{ "schema": "human-standardized-labels-1", "rubric": "standardized-human-v1.0", "fingerprint": "b234e11423780cdc0807cec0eb73433a93e91f7eefb0aa77e130e3fd50a42ade", "orderId": "hv28-fixed-bc5a14c697365b75", "coder": "13", "worklist": "A", "navigationOrder": "question-first-v1", "uiVersion": "q1-q4-only-20261027", "assessmentLayout": "q1-q4-only-v1", "componentScale": "component-correctness-v1", "sources": { "MED-01": {}, "MED-02": {}, "MED-03": {}, "MED-04": {}, "MED-05": {}, "MED-06": {}, "MED-07": {}, "MED-08": {}, "MED-09": {}, "MED-10": {}, "MED-11": {}, "MED-12": {}, "MED-13": {}, "MED-14": {}, "MED-15": {}, "MED-16": {}, "MED-17": {}, "MED-18": {}, "MED-19": {}, "MED-20": {}, "MED-21": {}, "MED-22": {}, "MED-23": {}, "MED-24": {}, "MED-25": {}, "SCR-01": {}, "SCR-02": {}, "SCR-03": {}, "SCR-04": {}, "SCR-05": {}, "SCR-06": {}, "SCR-07": {}, "SCR-08": {}, "SCR-09": {}, "SCR-10": {}, "SCR-11": {}, "SCR-12": {}, "SCR-13": {}, "SCR-14": {}, "SCR-15": {}, "SCR-16": {}, "SCR-17": {}, "SCR-18": {}, "SCR-19": {}, "SCR-20": {}, "SCR-21": {}, "SCR-22": {}, "SCR-23": {}, "SCR-24": {}, "SCR-25": {}, "MMT-01": {}, "MMT-02": {}, "MMT-03": {}, "MMT-04": {}, "MMT-05": {}, "MMT-06": {}, "MMT-07": {}, "MMT-08": {}, "MMT-09": {}, "MMT-10": {}, "MMT-11": {}, "MMT-12": {}, "MMT-13": {}, "MMT-14": {}, "MMT-15": {}, "MMT-16": {}, "MMT-17": {}, "MMT-18": {}, "MMT-19": {}, "MMT-20": {}, "MMT-21": {}, "MMT-22": {}, "MMT-23": {}, "MMT-24": {}, "MMT-25": {}, "DRA-01": {}, "DRA-02": {}, "DRA-03": {}, "DRA-04": {}, "DRA-05": {}, "DRA-06": {}, "DRA-07": {}, "DRA-08": {}, "DRA-09": {}, "DRA-10": {}, "DRA-11": {}, "DRA-12": {}, "DRA-13": {}, "DRA-14": {}, "DRA-15": {}, "DRA-16": {}, "DRA-17": {}, "DRA-18": {}, "DRA-19": {}, "DRA-20": {}, "DRA-21": {}, "DRA-22": {}, "DRA-23": {}, "DRA-24": {}, "DRA-25": {} }, "records": { "ae2ea266171341d0f27d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.661Z" }, "0458f922575584bf080b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "757963dd545e69ffcaa4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "9441d5f900f40f9f0d8f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "It awards credit to a digit-only answer by discarding the visible trailing n. The assessment therefore rests on a reconstructed answer rather than the submitted expression; this is a mismatch to actual student progress, separate from merely choosing a wrong mark.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.375, "completedAt": "2026-10-30T08:50:42.015Z" }, "edbb6298cbd17f56b808": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the visible n(7)=7n with appropriate wording.", "correct": "The stated value 7n does not earn the point for 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "8f8c99b3299a5e510d51": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "The trailing glyph after 7 resembles n. Whether it is part of the answer or a stray mark changes the single-point award; the image does not establish that intent. Do not turn this into a confirmed 1/1.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.224999999999994, "completedAt": "2026-10-30T08:02:29.741Z" }, "acaf9eabb33dd582e640": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "bfbd2d4597e44e29ef69": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "0c1d8acbef36b6387f1f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "eea47c8a00b3e617138e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the final line as 5 degrees.", "correct": "Three working marks are supported; the final-answer point is not.", "right_place": "Addresses all scheme points for the angle difference.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "4e3531c4496a2c05b28e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "The decisive submitted subtraction ends in 5°, not 105°. The response grades a reconstructed correct subtraction as if the student had written it, so it does not address the actual final-step error relevant to the mark.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "8b6a6e9d8877a0d5635d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "The decisive submitted subtraction ends in 5°, not 105°. The response grades a reconstructed correct subtraction as if the student had written it, so it does not address the actual final-step error relevant to the mark.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.282, "completedAt": "2026-10-30T08:50:42.015Z" }, "669d3ffd826a6034cfd3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says the required values are clearly identified without acknowledging the wrong final exponent 4.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "The two-sentence justification explains both awarded points. The visible exponent error does not establish a separate missing required field or scope defect; do not automatically duplicate a mathematical-reading objection under Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.563, "completedAt": "2026-10-30T08:50:42.015Z" }, "3e1a91a8db20a29625a7": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.698, "completedAt": "2026-10-30T08:50:42.015Z" }, "554d512783969ce037f3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 24.532, "completedAt": "2026-10-30T08:50:42.015Z" }, "bd55f0ca41a78bb6cfe3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "031401142c6c08ca3d60": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "9e62b0fcf4d5e3e645dc": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "3b8ec1b05a245e9ac431": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads 120%,140% and boxed 5/7.", "correct": "1/3 correctly rewards the first increase only; additive 140 is not compounding.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "0ded5c3f8011a1a2b0e2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents 144 and boxed 5/12; image shows 140 and 5/7.", "correct": "The student writes 140, not 144, after the second increase. Crediting a complete compounding process by reading this as 144 is unsupported; the scheme supports the first process point but not that second point.", "right_place": "The work uses 140 after adding two twenty-percent increments. The response instead grades a completed 100→120→144 compounding process that is not present, bypassing the actual student error rather than only misallocating a mark.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 11.482000000000001, "completedAt": "2026-10-30T08:50:42.015Z" }, "a8686e413c0f2b92a02f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads 120%,140% and boxed 5/7.", "correct": "1/3 correctly rewards the first increase only; additive 140 is not compounding.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "ee4bd774f8282dfe4535": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "Subtracting 120 and dividing by 12 is the appropriate ratio procedure, but it is applied to the incorrect total 360. The supplied point scheme does not explicitly settle follow-through for this second point after a wrong polygon sum. A definitive 0-versus-1 ruling needs that convention, not a reference preference.", "right_place": "The response grades the actual pentagon work and discusses the relevant ratio method. Uncertainty about a method-point award belongs to Q2; it does not by itself establish that a different target was addressed.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 130.39099999999996, "completedAt": "2026-10-30T08:02:29.741Z" }, "e50bf60f89dea77590b4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "The same missing convention affects this 0/4 interpretation as the two 1/4 interpretations: the ratio procedure uses a wrong total 360, and the excerpt does not explicitly settle follow-through for that second point. Do not certify zero solely because Opus prefers it.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.2319999999999998, "completedAt": "2026-10-30T08:50:42.015Z" }, "756546d8a7737019b8b0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "Subtracting 120 and dividing by 12 is the appropriate ratio procedure, but it is applied to the incorrect total 360. The supplied point scheme does not explicitly settle follow-through for this second point after a wrong polygon sum. A definitive 0-versus-1 ruling needs that convention, not a reference preference.", "right_place": "The response grades the actual pentagon work and discusses the relevant ratio method. Uncertainty about a method-point award belongs to Q2; it does not by itself establish that a different target was addressed.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 12.347, "completedAt": "2026-10-30T08:02:29.741Z" }, "7c85a21defb8ed325a56": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "50.5 is visibly correct, but the supplied scheme lists three method points and an intermediate accuracy point without a general answer-only/implied-credit convention. It does not determine whether this answer-only work earns 1 or full credit. Retain the ambiguity rather than invent a blanket rule.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "44b28141cf126b3900e3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "The response assesses the requested final angle in the actual student submission. Its full-credit interpretation may need scheme clarification under Q2, but it does not switch to another mathematical target.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.106, "completedAt": "2026-10-30T08:50:42.015Z" }, "962f78a209bbbf2daf68": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "50.5 is visibly correct, but the supplied scheme lists three method points and an intermediate accuracy point without a general answer-only/implied-credit convention. It does not determine whether this answer-only work earns 1 or full credit. Retain the ambiguity rather than invent a blanket rule.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "5357e5717ee93f130885": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "41288332abeded8e3a5a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "d9902310d82c4e33f756": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "3663065d9312ec87f422": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The written 9.77 cm is correct. The supplied scheme does not state the general M/A dependency or answer-only implied-credit rule needed to choose 1/4 versus 4/4. Neither automatic full credit nor accuracy-only credit is settled by this excerpt.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "d46e9b37eaa409e1c939": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The written 9.77 cm is correct. The supplied scheme does not state the general M/A dependency or answer-only implied-credit rule needed to choose 1/4 versus 4/4. Neither automatic full credit nor accuracy-only credit is settled by this excerpt.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "146eb524ba8c3c8b02f3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "It grades the radius requested by this problem. Whether the final answer implies all method points is an assessment-correctness question, not evidence that it assessed another target.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.856999999999998, "completedAt": "2026-10-30T08:50:42.015Z" }, "51a9470884100c38a89c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "The scheme explicitly permits the starting-value route 100→120→144. Once that complete route is credited, withholding its first process point solely because 1.2 is not explicitly written contradicts the permitted equivalent method.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.345000000000002, "completedAt": "2026-10-30T08:02:29.741Z" }, "86900098d2cfeb3c2b70": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "", "right_place": "The requested compounded-share fraction and the relevant submitted process are assessed. A disputed process-point allocation is not automatically a task-relevance failure.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 69.05099999999999, "completedAt": "2026-10-30T08:02:29.741Z" }, "5774c34bccc56757acfd": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "The scheme explicitly permits the starting-value route 100→120→144. Once that complete route is credited, withholding its first process point solely because 1.2 is not explicitly written contradicts the permitted equivalent method.", "right_place": "The requested compounded-share fraction and the relevant submitted process are assessed. A disputed process-point allocation is not automatically a task-relevance failure.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.26, "completedAt": "2026-10-30T08:02:29.741Z" }, "efc1691dd21b006f1c93": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), and also 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 29.876, "completedAt": "2026-10-30T08:50:42.015Z" }, "fe262e33eab11b2eba7d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.782, "completedAt": "2026-10-30T08:50:42.015Z" }, "3f3aae12b56c50d35d0e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3^(3/2))^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 93.28200000000001, "completedAt": "2026-10-30T08:50:42.015Z" }, "3e5b002cd960534fdaeb": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The incomplete 4(x²− )+3 sits beside the given x²−5. Whether that substitution attempt earns the first method point is not specified by the excerpt. Apply that uncertainty symmetrically to the zero-credit and one-credit interpretations; later −23 and missing solving stages do not resolve the first point.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.498, "completedAt": "2026-10-30T08:50:42.015Z" }, "2804f09c258dd6b45105": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The bracket in 4(x²− )+3 omits its constant, with x²−5 separately present. The excerpt does not settle whether that incomplete substitution earns the first method point; the subsequent −23 is wrong. Do not certify either 0 or 1 from an unstated completion rule.", "right_place": "It evaluates the requested composite-function work and identifies the incorrect equation. The disputed credit for the incomplete bracket does not make this a response to a different task.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 25.583, "completedAt": "2026-10-30T08:02:29.741Z" }, "7ce64ad797ee6e201f60": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The incomplete 4(x²− )+3 sits beside the given x²−5. Whether that substitution attempt earns the first method point is not specified by the excerpt. Apply that uncertainty symmetrically to the zero-credit and one-credit interpretations; later −23 and missing solving stages do not resolve the first point.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.332, "completedAt": "2026-10-30T08:50:42.015Z" }, "ea850d92bdd9afe57409": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims c=-20 is correctly substituted; formula visibly ends in×20, not×(-20).", "correct": "The final factor under the formula radical is not securely readable as +20 or −20. The same unresolved sign that affects the 4/5 candidate also affects these 5/5 judgments. Correct final roots do not retroactively determine that glyph.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.4330000000000003, "completedAt": "2026-10-30T08:50:42.015Z" }, "58758ed02a6154e2ae9a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently supplies the missing negative sign for20 under the radical.", "correct": "The final factor under the formula radical is not securely readable as +20 or −20. The same unresolved sign that affects the 4/5 candidate also affects these 5/5 judgments. Correct final roots do not retroactively determine that glyph.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.181, "completedAt": "2026-10-30T08:50:42.015Z" }, "53a72510f907aaffd891": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Wrongly identifies the final factor 20 in the formula as lacking its negative sign.", "correct": "The sign before 20 in the formula substitution is not secure enough to certify the proposed deduction. If −20 is present the substitution is correct; if +20 is written it is not. The correct final roots cannot settle the earlier glyph by themselves.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 20.982000000000003, "completedAt": "2026-10-30T08:02:29.741Z" }, "ec6c74ad3c6044908c54": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Rewrites r(2+2πr/3) and120/(6+2πr) as expressions without the extra r.", "correct": "Calls the written factorization/isolation correct when it improperly retains r; the final mark alone cannot rescue that explanation.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 5.993, "completedAt": "2026-10-29T16:40:58.977Z" }, "b629be547361ddbd607c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the extra r and later valid numeric isolation.", "correct": "The correct arc, perimeter and recovered isolation support method marks, with9.77 earning accuracy.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "98379f2ba9ac9e9c3aac": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently removes r from the bracket and denominator when quoting the intermediate equations.", "correct": "Endorses the erroneous symbolic factorization despite later correct numerical recovery.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 2.534, "completedAt": "2026-10-29T16:41:27.042Z" }, "c52632d69df37df44834": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The student subtracts the squared half-diagonal from 15². The response evaluates an invented addition setup followed by an arithmetic slip, so the justification does not address the actual hypotenuse-operation error.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.626000000000001, "completedAt": "2026-10-30T08:50:42.015Z" }, "032f10169103013a7525": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Changes the written subtraction into addition and describes a 225+50 arithmetic slip.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The student subtracts the squared half-diagonal from 15². The response evaluates an invented addition setup followed by an arithmetic slip, so the justification does not address the actual hypotenuse-operation error.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.456999999999997, "completedAt": "2026-10-30T08:50:42.015Z" }, "3d42654504a0649b4550": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads subtraction for the slant calculation and unsquared cosine left side.", "correct": "Only diagonal credit is earned; subtracting for the hypotenuse and unsquared cosine substitution are invalid.", "right_place": "Grades relevant pyramid methods and absent final angle.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "323f23840c26b65c3121": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "It grades the actual angle answer 50.5°. Its answer-only full-credit convention is a Q2 issue; no different requested target or prerequisite is substituted.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.724999999999999, "completedAt": "2026-10-30T08:50:42.015Z" }, "35cfe9703281ad178717": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "Only 50.5° is shown. The excerpt does not provide the general convention needed to decide whether all method credit is implied, so its 1/5 allocation cannot be confirmed as the unique defensible mark.", "right_place": "Assesses the actual answer-only submission.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "ecac601f45bf9209653a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "The response invents an explicit dependency of the final A1 on a shown Cosine Rule M1 and awards zero. No such dependency is stated in the supplied excerpt; absence of working alone does not justify the claim that no credit can be awarded.", "right_place": "It grades the requested pyramid angle; the invented mark dependency is an assessment-correctness defect under Q2 rather than a different task.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 8.565, "completedAt": "2026-10-30T08:02:29.741Z" }, "8503a91f561535ce1918": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the visible.55,.45 and lack of a defensible required product.", "correct": "No correct product and no.76 are shown, supporting0/2.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "a6ad4c132698598709bd": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims a legible.80×.95 setup although the left column is overwritten subtraction, with no visible multiplication.", "correct": "The work shows addition/subtraction with 0.2 and 0.35 and the answer 0.45. No readable 0.8×0.95 product earns the method point asserted by the response.", "right_place": "The response grades a supposedly written 0.8×0.95 product, whereas the actual work uses addition/subtraction of other probabilities. It assesses an invented process instead of the submitted one.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.074, "completedAt": "2026-10-30T08:50:42.015Z" }, "29323ee5fb6062466761": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the visible.55,.45 and lack of a defensible required product.", "correct": "No correct product and no.76 are shown, supporting0/2.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "98a73e5b5bd6282d705d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme accepts their-value follow-through and valid equivalent methods. Denying the angle-method mark merely because an equivalent doubled arctangent is not the Cosine Rule is unjustified; the response also categorically rejects the possible their-half-diagonal interpretation without addressing the authorised follow-through.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 22.415, "completedAt": "2026-10-30T08:50:42.015Z" }, "56b22098e964ff6e2290": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme permits their-value follow-through. Treating 5 as their half-diagonal gives √(15²+5²), and doubling arctan(5/15) is the equivalent angle method for that assumed triangle. The wrong diagonal and final angle lose their accuracy credit, but this method-credit interpretation is defensible.", "right_place": "It evaluates the slant-edge and vertex-angle methods in the actual submission. A defensible follow-through interpretation is not a change of the requested assessment target.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 37.315999999999995, "completedAt": "2026-10-30T08:02:29.741Z" }, "bf006ffcebafe7f2c682": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme accepts their-value follow-through and valid equivalent methods. Denying the angle-method mark merely because an equivalent doubled arctangent is not the Cosine Rule is unjustified; the response also categorically rejects the possible their-half-diagonal interpretation without addressing the authorised follow-through.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 28.052999999999997, "completedAt": "2026-10-30T08:50:42.015Z" }, "56b7df425fbabe69b1ea": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the missing decimal and reads25kg with75kg.", "correct": "The spacing/dot in the handwritten final length does not securely settle 25 versus 2.5. A supported proportional setup exists, but that reading affects the accuracy award and the claimed completed comparison. Do not certify either the low-credit or full-credit interpretation by inferring the desired decimal.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "d953be679aa308975b4c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "States2.5m as written although the visible final is25m without a decimal.", "correct": "Its own justification recognises the 25 kg cement→2.5 m scaling and the 75 kg sand check. Denying every process point solely for lack of an explicit division while awarding supported-answer credit disregards that equivalent process.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.637, "completedAt": "2026-10-30T08:02:29.741Z" }, "addb36ae07dc8332612d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently inserts decimals and a within1 00 comparison that are not clearly written.", "correct": "The spacing/dot in the handwritten final length does not securely settle 25 versus 2.5. A supported proportional setup exists, but that reading affects the accuracy award and the claimed completed comparison. Do not certify either the low-credit or full-credit interpretation by inferring the desired decimal.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 6.52, "completedAt": "2026-10-30T08:50:42.015Z" }, "df893b046ed539b02b25": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540−120=420 and the 12 ratio parts are correctly recorded before 420 is copied as 240. This supports the second method point; the later copying error and resulting wrong angles do not erase that already evidenced setup.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.699, "completedAt": "2026-10-30T08:02:29.741Z" }, "affd7e7bd97ad1c718df": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "It grades the requested angle difference and the actual written steps. Correctly distinguishing a setup method from later copying/accuracy errors fulfils the assessment target.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.00600000000001, "completedAt": "2026-10-30T08:02:29.741Z" }, "8d16fde24969fb9bec5e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Method credit is supported by explicit correct420 and12 before the transcription slip, unlike MED-08 where the initial angle sum is conceptually wrong.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "It grades the requested angle difference and the actual written steps. Correctly distinguishing a setup method from later copying/accuracy errors fulfils the assessment target.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 8.442, "completedAt": "2026-10-30T08:02:29.741Z" }, "5b557ce98a8f244c6239": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "4d04f0e05ed7b5e66535": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "a5332f3a2e75ddc17340": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "5ee7953b4cfed1f9492d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the visibly written intermediate radicand2 to3.", "correct": "The intermediate denominator visibly uses √2 before the stated √3/6561 result. A complete correct rationalisation cannot be established by silently replacing √2 with √3. The response certifies full method credit despite that contradiction.", "right_place": "It certifies a displayed rationalisation from a √3 denominator by silently replacing the actual √2 glyph. That reconstructed intermediate step hides the student error relevant to the method point. By contrast, explicitly acknowledging an uncertain glyph is not automatically a Q3 failure.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "7f277228dc6f5395b56f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "The intermediate denominator visibly uses √2 before the stated √3/6561 result. A complete correct rationalisation cannot be established by silently replacing √2 with √3. The response certifies full method credit despite that contradiction.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "af2d9742d13d4596ce7d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "The first-step and final-answer expressions match scheme points, but the intervening √2 line is invalid and the excerpt does not settle terminal A1 dependency here. The claimed 2/3 is plausible only under one convention; its unique correctness is unresolved.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "70bbc52b64769f419b2d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "e2a308eb7784eda8b331": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "4f7dd341918c3fc6feed": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" }, "51587631b0cd61bb1d8b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category boundaries are not uniquely determined by the fragment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly distinguishes visible valid comparisons from supplied C;A.", "correct": "The chosen smallest fraction C contradicts the student’s own 4/11<5/11. Logical inconsistency is a defensible observed-error classification; the response expressly does not claim a known hidden cause.", "right_place": "Targets the first supported mismatch in the submitted answer.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "e968694630cbc39e8daa": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The two same-denominator comparisons and converted fractions are read faithfully. Whether an ineffective bridge should count as an originating error is a mathematical/target issue, not an invented visual inscription.", "correct": "Comparing 5/11 and 4/13 is valid; incomplete comparisons do not establish the alleged procedural error.", "right_place": "Replaces the supported inconsistent C choice with an invented earlier error.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "fe24c57968c44625fbaa": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Duplicated output fields.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The response reads the actual comparisons and conversions accurately. Its inferred strategy/cause should be checked under the diagnosis criteria rather than automatically treated as a misread symbol.", "correct": "A valid but incomplete comparison is not an invalid step; the asserted misconception and causal path to selecting C are unsupported.", "right_place": "Diagnoses an invented bridge error instead of the supported inconsistent answer.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "ef6368fd87273d75ff7d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "496e5b7cbba89d246b0b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "ccf2bbbe41a982d658f0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The long-division detail is rough; the stated numerical dependency is sound.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "d506be0080c6ed94626e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference also overlooks the earlier omission.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "correct": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_place": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "375fb451fd8a1e76bb3b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest error diagnosis itself is supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Although it reads63+60 correctly, it invents a subsequent−6x=3; image shows−6x=−3.", "correct": "63+60 is123, not+3; describing the later steps as merely carrying this error forward is mathematically false.", "right_place": "An earlier dropped sign versus a later division error depends on the unclear strokes before 63. Neither the reference nor the later −3 authorises silently choosing an earlier reading.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "4d1983b6a7461f0dc219": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Does not explicitly flag reference conflict; its diagnosis nevertheless clearly supplies the earlier error.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "correct": "A stationary−63 must retain its sign; procedural sign handling is a defensible diagnosis.", "right_place": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "8a5010ebe2c4b8093bd9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It acknowledges that the scratch denominator/operator is ambiguous. The final fractions and that fragment are not visually misquoted; the false requirement to reduce belongs to the correctness and target judgments.", "correct": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_place": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "035cccea1ada183a9465": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Calculation Error is a provisional fit for a conditionally false equality; its cause remains unknown.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Localizes ambiguity in8/28=13/24 instead of silently replacing the relation.", "correct": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_place": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "ca88938353ed376f94aa": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The response appropriately notes equivalent final fractions; category cause is overconfident.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "correct": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_place": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "714b92e106ce2c91df05": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads11 as12 and22 as24, then infers an unwritten9×9 operation.", "correct": "Declares the visibly wrong perimeter computation valid and assigns an unsupported conceptual cause.", "right_place": "Skips the visible earliest addition error in favor of a hidden area step.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "e46eb3ca9b16295aba48": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads11 subtotal and22 perimeter faithfully.", "correct": "9+3=12, not11; Calculation Error fits the visible invalid addition.", "right_place": "Identifies addition before doubling and does not invent how81 arose.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "5bbebcbee767646d1a39": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes visible22 to24 and declares the perimeter line correct.", "correct": "The claimed correct computation contradicts9+3=11 and the written22.", "right_place": "Misses the supported addition error and diagnoses a missing later procedure.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "d54536086286189ec02c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is defensible for use of an insufficient bound as the full condition; the inequality alone is a true necessary condition.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "The weak bound allows39 people and5 final boxes; stricter condition needsx>39, while other bound givesx≤43.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "fdb5772a8c7340d52e64": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual modeling category is defensible without inferring persistent beliefs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "5x+38<6x is too weak for a last share below five; the strict condition is 5x+38<6(x−1)+5. Describing this as a conceptual modelling error is defensible even though Problem Comprehension could also describe it.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "489f546f138ba8f2c237": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logical reasoning category appropriately distinguishes necessary from sufficient conditions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_place": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "634f8a74f44a65024ca1": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Left-right chronology is not independently established, but both multiplication setups instantiate the same supported issue.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Grounds the diagnosis in visible×1.2 and×0.8 and the given selling price240.", "correct": "Cost is selling price divided by1.2 or0.8; conceptual percentage-base diagnosis is sound.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "34f9d5c5fa8497c98855": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It accurately records the visible 24/2.4 multiplication entries and notices the scale inconsistency. Its claim that all such discrepancies follow from the percentage-base error is checked under Q2 rather than counted again as invented handwriting.", "correct": "A percentage-base mistake does not imply the independent decimal inconsistencies: 2.4×0.8=1.92, not 19.2. The response incorrectly treats those later discrepancies as mathematically consistent downstream consequences.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "620321fd144c3a431b70": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "correct": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "dc080ef86b6c49b964e3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "eaf6716c7e76cc9ea682": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Careful wording says625 is consistent with five segments rather than claiming125×5 is written.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads six marks and the5 segment count without silently repairing lower work.", "correct": "Six cuts yield seven pieces;625 is consistent with125×5, and conceptual count category is defensible.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "ab807e7acb5f2cd5ad29": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest count error is nevertheless correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "c7b6b44b7982dc87ccee": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is a plausible provisional category; exact cognitive cause is not observed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "The base sum must be 28−2×5=18; using 24 explains the wrong area. Problem Comprehension is a defensible category for that observed quantity mismatch even though the unwritten source of 24 cannot be recovered.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "241f4b4c98d1f2e26d77": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It labels the sub-step inferred, yet overstates what that inference demonstrates.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "correct": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "1515b9b403432def575c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Procedural omission/incorrect preliminary value is defensible; it does not require a unique hidden arithmetic cause.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "Using the wrong base sum within an otherwise correct area procedure supports a procedural-error interpretation. The response clearly acknowledges the unshown derivation; a different defensible category is not automatically incorrect.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "8b84357dc86dcef66b0c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "9fbefbb140c106b765d2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "2d4363e1c2faffb48be6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "e9d9c8b45fa3eddf7d4d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently replaces the final m² chain with m and infers an omitted second-case reasoning failure from an incomplete fragment.", "correct": "Missing shown derivation of a correct supplied second answer is not an established mathematical error; the final chain is not internally correct.", "right_place": "Misses the visible square/root equality and diagnoses missing work instead.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "da512cb376b8f6669e26": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the final chained equality with m² retained.", "correct": "27/50 is not its square root; changing to m is required. Procedural Error fits this operation.", "right_place": "Locates the actual invalid transformation after correct algebra.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "645a9f85e6a3322af3ef": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible final chain keeps m² on the left before equating it to a square-root expression. The response describes this as a line giving m=±3√150/50 and calls the preceding work sound, silently replacing the written left-hand quantity.", "correct": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_place": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "57b8089051ec0646f9f7": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "990e5226e02137bcf522": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Numeric value was obtained” is imprecise, but the response immediately explains the represented decimal differs from the required percentage.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "b5693ebc2eb773ce255c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category describes notation knowledge application, without explicitly asserting a persistent misconception.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 is not 10.58%. Explaining the omitted percent notation and its changed meaning supports a conceptual-notation classification of the observed response; this need not establish a persistent learner belief.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "6d3bc219236acda19a0d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Derived” overstates the visible recalled formula, but does not alter the supported diagnosis. Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "7c762708b400c8a8bedb": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims the visible formula lacks a minus even though a short minus is present between b² and4ac.", "correct": "The lower written formula visibly contains b²−4ac. A diagnosis that specifically says the minus is absent there misclassifies an expression that is correctly written, regardless of omissions elsewhere.", "right_place": "Moves the error into an earlier correct formula instead of the supplied typed second root.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "017b506707cd960491d9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "772caffb5927d92d8ea0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Source conflict prevents a definite cross-source chronology.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Explicitly separates recorded−16 from uncertainty in visible first and last terms.", "correct": "Dropped decimal in the supplied answer is a valid transcription mismatch, and its mathematical explanation is correct.", "right_place": "The typed first term −16 conflicts with the image’s visible decimal; the final sign is also unclear. The supplied evidence has no priority rule that settles which sequence determines the earliest error.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "06b69bd82e937db4ba41": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Insists the image reads−16 despite a decimal point between1 and6, and treats final term as correct despite missing inner minus.", "correct": "It certifies all remaining conversions as intact despite the image’s last term appearing +(3.1), not +(−3.1). The typed-answer interpretation cannot erase that conflicting written sign.", "right_place": "The typed first-term copying error and the image’s apparent final-term sign error point to different earliest defects. The response chooses the former without resolving that evidence conflict.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "84c593d955c2835e44f0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "It reports the apparent +(3.1), the visible −1.6 and the conflicting typed −16, rather than silently rewriting one source to agree with the other.", "correct": "Subtracting3.1 must become adding−3.1; a procedural sign diagnosis is defensible.", "right_place": "The candidate flags the image/typed-answer conflict, but which error is earliest remains unresolved because the sources disagree and no precedence convention is supplied.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "7c2c98a9007f6edb8904": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It says final step is unwritten; proposed termwise sign slip is a direct comparison of answers.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "b484cb6b941f232ea778": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core sign mismatch is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "correct": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "c138ea32d4601e029de7": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "34434a2a7711d6792064": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the expansion with+12 rather than−12.", "correct": "−6×2=−12; distribution/procedural diagnosis is supported.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "9eb8be9a7a71bdc3abf4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "fe87dfbf4017c4ad3d49": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "33dcc0d4a18d17d9b951": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Required category is explicitly non-substantiated; this respects the seven-choice constraint while explaining evidence.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "5/70=1/14, so no mathematical error is supported; mandatory category can be accompanied by explicit limitation.", "right_place": "5/70=1/14, and the actual task has no lowest-terms condition. Identifying the unsupported error premise is relevant; the reference’s chosen simplification cannot create a mathematical error.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "aecb71b2bf800905fcce": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_place": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "17aa8b13521b4a36474c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The explanation calls simplification a deviation from expected form rather than denying mathematical equivalence. The category is weakly supported, but the substantive source-conflict diagnosis is defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_place": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "3ad55aeb3477f0bcc144": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Decimal ambiguity acknowledged; its statement of half-distance in kilometers is supported by the supplied answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "c1c60d201eb0cc89fe26": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "b2f01760a6b755167c96": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Failing to register” is an interpretation of the unit mismatch, not evidence of a persistent learner belief.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "9316348b5f60bc92775e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the first plus sign as minus and asserts an initial miscopy.", "correct": "The first written polynomial has +2x²; the later combined expression changes it to −2x². The response instead locates a copying error in the initial line and says the later combination is correct, which reverses the visible sequence.", "right_place": "Locates error in the wrong line instead of the change during simplification.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "721f1a4e287415b1ac89": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "119deaf549c52655fc90": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "493ef436e749126bc70d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls first rewrite correct while omitting its exterior s²t factor.", "correct": "First expression is not equivalent to the quotient because of the extra outside factor.", "right_place": "Selects later25→75 while missing the earlier exterior-factor mismatch.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "6af0fd737adcb076c67e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies first exterior s²t and later prefactor, with final-answer limitation.", "correct": "Original s² cancels andt³/t=t²; exterior s²t is unjustified and first equality invalid.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "35c273b10a4d0837009d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Its diagnosis of the unjustified s² factor and correct reciprocal mathematics are nevertheless valid. Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "correct": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "cec6c8e9530374f7293e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It faithfully reports the 47+55 subtotal and the different 104 in the product, explicitly noting that inconsistency. Whether the missing −2 can be established as the first procedural error is a diagnosis issue; no written term is silently changed.", "correct": "A correct intermediate addition is not an invalid procedural step; omitted−2 alone would yield102, not104.", "right_place": "Selects a valid subtotal as earliest error instead of the unsupported104 factor.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "4567730c3df79820c61c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "34422dfdc7a7c120c7be": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Acknowledges exact addition of2 is not shown; sign/term slip is an appropriately bounded interpretation of104.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "0afe3a0f16c44c87cef6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "54500dafbc902c1f0a7b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual category is reasonable for interpreting the remainder, although the cognitive cause is not uniquely established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "f48a75cdbe03a0b3ffa2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Final-answer mismatch is correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "correct": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "89f12db7305980680c0d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No decimal point is clear in quotient16, but decimal continuation makes1.6 plausible; lower168 is the more definite invalid computation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "correct": "33×6=198, not168; Calculation Error is the supported category for that product.", "right_place": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "7e95de29a00a91919c60": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "correct": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_place": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "52d7825482c4843bfeab": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The wrong-precision observation itself is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "correct": "Rounding1.666…to1.7 uses tenths rather than required hundredths; detail diagnosis of that later error is mathematically defensible.", "right_place": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "8c0f9e2c02e5839f1f52": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The separate (6m+7)x=0 is visibly present. Whether it is an invalid transformation or a condition imposed for infinitely many solutions is a mathematical/sequence interpretation, not a misread inscription.", "correct": "Under infinitely many solutions the right side must be0; writing(6m+7)x=0 is compatible, not intrinsically invalid.", "right_place": "For infinitely many solutions, imposing the necessary zero constant is compatible with the problem. The separate top-right line is not proof of an earlier invalid replacement or nonzero coefficient, so that alleged first error is unsupported.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "67db2efe41982fff16ce": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "correct": "The zero-right-side statement is a valid necessary condition for infinitely many solutions, although incomplete alone.", "right_place": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "ffa6cf4be194ec030b18": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Distinguishes valid rearrangement, separate compatible condition and unshown submitted-values derivation.", "correct": "Withm=n=0,7x=0 has one solution; identity needs coefficient and constant zero.", "right_place": "Targets supported final-values error and acknowledges earliest transformation cannot be located.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "c724e12ab78cab9049b6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Says no division by2, ignoring top-right3÷2 with quotient1.", "correct": "Claim the student never uses capacity and simply solves total tonnage is contradicted by visible division.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "1921c6e93aa721a382a0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims capacity never used and no division performed despite visible3÷2.", "correct": "The alleged omitted capacity step is present, so its procedural-cause claim is unsupported.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "d3ca1bc629932b13c628": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads total, conversion and begun3÷2 with quotient1.", "correct": "Two trips carry3 tons at2 tons per trip;3 trips is not minimum.", "right_place": "Targets final minimum conclusion and acknowledges its derivation absent.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" }, "f39afd41cdbfb2fd7f3b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "459ef8c2386cd4b299ac": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "5c9e23e484c6033b5b09": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "d42b10e9a958495f26fe": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads the generic a^(m-n),a^m/a^n note as a separate base9 expression.", "correct": "Taking logarithms is a valid immediate continuation for 4^(x−2)=60; same-base rewriting alone cannot isolate x without the logarithmic inverse. The generic a^(m−n) note does not require that route or make the log step irrelevant. Its separate base-9 misreading is already covered by Q1.", "right_place": "Taking logarithms is a valid immediate continuation for 4^(x−2)=60; same-base rewriting alone cannot isolate x without the logarithmic inverse. The generic a^(m−n) note does not require that route or make the log step irrelevant. Its separate base-9 misreading is already covered by Q1.", "right_amount": "All three sections execute a bounded transformation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "e4ddafc8ccb48843a9b5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Invents a stack of powers of9; the note is the generic exponent quotient rule.", "correct": "4^(x-2)=4^x/16 is valid.", "right_place": "No main-equation step has yet been performed, and a logarithm is an appropriate next operation. The generic quotient identity does not mandate a different continuation.", "right_amount": "Gives the fully isolated x=2+log60/log4 while describing isolation as an unperformed subsequent step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "6aec3dc8740edd7a945f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly recognizes the exponent quotient rule written beside the equation.", "correct": "4^(x-2)=4^x/16 is valid.", "right_place": "Preserves the exponent-rule approach visible on the right.", "right_amount": "All three sections execute a bounded transformation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "ce14f075001e360653ab": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "The denesting expansion and coefficient system yield p=q=1/2 and x=(√5−1)/2, whose cube is √5−2. Cubing the original substitution alone merely restates the radicand; this supported alternative next operation is mathematically valid. Any separate excess-scope defect remains Q4.", "right_place": "The denesting expansion and coefficient system yield p=q=1/2 and x=(√5−1)/2, whose cube is √5−2. Cubing the original substitution alone merely restates the radicand; this supported alternative next operation is mathematically valid. Any separate excess-scope defect remains Q4.", "right_amount": "Solves p,q, denests completely to(sqrt5-1)/2 and verifies the full answer, well beyond one next operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "eab2e8b658fd70f0bab3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "Cubing gives x³=sqrt5-2; rearranging to sqrt5=x³+2 is equivalent.", "right_place": "Uses the existing substitution without an invented prerequisite error.", "right_amount": "Provides all three functions and stops after activating the substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "0b8d94bb6077de5272fe": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "Cubing gives x³=sqrt5-2; rearranging to sqrt5=x³+2 is equivalent.", "right_place": "Uses the existing substitution without an invented prerequisite error.", "right_amount": "Provides all three functions and stops after activating the substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "f651e5e7e477286ad3be": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the remaining counts and blank numerator correctly.", "correct": "Nine favorable members out of19 gives9/19.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "56c2eb7b17cba3a611be": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the remaining counts and blank numerator correctly.", "correct": "Nine favorable members out of19 gives9/19.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "9a75bb93e42a8df19edc": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads option A as0/19; the printed numerator is9.", "correct": "Printed option A is 9/19. Its statement that no option equals 9/19 and recommendation to recheck the options are false assessment claims, even though its probability calculation is correct.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "ba379a80e546ea2b0aaf": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Misreads D=60θ as D=60degrees and speculates about its intent.", "correct": "States50+105-90=55, but that expression equals65; the correct55S follows105-50.", "right_place": "Supplies the prerequisite distance for the existing relation.", "right_amount": "Continues from flight distance through latitude difference to B latitude, adding an unnecessary later target." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "97bf9f354da8540951fe": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blue distance-angle relation and missing linear distance.", "correct": "900 nautical miles/hour×7hours=6300 nautical miles.", "right_place": "Supplies the prerequisite distance for the existing relation.", "right_amount": "Rationale, next operation and detailed execution stop at the required distance." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "f5b04f82832aa4e8c824": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls D=60θ a computed value D=60degrees rather than the written relation.", "correct": "The written D=60θ is a distance–angle relation, not D=60°. The response replaces that correct relation with D=105° while declaring it a correction; computing 105° does not validate that change of the defined quantity.", "right_place": "Makes correction of an invented60degree answer its target instead of using the valid relation.", "right_amount": "It prescribes the bounded calculation vt/60 and gives its angular result, without going on to the latitude of B or other later targets. That permitted result is not automatically excess disclosure. Its misreading of D=60θ is assessed under the other constructs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "20a01f63cc06318f764a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Infers the student confusion from the pen position and states no earlier error despite unverified source height.", "correct": "The numerical sum is correct, but the claimed blocker that a fractional factor cannot be merged before summing is false: distribution and exact rational arithmetic permit it. This is a substantive erroneous mathematical explanation.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "d7156a9d1e5159099fc0": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes radii in original diagram from later recorded h=20.", "correct": "Frustum expression and arithmetic are valid conditional on h=20; retaining h gives615.832h/3.", "right_place": "The ordered work explicitly records h=20 in its data list and proceeds correctly from it; nothing supplied contradicts that datum. Replacing it with an unknown instead of giving the next arithmetic step invents an unsupported blocker.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "a664e5df616b9ffc7858": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts the student is treating the denominator as immediate division solely from the resting pen.", "correct": "Dividing 62.84 by 3 first does not force rounding if the rational value is retained. The assertion that summation and multiplication must precede division excludes valid exact arithmetic, despite the correct final numerical value.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "The prescribed operation evaluates the remaining numerical expression and gives its result; it does not introduce a subsequent geometrical method. The reference may stop at the bracket sum, but the generic task does not make that one continuation mandatory. Its false forced-rounding explanation remains a Q2 defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "2d17543479bddc983b74": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "fce98727c793dd07e226": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "9c0a914ee3d73983b9c5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" }, "45612e06b30371f45199": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "9636025cb0ec2ac99bcd": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "d11d012560a7a3bc16d5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "90fe6b7cd5f10780e475": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Continues the valid square-completion operation already underway.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "421798c49d89bbac66c9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Replaces the already-started valid completion with a quartic squaring strategy and calls completion a detour, contrary to preserving the valid approach.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "fa42ed8a03ed2c592137": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Continues the valid square-completion operation already underway.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "3a37b725956a7467d627": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference differentiates only. Proving derivative positivity or using it to obtain a first bracket are supported bounded alternatives.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies f and floor(a^6) target without inventing work.", "correct": "Derivative5x^4-3x²+1 is positive; f(1)=-1,f(2)=24 support11 branch can itself continue.", "right_amount": "Explains and executes the omitted-case check without solving all remaining branches." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "380728bab6d24fa866e9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "Accurately reads coprime integer condition and the written positive-b restriction.", "correct": "False factor-matching claim: coprime factor pairs with equal product need not match (6·35=14·15); also b≥0 does not imply b≥1.", "right_place": "It explicitly endorses b≥1 and concludes only the b=1 solutions, leaving the genuine (−1,0) case excluded. The offered continuation is built on that unresolved restriction, not merely a different valid strategy.", "right_amount": "Runs four proposed systems and claims the entire solution set, well beyond a single next divisibility operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "047604d179a6f3df6e12": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Accurately reads coprime integer condition and the written positive-b restriction.", "correct": "Unique factorization does not force coprime pairs to match; e.g.6·35=14·15. The ensuing no-b>1 claim is unsupported.", "right_place": "Acknowledges the b0 limitation and explicitly treats only the current b>1 branch; that branch is a valid target although its argument is wrong.", "right_amount": "Expands into multiple sign/order systems and a claimed whole solution set rather than the next divisibility step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "92340fffafa905230be7": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the quotient and substitutions accurately, including the two-sided issue when addressed.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "6785c90712e1dcd92c45": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Calls an alleged expectation of numerator1 the student misread without any such written claim; only an unfinished limit is visible.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "a42b33bac78ca4aa148d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the quotient and substitutions accurately, including the two-sided issue when addressed.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "9fc42be103cbe6b3ae2f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "20185e4a55d05db167bf": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "6757eaab453a05cffb85": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "5bbafaf867a703a9053e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "The displayed difference-of-squares identity is correct, but the explanation that it is the only form allowing xy=99 substitution is false: 2xy can already be substituted in the expanded factors. A correct operation does not rescue that material exclusivity claim.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "495a0378d250c189752c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "Identity gives(x²+y²)²-(2xy)²=1600 and substitution yields40804; positive square root202 when included is valid.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "207888719dd7bd31b18a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "Identity gives(x²+y²)²-(2xy)²=1600 and substitution yields40804; positive square root202 when included is valid.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "5f31afedb15a23a0f63d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "Provides rationale and detailed factorization result without back-substituting to x." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "01438ea59535e13e5427": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "Provides rationale and detailed factorization result without back-substituting to x." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "5f61cee2fcd3cc45fcc6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "After completing its prescribed factorization, separately computes the discriminant and solvesY=3; these are unnecessary subsequent solving steps." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "1c60987e5ef5f1ded1ff": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Explains and executes the division without unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "73b148eaa597d85df097": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Beyond isolating the square, solves±3 and verifies both by resubstituting in the entire original fraction, unnecessary later work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "f7dd11f1ea322b3a14dd": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Explains and executes the division without unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "d4c45c0c075a3219c402": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "No domain restriction to positive sin x and cos x is supplied. For x in quadrant III, tan x>0 but the separate real roots √sin x and √cos x are invalid, and (sin x±cos x)/√(sin x cos x) needs a sign adjustment. The stated identities are not valid across the integrand’s real domain.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "17eac45da168d639f2f3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "On tanx>0, u=sqrt(tanx)-sqrt(cotx) yields sum-portion integral du/(u²+2).", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "e3f98821316739ed644e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "No domain restriction to positive sin x and cos x is supplied. For x in quadrant III, tan x>0 but the separate real roots √sin x and √cos x are invalid, and (sin x±cos x)/√(sin x cos x) needs a sign adjustment. The stated identities are not valid across the integrand’s real domain.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "623d992af6278094d110": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "Forming and solving the single local angle equation 45°+x=60° is a defensible next key operation. Its result 15° is permitted. Unlike the other candidate, it adds no separate coordinate-closure verification after obtaining that result." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" }, "3259779f6d0690e35bdc": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "After determining the bearing, adds a separate coordinate/equilateral-closure verification that is unnecessary to the next angle operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "8dbb05e68224296922e3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "Provides rationale and executes the chosen bounded angle operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "0c48544deb0ce8839df5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The answer exceeds the five-word preference but supplies necessary specificity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The blue line visibly crosses at (0,1) and (1,0), and shading includes negative coordinates.", "correct": "x+y=1 is the wrong boundary for a maximum combined count of 12; counts cannot be negative.", "right_place": "It identifies the originating boundary error and the infeasible shaded region.", "right_amount": "It gives the relevant errors explicitly without solving the original inequality exercise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "07ed36a6f6f9eab3daf5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Wrong shading is read as the resulting feasible region, not a claim that the inequality directions are both reversed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "A misplaced diagonal and an incorrect feasible region are visible.", "correct": "The diagonal is displaced from x+y=12 and the shaded region is not the allowable production region.", "right_place": "It addresses the graph construction errors rather than an unrelated calculation.", "right_amount": "It names both line placement and shading defects concisely; exact equations were not expressly required." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "cd455e39aee705535434": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Shading exists despite the reference wording.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The diagonal is visibly wrong and the shaded region contains inadmissible points.", "correct": "The boundary should be x+y=12; the displayed graph does not represent the required region.", "right_place": "It targets the diagonal and resulting shading, the relevant errors in this graph.", "right_amount": "It names the two graph defects without adding a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "4ab4c98cc1bdbba79277": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "correct": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "right_place": "It answers the requested ratio check, although incorrectly.", "right_amount": "A yes/no answer is sufficient for this question; the defect is its truth, not missing explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "f7650f1dd390c93247e6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "correct": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "right_place": "It addresses the intended all-row ratio question.", "right_amount": "The concise yes supplies the requested answer format; no independent scope defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "7bdbf00b63970d744c32": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference conflict rests on the handwritten denominator.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "On the visible 3 1/5 reading, the five-tablespoon row does not preserve 3:2, while the other rows do. Identifying that row is supported by the original image rather than a repaired reference value.", "correct": "On the visible 3 1/5 reading, the five-tablespoon row does not preserve 3:2, while the other rows do. Identifying that row is supported by the original image rather than a repaired reference value.", "right_place": "It answers the ratio question and locates the relevant exception.", "right_amount": "The no plus named row is sufficient; a full recomputation is unnecessary." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "1f29c6e861b45a5d207a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The rationale is a supported interpretation, not a quotation of a written explanation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "20 appears in the estimate and nearest-ten rounding is supported by the task.", "correct": "20 is the nearest ten to 21.", "right_place": "It answers both what 21 became and why that rounded value was used.", "right_amount": "The rounded value and concise rationale fully answer the teacher question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "8344adf4045b9fc895e3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No written verbal rationale is visible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The estimate visibly uses 20; nearest-ten rounding fits the displayed change.", "correct": "Rounding 21 to the nearest ten gives 20.", "right_place": "It supplies the requested rounded value and rationale.", "right_amount": "Both requested parts are provided without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "752c1240204507b3c573": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "This gives the purpose of rounding, rather than a detailed proximity explanation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "20 is visible and the printed instruction explicitly asks for an estimate.", "correct": "Using 20 to estimate the product is mathematically defensible.", "right_place": "It answers the value and purpose of the rounding.", "right_amount": "The value and estimation purpose suffice, although nearest ten would be more specific." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "caf150ac387e1c694854": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The no-error claim overlooks the plainly written terminal 24.", "correct": "Five cats have 20 paws, so the final pair 10 ears/24 paws is wrong.", "right_place": "It denies the actual final-value error instead of diagnosing it.", "right_amount": "A no-error response is complete in form; its failure is the incorrect assessment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "555cba4b6a730004a350": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The last paw entry is visibly 24.", "correct": "Five cats have 5x4=20 paws, so replacing 24 with 20 is correct.", "right_place": "It identifies the actual terminal error, with earlier increments correct.", "right_amount": "It states the erroneous value and correction without an unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "3b451465c3da16915ae7": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The surrounding image makes the paw-count referent clear.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "24 is the visible last paw label.", "correct": "The correct five-cat paw count is 20.", "right_place": "It targets the actual wrong entry rather than inventing an earlier error.", "right_amount": "The concise correction clearly identifies the requested error." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "a58e108bbafba4766eb3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice. Do not infer labels solely from expected equal thirds; handwriting ambiguity remains.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "correct": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "right_place": "It supplies a list of number-line labels, the requested target.", "right_amount": "It lists four labels concisely with no unrelated mathematical solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "bd57c3cbff62d2e6e13a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; reference agreement alone does not resolve faint glyphs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible numerators 0,1,2,3 and the thirds labels support 0/3,1/3,2/3,3/3. Describing 0 as 0/3 preserves its meaning, and no conflicting label is evident.", "correct": "The visible numerators 0,1,2,3 and the thirds labels support 0/3,1/3,2/3,3/3. Describing 0 as 0/3 preserves its meaning, and no conflicting label is evident.", "right_place": "It answers the requested label-list question.", "right_amount": "It gives a complete four-label list without excess explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "da535e386a65af715dc1": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; do not silently replace faint writing with mathematically expected labels.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "correct": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "right_place": "It addresses which labels the student wrote.", "right_amount": "A four-value list is sufficient in form and within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "3948bc71c0c44afe80e6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The faintness merits close inspection, but E is present and above the axis.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The point labeled E is visible near (-3,2), above the horizontal axis.", "correct": "That position matches the requested (-3,2).", "right_place": "It correctly reports no supported error in the requested plotting task.", "right_amount": "The requested no-error answer is concise and sufficient." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "19a8b9af041f34557775": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "A point and E label are visibly present left of the y-axis above the x-axis.", "correct": "Calling the plot missing is an incorrect assessment of the submitted work.", "right_place": "It invents an omission instead of assessing the plotted E.", "right_amount": "The omission claim is complete in form; no separate scope defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "91a4e57f3a7cd02cd524": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference also mislocates E, but does not support calling it absent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "E is visibly plotted and labeled near (-3,2).", "correct": "The claim that E was not plotted is false.", "right_place": "It targets a nonexistent omission.", "right_amount": "It states a clear alleged error; the problem is its falsity rather than incompleteness." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "33efbe12837caba00546": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The triangles are visibly drawn by hand around a common Z.", "correct": "Freehand rotation around Z is a defensible description of the approach.", "right_place": "It describes the strategy rather than solving or grading the rotations.", "right_amount": "The short phrase conveys the requested strategy." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "6a4fe660af75684a6af3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The student draws multiple triangles sharing Z.", "correct": "Drawing rotated images around Z is a valid description of the displayed method.", "right_place": "It answers the strategy question directly.", "right_amount": "It gives a clear concise strategy without unrequested corrections." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "5c976e9778e21b9a434a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It does not claim exact angular accuracy.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The repeated triangles are arranged around the shared Z.", "correct": "Rotation about Z correctly describes the represented operation.", "right_place": "It addresses the student strategy.", "right_amount": "The phrase is sufficient to identify the approach." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "60332f1c6c3c2ff17eee": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Chronology cannot be inferred from spatial placement alone; the dividend mismatch is a logical prerequisite for the intended check. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The bottom inscription reads like2×27, with no distinct equals sign; asserting the exact written2×2=7 invents a consequential relation.", "correct": "Although 2×2≠7 is an abstract truth, the response asserts it as an error in this student submission. No such written equation is established, so this is an unsupported mathematical assessment decision, not a correct diagnosis merely because the isolated arithmetic is true.", "right_place": "It isolates a later arithmetic symptom while missing the prior substitution of 29/20+9 for the 93 check.", "right_amount": "It clearly states an error without extra solution; the deficiency is target priority." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "74e21162361c4b571989": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The bottom false equation is an additional symptom; the response locates the prerequisite mismatch. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "29 and 20+9 are visible whereas the problem dividend is 93.", "correct": "Using 29 does not check the stated 93/7 division.", "right_place": "It identifies the originating mismatch in the check quantities.", "right_amount": "It gives a specific concise error without a full replacement check." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "70d43a28e2a3eb9831e9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A more explicit quotation would improve clarity, but both error types are identifiable. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The inscription shows separate numbers/decomposition and a multiplication-like string, but no supported equality to call a false equation. The response positively asserts that nonexistent written relation.", "correct": "The mismatch with checking 93÷7 is supported, but the compressed last inscription does not establish which equation is supposedly false. The additional mathematical diagnosis cannot be confirmed from that image.", "right_place": "It covers the originating quantity mismatch and the later false equation.", "right_amount": "The two concise defect descriptions are sufficient in the visible context." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "477a1ff72214a6da5cd4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A decimal point on the dividend is not clearly visible; this answer does not endorse every detail of the long division.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "3 is the leading dividend digit inside and 50 is outside the bracket; trailing zeros accompany 0.06.", "correct": "The placement is correct for 3 divided by 50; appended decimal zeros are standard.", "right_place": "It answers the requested inside/outside placement question.", "right_amount": "The direct yes and locations completely answer the question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "4542fb6d300b016253c4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference says 300, but the quotient 0.06 makes the 3.00 reading defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The numerator is inside the bracket and 50 is outside.", "correct": "Yes is defensible for placement of 3 and 50, interpreting the zeros as decimal extension.", "right_place": "It addresses the precise placement question.", "right_amount": "A yes/no question permits this concise answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "35d60f5d4708ca0a85da": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It does not certify the entire long-division notation; the dividend decimal is faint or absent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible layout places 3 with appended zeros inside and 50 outside.", "correct": "That is the correct numerator/divisor placement for 3/50.", "right_place": "It answers the placement question directly.", "right_amount": "The one-word response suffices for the requested yes/no judgment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "482d1df9e63792a39ac2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Use unverifiable for the assessment boundary, not because the unequal-looking widths are invisible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The parts have visibly unequal widths, especially the narrow leftmost part.", "correct": "The task explicitly asks an estimate drawing of fraction strips. Both strips show three intended sections; rejecting the partition solely for normal freehand differences in width imposes precision the task does not require.", "right_place": "It targets the equality required for thirds.", "right_amount": "It gives a direct judgment and specific reason without unrelated solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "7b5365926c3b622c9160": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Shading overlaps a divider; lead should inspect the lower-left internal boundary.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The bottom strip appears to have two internal boundaries and three regions, not two halves.", "correct": "Calling it halves miscounts the visible partitions.", "right_place": "The response bases its judgment on a two-part/halves partition absent from the three-section bottom strip. It does not assess the student’s actual partition under the requested thirds criterion.", "right_amount": "The yes/no verdict and reason are sufficient in form." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "c8305727661099228891": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The equality of the parts is a separate issue from their count.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "A further internal divider is visible near the left of the bottom strip, making three regions.", "correct": "The claim that the bottom has only two parts is unsupported by the visible boundaries.", "right_place": "The response bases its judgment on a two-part/halves partition absent from the three-section bottom strip. It does not assess the student’s actual partition under the requested thirds criterion.", "right_amount": "It supplies a direct verdict and reason; no independent omission." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "51a107f30eab2d0d31da": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It could say too low for greater precision, but the erroneous point is identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first point is visibly near y=16, below the required 28.", "correct": "The first point does not represent V(1.25)=28 accurately.", "right_place": "It identifies the actual first-point error with the other stated points approximately correct.", "right_amount": "The first-point location is sufficiently specific in this three-point graph." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "b79fb8added663eac5a9": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not override the plotted vertical position.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "correct": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "right_place": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "right_amount": "The no-error form is complete; the defect is the incorrect assessment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "7306aab5397205829b62": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The coordinates name the target point; they do not claim it is already plotted correctly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first point is below where 28 lies between 0 and 40.", "correct": "Calling the intended (1.25,28) point too low is correct.", "right_place": "It identifies the specific plotted point and error direction.", "right_amount": "It gives a clear concise diagnosis without constructing a new graph." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" }, "af79ae7a0a134774216e": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible decomposition is a triangular cut at the right, not three vertical strips.", "correct": "Three strips misdescribes the geometric pieces shown.", "right_place": "The work shows a cut-and-move triangular rearrangement, not three vertical strips. The response describes a different decomposition from the one the teacher asks about.", "right_amount": "The response is concise and complete in form; the issue is the wrong description." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "c34f6e1e1398e7721100": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "A triangle is visibly cut off by the right-side vertical segment.", "correct": "A triangular cut is the displayed decomposition used to rearrange the parallelogram.", "right_place": "It answers how the student decomposed the shape.", "right_amount": "Naming the triangular piece is enough; a full area solution is unnecessary." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "609bff5eb655aa984926": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The rectangle drawn above is not evidence of three-strip decomposition.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The right-hand triangle is bounded by the added vertical segment and slanted right side.", "correct": "This accurately identifies the cut-off piece.", "right_place": "It addresses the visible decomposition directly.", "right_amount": "It gives the piece and its location with no extraneous work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "f334c5203b71af057a23": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The rightmost slanted quadrilateral visibly has non-right angles.", "correct": "At least one quadrilateral has non-right angles.", "right_place": "It answers the existence question exactly.", "right_amount": "Yes is sufficient for this yes/no question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "78e24f9beae61dfea465": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not label every rough rectangle mathematically non-rectangular solely from freehand distortion.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "correct": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "right_place": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "right_amount": "The answer is concise and names a figure; no independent completeness issue." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "92caedd03ad676a05ed1": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No claim about the right angles of the internal triangles is needed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The rightmost quadrilateral is visibly oblique.", "correct": "Its acute and obtuse corners provide non-right angles.", "right_place": "It identifies a supported example answering the teacher question.", "right_amount": "The yes plus location is complete and concise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "5db8e9aa32ea805d1fd4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The product written beside the model is outside this specific teacher question.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Despite overlapping colors, the red shading over three of five columns is visible; calling the whole representation unclear overstates the limitation.", "correct": "The response makes no false numerical or algebraic claim: it reports difficulty interpreting the shading. Whether that caution fails to provide enough of the visible answer is covered by Q3/Q4, not automatically an additional false-mathematics finding.", "right_place": "It addresses the representation question, rather than solving the multiplication.", "right_amount": "It omits the supported answer that three columns are shaded and does not localize what remains unclear." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "221e8175402fd2203782": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Red strokes visibly cover the first three grid columns.", "correct": "Shading three of five equal columns represents 3/5.", "right_place": "It describes the requested fraction representation.", "right_amount": "It supplies both the count and identifying color with no unrelated correction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "3537ea413c0e8fbebef2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No full multiplication solution is added.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Three of the five grid columns are shaded in red.", "correct": "Three shaded columns out of five correctly describes the 3/5 model.", "right_place": "It addresses exactly how 3/5 was represented.", "right_amount": "It gives the sufficient representation description concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "4c274027d94c07196612": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final water glyph is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The final labels read 12 powder and 16 water.", "correct": "12:16=3:4, whereas 4:6=2:3.", "right_place": "It answers the ratio question and names the exception.", "right_amount": "The no, explicit pair and comparison fully answer the question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "e75cc1e06cd56e0271fe": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Last value is read as 16, not silently repaired to 18.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The last water label is visibly 16 on the adopted reading.", "correct": "16 is inconsistent with 12 powder at the 4:6 ratio.", "right_place": "It locates the only pair breaking the displayed pattern.", "right_amount": "The last-value locator is sufficient in this short ordered number line." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "c3aeb5af3c63d5685b03": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference conflicts with the visible last value on this reading.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The final aligned pair is 12 and 16.", "correct": "That pair fails the required 2:3 proportional relation.", "right_place": "It identifies the relevant final-pair exception.", "right_amount": "The concise no and location suffice for the teacher question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "ad507de51e2c0938d1cb": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The third row is 20 yellow and 24 red, a correct visible pair.", "correct": "24 is four times 6, matching 20 as four times 5.", "right_place": "It invents an error in the correct third row.", "right_amount": "The claim is concise and specific in form; its defect is its falsity." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "409979e15e4803dce113": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "All four visible pairs match the stated 5-to-6 relation.", "correct": "Doubling, quadrupling and halving both values preserve the ratio.", "right_place": "It correctly reports no error in the submitted table.", "right_amount": "The no-error answer fulfils the teacher request without added solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "4d7092f2efe87632f325": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The handwritten 24 should not be mistaken for an incorrect red value.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible table contains 5:6,10:12,20:24 and 2.5:3.", "correct": "Each pair is equivalent to 5:6.", "right_place": "It correctly assesses the actual table as error-free.", "right_amount": "The requested no-error statement is complete and concise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "99bc6ffdcdc555a48c7d": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The image triangle above the line keeps the original orientation rather than being mirrored.", "correct": "It fails the perpendicular-bisector condition for corresponding reflected vertices.", "right_place": "The no directly answers the reflection-correctness question.", "right_amount": "No explanation was required; the direct no is sufficient." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "585d05fa54aabfc8f332": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible triangle is moved across the line without the required reflected orientation.", "correct": "It is not a correct reflection across the drawn oblique line.", "right_place": "It judges exactly the requested transformed image.", "right_amount": "The direct negative judgment fully answers this yes/no task." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "d6f023f8d5a4adcb7d9f": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference endorsement is not adopted.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The two triangles have a translated-looking orientation inconsistent with the mirror line.", "correct": "Corresponding vertices are not equidistant along perpendiculars to the line.", "right_place": "It answers the requested correctness check.", "right_amount": "The concise no supplies the required answer without unnecessary construction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "64e93ef916ff01dd82bf": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The statement is understood as wrong numbers for this check, not false arithmetic.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The check visibly uses 7 and 2 rather than the divisor 4 and quotient 14.", "correct": "Those quantities do not verify 56/4.", "right_place": "It targets the wrong numbers in the actual highlighted check.", "right_amount": "The brief diagnosis identifies the relevant checking defect without adding a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "826747dade9b6698004b": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Giving the checking factors is within error-diagnosis scope, not an unrelated complete solution.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "7x2 is visibly written; 14 is its product.", "correct": "A proper multiplication check uses quotient 14 and divisor 4, so the comparison is valid.", "right_place": "It identifies the initial wrong-factor choice in the check.", "right_amount": "The explicit wrong and intended factors provide a useful concise diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "54811c042920de40cac2": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "1-1=0 is true; the response is read as criticizing subtraction in this checking procedure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The work uses 7x2 and the separate subtraction 1-1.", "correct": "Those factors and subtraction are unsuitable for the required divisor-times-quotient-plus-remainder check.", "right_place": "It addresses both relevant defects in the highlighted check.", "right_amount": "It covers the wrong factors and operation without extra solution steps." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "eed5896e7f27b063dc7a": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "correct": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "right_place": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "right_amount": "The quoted transformation pinpoints the error without unrelated calculation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "96e37efde0ef520f4d97": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The 17 beside the brace is a distance, and the -10 tick is not visibly swapped with a -17 coordinate label.", "correct": "There is no supported reversal of -17 and -10; the actual algebraic sign loss is different.", "right_place": "It invents a diagram error and misses the supported first invalid algebraic rewrite.", "right_amount": "The alleged error is stated concisely; its defect is unsupported content rather than scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "14b4439f416d152a76b6": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not rescue the false no-error judgment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "correct": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "right_place": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "right_amount": "The no-error answer is complete in form; no separate delivery defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "f24976064301f52f4378": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Omission is scored under completeness, not as invented writing.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "A-F and x,y,z are visible; capitalization is a harmless paraphrase here.", "correct": "Every label it reports exists, with no false mathematical claim.", "right_place": "It addresses the requested label inventory.", "right_amount": "It omits all three visible primed labels x-prime,y-prime,z-prime, so the inventory is materially incomplete." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "56ff3122fa81956f3173": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x-prime is a completeness defect; other listed labels are grounded.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "A-F,x,y,z,y-prime,z-prime are visible.", "correct": "The reported labels are accurate as far as they go.", "right_place": "It answers the label-list question.", "right_amount": "It omits the clearly visible x-prime beside the lower-left vertex." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "350bdc642e7929935fde": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The five-word preference does not justify omitting required labels.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "All listed unprimed, primed and A-F labels are visible on the graph.", "correct": "It accurately reports both original and reflected vertex labels.", "right_place": "It answers the requested label inventory.", "right_amount": "It includes the entire relevant visible set, with no unnecessary reflection solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "fd32bb56404cd33fd8b5": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "This is faithful reporting, not a claim that 126 feet is the solution. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "126.0 is visibly followed by yards, not feet.", "correct": "The response faithfully reports the written quantity and unit without endorsing it as the correct total feet.", "right_place": "It resolves the question premise by distinguishing the written yards from requested feet.", "right_amount": "The parenthetical unit clarification is enough to explain why this is not a stated feet total." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "9596dcf46524f4027543": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It should not be marked as invented writing: 4.5 ft is present. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "4.5 ft is the per-bow conversion of 1.5 yd, not the stated total for 84 bows. Attributing that local result to the quantity Jeanne must buy confuses the image’s roles.", "correct": "The teacher asks for the student’s total feet of ribbon to buy. Selecting a per-bow 4.5-ft calculation answers a different quantity; a correct local conversion does not make this total-answer attribution correct.", "right_place": "The teacher asks for the student’s total feet of ribbon to buy. Selecting a per-bow 4.5-ft calculation answers a different quantity; a correct local conversion does not make this total-answer attribution correct.", "right_amount": "The number and unit are a complete answer in form; the defect is selecting the wrong quantity." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "30a4e7e3fb7d06805838": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not fail merely because the student conversion would be mathematically wrong: the task asks what the student said. The uncertainty concerns attribution of feet/finality. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The student computes 126 yards and then 126÷3=42 as an attempted conversion, within a feet-target task whose original answer instructions omit units. Reading 42 as the attempted total is supported; the conversion itself need not be mathematically correct for this transcription question.", "correct": "42 is a faithful report of the attempted conversion result; the task asks what the student said, and the worksheet explicitly requests no units in the answer.", "right_place": "It addresses the requested total-quantity question using the plausible total computation.", "right_amount": "The direct number/unit answer is sufficient in form; no extra solution is supplied." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "cb877fbb9171d1898016": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The table visibly shows 9 cups red and 6 cups green.", "correct": "Those are three times the one-batch quantities 3 and 2.", "right_place": "It answers whether the representation shows the requested three-batch amounts.", "right_amount": "The direct yes is sufficient without a new diagram." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "8c3a8578a5e4266a5e8c": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The written values are 9 red cups and 6 green cups.", "correct": "The values correctly represent three batches.", "right_place": "It targets the requested quantity correctness.", "right_amount": "It gives a concise direct answer and appropriate qualification to the numbers." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "7eb439b0c01187417e92": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The original exercise says add to a diagram, but this teacher question asks whether the shown quantities are correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The table explicitly writes cups beside both values; if referring to cup icons, their absence does not prevent the amounts being shown.", "correct": "A labeled numerical representation can correctly show nine and six cups without drawing individual cups.", "right_place": "The drawn table explicitly labels 9 cups red and 6 cups green. Rejecting it because the student used numbers rather than cup icons substitutes an unnecessary representation requirement for the requested quantity check.", "right_amount": "The response states its objection clearly; the flaw is the unsupported requirement, not insufficient length." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "0a2e5abb2219a899dc09": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The fraction -2/1 is plainly written next to the line.", "correct": "-2/1 equals -2, so it represents the requested slope.", "right_place": "It answers how the student indicated the slope.", "right_amount": "The concise description names the relevant annotation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "a43e4231ca557a0478df": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible -2/1 fraction and arrow label the line.", "correct": "The fraction is a valid expression of slope -2.", "right_place": "It describes the student slope labeling, the exact target.", "right_amount": "It provides the necessary label without unrequested graph correction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "aafa1b083796819cfe23": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No claim is made that the rough graph has exact rise/run everywhere.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "-2/1 is visible beside the graph.", "correct": "That fraction denotes slope -2.", "right_place": "It identifies the requested method of showing slope.", "right_amount": "The short transcription sufficiently answers this question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "27f3921a69589d98b6cd": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "No equations are visible and all three lines cross the y-axis at the same point.", "correct": "A common intercept violates the requested different y-intercepts; equations are also required.", "right_place": "It identifies both actual requirement failures.", "right_amount": "Both concise defects are supplied without constructing replacement lines." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "284f290458d0742470e3": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The graph shows a common origin crossing and contains no equations.", "correct": "These are failures of the distinct-intercept and equation instructions.", "right_place": "It addresses the relevant graph and missing-equation defects.", "right_amount": "It covers both material errors concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "0a2bcb6ff762678aaa29": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No ordering between independent intercept and omission defects is fabricated.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The three lines share a visible intercept, with no accompanying equations.", "correct": "The task requires different intercepts and equations, so both criticisms are correct.", "right_place": "It targets the actual unmet requirements.", "right_amount": "The response is clear and complete for the error question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "ccb7f6ccdf32444adf89": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The column headings and boundaries, not an inferred intended 59, determine the visible movement.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "correct": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_place": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_amount": "The no-error answer is complete in form; its assessment is incorrect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" }, "ebfe4c26d86c96e5b7e4": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The lower decimal-like mark does not repair the chart-column mismatch.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The top 5 in ten-thousands is placed in hundreds below, and 9 similarly moves thousands to tens.", "correct": "That is a two-place shift; a divisor of 1,000 requires three.", "right_place": "It identifies the originating place-value operation error.", "right_amount": "The concise comparison specifies the error fully without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" }, "ad0b094f7ff4a1115e89": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference no-error judgment conflicts with the chart positions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "correct": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_place": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_amount": "The response is sufficient in form but substantively wrong." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, "history": [ { "action": "save-assessment", "responseId": "ae2ea266171341d0f27d", "time": "2026-10-28T19:23:12.661Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.661Z" } }, { "action": "save-assessment", "responseId": "0458f922575584bf080b", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "757963dd545e69ffcaa4", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the written fraction 7/10.", "correct": "0/1 is justified because 7/10 is not the required count 7.", "right_place": "Grades the requested union cardinality.", "right_amount": "Gives the mark and sufficient reason for withholding its only point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "9441d5f900f40f9f0d8f", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "edbb6298cbd17f56b808", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the visible n(7)=7n with appropriate wording.", "correct": "The stated value 7n does not earn the point for 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "8f8c99b3299a5e510d51", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recasts n(7)=7n as n(T)=7 with an unclear trailing mark despite the distinct final n.", "correct": "Knowing the union contains seven does not justify credit for the written 7n.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "acaf9eabb33dd582e640", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "bfbd2d4597e44e29ef69", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "0c1d8acbef36b6387f1f", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies (t-4)^2 and the incorrect sign/product.", "correct": "Awards the explicit sight-of-square M1 and withholds A1 correctly.", "right_place": "Assesses the requested completed-square parameters.", "right_amount": "Explains both method credit and withheld accuracy without replacing the solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "eea47c8a00b3e617138e", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the final line as 5 degrees.", "correct": "Three working marks are supported; the final-answer point is not.", "right_place": "Addresses all scheme points for the angle difference.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "4e3531c4496a2c05b28e", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "Addresses all scheme points for the angle difference.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "8b6a6e9d8877a0d5635d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims the final subtraction reads 105; the image reads 5.", "correct": "4/4 incorrectly includes the final-answer mark for written 5 degrees.", "right_place": "Addresses all scheme points for the angle difference.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "669d3ffd826a6034cfd3", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two; ambiguity is credit policy, not a licence to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says the required values are clearly identified without acknowledging the materially wrong final exponent 4.", "correct": "The scheme does not resolve whether implicit parameters in 56-(t-4)^4 earn A1.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two; ambiguity is credit policy, not a licence to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "A1 for implicit parameters in a wrong-power expression is not explicitly settled by the supplied scheme.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "554d512783969ce037f3", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two; ambiguity is credit policy, not a licence to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "Withholding A1 is plausible, but the scheme does not settle whether the identifiable implicit parameters suffice.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "bd55f0ca41a78bb6cfe3", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "031401142c6c08ca3d60", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "9e62b0fcf4d5e3e645dc", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes both the intermediate 7 and final fraction 7/10.", "correct": "Withholding the single answer point is defensible because the explicit final value contradicts the correct count.", "right_place": "Assesses the final union cardinality while considering the working.", "right_amount": "Explains why the intermediate count does not receive a separate method point." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3b8ec1b05a245e9ac431", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads 120%,140% and boxed 5/7.", "correct": "1/3 correctly rewards the first increase only; additive 140 is not compounding.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "0ded5c3f8011a1a2b0e2", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents 144 and boxed 5/12; image shows 140 and 5/7.", "correct": "Awards the second process mark for compounding that the student did not perform.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "a8686e413c0f2b92a02f", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads 120%,140% and boxed 5/7.", "correct": "1/3 correctly rewards the first increase only; additive 140 is not compounding.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ee4bd774f8282dfe4535", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not assume generic method follow-through or an unstated dependency; this case-specific scheme leaves the second mark ambiguous.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "e50bf60f89dea77590b4", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not assume generic method follow-through or an unstated dependency; this case-specific scheme leaves the second mark ambiguous.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "756546d8a7737019b8b0", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not assume generic method follow-through or an unstated dependency; this case-specific scheme leaves the second mark ambiguous.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "7c85a21defb8ed325a56", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "The final A1 is earned; no visible method or subsequent calculation implies the other points.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "44b28141cf126b3900e3", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "5/5 assumes a correct answer automatically earns all method marks; the scheme authorizes no such blanket implication.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "962f78a209bbbf2daf68", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "The final A1 is earned; no visible method or subsequent calculation implies the other points.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "5357e5717ee93f130885", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "41288332abeded8e3a5a", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "d9902310d82c4e33f756", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the combined 40kg and calculation 100/40 correctly.", "correct": "Neither ingredient process is valid and A1 explicitly requires correct supporting calculations or justification.", "right_place": "Addresses the actual mortar assessment and its supporting-method requirement.", "right_amount": "States mark and explains both process and accuracy withholding." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3663065d9312ec87f422", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The correct radius earns A1; no scheme-permitted implication establishes three method steps.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "d46e9b37eaa409e1c939", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The correct radius earns A1; no scheme-permitted implication establishes three method steps.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "146eb524ba8c3c8b02f3", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "Automatically awards three unseen method marks; the scheme does not authorize answer-only full credit.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "51a9470884100c38a89c", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency; 100/144 and25/36 are legible. Do not silently turn the increment into24.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "Withholds first P1 solely for absence of an explicit multiplier although the equivalent starting value120 evidences a20% increase.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "86900098d2cfeb3c2b70", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency; 100/144 and25/36 are legible. Do not silently turn the increment into24.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "3/3 depends on whether the ambiguous increment denotes a20% increase of120 or invalid addition of0.20; subsequent numbers alone do not settle valid process.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "5774c34bccc56757acfd", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency; 100/144 and25/36 are legible. Do not silently turn the increment into24.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "An explicit1.2 or6/5 is not required: the supported starting-value120 can earn first P1.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "efc1691dd21b006f1c93", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A power3^(3/2) and3sqrt3 are mathematically equivalent; paraphrase preserving that value is allowed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), which is not written; lower work is in powers of3.", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "fe262e33eab11b2eba7d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A power3^(3/2) and3sqrt3 are mathematically equivalent; paraphrase preserving that value is allowed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies a correct reciprocal-power form and absent rationalization.", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3f3aae12b56c50d35d0e", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A power3^(3/2) and3sqrt3 are mathematically equivalent; paraphrase preserving that value is allowed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies a correct reciprocal-power form and absent rationalization.", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3e5b002cd960534fdaeb", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The next line also appears to omit x after4 on the right; later4x clarifies its intended equation. No creditworthy quadratic set to zero is present.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "0 versus1 rests on whether the visibly omitted5 is accepted as implied by adjacent x²-5; supplied scheme does not settle this incomplete substitution.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "2804f09c258dd6b45105", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The next line also appears to omit x after4 on the right; later4x clarifies its intended equation. No creditworthy quadratic set to zero is present.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "0 versus1 rests on whether the visibly omitted5 is accepted as implied by adjacent x²-5; supplied scheme does not settle this incomplete substitution.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "7ce64ad797ee6e201f60", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The next line also appears to omit x after4 on the right; later4x clarifies its intended equation. No creditworthy quadratic set to zero is present.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "0 versus1 rests on whether the visibly omitted5 is accepted as implied by adjacent x²-5; supplied scheme does not settle this incomplete substitution.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ea850d92bdd9afe57409", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims c=-20 is correctly substituted; formula visibly ends in×20, not×(-20).", "correct": "5/5 and no-errors claim endorse the incorrect signed substitution.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "58758ed02a6154e2ae9a", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently supplies the missing negative sign for20 under the radical.", "correct": "Full credit includes an incorrect quadratic-formula substitution.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "53a72510f907aaffd891", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies the final factor20 in the formula as lacking its negative sign.", "correct": "Four points are supported; the substitution with positive20 is not correct.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ec6c74ad3c6044908c54", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Rewrites r(2+2πr/3) and120/(6+2πr) as expressions without the extra r.", "correct": "Calls the written factorization/isolation correct when it improperly retains r; the final mark alone cannot rescue that explanation.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "b629be547361ddbd607c", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the extra r and later valid numeric isolation.", "correct": "The correct arc, perimeter and recovered isolation support method marks, with9.77 earning accuracy.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "98379f2ba9ac9e9c3aac", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently removes r from the bracket and denominator when quoting the intermediate equations.", "correct": "Endorses the erroneous symbolic factorization despite later correct numerical recovery.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "c52632d69df37df44834", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "Awards slant and cosine method points for invalid operations; unsquared10sqrt2 is not correct substitution.", "right_place": "Grades relevant pyramid methods and absent final angle.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "032f10169103013a7525", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Changes the written subtraction into addition and describes a225+50 arithmetic slip.", "correct": "Awards the slant-edge method point although the hypotenuse is calculated by subtraction.", "right_place": "Grades relevant pyramid methods and absent final angle.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "3d42654504a0649b4550", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads subtraction for the slant calculation and unsquared cosine left side.", "correct": "Only diagonal credit is earned; subtracting for the hypotenuse and unsquared cosine substitution are invalid.", "right_place": "Grades relevant pyramid methods and absent final angle.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "323f23840c26b65c3121", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "Assumes full marks from a correct final angle, without scheme authorization for three unseen methods and slant length.", "right_place": "Assesses the actual answer-only submission.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "35cfe9703281ad178717", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "The independent final A1 is supported; other method/length points are not evidenced.", "right_place": "Assesses the actual answer-only submission.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ecac601f45bf9209653a", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "Invents a dependency of final A1 on cosine M1, whereas the supplied scheme states no such dependency.", "right_place": "Assesses the actual answer-only submission.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "8503a91f561535ce1918", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the visible.55,.45 and lack of a defensible required product.", "correct": "No correct product and no.76 are shown, supporting0/2.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "a6ad4c132698598709bd", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims a legible.80×.95 setup although the left column is overwritten subtraction, with no visible multiplication.", "correct": "Awards a product-method mark for an unsupported product.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "29323ee5fb6062466761", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the visible.55,.45 and lack of a defensible required product.", "correct": "No correct product and no.76 are shown, supporting0/2.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "98a73e5b5bd6282d705d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The diagram uses10 as the triangular base, so5 is their half-diagonal; this differs from a wrong operation such as MED-17 subtraction.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Rejects slant follow-through and the equivalent doubled-arctangent method merely because the diagonal is wrong and cosine rule absent.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "56b22098e964ff6e2290", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The diagram uses10 as the triangular base, so5 is their half-diagonal; this differs from a wrong operation such as MED-17 subtraction.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Their-value follow-through permits the slant method, and doubled arctangent is a valid equivalent angle method for that triangle.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "bf006ffcebafe7f2c682", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The diagram uses10 as the triangular base, so5 is their half-diagonal; this differs from a wrong operation such as MED-17 subtraction.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Withholds all method credit despite explicit their-value slant allowance and a valid equivalent angle method.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "56b7df425fbabe69b1ea", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the missing decimal and reads25kg with75kg.", "correct": "A proportional recipe step can earn process credit; no secure2.5 final answer or both-length process is shown.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "d953be679aa308975b4c", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "States2.5m as written although the visible final is25m without a decimal.", "correct": "Awards accuracy on an unsupported decimal reading and withholds all process credit despite its own claim of valid supporting scaling.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "addb36ae07dc8332612d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently inserts decimals and a within100 comparison that are not clearly written.", "correct": "Full credit depends on a repaired2.5 answer and an unstated complete both-ingredient process.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "df893b046ed539b02b25", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Method credit is supported by explicit correct420 and12 before the transcription slip, unlike MED-08 where the initial angle sum is conceptually wrong.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "Withholds the setup method despite correct remaining sum420 and total12 already shown; later240 copying slip does not negate the supported process.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "affd7e7bd97ad1c718df", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Method credit is supported by explicit correct420 and12 before the transcription slip, unlike MED-08 where the initial angle sum is conceptually wrong.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "8d16fde24969fb9bec5e", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Method credit is supported by explicit correct420 and12 before the transcription slip, unlike MED-08 where the initial angle sum is conceptually wrong.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "5b557ce98a8f244c6239", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer point is earned; the case scheme does not authorize automatic implied product credit.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "4d04f0e05ed7b5e66535", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "Awards an implied method point without a scheme clause authorizing it or visible product calculation.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "a5332f3a2e75ddc17340", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer point is earned; the case scheme does not authorize automatic implied product credit.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "5ee7953b4cfed1f9492d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the visibly written intermediate radicand2 to3.", "correct": "Awards a complete rationalization process on a repaired denominator; the written transformation from sqrt2 is invalid.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "7f277228dc6f5395b56f", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "A correct final result cannot establish the required complete rationalization when the written preceding denominator has sqrt2.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "af2d9742d13d4596ce7d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "First-step and final-answer points are supported; no valid rationalization from the written sqrt2 denominator is demonstrated.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "70bbc52b64769f419b2d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "e2a308eb7784eda8b331", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "4f7dd341918c3fc6feed", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads7 people and the seven union members.", "correct": "The submitted count7 meets the sole mark criterion.", "right_place": "Addresses union cardinality rather than a probability or intersection.", "right_amount": "Gives the mark and sufficient correct-answer justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "51587631b0cd61bb1d8b", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category boundaries are not uniquely determined by the fragment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly distinguishes visible valid comparisons from supplied C;A.", "correct": "Choosing C contradicts 4/11<5/11; logical inconsistency is a defensible category without claiming a hidden cause.", "right_place": "Targets the first supported mismatch in the submitted answer.", "right_amount": "Supplies category, specific mismatch and evidence limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "e968694630cbc39e8daa", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents a finishing sequence and labels a valid comparison an originating error despite no written ordering.", "correct": "Comparing 5/11 and 4/13 is valid; incomplete comparisons do not establish the alleged procedural error.", "right_place": "Replaces the supported inconsistent C choice with an invented earlier error.", "right_amount": "Supplies category, specific mismatch and evidence limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "fe24c57968c44625fbaa", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Duplicated output fields.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "Claims the missing bridge caused C and reveals a misconception; neither causal path is visible.", "correct": "A valid but incomplete comparison is not an invalid step; the asserted misconception and causal path to selecting C are unsupported.", "right_place": "Diagnoses an invented bridge error instead of the supported inconsistent answer.", "right_amount": "Repeats essentially the complete category and explanation twice, materially defeating the concise two-field request." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ef6368fd87273d75ff7d", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "Gives category, location and a sufficient concise causal explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "496e5b7cbba89d246b0b", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "Gives category, location and a sufficient concise causal explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ccf2bbbe41a982d658f0", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The long-division detail is rough; the stated numerical dependency is sound.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "Gives category, location and a sufficient concise causal explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "d506be0080c6ed94626e", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference also overlooks the earlier omission.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently repairs the rearranged63+60 to−63+60 and declares earlier work correct.", "correct": "The claim that all earlier steps are correct is false: the rearranged right side is63+60.", "right_place": "Discusses later division while missing the preceding sign omission.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "375fb451fd8a1e76bb3b", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest error diagnosis itself is supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Although it reads63+60 correctly, it invents a subsequent−6x=3; image shows−6x=−3.", "correct": "63+60 is123, not+3; describing the later steps as merely carrying this error forward is mathematically false.", "right_place": "Targets the earliest visible invalid rearrangement.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "4d1983b6a7461f0dc219", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Does not explicitly flag reference conflict; its diagnosis nevertheless clearly supplies the earlier error.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the earliest rearrangement omission of minus before63.", "correct": "A stationary−63 must retain its sign; procedural sign handling is a defensible diagnosis.", "right_place": "Targets the earliest visible invalid rearrangement.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "8a5010ebe2c4b8093bd9", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Asserts the ambiguous fragment demonstrates addition and a knowledge gap, which is not visible.", "correct": "Invents a requirement to reduce fractions; the task has no simplest-form condition and both submitted answers are equivalent.", "right_place": "Calls unsimplified correct values the originating mathematical error.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "035cccea1ada183a9465", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Calculation Error is a provisional fit for a conditionally false equality; its cause remains unknown.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Localizes ambiguity in8/28=13/24 instead of silently replacing the relation.", "correct": "The conditional equality is false, and the supplied final fractions are mathematically equivalent to the reference.", "right_place": "Targets the visible fragment and explains that chronology cannot be established.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "ca88938353ed376f94aa", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The response appropriately notes equivalent final fractions; category cause is overconfident.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges an ambiguous denominator yet then asserts a wrong denominator and that the final sums prove addition was carried out.", "correct": "The mathematical mismatch is sound, but the asserted careless transcription cause versus conceptual/arithmetic cause cannot be established.", "right_place": "Targets the visible fragment and explains that chronology cannot be established.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "714b92e106ce2c91df05", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads11 as12 and22 as24, then infers an unwritten9×9 operation.", "correct": "Declares the visibly wrong perimeter computation valid and assigns an unsupported conceptual cause.", "right_place": "Skips the visible earliest addition error in favor of a hidden area step.", "right_amount": "Supplies category, correction and limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "e46eb3ca9b16295aba48", "time": "2026-10-28T19:23:12.662Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads11 subtotal and22 perimeter faithfully.", "correct": "9+3=12, not11; Calculation Error fits the visible invalid addition.", "right_place": "Identifies addition before doubling and does not invent how81 arose.", "right_amount": "Supplies category, correction and limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.662Z" } }, { "action": "save-assessment", "responseId": "5bbebcbee767646d1a39", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes visible22 to24 and declares the perimeter line correct.", "correct": "The claimed correct computation contradicts9+3=11 and the written22.", "right_place": "Misses the supported addition error and diagnoses a missing later procedure.", "right_amount": "Supplies category, correction and limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "d54536086286189ec02c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is defensible for use of an insufficient bound as the full condition; the inequality alone is a true necessary condition.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "The weak bound allows39 people and5 final boxes; stricter condition needsx>39, while other bound givesx≤43.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "Provides category and specific mathematical explanation within diagnosis scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "fdb5772a8c7340d52e64", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual modeling category is defensible without inferring persistent beliefs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "The weak bound allows39 people and5 final boxes; stricter condition needsx>39, while other bound givesx≤43.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "Provides category and specific mathematical explanation within diagnosis scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "489f546f138ba8f2c237", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logical reasoning category appropriately distinguishes necessary from sufficient conditions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "The weak bound allows39 people and5 final boxes; stricter condition needsx>39, while other bound givesx≤43.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "Provides category and specific mathematical explanation within diagnosis scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "634f8a74f44a65024ca1", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Left-right chronology is not independently established, but both multiplication setups instantiate the same supported issue.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Grounds the diagnosis in visible×1.2 and×0.8 and the given selling price240.", "correct": "Cost is selling price divided by1.2 or0.8; conceptual percentage-base diagnosis is sound.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "Supplies category, location and enough explanation without a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "34f9d5c5fa8497c98855", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats all inconsistent decimal entries as downstream consequences of the percentage-base error, a causal sequence not shown.", "correct": "Changing the percentage base does not mathematically explain the independent factors-of-ten inconsistencies.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "Supplies category, location and enough explanation without a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "620321fd144c3a431b70", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently rationalizes the incompatible2.4,24,240 entries as scaled forms and asserts they all follow from the percentage error.", "correct": "2.4×0.8 is1.92, not19.2; off-scale entries are not valid downstream consequences of multiplication instead of division.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "Supplies category, location and enough explanation without a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "dc080ef86b6c49b964e3", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Describes lower written multiplication as125×5 although the multiplier visibly reads125.", "correct": "Calling the subsequent written multiplication arithmetically correct silently repairs125×125=625.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "Provides category, location and concise explanation without completing the whole problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "eaf6716c7e76cc9ea682", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Careful wording says625 is consistent with five segments rather than claiming125×5 is written.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads six marks and the5 segment count without silently repairing lower work.", "correct": "Six cuts yield seven pieces;625 is consistent with125×5, and conceptual count category is defensible.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "Provides category, location and concise explanation without completing the whole problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "ab807e7acb5f2cd5ad29", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest count error is nevertheless correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Calls factor5 unambiguous and reports written125×5; lower row actually includes125.", "correct": "Endorses the visible multiplication as correct after replacing its written multiplier.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "Provides category, location and concise explanation without completing the whole problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "c7b6b44b7982dc87ccee", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is a plausible provisional category; exact cognitive cause is not observed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "28−2×5=18; wrong base sum explains48 with otherwise valid area arithmetic.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "241f4b4c98d1f2e26d77", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It labels the sub-step inferred, yet overstates what that inference demonstrates.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Infers subtraction of height and calls it evidence of misunderstanding despite no subtraction being visible.", "correct": "The required base sum and arithmetic are correct, but the asserted conceptual cause of24 cannot be verified.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "1515b9b403432def575c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Procedural omission/incorrect preliminary value is defensible; it does not require a unique hidden arithmetic cause.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "28−2×5=18; wrong base sum explains48 with otherwise valid area arithmetic.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "8b84357dc86dcef66b0c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "Gives category, location and explanation with only relevant corrected angle." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "9fbefbb140c106b765d2", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "Gives category, location and explanation with only relevant corrected angle." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "2d4363e1c2faffb48be6", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "Gives category, location and explanation with only relevant corrected angle." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "e9d9c8b45fa3eddf7d4d", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently replaces the final m² chain with m and infers an omitted second-case reasoning failure from an incomplete fragment.", "correct": "Missing shown derivation of a correct supplied second answer is not an established mathematical error; the final chain is not internally correct.", "right_place": "Misses the visible square/root equality and diagnoses missing work instead.", "right_amount": "Provides category, precise error and the important reference conflict concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "da512cb376b8f6669e26", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the final chained equality with m² retained.", "correct": "27/50 is not its square root; changing to m is required. Procedural Error fits this operation.", "right_place": "Locates the actual invalid transformation after correct algebra.", "right_amount": "Provides category, precise error and the important reference conflict concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "645a9f85e6a3322af3ef", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Rewrites final m²=27/50=±root as m=±root and calls all transformations valid.", "correct": "An equivalent unreduced radical is not a Calculation Error; no required simplest radical form is stated.", "right_place": "Diagnoses unrequired simplification and misses the actual chained equality error.", "right_amount": "Provides category, precise error and the important reference conflict concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "57b8089051ec0646f9f7", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "Supplies category, precise missing symbol and its meaning without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "990e5226e02137bcf522", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Numeric value was obtained” is imprecise, but the response immediately explains the represented decimal differs from the required percentage.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "Supplies category, precise missing symbol and its meaning without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "b5693ebc2eb773ce255c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category describes notation knowledge application, without explicitly asserting a persistent misconception.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "Supplies category, precise missing symbol and its meaning without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "6d3bc219236acda19a0d", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Derived” overstates the visible recalled formula, but does not alter the supported diagnosis. Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line writes b²4ac=b²−4ac without a minus in its left expression; declaring the scratchwork free of earlier error overlooks this visible mismatch.", "correct": "The typed second root does omit a minus, but the response also endorses or declares error-free the upper equality b²4ac=b²−4ac, which is not generally true.", "right_place": "It confines the error to the typed second root while missing the upper written discriminant equality; the visible formula below does contain its minus.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "7c762708b400c8a8bedb", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims the visible formula lacks a minus even though a short minus is present between b² and4ac.", "correct": "The alleged incorrect visible formula is actually correctly written; careless omission at that location is unsupported.", "right_place": "Moves the error into an earlier correct formula instead of the supplied typed second root.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "017b506707cd960491d9", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line writes b²4ac=b²−4ac without a minus in its left expression; declaring the scratchwork free of earlier error overlooks this visible mismatch.", "correct": "The typed second root does omit a minus, but the response also endorses or declares error-free the upper equality b²4ac=b²−4ac, which is not generally true.", "right_place": "It confines the error to the typed second root while missing the upper written discriminant equality; the visible formula below does contain its minus.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "772caffb5927d92d8ea0", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Source conflict prevents a definite cross-source chronology.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Explicitly separates recorded−16 from uncertainty in visible first and last terms.", "correct": "Dropped decimal in the supplied answer is a valid transcription mismatch, and its mathematical explanation is correct.", "right_place": "The image instead supports missing final minus; choosing the recorded first-term error as earliest is not resolved by the conflicting sources.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "06b69bd82e937db4ba41", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Insists the image reads−16 despite a decimal point between1 and6, and treats final term as correct despite missing inner minus.", "correct": "Claim that remaining conversion is intact contradicts visible+(3.1).", "right_place": "Misses the visible final-term sign error by forcing the typed-answer reading.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "84c593d955c2835e44f0", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the visible+(3.1) and the source conflict on−1.6 versus−16.", "correct": "Subtracting3.1 must become adding−3.1; a procedural sign diagnosis is defensible.", "right_place": "Targets the visible unsupported sign change and flags conflicting recorded answer.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "7c2c98a9007f6edb8904", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It says final step is unwritten; proposed termwise sign slip is a direct comparison of answers.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "Supplies category, exact mismatch and enough explanation without full replacement working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "b484cb6b941f232ea778", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core sign mismatch is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Rules out transcription and asserts misunderstanding despite the final producing step being absent.", "correct": "Correct additive-inverse mathematics, but the exclusive conceptual cause cannot be established from this final answer alone.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "Supplies category, exact mismatch and enough explanation without full replacement working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "c138ea32d4601e029de7", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "Supplies category, exact mismatch and enough explanation without full replacement working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "34434a2a7711d6792064", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the expansion with+12 rather than−12.", "correct": "−6×2=−12; distribution/procedural diagnosis is supported.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "Supplies category, precise error and cause clearly within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "9eb8be9a7a71bdc3abf4", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says later−x=−27 and all later work consistent, while the visible line appears−x=27.", "correct": "Endorsing all later lines as consistent silently repairs the missing negative on27; the exclusive isolated-slip diagnosis is also stronger than evidence.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "Supplies category, precise error and cause clearly within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "fe87dfbf4017c4ad3d49", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts all later lines follow consistently, overlooking visible−x=27 beforex=27.", "correct": "The claim that all later lines follow consistently is false if the visible27 has no minus; correct distribution elsewhere does not prove attention rather than procedure.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "Supplies category, precise error and cause clearly within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "33dcc0d4a18d17d9b951", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Required category is explicitly non-substantiated; this respects the seven-choice constraint while explaining evidence.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "5/70=1/14, so no mathematical error is supported; mandatory category can be accompanied by explicit limitation.", "right_place": "Addresses the unsupported error premise rather than fabricating faulty algebra.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "aecb71b2bf800905fcce", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "Labels omission of reduction a Calculation Error despite no simplest-form requirement and identical interval.", "right_place": "Invents an originating mathematical error in a valid final bound.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "17aa8b13521b4a36474c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The explanation calls simplification a deviation from expected form rather than denying mathematical equivalence. The category is weakly supported, but the substantive source-conflict diagnosis is defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "5/70=1/14, so no mathematical error is supported; mandatory category can be accompanied by explicit limitation.", "right_place": "Addresses the unsupported error premise rather than fabricating faulty algebra.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "3ad55aeb3477f0bcc144", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Decimal ambiguity acknowledged; its statement of half-distance in kilometers is supported by the supplied answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "Gives category, unit conversion and enough causal explanation without extraneous solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "c1c60d201eb0cc89fe26", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "Gives category, unit conversion and enough causal explanation without extraneous solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "b2f01760a6b755167c96", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Failing to register” is an interpretation of the unit mismatch, not evidence of a persistent learner belief.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "Gives category, unit conversion and enough causal explanation without extraneous solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "9316348b5f60bc92775e", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the first plus sign as minus and asserts an initial miscopy.", "correct": "The initial expression is correct; its transcription-error claim at that line is false.", "right_place": "Locates error in the wrong line instead of the change during simplification.", "right_amount": "Supplies category, location and precise reason without unnecessary solving." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "721f1a4e287415b1ac89", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "Supplies category, location and precise reason without unnecessary solving." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "119deaf549c52655fc90", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "Supplies category, location and precise reason without unnecessary solving." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "493ef436e749126bc70d", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls first rewrite correct while omitting its exterior s²t factor.", "correct": "First expression is not equivalent to the quotient because of the extra outside factor.", "right_place": "Selects later25→75 while missing the earlier exterior-factor mismatch.", "right_amount": "Supplies category, precise mismatch and relevant limitation without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "6af0fd737adcb076c67e", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies first exterior s²t and later prefactor, with final-answer limitation.", "correct": "Original s² cancels andt³/t=t²; exterior s²t is unjustified and first equality invalid.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "Supplies category, precise mismatch and relevant limitation without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "35c273b10a4d0837009d", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Its diagnosis of the unjustified s² factor and correct reciprocal mathematics are nevertheless valid. Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misplaces2/5·t outside the first radical in its quoted rewrite; the bar spans that factor. It also posits a specific extraction chronology beyond what is shown.", "correct": "The square-root and reciprocal rules it states are valid, but claiming the later expressions are consequences of the first rewrite is false: the exterior s²t disappears in the next equality and the later denominator changes25 to75.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "Supplies category, precise mismatch and relevant limitation without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "cec6c8e9530374f7293e", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents an originating omission in the valid47+55 subtotal and asserts later104 is its consequence.", "correct": "A correct intermediate addition is not an invalid procedural step; omitted−2 alone would yield102, not104.", "right_place": "Selects a valid subtotal as earliest error instead of the unsupported104 factor.", "right_amount": "Provides category, concrete factor mismatch and uncertainty without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "4567730c3df79820c61c", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "Provides category, concrete factor mismatch and uncertainty without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "34422dfdc7a7c120c7be", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Acknowledges exact addition of2 is not shown; sign/term slip is an appropriately bounded interpretation of104.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "Provides category, concrete factor mismatch and uncertainty without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "0afe3a0f16c44c87cef6", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "Supplies category, exact mismatch and enough explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "54500dafbc902c1f0a7b", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual category is reasonable for interpreting the remainder, although the cognitive cause is not uniquely established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "Supplies category, exact mismatch and enough explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "f48a75cdbe03a0b3ffa2", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Final-answer mismatch is correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts the student read the task as how many blankets can be fully filled, a hidden interpretation not visible.", "correct": "The capacity reasoning is correct, but the asserted particular misunderstanding versus a missed adjustment cannot be verified.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "Supplies category, exact mismatch and enough explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "89f12db7305980680c0d", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No decimal point is clear in quotient16, but decimal continuation makes1.6 plausible; lower168 is the more definite invalid computation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Grounds diagnosis in the lower product resembling168 and qualifies the reading.", "correct": "33×6=198, not168; Calculation Error is the supported category for that product.", "right_place": "Targets the earlier visible product before final rounding.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "7e95de29a00a91919c60", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims no computational breakdown despite visible lower product168 instead of198.", "correct": "The claim that division is computationally sound is false for the written33×6 product.", "right_place": "Skips earlier multiplication mismatch and calls final rounding earliest.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "52d7825482c4843bfeab", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The wrong-precision observation itself is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Dismisses lower writing as too faint while claiming rounding is first;168 is materially readable.", "correct": "Rounding1.666…to1.7 uses tenths rather than required hundredths; detail diagnosis of that later error is mathematically defensible.", "right_place": "Identifies only later precision error and misses earlier33×6 product mismatch.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "8c0f9e2c02e5839f1f52", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Assumes the separate top-right condition is an unconditional replacement and assumes its coefficient left nonzero.", "correct": "Under infinitely many solutions the right side must be0; writing(6m+7)x=0 is compatible, not intrinsically invalid.", "right_place": "Labels a compatible intermediate condition earliest error rather than the unsupported submittedvalues.", "right_amount": "Provides category, concrete contradiction and evidence limitation without full parameter solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "67db2efe41982fff16ce", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims finalm=n=0 follows from the separate equation despite no derivation and no evidence of that causal sequence.", "correct": "The zero-right-side statement is a valid necessary condition for infinitely many solutions, although incomplete alone.", "right_place": "Manufactures an earlier erroneous transformation instead of localizing the demonstrably wrong final values.", "right_amount": "Provides category, concrete contradiction and evidence limitation without full parameter solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "ffa6cf4be194ec030b18", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Distinguishes valid rearrangement, separate compatible condition and unshown submitted-values derivation.", "correct": "Withm=n=0,7x=0 has one solution; identity needs coefficient and constant zero.", "right_place": "Targets supported final-values error and acknowledges earliest transformation cannot be located.", "right_amount": "Provides category, concrete contradiction and evidence limitation without full parameter solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "c724e12ab78cab9049b6", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Says no division by2, ignoring top-right3÷2 with quotient1.", "correct": "Claim the student never uses capacity and simply solves total tonnage is contradicted by visible division.", "right_place": "Diagnoses an invented omitted operation rather than unshown transition to final3.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "1921c6e93aa721a382a0", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims capacity never used and no division performed despite visible3÷2.", "correct": "The alleged omitted capacity step is present, so its procedural-cause claim is unsupported.", "right_place": "Targets a nonexistent omission instead of supported wrong minimum conclusion.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "d3ca1bc629932b13c628", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads total, conversion and begun3÷2 with quotient1.", "correct": "Two trips carry3 tons at2 tons per trip;3 trips is not minimum.", "right_place": "Targets final minimum conclusion and acknowledges its derivation absent.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "f39afd41cdbfb2fd7f3b", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "459ef8c2386cd4b299ac", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "5c9e23e484c6033b5b09", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at substitution. Transforming the equation to quadratic form is accepted as one coherent next algebraic operation; no rigid literal-reference boundary imposed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately identifies the declared substitution and both occurrences of2^x.", "correct": "Substitution and any stated clearing of denominators produce equivalent equations; a>0.", "right_place": "Continues the supported exponential substitution.", "right_amount": "Provides rationale, prescription and execution; stops before solving the quadratic/back-substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "d42b10e9a958495f26fe", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the generic a^(m-n),a^m/a^n note as a separate base9 expression.", "correct": "Says same-base exponent rules cannot be used, although the quotient rewrite applies directly.", "right_place": "Rejects the visible valid quotient-rule approach as unrelated on the basis of a misread.", "right_amount": "All three sections execute a bounded transformation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "e4ddafc8ccb48843a9b5", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "Invents a stack of powers of9; the note is the generic exponent quotient rule.", "correct": "4^(x-2)=4^x/16 is valid.", "right_place": "Discards the relevant quotient-rule approach as a different-variable scratch note.", "right_amount": "Gives the fully isolated x=2+log60/log4 while describing isolation as an unperformed subsequent step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "6aec3dc8740edd7a945f", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly recognizes the exponent quotient rule written beside the equation.", "correct": "4^(x-2)=4^x/16 is valid.", "right_place": "Preserves the exponent-rule approach visible on the right.", "right_amount": "All three sections execute a bounded transformation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "ce14f075001e360653ab", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "Calls cubing circular and claims denesting must use a difference of square roots; cubing is a valid productive equation transformation.", "right_place": "Rejects the valid immediate cubing continuation and replaces it with a full coefficient-matching solution.", "right_amount": "Solves p,q, denests completely to(sqrt5-1)/2 and verifies the full answer, well beyond one next operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "eab2e8b658fd70f0bab3", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "Cubing gives x³=sqrt5-2; rearranging to sqrt5=x³+2 is equivalent.", "right_place": "Uses the existing substitution without an invented prerequisite error.", "right_amount": "Provides all three functions and stops after activating the substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "0b8d94bb6077de5272fe", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "Cubing gives x³=sqrt5-2; rearranging to sqrt5=x³+2 is equivalent.", "right_place": "Uses the existing substitution without an invented prerequisite error.", "right_amount": "Provides all three functions and stops after activating the substitution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "f651e5e7e477286ad3be", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the remaining counts and blank numerator correctly.", "correct": "Nine favorable members out of19 gives9/19.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "56c2eb7b17cba3a611be", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the remaining counts and blank numerator correctly.", "correct": "Nine favorable members out of19 gives9/19.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "9a75bb93e42a8df19edc", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads option A as0/19; the printed numerator is9.", "correct": "Claims no option equals9/19 and recommends rechecking although A is exactly9/19.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "ba379a80e546ea2b0aaf", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Misreads D=60θ as D=60degrees and speculates about its intent.", "correct": "States50+105-90=55, but that expression equals65; the correct55S follows105-50.", "right_place": "Supplies the prerequisite distance for the existing relation.", "right_amount": "Continues from flight distance through latitude difference to B latitude, adding an unnecessary later target." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "97bf9f354da8540951fe", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blue distance-angle relation and missing linear distance.", "correct": "900 nautical miles/hour×7hours=6300 nautical miles.", "right_place": "Supplies the prerequisite distance for the existing relation.", "right_amount": "Rationale, next operation and detailed execution stop at the required distance." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "f5b04f82832aa4e8c824", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls D=60θ a computed value D=60degrees rather than the written relation.", "correct": "Replaces the correct linear-distance relation with angular D=105degrees, conflating distance and angle.", "right_place": "Makes correction of an invented60degree answer its target instead of using the valid relation.", "right_amount": "Rationale, next operation and detailed execution stop at the required distance." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "20a01f63cc06318f764a", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Infers the student confusion from the pen position and states no earlier error despite unverified source height.", "correct": "Claims the fractional factor cannot be merged before summing; distributivity or exact rational multiplication permits it.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "d7156a9d1e5159099fc0", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes radii in original diagram from later recorded h=20.", "correct": "Frustum expression and arithmetic are valid conditional on h=20; retaining h gives615.832h/3.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "a664e5df616b9ffc7858", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts the student is treating the denominator as immediate division solely from the resting pen.", "correct": "Says division now forces rounding and multiplication must precede division; exact rational arithmetic avoids either restriction.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "2d17543479bddc983b74", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "fce98727c793dd07e226", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "9c0a914ee3d73983b9c5", "time": "2026-10-28T19:23:12.663Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at q candidates; closing this finite two-candidate branch is accepted as one coherent case test.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the conditional p=q+6 branch rather than claiming general equality.", "correct": "Prime divisors of12 are2,3 and associated8,9 are composite.", "right_place": "Continues the current divisibility case and preserves its conditional status.", "right_amount": "Explains and executes candidate testing without solving remaining cases." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.663Z" } }, { "action": "save-assessment", "responseId": "45612e06b30371f45199", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "9636025cb0ec2ac99bcd", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "d11d012560a7a3bc16d5", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Solving this one selected factor-pair system is a defensible operation boundary; merely giving the valid assignment also fully executes its narrower prescription.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes the product order from an actual assignment.", "correct": "a+b>a-b>0 forces13,3 and solving gives8,5 when included.", "right_place": "Preserves factor-pair method and uses the original positivity constraint.", "right_amount": "Supplies rationale and executed assignment/current-case solution without pursuing other factor pairs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "90fe6b7cd5f10780e475", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Continues the valid square-completion operation already underway.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "421798c49d89bbac66c9", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Replaces the already-started valid completion with a quartic squaring strategy and calls completion a detour, contrary to preserving the valid approach.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "fa42ed8a03ed2c592137", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x≠-1 domain note does not invalidate completing the square; the squaring alternative states that restriction explicitly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads sqrt(11-x) and the valid add/subtract4 step correctly.", "correct": "Completion yields(x-2)²-9; any stated squared expansion is algebraically correct with supplied side conditions.", "right_place": "Continues the valid square-completion operation already underway.", "right_amount": "All three functions execute the chosen algebraic operation and stop before solving roots." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "3a37b725956a7467d627", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference differentiates only. Proving derivative positivity or using it to obtain a first bracket are supported bounded alternatives.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies f and floor(a^6) target without inventing work.", "correct": "Derivative5x^4-3x²+1 is positive; f(1)=-1,f(2)=24 support11 claim is unsupported.", "right_place": "Acknowledges the b0 limitation and explicitly treats only the current b>1 branch; that branch is a valid target although its argument is wrong.", "right_amount": "Expands into multiple sign/order systems and a claimed whole solution set rather than the next divisibility step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "92340fffafa905230be7", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the quotient and substitutions accurately, including the two-sided issue when addressed.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "6785c90712e1dcd92c45", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Calls an alleged expectation of numerator1 the student misread without any such written claim; only an unfinished limit is visible.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "a42b33bac78ca4aa148d", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Responses1/2 initially call the derivation valid but explicitly cover u→-infinity during execution, repairing the one-sided notation. Response3 correctly isolates that issue and stops after numerator evaluation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the quotient and substitutions accurately, including the two-sided issue when addressed.", "correct": "Squeeze bound1/|u| gives0 from both sides; denominator limitπ is nonzero.", "right_place": "Resolves the actual remaining limit evaluation and supplies both-sided justification.", "right_amount": "Gives rationale and executed squeeze/evaluation; the final0 is intrinsic to evaluating the current limit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "9fc42be103cbe6b3ae2f", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "20185e4a55d05db167bf", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "6757eaab453a05cffb85", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Determining du,v belongs to executing a complete parts setup; not penalized merely for going beyond the reference two assignments.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the blank integration-by-parts setup for parta.", "correct": "The selected factors, derivative and primitive are correct.", "right_place": "Continues the visible parts approach without addressing unrelated partb.", "right_amount": "Completes the parts data and stops before applying the formula to finish the integral." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "5bbafaf867a703a9053e", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "Claims the difference-of-squares form is the only form allowing xy=99 insertion; substitution is already valid in the expanded factors.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "495a0378d250c189752c", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "Identity gives(x²+y²)²-(2xy)²=1600 and substitution yields40804; positive square root202 when included is valid.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "207888719dd7bd31b18a", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "Identity gives(x²+y²)²-(2xy)²=1600 and substitution yields40804; positive square root202 when included is valid.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "5f31afedb15a23a0f63d", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "Provides rationale and detailed factorization result without back-substituting to x." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "01438ea59535e13e5427", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "Provides rationale and detailed factorization result without back-substituting to x." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "5f61cee2fcd3cc45fcc6", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Factoring both the cube difference and common binomial is one coherent factorization operation, even though reference stops after the first identity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Faithfully reads the substitution and deliberate split30=27+3.", "correct": "Difference of cubes and common-factor extraction produce the correct factorization; stated discriminant is correct.", "right_place": "Executes the visible grouping strategy.", "right_amount": "After completing its prescribed factorization, separately computes the discriminant and solvesY=3; these are unnecessary subsequent solving steps." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "1c60987e5ef5f1ded1ff", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Explains and executes the division without unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "73b148eaa597d85df097", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Beyond isolating the square, solves±3 and verifies both by resubstituting in the entire original fraction, unnecessary later work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "f7dd11f1ea322b3a14dd", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The result of the requested division is required. The extra full original-equation checks are an independent scope defect, not a penalty for supplying x²=9.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the division chain and current3x²=27.", "correct": "Division givesx²=9; both±3 satisfy the original equation when stated.", "right_place": "Continues the valid algebraic reduction at its current state.", "right_amount": "Explains and executes the division without unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "d4c45c0c075a3219c402", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "Uses sqrt(sin x)/sqrt(cos x) and(sin±cos)/sqrt(sin cos) without restricting to positive sine/cosine; identities fail in quadrantIII where tanx>0.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "17eac45da168d639f2f3", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "On tanx>0, u=sqrt(tanx)-sqrt(cotx) yields sum-portion integral du/(u²+2).", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "e3f98821316739ed644e", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "The common-denominator identity has a missing sign on quadrantIII; separate real square roots of negative sin/cos are invalid.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "623d992af6278094d110", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "Provides rationale and executes the chosen bounded angle operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "3259779f6d0690e35bdc", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "After determining the bearing, adds a separate coordinate/equilateral-closure verification that is unnecessary to the next angle operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "8dbb05e68224296922e3", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "Provides rationale and executes the chosen bounded angle operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "0c48544deb0ce8839df5", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The answer exceeds the five-word preference but supplies necessary specificity.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The blue line visibly crosses at (0,1) and (1,0), and shading includes negative coordinates.", "correct": "x+y=1 is the wrong boundary for a maximum combined count of 12; counts cannot be negative.", "right_place": "It identifies the originating boundary error and the infeasible shaded region.", "right_amount": "It gives the relevant errors explicitly without solving the original inequality exercise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "07ed36a6f6f9eab3daf5", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Wrong shading is read as the resulting feasible region, not a claim that the inequality directions are both reversed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "A misplaced diagonal and an incorrect feasible region are visible.", "correct": "The diagonal is displaced from x+y=12 and the shaded region is not the allowable production region.", "right_place": "It addresses the graph construction errors rather than an unrelated calculation.", "right_amount": "It names both line placement and shading defects concisely; exact equations were not expressly required." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "cd455e39aee705535434", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Shading exists despite the reference wording.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The diagonal is visibly wrong and the shaded region contains inadmissible points.", "correct": "The boundary should be x+y=12; the displayed graph does not represent the required region.", "right_place": "It targets the diagonal and resulting shading, the relevant errors in this graph.", "right_amount": "It names the two graph defects without adding a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "4ab4c98cc1bdbba79277", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The unqualified yes overlooks the visible 3 1/5 in the 5-tablespoon row.", "correct": "5:(3 1/5) is not 3:2; garlic should be 10/3 for that row.", "right_place": "It answers the requested ratio check, although incorrectly.", "right_amount": "A yes/no answer is sufficient for this question; the defect is its truth, not missing explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "f7650f1dd390c93247e6", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The response endorses all rows despite the 5-tablespoon row reading 3 1/5.", "correct": "The 5-to-3 1/5 pair does not preserve 3:2.", "right_place": "It addresses the intended all-row ratio question.", "right_amount": "The concise yes supplies the requested answer format; no independent scope defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "7bdbf00b63970d744c32", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference conflict rests on the handwritten denominator.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It correctly points to the visible 5-tablespoon row as the problematic pair.", "correct": "With 3 1/5 written beside 5, that pair does not equal 3:2.", "right_place": "It answers the ratio question and locates the relevant exception.", "right_amount": "The no plus named row is sufficient; a full recomputation is unnecessary." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "1f29c6e861b45a5d207a", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The rationale is a supported interpretation, not a quotation of a written explanation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "20 appears in the estimate and nearest-ten rounding is supported by the task.", "correct": "20 is the nearest ten to 21.", "right_place": "It answers both what 21 became and why that rounded value was used.", "right_amount": "The rounded value and concise rationale fully answer the teacher question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "8344adf4045b9fc895e3", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No written verbal rationale is visible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The estimate visibly uses 20; nearest-ten rounding fits the displayed change.", "correct": "Rounding 21 to the nearest ten gives 20.", "right_place": "It supplies the requested rounded value and rationale.", "right_amount": "Both requested parts are provided without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "752c1240204507b3c573", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "This gives the purpose of rounding, rather than a detailed proximity explanation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "20 is visible and the printed instruction explicitly asks for an estimate.", "correct": "Using 20 to estimate the product is mathematically defensible.", "right_place": "It answers the value and purpose of the rounding.", "right_amount": "The value and estimation purpose suffice, although nearest ten would be more specific." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "caf150ac387e1c694854", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The no-error claim overlooks the plainly written terminal 24.", "correct": "Five cats have 20 paws, so the final pair 10 ears/24 paws is wrong.", "right_place": "It denies the actual final-value error instead of diagnosing it.", "right_amount": "A no-error response is complete in form; its failure is the incorrect assessment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "555cba4b6a730004a350", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The last paw entry is visibly 24.", "correct": "Five cats have 5x4=20 paws, so replacing 24 with 20 is correct.", "right_place": "It identifies the actual terminal error, with earlier increments correct.", "right_amount": "It states the erroneous value and correction without an unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "3b451465c3da16915ae7", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The surrounding image makes the paw-count referent clear.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "24 is the visible last paw label.", "correct": "The correct five-cat paw count is 20.", "right_place": "It targets the actual wrong entry rather than inventing an earlier error.", "right_amount": "The concise correction clearly identifies the requested error." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "a58e108bbafba4766eb3", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice. Do not infer labels solely from expected equal thirds; handwriting ambiguity remains.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The faint leftmost, second and last labels cannot be confidently matched to 4/6,1/2,3/4 from the original pixels.", "correct": "This is a transcription task; unclear glyphs prevent establishing whether those reported fractions are the written labels.", "right_place": "It supplies a list of number-line labels, the requested target.", "right_amount": "It lists four labels concisely with no unrelated mathematical solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "bd57c3cbff62d2e6e13a", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; reference agreement alone does not resolve faint glyphs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The proposed 0/3,1/3,2/3,3/3 reading is plausible, but the faint first and second/final denominators are not secure.", "correct": "The expected thirds sequence and reference support plausibility, not certain transcription of the actual strokes.", "right_place": "It answers the requested label-list question.", "right_amount": "It gives a complete four-label list without excess explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "da535e386a65af715dc1", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; do not silently replace faint writing with mathematically expected labels.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "2/3 is clear, but 4/6,1/2 and the final 3/3 cannot all be confirmed from the faint yellow writing.", "correct": "The exact claimed fractions depend on unresolved glyph readings, not a calculation that can independently resolve them.", "right_place": "It addresses which labels the student wrote.", "right_amount": "A four-value list is sufficient in form and within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "3948bc71c0c44afe80e6", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The faintness merits close inspection, but E is present and above the axis.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The point labeled E is visible near (-3,2), above the horizontal axis.", "correct": "That position matches the requested (-3,2).", "right_place": "It correctly reports no supported error in the requested plotting task.", "right_amount": "The requested no-error answer is concise and sufficient." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "19a8b9af041f34557775", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "A point and E label are visibly present left of the y-axis above the x-axis.", "correct": "Calling the plot missing is an incorrect assessment of the submitted work.", "right_place": "It invents an omission instead of assessing the plotted E.", "right_amount": "The omission claim is complete in form; no separate scope defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "91a4e57f3a7cd02cd524", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference also mislocates E, but does not support calling it absent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "E is visibly plotted and labeled near (-3,2).", "correct": "The claim that E was not plotted is false.", "right_place": "It targets a nonexistent omission.", "right_amount": "It states a clear alleged error; the problem is its falsity rather than incompleteness." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "33efbe12837caba00546", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The triangles are visibly drawn by hand around a common Z.", "correct": "Freehand rotation around Z is a defensible description of the approach.", "right_place": "It describes the strategy rather than solving or grading the rotations.", "right_amount": "The short phrase conveys the requested strategy." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "6a4fe660af75684a6af3", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The student draws multiple triangles sharing Z.", "correct": "Drawing rotated images around Z is a valid description of the displayed method.", "right_place": "It answers the strategy question directly.", "right_amount": "It gives a clear concise strategy without unrequested corrections." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "5c976e9778e21b9a434a", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It does not claim exact angular accuracy.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The repeated triangles are arranged around the shared Z.", "correct": "Rotation about Z correctly describes the represented operation.", "right_place": "It addresses the student strategy.", "right_amount": "The phrase is sufficient to identify the approach." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "60332f1c6c3c2ff17eee", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Chronology cannot be inferred from spatial placement alone; the dividend mismatch is a logical prerequisite for the intended check. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The bottom inscription reads like2×27, with no distinct equals sign; asserting the exact written2×2=7 invents a consequential relation.", "correct": "Although2×2≠7 is true, that claimed equation is not supported as the student error; the visible mismatch is29 versus93.", "right_place": "It isolates a later arithmetic symptom while missing the prior substitution of 29/20+9 for the 93 check.", "right_amount": "It clearly states an error without extra solution; the deficiency is target priority." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "74e21162361c4b571989", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The bottom false equation is an additional symptom; the response locates the prerequisite mismatch. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "29 and 20+9 are visible whereas the problem dividend is 93.", "correct": "Using 29 does not check the stated 93/7 division.", "right_place": "It identifies the originating mismatch in the check quantities.", "right_amount": "It gives a specific concise error without a full replacement check." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "70d43a28e2a3eb9831e9", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A more explicit quotation would improve clarity, but both error types are identifiable. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Wrong numbers is supported, but the compressed bottom inscription does not establish a written equation to call false.", "correct": "The quantity mismatch is valid; the additional false-equation diagnosis depends on an unconfirmed equals sign.", "right_place": "It covers the originating quantity mismatch and the later false equation.", "right_amount": "The two concise defect descriptions are sufficient in the visible context." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "477a1ff72214a6da5cd4", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A decimal point on the dividend is not clearly visible; this answer does not endorse every detail of the long division.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "3 is the leading dividend digit inside and 50 is outside the bracket; trailing zeros accompany 0.06.", "correct": "The placement is correct for 3 divided by 50; appended decimal zeros are standard.", "right_place": "It answers the requested inside/outside placement question.", "right_amount": "The direct yes and locations completely answer the question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "4542fb6d300b016253c4", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference says 300, but the quotient 0.06 makes the 3.00 reading defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The numerator is inside the bracket and 50 is outside.", "correct": "Yes is defensible for placement of 3 and 50, interpreting the zeros as decimal extension.", "right_place": "It addresses the precise placement question.", "right_amount": "A yes/no question permits this concise answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "35d60f5d4708ca0a85da", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It does not certify the entire long-division notation; the dividend decimal is faint or absent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible layout places 3 with appended zeros inside and 50 outside.", "correct": "That is the correct numerator/divisor placement for 3/50.", "right_place": "It answers the placement question directly.", "right_amount": "The one-word response suffices for the requested yes/no judgment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "482d1df9e63792a39ac2", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Use unverifiable for the assessment boundary, not because the unequal-looking widths are invisible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The parts have visibly unequal widths, especially the narrow leftmost part.", "correct": "Whether this freehand estimate is sufficiently equal to count as thirds is not resolved by the task; strict rejection and sketch tolerance are both defensible.", "right_place": "It targets the equality required for thirds.", "right_amount": "It gives a direct judgment and specific reason without unrelated solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "7b5365926c3b622c9160", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Shading overlaps a divider; lead should inspect the lower-left internal boundary.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The bottom strip appears to have two internal boundaries and three regions, not two halves.", "correct": "Calling it halves miscounts the visible partitions.", "right_place": "It addresses the requested bottom partition, although with a misread count.", "right_amount": "The yes/no verdict and reason are sufficient in form." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "c8305727661099228891", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The equality of the parts is a separate issue from their count.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "A further internal divider is visible near the left of the bottom strip, making three regions.", "correct": "The claim that the bottom has only two parts is unsupported by the visible boundaries.", "right_place": "It answers the partitioning question rather than another task.", "right_amount": "It supplies a direct verdict and reason; no independent omission." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "51a107f30eab2d0d31da", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It could say too low for greater precision, but the erroneous point is identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first point is visibly near y=16, below the required 28.", "correct": "The first point does not represent V(1.25)=28 accurately.", "right_place": "It identifies the actual first-point error with the other stated points approximately correct.", "right_amount": "The first-point location is sufficiently specific in this three-point graph." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "b79fb8added663eac5a9", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not override the plotted vertical position.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible first point is below the required y=28.", "correct": "The graph therefore has a supported plotting error.", "right_place": "It denies the actual first-point error.", "right_amount": "The no-error form is complete; the defect is the incorrect assessment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "7306aab5397205829b62", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The coordinates name the target point; they do not claim it is already plotted correctly.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first point is below where 28 lies between 0 and 40.", "correct": "Calling the intended (1.25,28) point too low is correct.", "right_place": "It identifies the specific plotted point and error direction.", "right_amount": "It gives a clear concise diagnosis without constructing a new graph." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "af79ae7a0a134774216e", "time": "2026-10-28T19:23:12.664Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible decomposition is a triangular cut at the right, not three vertical strips.", "correct": "Three strips misdescribes the geometric pieces shown.", "right_place": "It attempts to describe the requested decomposition.", "right_amount": "The response is concise and complete in form; the issue is the wrong description." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.664Z" } }, { "action": "save-assessment", "responseId": "c34f6e1e1398e7721100", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "A triangle is visibly cut off by the right-side vertical segment.", "correct": "A triangular cut is the displayed decomposition used to rearrange the parallelogram.", "right_place": "It answers how the student decomposed the shape.", "right_amount": "Naming the triangular piece is enough; a full area solution is unnecessary." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "609bff5eb655aa984926", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The rectangle drawn above is not evidence of three-strip decomposition.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The right-hand triangle is bounded by the added vertical segment and slanted right side.", "correct": "This accurately identifies the cut-off piece.", "right_place": "It addresses the visible decomposition directly.", "right_amount": "It gives the piece and its location with no extraneous work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "f334c5203b71af057a23", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The rightmost slanted quadrilateral visibly has non-right angles.", "correct": "At least one quadrilateral has non-right angles.", "right_place": "It answers the existence question exactly.", "right_amount": "Yes is sufficient for this yes/no question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "78e24f9beae61dfea465", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not label every rough rectangle mathematically non-rectangular solely from freehand distortion.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The left figure is rectangle-like; its slight skew cannot securely establish intentional non-right angles from this photograph.", "correct": "The yes is supported by the rightmost figure, but the specific left-one identification is not decidable given drawing imprecision.", "right_place": "It addresses which quadrilateral meets the requested feature.", "right_amount": "The answer is concise and names a figure; no independent completeness issue." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "92caedd03ad676a05ed1", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No claim about the right angles of the internal triangles is needed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The rightmost quadrilateral is visibly oblique.", "correct": "Its acute and obtuse corners provide non-right angles.", "right_place": "It identifies a supported example answering the teacher question.", "right_amount": "The yes plus location is complete and concise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "5db8e9aa32ea805d1fd4", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The product written beside the model is outside this specific teacher question.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Despite overlapping colors, the red shading over three of five columns is visible; calling the whole representation unclear overstates the limitation.", "correct": "The blanket inability to identify the representation is not supported by the discernible column shading.", "right_place": "It addresses the representation question, rather than solving the multiplication.", "right_amount": "It omits the supported answer that three columns are shaded and does not localize what remains unclear." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "221e8175402fd2203782", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Red strokes visibly cover the first three grid columns.", "correct": "Shading three of five equal columns represents 3/5.", "right_place": "It describes the requested fraction representation.", "right_amount": "It supplies both the count and identifying color with no unrelated correction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "3537ea413c0e8fbebef2", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No full multiplication solution is added.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Three of the five grid columns are shaded in red.", "correct": "Three shaded columns out of five correctly describes the 3/5 model.", "right_place": "It addresses exactly how 3/5 was represented.", "right_amount": "It gives the sufficient representation description concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "4c274027d94c07196612", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final water glyph is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The final labels read 12 powder and 16 water.", "correct": "12:16=3:4, whereas 4:6=2:3.", "right_place": "It answers the ratio question and names the exception.", "right_amount": "The no, explicit pair and comparison fully answer the question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "e75cc1e06cd56e0271fe", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Last value is read as 16, not silently repaired to 18.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The last water label is visibly 16 on the adopted reading.", "correct": "16 is inconsistent with 12 powder at the 4:6 ratio.", "right_place": "It locates the only pair breaking the displayed pattern.", "right_amount": "The last-value locator is sufficient in this short ordered number line." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "c3aeb5af3c63d5685b03", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference conflicts with the visible last value on this reading.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The final aligned pair is 12 and 16.", "correct": "That pair fails the required 2:3 proportional relation.", "right_place": "It identifies the relevant final-pair exception.", "right_amount": "The concise no and location suffice for the teacher question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "ad507de51e2c0938d1cb", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The third row is 20 yellow and 24 red, a correct visible pair.", "correct": "24 is four times 6, matching 20 as four times 5.", "right_place": "It invents an error in the correct third row.", "right_amount": "The claim is concise and specific in form; its defect is its falsity." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "409979e15e4803dce113", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "All four visible pairs match the stated 5-to-6 relation.", "correct": "Doubling, quadrupling and halving both values preserve the ratio.", "right_place": "It correctly reports no error in the submitted table.", "right_amount": "The no-error answer fulfils the teacher request without added solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "4d7092f2efe87632f325", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The handwritten 24 should not be mistaken for an incorrect red value.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible table contains 5:6,10:12,20:24 and 2.5:3.", "correct": "Each pair is equivalent to 5:6.", "right_place": "It correctly assesses the actual table as error-free.", "right_amount": "The requested no-error statement is complete and concise." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "99bc6ffdcdc555a48c7d", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The image triangle above the line keeps the original orientation rather than being mirrored.", "correct": "It fails the perpendicular-bisector condition for corresponding reflected vertices.", "right_place": "The no directly answers the reflection-correctness question.", "right_amount": "No explanation was required; the direct no is sufficient." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "585d05fa54aabfc8f332", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible triangle is moved across the line without the required reflected orientation.", "correct": "It is not a correct reflection across the drawn oblique line.", "right_place": "It judges exactly the requested transformed image.", "right_amount": "The direct negative judgment fully answers this yes/no task." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "d6f023f8d5a4adcb7d9f", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference endorsement is not adopted.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The two triangles have a translated-looking orientation inconsistent with the mirror line.", "correct": "Corresponding vertices are not equidistant along perpendiculars to the line.", "right_place": "It answers the requested correctness check.", "right_amount": "The concise no supplies the required answer without unnecessary construction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "64e93ef916ff01dd82bf", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The statement is understood as wrong numbers for this check, not false arithmetic.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The check visibly uses 7 and 2 rather than the divisor 4 and quotient 14.", "correct": "Those quantities do not verify 56/4.", "right_place": "It targets the wrong numbers in the actual highlighted check.", "right_amount": "The brief diagnosis identifies the relevant checking defect without adding a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "826747dade9b6698004b", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Giving the checking factors is within error-diagnosis scope, not an unrelated complete solution.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "7x2 is visibly written; 14 is its product.", "correct": "A proper multiplication check uses quotient 14 and divisor 4, so the comparison is valid.", "right_place": "It identifies the initial wrong-factor choice in the check.", "right_amount": "The explicit wrong and intended factors provide a useful concise diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "54811c042920de40cac2", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "1-1=0 is true; the response is read as criticizing subtraction in this checking procedure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The work uses 7x2 and the separate subtraction 1-1.", "correct": "Those factors and subtraction are unsuitable for the required divisor-times-quotient-plus-remainder check.", "right_place": "It addresses both relevant defects in the highlighted check.", "right_amount": "It covers the wrong factors and operation without extra solution steps." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "eed5896e7f27b063dc7a", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The bottom line visibly changes 7-(-17) into 7-17.", "correct": "Subtracting -17 means adding 17, so the reported rewrite is invalid.", "right_place": "It identifies the earliest supported algebraic error rather than endorsing the correct final 24.", "right_amount": "The quoted transformation pinpoints the error without unrelated calculation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "96e37efde0ef520f4d97", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The 17 beside the brace is a distance, and the -10 tick is not visibly swapped with a -17 coordinate label.", "correct": "There is no supported reversal of -17 and -10; the actual algebraic sign loss is different.", "right_place": "It invents a diagram error and misses the supported first invalid algebraic rewrite.", "right_amount": "The alleged error is stated concisely; its defect is unsupported content rather than scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "14b4439f416d152a76b6", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not rescue the false no-error judgment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visibly written 7-(-17)=7-17 contradicts the no-error assertion.", "correct": "A correct final 24 does not validate that invalid intermediate equality.", "right_place": "It misses the actual sign error.", "right_amount": "The no-error answer is complete in form; no separate delivery defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "f24976064301f52f4378", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Omission is scored under completeness, not as invented writing.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "A-F and x,y,z are visible; capitalization is a harmless paraphrase here.", "correct": "Every label it reports exists, with no false mathematical claim.", "right_place": "It addresses the requested label inventory.", "right_amount": "It omits all three visible primed labels x-prime,y-prime,z-prime, so the inventory is materially incomplete." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "56ff3122fa81956f3173", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The missing x-prime is a completeness defect; other listed labels are grounded.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "A-F,x,y,z,y-prime,z-prime are visible.", "correct": "The reported labels are accurate as far as they go.", "right_place": "It answers the label-list question.", "right_amount": "It omits the clearly visible x-prime beside the lower-left vertex." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "350bdc642e7929935fde", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The five-word preference does not justify omitting required labels.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "All listed unprimed, primed and A-F labels are visible on the graph.", "correct": "It accurately reports both original and reflected vertex labels.", "right_place": "It answers the requested label inventory.", "right_amount": "It includes the entire relevant visible set, with no unnecessary reflection solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "fd32bb56404cd33fd8b5", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "This is faithful reporting, not a claim that 126 feet is the solution. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "126.0 is visibly followed by yards, not feet.", "correct": "The response faithfully reports the written quantity and unit without endorsing it as the correct total feet.", "right_place": "It resolves the question premise by distinguishing the written yards from requested feet.", "right_amount": "The parenthetical unit clarification is enough to explain why this is not a stated feet total." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "9596dcf46524f4027543", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It should not be marked as invented writing: 4.5 ft is present. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "4.5 ft is visibly written in the lower-right conversion work.", "correct": "That is the one-bow conversion of 1.5 yards, not the total amount to buy for 84 bows.", "right_place": "It selects the per-bow conversion rather than the requested total ribbon quantity.", "right_amount": "The number and unit are a complete answer in form; the defect is selecting the wrong quantity." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "30a4e7e3fb7d06805838", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not fail merely because the student conversion would be mathematically wrong: the task asks what the student said. The uncertainty concerns attribution of feet/finality. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The circled total calculation gives126 yards followed by126÷3=42; in the feet question this supports an implicit attempted feet total, despite no repeated unit.", "correct": "42 is a faithful report of the attempted conversion result; the task asks what the student said, and the worksheet explicitly requests no units in the answer.", "right_place": "It addresses the requested total-quantity question using the plausible total computation.", "right_amount": "The direct number/unit answer is sufficient in form; no extra solution is supplied." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "cb877fbb9171d1898016", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The table visibly shows 9 cups red and 6 cups green.", "correct": "Those are three times the one-batch quantities 3 and 2.", "right_place": "It answers whether the representation shows the requested three-batch amounts.", "right_amount": "The direct yes is sufficient without a new diagram." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "8c3a8578a5e4266a5e8c", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The written values are 9 red cups and 6 green cups.", "correct": "The values correctly represent three batches.", "right_place": "It targets the requested quantity correctness.", "right_amount": "It gives a concise direct answer and appropriate qualification to the numbers." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "7eb439b0c01187417e92", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The original exercise says add to a diagram, but this teacher question asks whether the shown quantities are correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The table explicitly writes cups beside both values; if referring to cup icons, their absence does not prevent the amounts being shown.", "correct": "A labeled numerical representation can correctly show nine and six cups without drawing individual cups.", "right_place": "It substitutes an unnecessary icon requirement for the asked quantity check.", "right_amount": "The response states its objection clearly; the flaw is the unsupported requirement, not insufficient length." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "0a2e5abb2219a899dc09", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The fraction -2/1 is plainly written next to the line.", "correct": "-2/1 equals -2, so it represents the requested slope.", "right_place": "It answers how the student indicated the slope.", "right_amount": "The concise description names the relevant annotation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "a43e4231ca557a0478df", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible -2/1 fraction and arrow label the line.", "correct": "The fraction is a valid expression of slope -2.", "right_place": "It describes the student slope labeling, the exact target.", "right_amount": "It provides the necessary label without unrequested graph correction." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "aafa1b083796819cfe23", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No claim is made that the rough graph has exact rise/run everywhere.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "-2/1 is visible beside the graph.", "correct": "That fraction denotes slope -2.", "right_place": "It identifies the requested method of showing slope.", "right_amount": "The short transcription sufficiently answers this question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "27f3921a69589d98b6cd", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "No equations are visible and all three lines cross the y-axis at the same point.", "correct": "A common intercept violates the requested different y-intercepts; equations are also required.", "right_place": "It identifies both actual requirement failures.", "right_amount": "Both concise defects are supplied without constructing replacement lines." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "284f290458d0742470e3", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The graph shows a common origin crossing and contains no equations.", "correct": "These are failures of the distinct-intercept and equation instructions.", "right_place": "It addresses the relevant graph and missing-equation defects.", "right_amount": "It covers both material errors concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "0a2bcb6ff762678aaa29", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No ordering between independent intercept and omission defects is fabricated.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The three lines share a visible intercept, with no accompanying equations.", "correct": "The task requires different intercepts and equations, so both criticisms are correct.", "right_place": "It targets the actual unmet requirements.", "right_amount": "The response is clear and complete for the error question." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "ccb7f6ccdf32444adf89", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The column headings and boundaries, not an inferred intended 59, determine the visible movement.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The lower 5 and 9 sit only two labeled columns to the right of their original positions.", "correct": "Dividing by 1,000 moves each digit three places right in a place-value chart, not two.", "right_place": "It misses the supported place-value shift error.", "right_amount": "The no-error answer is complete in form; its assessment is incorrect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "ebfe4c26d86c96e5b7e4", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The lower decimal-like mark does not repair the chart-column mismatch.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The top 5 in ten-thousands is placed in hundreds below, and 9 similarly moves thousands to tens.", "correct": "That is a two-place shift; a divisor of 1,000 requires three.", "right_place": "It identifies the originating place-value operation error.", "right_amount": "The concise comparison specifies the error fully without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "ad0b094f7ff4a1115e89", "time": "2026-10-28T19:23:12.665Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference no-error judgment conflicts with the chart positions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The labeled chart visibly shows a two-column movement of 5 and 9.", "correct": "That does not represent division by 1,000 correctly.", "right_place": "It denies the actual place-value shift error.", "right_amount": "The response is sufficient in form but substantively wrong." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-28T19:23:12.665Z" } }, { "action": "save-assessment", "responseId": "8f8c99b3299a5e510d51", "time": "2026-10-28T20:58:48.104Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.603, "completedAt": "2026-10-28T20:58:48.104Z" } }, { "action": "save-assessment", "responseId": "9441d5f900f40f9f0d8f", "time": "2026-10-28T20:59:30.787Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 2.835, "completedAt": "2026-10-28T20:59:30.787Z" } }, { "action": "save-assessment", "responseId": "9441d5f900f40f9f0d8f", "time": "2026-10-28T20:59:38.437Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.375, "completedAt": "2026-10-28T20:59:38.437Z" } }, { "action": "save-assessment", "responseId": "8f8c99b3299a5e510d51", "time": "2026-10-28T20:59:50.270Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 14.486999999999998, "completedAt": "2026-10-28T20:59:50.270Z" } }, { "action": "save-assessment", "responseId": "8f8c99b3299a5e510d51", "time": "2026-10-28T21:00:00.553Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.224999999999994, "completedAt": "2026-10-28T21:00:00.553Z" } }, { "action": "save-assessment", "responseId": "8b6a6e9d8877a0d5635d", "time": "2026-10-28T21:03:28.935Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "Addresses all scheme points for the angle difference.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.282, "completedAt": "2026-10-28T21:03:28.935Z" } }, { "action": "save-assessment", "responseId": "669d3ffd826a6034cfd3", "time": "2026-10-29T06:12:25.763Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says the required values are clearly identified without acknowledging the wrong final exponent 4.", "correct": "The scheme does not resolve whether implicit parameters in 56-(t-4)^4 earn A1.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.563, "completedAt": "2026-10-29T06:12:25.763Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-29T06:13:17.296Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two; ambiguity is credit policy, not a licence to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "A1 for implicit parameters in a wrong-power expression is not explicitly settled.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 25.415, "completedAt": "2026-10-29T06:13:17.296Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-29T06:13:26.529Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "A1 for implicit parameters in a wrong-power expression is not explicitly settled.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 26.068, "completedAt": "2026-10-29T06:13:26.529Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-29T06:13:43.563Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "A1 for implicit parameters in a wrong-power expression is not explicitly settled.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.698, "completedAt": "2026-10-29T06:13:43.563Z" } }, { "action": "save-assessment", "responseId": "554d512783969ce037f3", "time": "2026-10-29T06:14:28.646Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "Withholding A1 is plausible, but the scheme does not settle whether the identifiable implicit parameters suffice.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 24.532, "completedAt": "2026-10-29T06:14:28.646Z" } }, { "action": "save-assessment", "responseId": "0ded5c3f8011a1a2b0e2", "time": "2026-10-29T06:19:51.460Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents 144 and boxed 5/12; image shows 140 and 5/7.", "correct": "Awards the second process mark for compounding that the student did not perform.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 11.482000000000001, "completedAt": "2026-10-29T06:19:51.460Z" } }, { "action": "save-assessment", "responseId": "ee4bd774f8282dfe4535", "time": "2026-10-29T06:23:45.626Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "", "right_place": "Rewards 1 for wrongly setting up correct method.\n\n0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 130.39099999999996, "completedAt": "2026-10-29T06:23:45.626Z" } }, { "action": "save-assessment", "responseId": "e50bf60f89dea77590b4", "time": "2026-10-29T06:24:02.044Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.2319999999999998, "completedAt": "2026-10-29T06:24:02.044Z" } }, { "action": "save-assessment", "responseId": "756546d8a7737019b8b0", "time": "2026-10-29T06:24:26.860Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "", "right_place": "Rewards 1 for wrongly setting up correct method.\n\n0 versus 1 depends on whether subtracting 120 and dividing by 12 may follow through 360; the supplied scheme has no explicit their-total instruction.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 12.347, "completedAt": "2026-10-29T06:24:26.860Z" } }, { "action": "save-assessment", "responseId": "44b28141cf126b3900e3", "time": "2026-10-29T06:38:31.305Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "", "right_place": "5/5 assumes a correct answer automatically earns all method marks; the scheme authorizes no such blanket implication.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.106, "completedAt": "2026-10-29T06:38:31.305Z" } }, { "action": "save-assessment", "responseId": "146eb524ba8c3c8b02f3", "time": "2026-10-29T06:40:42.887Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "", "right_place": "Automatically awards three unseen method marks; the scheme does not authorize answer-only full credit.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.856999999999998, "completedAt": "2026-10-29T06:40:42.887Z" } }, { "action": "save-assessment", "responseId": "51a9470884100c38a89c", "time": "2026-10-29T06:42:30.869Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "Withholds first P1 solely for absence of an explicit multiplier although the equivalent starting value120 evidences a20% increase.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.345000000000002, "completedAt": "2026-10-29T06:42:30.869Z" } }, { "action": "save-assessment", "responseId": "86900098d2cfeb3c2b70", "time": "2026-10-29T06:43:12.269Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "", "right_place": "3/3 depends on whether the ambiguous increment denotes a20% increase of120 or invalid addition of0.20; subsequent numbers alone do not settle valid process.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.424000000000003, "completedAt": "2026-10-29T06:43:12.269Z" } }, { "action": "save-assessment", "responseId": "86900098d2cfeb3c2b70", "time": "2026-10-29T06:45:10.301Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "", "right_place": "Although implied, but for first step, complete method using a starting value", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 60.623, "completedAt": "2026-10-29T06:45:10.301Z" } }, { "action": "save-assessment", "responseId": "86900098d2cfeb3c2b70", "time": "2026-10-29T06:45:25.419Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "", "right_place": "Although implied, but for first step, complete method using a starting value. So need to withhold P1.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 69.05099999999999, "completedAt": "2026-10-29T06:45:25.419Z" } }, { "action": "save-assessment", "responseId": "5774c34bccc56757acfd", "time": "2026-10-29T06:45:32.969Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "3/3 depends on whether the ambiguous increment denotes a20% increase of120 or invalid addition of0.20; subsequent numbers alone do not settle valid process.", "right_place": "Although implied, but for first step, complete method using a starting value. So need to withhold P1.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.26, "completedAt": "2026-10-29T06:45:32.969Z" } }, { "action": "save-assessment", "responseId": "efc1691dd21b006f1c93", "time": "2026-10-29T06:47:54.470Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), which is not written; lower work is in powers of3.", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 1.792, "completedAt": "2026-10-29T06:47:54.470Z" } }, { "action": "save-assessment", "responseId": "efc1691dd21b006f1c93", "time": "2026-10-29T06:48:59.052Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), and also 1/(3sqrt3)^5 which is not written; ", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 29.876, "completedAt": "2026-10-29T06:48:59.052Z" } }, { "action": "save-assessment", "responseId": "fe262e33eab11b2eba7d", "time": "2026-10-29T06:49:23.419Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3sqrt3)^5 which is not written; ", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.782, "completedAt": "2026-10-29T06:49:23.419Z" } }, { "action": "save-assessment", "responseId": "3f3aae12b56c50d35d0e", "time": "2026-10-29T06:51:23.785Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3^(3/2))^5 which is not written; ", "correct": "A correct first-step expression earns M1 despite the preceding error; no rationalization or final-form point is earned.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 93.28200000000001, "completedAt": "2026-10-29T06:51:23.785Z" } }, { "action": "save-assessment", "responseId": "3e5b002cd960534fdaeb", "time": "2026-10-29T06:56:10.651Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "0 versus1 rests on whether the visibly omitted5 is accepted as implied by adjacent x²-5; supplied scheme does not settle this incomplete substitution.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.498, "completedAt": "2026-10-29T06:56:10.651Z" } }, { "action": "save-assessment", "responseId": "2804f09c258dd6b45105", "time": "2026-10-29T06:56:57.566Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "", "right_place": "The visibly omitted 5 is accepted as implied ; supplied scheme does not settle this incomplete substitution.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 25.583, "completedAt": "2026-10-29T06:56:57.566Z" } }, { "action": "save-assessment", "responseId": "7ce64ad797ee6e201f60", "time": "2026-10-29T06:57:05.567Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "0 versus1 rests on whether the visibly omitted5 is accepted as implied by adjacent x²-5; supplied scheme does not settle this incomplete substitution.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.332, "completedAt": "2026-10-29T06:57:05.567Z" } }, { "action": "save-assessment", "responseId": "ea850d92bdd9afe57409", "time": "2026-10-29T06:58:17.850Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims c=-20 is correctly substituted; formula visibly ends in×20, not×(-20).", "correct": "5/5 and no-errors claim endorse the incorrect signed substitution.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.4330000000000003, "completedAt": "2026-10-29T06:58:17.850Z" } }, { "action": "save-assessment", "responseId": "58758ed02a6154e2ae9a", "time": "2026-10-29T07:01:35.882Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently supplies the missing negative sign for20 under the radical.", "correct": "Full credit includes an incorrect quadratic-formula substitution.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.181, "completedAt": "2026-10-29T07:01:35.882Z" } }, { "action": "save-assessment", "responseId": "53a72510f907aaffd891", "time": "2026-10-29T07:02:16.931Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Wrongly identifies the final factor 20 in the formula as lacking its negative sign.", "correct": "Four points are supported; the substitution with positive20 is not correct.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 20.982000000000003, "completedAt": "2026-10-29T07:02:16.931Z" } }, { "action": "save-assessment", "responseId": "ec6c74ad3c6044908c54", "time": "2026-10-29T16:40:58.977Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Rewrites r(2+2πr/3) and120/(6+2πr) as expressions without the extra r.", "correct": "Calls the written factorization/isolation correct when it improperly retains r; the final mark alone cannot rescue that explanation.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 5.993, "completedAt": "2026-10-29T16:40:58.977Z" } }, { "action": "save-assessment", "responseId": "98379f2ba9ac9e9c3aac", "time": "2026-10-29T16:41:27.042Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently removes r from the bracket and denominator when quoting the intermediate equations.", "correct": "Endorses the erroneous symbolic factorization despite later correct numerical recovery.", "right_place": "Applies the sector scheme to actual recovered work.", "right_amount": "Covers the four credit decisions without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 2.534, "completedAt": "2026-10-29T16:41:27.042Z" } }, { "action": "save-assessment", "responseId": "c52632d69df37df44834", "time": "2026-10-29T16:45:25.243Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "", "right_place": "Awards slant and cosine method points for invalid operations; unsquared10sqrt2 is not correct substitution.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 10.487, "completedAt": "2026-10-29T16:45:25.243Z" } }, { "action": "save-assessment", "responseId": "c52632d69df37df44834", "time": "2026-10-29T16:46:37.575Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "", "right_place": "Awards slant and cosine method points for invalid operations.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.626000000000001, "completedAt": "2026-10-29T16:46:37.575Z" } }, { "action": "save-assessment", "responseId": "032f10169103013a7525", "time": "2026-10-29T16:46:41.625Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Changes the written subtraction into addition and describes a 225+50 arithmetic slip.", "correct": "", "right_place": "Awards the slant-edge method point although the hypotenuse is calculated by subtraction.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.456999999999997, "completedAt": "2026-10-29T16:46:41.625Z" } }, { "action": "save-assessment", "responseId": "323f23840c26b65c3121", "time": "2026-10-29T16:49:08.673Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "", "right_place": "Assumes full marks from a correct final angle, without scheme authorization for three unseen methods and slant length.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.724999999999999, "completedAt": "2026-10-29T16:49:08.673Z" } }, { "action": "save-assessment", "responseId": "ecac601f45bf9209653a", "time": "2026-10-29T16:49:31.373Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "", "right_place": "Invents a dependency of final A1 on cosine M1, whereas the supplied scheme states no such dependency.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 8.565, "completedAt": "2026-10-29T16:49:31.373Z" } }, { "action": "save-assessment", "responseId": "a6ad4c132698598709bd", "time": "2026-10-29T16:53:50.356Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims a legible.80×.95 setup although the left column is overwritten subtraction, with no visible multiplication.", "correct": "", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.074, "completedAt": "2026-10-29T16:53:50.356Z" } }, { "action": "save-assessment", "responseId": "98a73e5b5bd6282d705d", "time": "2026-10-29T16:55:30.204Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Rejects slant follow-through and the equivalent doubled-arctangent method merely because the diagonal is wrong and cosine rule absent.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 22.415, "completedAt": "2026-10-29T16:55:30.204Z" } }, { "action": "save-assessment", "responseId": "56b22098e964ff6e2290", "time": "2026-10-29T16:56:44.371Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Their-value follow-through permits the slant method, and doubled arctangent is a valid equivalent angle method for that triangle.", "right_place": "Awards marks for unrelated calculations without follow-through.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 37.315999999999995, "completedAt": "2026-10-29T16:56:44.371Z" } }, { "action": "save-assessment", "responseId": "bf006ffcebafe7f2c682", "time": "2026-10-29T16:57:18.372Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "Withholds all method credit despite explicit their-value slant allowance and a valid equivalent angle method.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 28.052999999999997, "completedAt": "2026-10-29T16:57:18.372Z" } }, { "action": "save-assessment", "responseId": "d953be679aa308975b4c", "time": "2026-10-29T16:58:37.820Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "States2.5m as written although the visible final is25m without a decimal.", "correct": "", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.637, "completedAt": "2026-10-29T16:58:37.820Z" } }, { "action": "save-assessment", "responseId": "addb36ae07dc8332612d", "time": "2026-10-29T16:58:51.670Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently inserts decimals and a within1 00 comparison that are not clearly written.", "correct": "", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 6.52, "completedAt": "2026-10-29T16:58:51.670Z" } }, { "action": "save-assessment", "responseId": "df893b046ed539b02b25", "time": "2026-10-29T17:05:32.951Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "Withholds the setup method despite correct remaining sum420 and total12 already shown; later240 copying slip does not negate the supported process.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.699, "completedAt": "2026-10-29T17:05:32.951Z" } }, { "action": "save-assessment", "responseId": "affd7e7bd97ad1c718df", "time": "2026-10-29T17:06:37.385Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "Method credited for 420 and 12 before the transcription slip, wrong.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 32.934999999999995, "completedAt": "2026-10-29T17:06:37.385Z" } }, { "action": "save-assessment", "responseId": "affd7e7bd97ad1c718df", "time": "2026-10-29T17:07:03.250Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "Method marks credited for 420 and 12 before the transcription slip, wrong.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 37.36000000000001, "completedAt": "2026-10-29T17:07:03.250Z" } }, { "action": "save-assessment", "responseId": "affd7e7bd97ad1c718df", "time": "2026-10-29T17:07:10.217Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "Method marks credited for 420 and 12 before the transcription slip, wrong.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.00600000000001, "completedAt": "2026-10-29T17:07:10.217Z" } }, { "action": "save-assessment", "responseId": "8f8c99b3299a5e510d51", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "The trailing glyph after 7 resembles n. Whether it is part of the answer or a stray mark changes the single-point award; the image does not establish that intent. Do not turn this into a confirmed 1/1.", "right_place": "Addresses credit for the requested value.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.224999999999994, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "669d3ffd826a6034cfd3", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says the required values are clearly identified without acknowledging the wrong final exponent 4.", "correct": "The scheme awards M1 for sight of (t−4)² and A1 for A=56, B=4. Both parameter values are identifiable in the final 56−(t−4)^4, despite its wrong outer power. This parameter-only scheme does not explicitly make A1 depend on an otherwise flawless rewritten identity.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "The two-sentence justification explains both awarded points. The visible exponent error does not establish a separate missing required field or scope defect; do not automatically duplicate a mathematical-reading objection under Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.563, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "The scheme awards M1 for sight of (t−4)² and A1 for A=56, B=4. Both parameter values are identifiable in the final 56−(t−4)^4, despite its wrong outer power. This parameter-only scheme does not explicitly make A1 depend on an otherwise flawless rewritten identity.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.698, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "0ded5c3f8011a1a2b0e2", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents 144 and boxed 5/12; image shows 140 and 5/7.", "correct": "The student writes 140, not 144, after the second increase. Crediting a complete compounding process by reading this as 144 is unsupported; the scheme supports the first process point but not that second point.", "right_place": "Applies the share-increase scheme to submitted work.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 11.482000000000001, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ee4bd774f8282dfe4535", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "Subtracting 120 and dividing by 12 is the appropriate ratio procedure, but it is applied to the incorrect total 360. The supplied point scheme does not explicitly settle follow-through for this second point after a wrong polygon sum. A definitive 0-versus-1 ruling needs that convention, not a reference preference.", "right_place": "The response grades the actual pentagon work and discusses the relevant ratio method. Uncertainty about a method-point award belongs to Q2; it does not by itself establish that a different target was addressed.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 130.39099999999996, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "756546d8a7737019b8b0", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "Subtracting 120 and dividing by 12 is the appropriate ratio procedure, but it is applied to the incorrect total 360. The supplied point scheme does not explicitly settle follow-through for this second point after a wrong polygon sum. A definitive 0-versus-1 ruling needs that convention, not a reference preference.", "right_place": "The response grades the actual pentagon work and discusses the relevant ratio method. Uncertainty about a method-point award belongs to Q2; it does not by itself establish that a different target was addressed.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 12.347, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7c85a21defb8ed325a56", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "50.5 is visibly correct, but the supplied scheme lists three method points and an intermediate accuracy point without a general answer-only/implied-credit convention. It does not determine whether this answer-only work earns 1 or full credit. Retain the ambiguity rather than invent a blanket rule.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "44b28141cf126b3900e3", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "", "right_place": "The response assesses the requested final angle in the actual student submission. Its full-credit interpretation may need scheme clarification under Q2, but it does not switch to another mathematical target.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.106, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "962f78a209bbbf2daf68", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "50.5 is visibly correct, but the supplied scheme lists three method points and an intermediate accuracy point without a general answer-only/implied-credit convention. It does not determine whether this answer-only work earns 1 or full credit. Retain the ambiguity rather than invent a blanket rule.", "right_place": "Grades the angle under the supplied five-point scheme.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "3663065d9312ec87f422", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The written 9.77 cm is correct. The supplied scheme does not state the general M/A dependency or answer-only implied-credit rule needed to choose 1/4 versus 4/4. Neither automatic full credit nor accuracy-only credit is settled by this excerpt.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d46e9b37eaa409e1c939", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The written 9.77 cm is correct. The supplied scheme does not state the general M/A dependency or answer-only implied-credit rule needed to choose 1/4 versus 4/4. Neither automatic full credit nor accuracy-only credit is settled by this excerpt.", "right_place": "Grades the radius using its four-point scheme.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "146eb524ba8c3c8b02f3", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "", "right_place": "It grades the radius requested by this problem. Whether the final answer implies all method points is an assessment-correctness question, not evidence that it assessed another target.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.856999999999998, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "51a9470884100c38a89c", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "The scheme explicitly permits the starting-value route 100→120→144. Once that complete route is credited, withholding its first process point solely because 1.2 is not explicitly written contradicts the permitted equivalent method.", "right_place": "Addresses the two increase processes and final fraction.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.345000000000002, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "86900098d2cfeb3c2b70", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "", "right_place": "The requested compounded-share fraction and the relevant submitted process are assessed. A disputed process-point allocation is not automatically a task-relevance failure.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 69.05099999999999, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "5774c34bccc56757acfd", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The apparent 1/144 is an additional written inconsistency, though 100/144 and25/36 are legible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies 120,144 and the final25/36, with local uncertainty about the increment.", "correct": "The scheme explicitly permits the starting-value route 100→120→144. Once that complete route is credited, withholding its first process point solely because 1.2 is not explicitly written contradicts the permitted equivalent method.", "right_place": "The requested compounded-share fraction and the relevant submitted process are assessed. A disputed process-point allocation is not automatically a task-relevance failure.", "right_amount": "Gives a mark with a sufficiently specific credit explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.26, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "efc1691dd21b006f1c93", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), and also 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 29.876, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "fe262e33eab11b2eba7d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.782, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "3f3aae12b56c50d35d0e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3^(3/2))^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "Applies the L^-5 scheme to written expressions.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 93.28200000000001, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "2804f09c258dd6b45105", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The bracket in 4(x²− )+3 omits its constant, with x²−5 separately present. The excerpt does not settle whether that incomplete substitution earns the first method point; the subsequent −23 is wrong. Do not certify either 0 or 1 from an unstated completion rule.", "right_place": "It evaluates the requested composite-function work and identifies the incorrect equation. The disputed credit for the incomplete bracket does not make this a response to a different task.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 25.583, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "53a72510f907aaffd891", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Wrongly identifies the final factor 20 in the formula as lacking its negative sign.", "correct": "The sign before 20 in the formula substitution is not secure enough to certify the proposed deduction. If −20 is present the substitution is correct; if +20 is written it is not. The correct final roots cannot settle the earlier glyph by themselves.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 20.982000000000003, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "c52632d69df37df44834", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The response applies the pyramid-angle scheme to the submitted work. Incorrect credit or a misdiagnosed operation is assessed under Q1/Q2; the actual angle-assessment target is still addressed.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.626000000000001, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "032f10169103013a7525", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Changes the written subtraction into addition and describes a 225+50 arithmetic slip.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The response applies the pyramid-angle scheme to the submitted work. Incorrect credit or a misdiagnosed operation is assessed under Q1/Q2; the actual angle-assessment target is still addressed.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.456999999999997, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "323f23840c26b65c3121", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "", "right_place": "It grades the actual angle answer 50.5°. Its answer-only full-credit convention is a Q2 issue; no different requested target or prerequisite is substituted.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.724999999999999, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "35cfe9703281ad178717", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "Only 50.5° is shown. The excerpt does not provide the general convention needed to decide whether all method credit is implied, so its 1/5 allocation cannot be confirmed as the unique defensible mark.", "right_place": "Assesses the actual answer-only submission.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ecac601f45bf9209653a", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "The response invents an explicit dependency of the final A1 on a shown Cosine Rule M1 and awards zero. No such dependency is stated in the supplied excerpt; absence of working alone does not justify the claim that no credit can be awarded.", "right_place": "It grades the requested pyramid angle; the invented mark dependency is an assessment-correctness defect under Q2 rather than a different task.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 8.565, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "a6ad4c132698598709bd", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims a legible.80×.95 setup although the left column is overwritten subtraction, with no visible multiplication.", "correct": "The work shows addition/subtraction with 0.2 and 0.35 and the answer 0.45. No readable 0.8×0.95 product earns the method point asserted by the response.", "right_place": "Grades the joint non-faulty probability.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.074, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "56b22098e964ff6e2290", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme permits their-value follow-through. Treating 5 as their half-diagonal gives √(15²+5²), and doubling arctan(5/15) is the equivalent angle method for that assumed triangle. The wrong diagonal and final angle lose their accuracy credit, but this method-credit interpretation is defensible.", "right_place": "It evaluates the slant-edge and vertex-angle methods in the actual submission. A defensible follow-through interpretation is not a change of the requested assessment target.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 37.315999999999995, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d953be679aa308975b4c", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "States2.5m as written although the visible final is25m without a decimal.", "correct": "Its own justification recognises the 25 kg cement→2.5 m scaling and the 75 kg sand check. Denying every process point solely for lack of an explicit division while awarding supported-answer credit disregards that equivalent process.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.637, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "addb36ae07dc8332612d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently inserts decimals and a within1 00 comparison that are not clearly written.", "correct": "The stated cement scaling yields 2.5 m, needing 75 kg of the available 100 kg sand. That is a valid limiting-ingredient comparison; a separately written 100÷30 is not the only equivalent complete process allowed by the scheme.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 6.52, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "df893b046ed539b02b25", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540−120=420 and the 12 ratio parts are correctly recorded before 420 is copied as 240. This supports the second method point; the later copying error and resulting wrong angles do not erase that already evidenced setup.", "right_place": "Grades the requested angle difference and all four points.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.699, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "affd7e7bd97ad1c718df", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "It grades the requested angle difference and the actual written steps. Correctly distinguishing a setup method from later copying/accuracy errors fulfils the assessment target.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.00600000000001, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "8d16fde24969fb9bec5e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Method credit is supported by explicit correct420 and12 before the transcription slip, unlike MED-08 where the initial angle sum is conceptually wrong.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges240 rather than silently correcting it to420.", "correct": "540-120=420 and sum12 support the correct intended setup; later transcription/accuracy mistakes do not erase that evidence.", "right_place": "It grades the requested angle difference and the actual written steps. Correctly distinguishing a setup method from later copying/accuracy errors fulfils the assessment target.", "right_amount": "Provides concise credit allocation and relevant error explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 8.442, "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "5b557ce98a8f244c6239", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "4d04f0e05ed7b5e66535", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "a5332f3a2e75ddc17340", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads the sole answer0.76.", "correct": "The answer 0.76 is correct and no calculation is shown. The short scheme does not supply the general answer-only/implied-method convention needed to distinguish 1/2 from 2/2. Preserve this missing-convention uncertainty instead of forcing agreement.", "right_place": "Grades both probability-scheme points.", "right_amount": "Explains treatment of correct answer and absent method." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "5ee7953b4cfed1f9492d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the visibly written intermediate radicand2 to3.", "correct": "The intermediate denominator visibly uses √2 before the stated √3/6561 result. A complete correct rationalisation cannot be established by silently replacing √2 with √3. The response certifies full method credit despite that contradiction.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7f277228dc6f5395b56f", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "The intermediate denominator visibly uses √2 before the stated √3/6561 result. A complete correct rationalisation cannot be established by silently replacing √2 with √3. The response certifies full method credit despite that contradiction.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "af2d9742d13d4596ce7d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Identifies correct starting and final forms while acknowledging problematic middle denominator.", "correct": "The first-step and final-answer expressions match scheme points, but the intervening √2 line is invalid and the excerpt does not settle terminal A1 dependency here. The claimed 2/3 is plausible only under one convention; its unique correctness is unresolved.", "right_place": "Grades the three L^-5 points.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "51587631b0cd61bb1d8b", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category boundaries are not uniquely determined by the fragment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly distinguishes visible valid comparisons from supplied C;A.", "correct": "The chosen smallest fraction C contradicts the student’s own 4/11<5/11. Logical inconsistency is a defensible observed-error classification; the response expressly does not claim a known hidden cause.", "right_place": "Targets the first supported mismatch in the submitted answer.", "right_amount": "Supplies category, specific mismatch and evidence limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "e968694630cbc39e8daa", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The two same-denominator comparisons and converted fractions are read faithfully. Whether an ineffective bridge should count as an originating error is a mathematical/target issue, not an invented visual inscription.", "correct": "Comparing 5/11 and 4/13 is valid; incomplete comparisons do not establish the alleged procedural error.", "right_place": "Replaces the supported inconsistent C choice with an invented earlier error.", "right_amount": "Supplies category, specific mismatch and evidence limitation without a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "fe24c57968c44625fbaa", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Duplicated output fields.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "The response reads the actual comparisons and conversions accurately. Its inferred strategy/cause should be checked under the diagnosis criteria rather than automatically treated as a misread symbol.", "correct": "A valid but incomplete comparison is not an invalid step; the asserted misconception and causal path to selecting C are unsupported.", "right_place": "Diagnoses an invented bridge error instead of the supported inconsistent answer.", "right_amount": "The complete Category/Explanation pair is repeated twice. This is a separate, substantial duplication against the requested concise two-field response, not merely an incorrect mathematical claim." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d506be0080c6ed94626e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference also overlooks the earlier omission.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "correct": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_place": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "375fb451fd8a1e76bb3b", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest error diagnosis itself is supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Although it reads63+60 correctly, it invents a subsequent−6x=3; image shows−6x=−3.", "correct": "63+60 is123, not+3; describing the later steps as merely carrying this error forward is mathematically false.", "right_place": "An earlier dropped sign versus a later division error depends on the unclear strokes before 63. Neither the reference nor the later −3 authorises silently choosing an earlier reading.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "4d1983b6a7461f0dc219", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Does not explicitly flag reference conflict; its diagnosis nevertheless clearly supplies the earlier error.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "correct": "A stationary−63 must retain its sign; procedural sign handling is a defensible diagnosis.", "right_place": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "right_amount": "Provides category, exact step and explanation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "8a5010ebe2c4b8093bd9", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It acknowledges that the scratch denominator/operator is ambiguous. The final fractions and that fragment are not visually misquoted; the false requirement to reduce belongs to the correctness and target judgments.", "correct": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_place": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "035cccea1ada183a9465", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Calculation Error is a provisional fit for a conditionally false equality; its cause remains unknown.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Localizes ambiguity in8/28=13/24 instead of silently replacing the relation.", "correct": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_place": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ca88938353ed376f94aa", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The response appropriately notes equivalent final fractions; category cause is overconfident.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "correct": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_place": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_amount": "Provides an allowed category and concise supported limitation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "fdb5772a8c7340d52e64", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual modeling category is defensible without inferring persistent beliefs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "5x+38<6x is too weak for a last share below five; the strict condition is 5x+38<6(x−1)+5. Describing this as a conceptual modelling error is defensible even though Problem Comprehension could also describe it.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "Provides category and specific mathematical explanation within diagnosis scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "489f546f138ba8f2c237", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logical reasoning category appropriately distinguishes necessary from sufficient conditions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_place": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_amount": "Provides category and specific mathematical explanation within diagnosis scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "34f9d5c5fa8497c98855", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It accurately records the visible 24/2.4 multiplication entries and notices the scale inconsistency. Its claim that all such discrepancies follow from the percentage-base error is checked under Q2 rather than counted again as invented handwriting.", "correct": "A percentage-base mistake does not imply the independent decimal inconsistencies: 2.4×0.8=1.92, not 19.2. The response incorrectly treats those later discrepancies as mathematically consistent downstream consequences.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "Supplies category, location and enough explanation without a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "620321fd144c3a431b70", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "correct": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "Supplies category, location and enough explanation without a full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "dc080ef86b6c49b964e3", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "Provides category, location and concise explanation without completing the whole problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ab807e7acb5f2cd5ad29", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest count error is nevertheless correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "Provides category, location and concise explanation without completing the whole problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "c7b6b44b7982dc87ccee", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is a plausible provisional category; exact cognitive cause is not observed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "The base sum must be 28−2×5=18; using 24 explains the wrong area. Problem Comprehension is a defensible category for that observed quantity mismatch even though the unwritten source of 24 cannot be recovered.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "241f4b4c98d1f2e26d77", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It labels the sub-step inferred, yet overstates what that inference demonstrates.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "correct": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "1515b9b403432def575c", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Procedural omission/incorrect preliminary value is defensible; it does not require a unique hidden arithmetic cause.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "Using the wrong base sum within an otherwise correct area procedure supports a procedural-error interpretation. The response clearly acknowledges the unshown derivation; a different defensible category is not automatically incorrect.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "Supplies category, mismatch and evidence limitation without a full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "645a9f85e6a3322af3ef", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Rewrites final m²=27/50=±root as m=±root and calls all transformations valid.", "correct": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_place": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_amount": "Provides category, precise error and the important reference conflict concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "b5693ebc2eb773ce255c", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category describes notation knowledge application, without explicitly asserting a persistent misconception.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 is not 10.58%. Explaining the omitted percent notation and its changed meaning supports a conceptual-notation classification of the observed response; this need not establish a persistent learner belief.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "Supplies category, precise missing symbol and its meaning without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "6d3bc219236acda19a0d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Derived” overstates the visible recalled formula, but does not alter the supported diagnosis. Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7c762708b400c8a8bedb", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims the visible formula lacks a minus even though a short minus is present between b² and4ac.", "correct": "The lower written formula visibly contains b²−4ac. A diagnosis that specifically says the minus is absent there misclassifies an expression that is correctly written, regardless of omissions elsewhere.", "right_place": "Moves the error into an earlier correct formula instead of the supplied typed second root.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "017b506707cd960491d9", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "Provides category and exact missing symbol with sufficient explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "772caffb5927d92d8ea0", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Source conflict prevents a definite cross-source chronology.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Explicitly separates recorded−16 from uncertainty in visible first and last terms.", "correct": "Dropped decimal in the supplied answer is a valid transcription mismatch, and its mathematical explanation is correct.", "right_place": "The typed first term −16 conflicts with the image’s visible decimal; the final sign is also unclear. The supplied evidence has no priority rule that settles which sequence determines the earliest error.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "06b69bd82e937db4ba41", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Insists the image reads−16 despite a decimal point between1 and6, and treats final term as correct despite missing inner minus.", "correct": "It certifies all remaining conversions as intact despite the image’s last term appearing +(3.1), not +(−3.1). The typed-answer interpretation cannot erase that conflicting written sign.", "right_place": "The typed first-term copying error and the image’s apparent final-term sign error point to different earliest defects. The response chooses the former without resolving that evidence conflict.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "84c593d955c2835e44f0", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "It reports the apparent +(3.1), the visible −1.6 and the conflicting typed −16, rather than silently rewriting one source to agree with the other.", "correct": "Subtracting3.1 must become adding−3.1; a procedural sign diagnosis is defensible.", "right_place": "The candidate flags the image/typed-answer conflict, but which error is earliest remains unresolved because the sources disagree and no precedence convention is supplied.", "right_amount": "Provides category, specific step and sufficient source-conflict explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "b484cb6b941f232ea778", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core sign mismatch is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "correct": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "Supplies category, exact mismatch and enough explanation without full replacement working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "9eb8be9a7a71bdc3abf4", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "Supplies category, precise error and cause clearly within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "fe87dfbf4017c4ad3d49", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "Supplies category, precise error and cause clearly within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "33dcc0d4a18d17d9b951", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Required category is explicitly non-substantiated; this respects the seven-choice constraint while explaining evidence.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "5/70=1/14, so no mathematical error is supported; mandatory category can be accompanied by explicit limitation.", "right_place": "5/70=1/14, and the actual task has no lowest-terms condition. Identifying the unsupported error premise is relevant; the reference’s chosen simplification cannot create a mathematical error.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "aecb71b2bf800905fcce", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_place": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "9316348b5f60bc92775e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the first plus sign as minus and asserts an initial miscopy.", "correct": "The first written polynomial has +2x²; the later combined expression changes it to −2x². The response instead locates a copying error in the initial line and says the later combination is correct, which reverses the visible sequence.", "right_place": "Locates error in the wrong line instead of the change during simplification.", "right_amount": "Supplies category, location and precise reason without unnecessary solving." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "35c273b10a4d0837009d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Its diagnosis of the unjustified s² factor and correct reciprocal mathematics are nevertheless valid. Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "correct": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "Supplies category, precise mismatch and relevant limitation without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "cec6c8e9530374f7293e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It faithfully reports the 47+55 subtotal and the different 104 in the product, explicitly noting that inconsistency. Whether the missing −2 can be established as the first procedural error is a diagnosis issue; no written term is silently changed.", "correct": "A correct intermediate addition is not an invalid procedural step; omitted−2 alone would yield102, not104.", "right_place": "Selects a valid subtotal as earliest error instead of the unsupported104 factor.", "right_amount": "Provides category, concrete factor mismatch and uncertainty without full solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "f48a75cdbe03a0b3ffa2", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Final-answer mismatch is correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "correct": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "Supplies category, exact mismatch and enough explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "89f12db7305980680c0d", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No decimal point is clear in quotient16, but decimal continuation makes1.6 plausible; lower168 is the more definite invalid computation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "correct": "33×6=198, not168; Calculation Error is the supported category for that product.", "right_place": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7e95de29a00a91919c60", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "correct": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_place": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "52d7825482c4843bfeab", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The wrong-precision observation itself is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "correct": "Rounding1.666…to1.7 uses tenths rather than required hundredths; detail diagnosis of that later error is mathematically defensible.", "right_place": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "right_amount": "Gives category, precise location and correction without excess." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "8c0f9e2c02e5839f1f52", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The separate (6m+7)x=0 is visibly present. Whether it is an invalid transformation or a condition imposed for infinitely many solutions is a mathematical/sequence interpretation, not a misread inscription.", "correct": "Under infinitely many solutions the right side must be0; writing(6m+7)x=0 is compatible, not intrinsically invalid.", "right_place": "For infinitely many solutions, imposing the necessary zero constant is compatible with the problem. The separate top-right line is not proof of an earlier invalid replacement or nonzero coefficient, so that alleged first error is unsupported.", "right_amount": "Provides category, concrete contradiction and evidence limitation without full parameter solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "67db2efe41982fff16ce", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "correct": "The zero-right-side statement is a valid necessary condition for infinitely many solutions, although incomplete alone.", "right_place": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "right_amount": "Provides category, concrete contradiction and evidence limitation without full parameter solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "c724e12ab78cab9049b6", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says no division by2, ignoring top-right3÷2 with quotient1.", "correct": "Claim the student never uses capacity and simply solves total tonnage is contradicted by visible division.", "right_place": "The shown work stops at total mass 3 t and the submitted trip count is three. Identifying the unfulfilled 2-t-capacity step targets the observable task mismatch; it need not establish a specific hidden calculation or learner belief.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "1921c6e93aa721a382a0", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims capacity never used and no division performed despite visible3÷2.", "correct": "The alleged omitted capacity step is present, so its procedural-cause claim is unsupported.", "right_place": "The shown work stops at total mass 3 t and the submitted trip count is three. Identifying the unfulfilled 2-t-capacity step targets the observable task mismatch; it need not establish a specific hidden calculation or learner belief.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d42b10e9a958495f26fe", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads the generic a^(m-n),a^m/a^n note as a separate base9 expression.", "correct": "Taking logarithms is a valid immediate continuation for 4^(x−2)=60; same-base rewriting alone cannot isolate x without the logarithmic inverse. The generic a^(m−n) note does not require that route or make the log step irrelevant. Its separate base-9 misreading is already covered by Q1.", "right_place": "Taking logarithms is a valid immediate continuation for 4^(x−2)=60; same-base rewriting alone cannot isolate x without the logarithmic inverse. The generic a^(m−n) note does not require that route or make the log step irrelevant. Its separate base-9 misreading is already covered by Q1.", "right_amount": "All three sections execute a bounded transformation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "e4ddafc8ccb48843a9b5", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logarithms themselves are a valid alternative; failures concern misreading/rejecting the supplied progress, not disagreement with the reference alone.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Invents a stack of powers of9; the note is the generic exponent quotient rule.", "correct": "4^(x-2)=4^x/16 is valid.", "right_place": "No main-equation step has yet been performed, and a logarithm is an appropriate next operation. The generic quotient identity does not mandate a different continuation.", "right_amount": "Gives the fully isolated x=2+log60/log4 while describing isolation as an unperformed subsequent step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ce14f075001e360653ab", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Faithfully identifies the positivity checks and declared cube-root substitution.", "correct": "The denesting expansion and coefficient system yield p=q=1/2 and x=(√5−1)/2, whose cube is √5−2. Cubing the original substitution alone merely restates the radicand; this supported alternative next operation is mathematically valid. Any separate excess-scope defect remains Q4.", "right_place": "The denesting expansion and coefficient system yield p=q=1/2 and x=(√5−1)/2, whose cube is √5−2. Cubing the original substitution alone merely restates the radicand; this supported alternative next operation is mathematically valid. Any separate excess-scope defect remains Q4.", "right_amount": "Solves p,q, denests completely to(sqrt5-1)/2 and verifies the full answer, well beyond one next operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "9a75bb93e42a8df19edc", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Misreads option A as0/19; the printed numerator is9.", "correct": "Printed option A is 9/19. Its statement that no option equals 9/19 and recommendation to recheck the options are false assessment claims, even though its probability calculation is correct.", "right_place": "Completes the actual unfinished conditional probability fraction.", "right_amount": "Provides rationale and executes the requested final fraction, which is allowed even though it completes the problem." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "f5b04f82832aa4e8c824", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls D=60θ a computed value D=60degrees rather than the written relation.", "correct": "The written D=60θ is a distance–angle relation, not D=60°. The response replaces that correct relation with D=105° while declaring it a correction; computing 105° does not validate that change of the defined quantity.", "right_place": "Makes correction of an invented60degree answer its target instead of using the valid relation.", "right_amount": "Rationale, next operation and detailed execution stop at the required distance." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "20a01f63cc06318f764a", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Infers the student confusion from the pen position and states no earlier error despite unverified source height.", "correct": "The numerical sum is correct, but the claimed blocker that a fractional factor cannot be merged before summing is false: distribution and exact rational arithmetic permit it. This is a substantive erroneous mathematical explanation.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d7156a9d1e5159099fc0", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Accurately distinguishes radii in original diagram from later recorded h=20.", "correct": "Frustum expression and arithmetic are valid conditional on h=20; retaining h gives615.832h/3.", "right_place": "The ordered work explicitly records h=20 in its data list and proceeds correctly from it; nothing supplied contradicts that datum. Replacing it with an unknown instead of giving the next arithmetic step invents an unsupported blocker.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "a664e5df616b9ffc7858", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts the student is treating the denominator as immediate division solely from the resting pen.", "correct": "Dividing 62.84 by 3 first does not force rounding if the rational value is retained. The assertion that summation and multiplication must precede division excludes valid exact arithmetic, despite the correct final numerical value.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "Provides rationale, operation and an executed bounded arithmetic/height-verification step." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "799df8370bb59f517970", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Inspection/trial is accepted despite the reference choosing subtraction of x. Broad no-symbolic-solve rhetoric is read as elementary algebra context, not a claim excluding special functions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the blue37 as32 and invents an unjustified constant change.", "correct": "Both the original and blue working equations show 37, not a changed constant 32. The claimed algebraic/copying error and its required correction are therefore unsupported assessment decisions.", "right_place": "Repeats the already-correct equation as a correction instead of advancing actual work.", "right_amount": "Executes the candidate test; its yielding a final answer is intrinsic to the requested operation, not automatic overhelp." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "1a88ccb305dfaa3e3228", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Source does not specify positive variables. Missing sign is a mathematical completeness error in the result, not a separate scope defect.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the three products and multiplication step.", "correct": "The image specifies no positivity condition. From (abc)²=120000 one obtains abc=±200√3; a supposed standard positive-root convention does not remove the valid negative branch.", "right_place": "Continues the chosen multiplication strategy.", "right_amount": "Explains and executes the product/square-root operation, without solving a+b+c." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "8eee0b37daadd0ac21ee", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads coprime integer condition and the written positive-b restriction.", "correct": "a(a+1)≥0 implies b≥0; b0 leaves coprime pair(-1,0).", "right_place": "The original problem says coprime integers, so b=0 is not excluded: (a,b)=(−1,0) is valid. Repairing that earlier unsupported blanket restriction is relevant even though the currently written b>1 branch can itself continue.", "right_amount": "Explains and executes the omitted-case check without solving all remaining branches." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "380728bab6d24fa866e9", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "fail" }, "reasons": { "reads": "Accurately reads coprime integer condition and the written positive-b restriction.", "correct": "False factor-matching claim: coprime factor pairs with equal product need not match (6·35=14·15); also b≥0 does not imply b≥1.", "right_place": "It explicitly endorses b≥1 and concludes only the b=1 solutions, leaving the genuine (−1,0) case excluded. The offered continuation is built on that unresolved restriction, not merely a different valid strategy.", "right_amount": "Runs four proposed systems and claims the entire solution set, well beyond a single next divisibility operation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "5bbafaf867a703a9053e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing the intermediate x²+y² is accepted as a coherent continuation; it does not disclose the original x+y answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads both constraints and the current expanded conjugate factors correctly.", "correct": "The displayed difference-of-squares identity is correct, but the explanation that it is the only form allowing xy=99 substitution is false: 2xy can already be substituted in the expanded factors. A correct operation does not rescue that material exclusivity claim.", "right_place": "Continues the chosen squared-product method toward the original sum target.", "right_amount": "Provides all functions and stops at a bounded intermediate relation/value, without solving x+y." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "d4c45c0c075a3219c402", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "No domain restriction to positive sin x and cos x is supplied. For x in quadrant III, tan x>0 but the separate real roots √sin x and √cos x are invalid, and (sin x±cos x)/√(sin x cos x) needs a sign adjustment. The stated identities are not valid across the integrand’s real domain.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "e3f98821316739ed644e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 explicitly uses tanx>0 and its radical substitution works throughout that real domain; it is a supported alternative to merely splitting integrals.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the four radical terms and their cancellation.", "correct": "No domain restriction to positive sin x and cos x is supplied. For x in quadrant III, tan x>0 but the separate real roots √sin x and √cos x are invalid, and (sin x±cos x)/√(sin x cos x) needs a sign adjustment. The stated identities are not valid across the integrand’s real domain.", "right_place": "Preserves the chosen sum/difference decomposition.", "right_amount": "Gives rationale and executes a bounded transformation, leaving final integration unfinished." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "4ab4c98cc1bdbba79277", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "correct": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "right_place": "It answers the requested ratio check, although incorrectly.", "right_amount": "A yes/no answer is sufficient for this question; the defect is its truth, not missing explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "f7650f1dd390c93247e6", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Handwritten denominator is the decisive reading; lead should inspect it closely.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "correct": "The five-tablespoon entry visibly resembles 3 1/5, not the required 3 1/3. The unconditional Yes overlooks that written mismatch; the teacher reference cannot silently replace its denominator.", "right_place": "It addresses the intended all-row ratio question.", "right_amount": "The concise yes supplies the requested answer format; no independent scope defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7bdbf00b63970d744c32", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference conflict rests on the handwritten denominator.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "On the visible 3 1/5 reading, the five-tablespoon row does not preserve 3:2, while the other rows do. Identifying that row is supported by the original image rather than a repaired reference value.", "correct": "On the visible 3 1/5 reading, the five-tablespoon row does not preserve 3:2, while the other rows do. Identifying that row is supported by the original image rather than a repaired reference value.", "right_place": "It answers the ratio question and locates the relevant exception.", "right_amount": "The no plus named row is sufficient; a full recomputation is unnecessary." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "a58e108bbafba4766eb3", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice. Do not infer labels solely from expected equal thirds; handwriting ambiguity remains.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "correct": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "right_place": "It supplies a list of number-line labels, the requested target.", "right_amount": "It lists four labels concisely with no unrelated mathematical solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "bd57c3cbff62d2e6e13a", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; reference agreement alone does not resolve faint glyphs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The visible numerators 0,1,2,3 and the thirds labels support 0/3,1/3,2/3,3/3. Describing 0 as 0/3 preserves its meaning, and no conflicting label is evident.", "correct": "The visible numerators 0,1,2,3 and the thirds labels support 0/3,1/3,2/3,3/3. Describing 0 as 0/3 preserves its meaning, and no conflicting label is evident.", "right_place": "It answers the requested label-list question.", "right_amount": "It gives a complete four-label list without excess explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "da535e386a65af715dc1", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Original image inspected twice; do not silently replace faint writing with mathematically expected labels.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "correct": "The leftmost label is 0 and the second is a third, not 4/6 and 1/2. Those reported values conflate the problem text with the labels; faint remaining denominators do not make these clear numerator/position errors unverifiable.", "right_place": "It addresses which labels the student wrote.", "right_amount": "A four-value list is sufficient in form and within scope." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "60332f1c6c3c2ff17eee", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Chronology cannot be inferred from spatial placement alone; the dividend mismatch is a logical prerequisite for the intended check. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The bottom inscription reads like2×27, with no distinct equals sign; asserting the exact written2×2=7 invents a consequential relation.", "correct": "Although 2×2≠7 is an abstract truth, the response asserts it as an error in this student submission. No such written equation is established, so this is an unsupported mathematical assessment decision, not a correct diagnosis merely because the isolated arithmetic is true.", "right_place": "It isolates a later arithmetic symptom while missing the prior substitution of 29/20+9 for the 93 check.", "right_amount": "It clearly states an error without extra solution; the deficiency is target priority." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "70d43a28e2a3eb9831e9", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "A more explicit quotation would improve clarity, but both error types are identifiable. Lead adjudication: Lead original-resolution inspection does not establish an equals sign in the bottom2×27-like inscription; worker accepted2×2=7 too readily.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The inscription shows separate numbers/decomposition and a multiplication-like string, but no supported equality to call a false equation. The response positively asserts that nonexistent written relation.", "correct": "The mismatch with checking 93÷7 is supported, but the compressed last inscription does not establish which equation is supposedly false. The additional mathematical diagnosis cannot be confirmed from that image.", "right_place": "It covers the originating quantity mismatch and the later false equation.", "right_amount": "The two concise defect descriptions are sufficient in the visible context." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "482d1df9e63792a39ac2", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Use unverifiable for the assessment boundary, not because the unequal-looking widths are invisible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The parts have visibly unequal widths, especially the narrow leftmost part.", "correct": "The task explicitly asks an estimate drawing of fraction strips. Both strips show three intended sections; rejecting the partition solely for normal freehand differences in width imposes precision the task does not require.", "right_place": "It targets the equality required for thirds.", "right_amount": "It gives a direct judgment and specific reason without unrelated solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7b5365926c3b622c9160", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Shading overlaps a divider; lead should inspect the lower-left internal boundary.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The bottom strip appears to have two internal boundaries and three regions, not two halves.", "correct": "Calling it halves miscounts the visible partitions.", "right_place": "The response bases its judgment on a two-part/halves partition absent from the three-section bottom strip. It does not assess the student’s actual partition under the requested thirds criterion.", "right_amount": "The yes/no verdict and reason are sufficient in form." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "c8305727661099228891", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The equality of the parts is a separate issue from their count.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "A further internal divider is visible near the left of the bottom strip, making three regions.", "correct": "The claim that the bottom has only two parts is unsupported by the visible boundaries.", "right_place": "The response bases its judgment on a two-part/halves partition absent from the three-section bottom strip. It does not assess the student’s actual partition under the requested thirds criterion.", "right_amount": "It supplies a direct verdict and reason; no independent omission." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "b79fb8added663eac5a9", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not override the plotted vertical position.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "correct": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "right_place": "This is an approximate sketch, with opening-time information near (1.25,28), a point near (4,257), and closing at (8,0). The coarse grid and hand-drawn line do not establish a material wrong first-point value, so No error is defensible without demanding pixel-exact interpolation.", "right_amount": "The no-error form is complete; the defect is the incorrect assessment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "af79ae7a0a134774216e", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible decomposition is a triangular cut at the right, not three vertical strips.", "correct": "Three strips misdescribes the geometric pieces shown.", "right_place": "The work shows a cut-and-move triangular rearrangement, not three vertical strips. The response describes a different decomposition from the one the teacher asks about.", "right_amount": "The response is concise and complete in form; the issue is the wrong description." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "78e24f9beae61dfea465", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not label every rough rectangle mathematically non-rectangular solely from freehand distortion.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "correct": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "right_place": "The left shape is an intended rectangle/square with a diagonal; the right parallelogram supplies the non-right angles. Choosing the left one relies on incidental drawing skew and directs the teacher to the wrong figure.", "right_amount": "The answer is concise and names a figure; no independent completeness issue." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "5db8e9aa32ea805d1fd4", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The product written beside the model is outside this specific teacher question.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "pass", "right_place": "pass", "right_amount": "fail" }, "reasons": { "reads": "Despite overlapping colors, the red shading over three of five columns is visible; calling the whole representation unclear overstates the limitation.", "correct": "The response makes no false numerical or algebraic claim: it reports difficulty interpreting the shading. Whether that caution fails to provide enough of the visible answer is covered by Q3/Q4, not automatically an additional false-mathematics finding.", "right_place": "It addresses the representation question, rather than solving the multiplication.", "right_amount": "It omits the supported answer that three columns are shaded and does not localize what remains unclear." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "eed5896e7f27b063dc7a", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "correct": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "right_place": "The lower written equality visibly appears 7−(−17)=7−17=24. Reporting the missing sign reversal is supported; the correct final 24 and a reference saying no error cannot silently supply a vertical stroke to the earlier minus.", "right_amount": "The quoted transformation pinpoints the error without unrelated calculation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "14b4439f416d152a76b6", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference agreement does not rescue the false no-error judgment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "correct": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "right_place": "The apparent intermediate 7−17 is not equal to 7−(−17), even though the boxed final value 24 is correct. A blanket no-error claim overlooks that written inconsistency rather than distinguishing it from the valid final answer.", "right_amount": "The no-error answer is complete in form; no separate delivery defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "9596dcf46524f4027543", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It should not be marked as invented writing: 4.5 ft is present. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "4.5 ft is the per-bow conversion of 1.5 yd, not the stated total for 84 bows. Attributing that local result to the quantity Jeanne must buy confuses the image’s roles.", "correct": "The teacher asks for the student’s total feet of ribbon to buy. Selecting a per-bow 4.5-ft calculation answers a different quantity; a correct local conversion does not make this total-answer attribution correct.", "right_place": "The teacher asks for the student’s total feet of ribbon to buy. Selecting a per-bow 4.5-ft calculation answers a different quantity; a correct local conversion does not make this total-answer attribution correct.", "right_amount": "The number and unit are a complete answer in form; the defect is selecting the wrong quantity." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "30a4e7e3fb7d06805838", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Do not fail merely because the student conversion would be mathematically wrong: the task asks what the student said. The uncertainty concerns attribution of feet/finality. Lead adjudication: Lead accepts42 as the contextually implicit attempted feet total:126 yards and division by3 are adjacent in the circled work, and the original answer instruction omits units. This does not endorse that conversion as correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The student computes 126 yards and then 126÷3=42 as an attempted conversion, within a feet-target task whose original answer instructions omit units. Reading 42 as the attempted total is supported; the conversion itself need not be mathematically correct for this transcription question.", "correct": "42 is a faithful report of the attempted conversion result; the task asks what the student said, and the worksheet explicitly requests no units in the answer.", "right_place": "It addresses the requested total-quantity question using the plausible total computation.", "right_amount": "The direct number/unit answer is sufficient in form; no extra solution is supplied." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "7eb439b0c01187417e92", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The original exercise says add to a diagram, but this teacher question asks whether the shown quantities are correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The table explicitly writes cups beside both values; if referring to cup icons, their absence does not prevent the amounts being shown.", "correct": "A labeled numerical representation can correctly show nine and six cups without drawing individual cups.", "right_place": "The drawn table explicitly labels 9 cups red and 6 cups green. Rejecting it because the student used numbers rather than cup icons substitutes an unnecessary representation requirement for the requested quantity check.", "right_amount": "The response states its objection clearly; the flaw is the unsupported requirement, not insufficient length." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ccb7f6ccdf32444adf89", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The column headings and boundaries, not an inferred intended 59, determine the visible movement.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "correct": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_place": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_amount": "The no-error answer is complete in form; its assessment is incorrect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "ad0b094f7ff4a1115e89", "time": "2026-10-30T08:02:29.741Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The reference no-error judgment conflicts with the chart positions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "correct": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_place": "The labelled chart places the lower 5 and 9 two columns to the right of their originals, not three, although 59 is written. Division by 1,000 requires a three-place move. No error misses this diagrammatic inconsistency; a correct written result does not validate the arrows/column placement.", "right_amount": "The response is sufficient in form but substantively wrong." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:02:29.741Z" } }, { "action": "save-assessment", "responseId": "58758ed02a6154e2ae9a", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently supplies the missing negative sign for20 under the radical.", "correct": "The final factor under the formula radical is not securely readable as +20 or −20. The same unresolved sign that affects the 4/5 candidate also affects these 5/5 judgments. Correct final roots do not retroactively determine that glyph.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.181, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "7ce64ad797ee6e201f60", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The incomplete 4(x²− )+3 sits beside the given x²−5. Whether that substitution attempt earns the first method point is not specified by the excerpt. Apply that uncertainty symmetrically to the zero-credit and one-credit interpretations; later −23 and missing solving stages do not resolve the first point.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.332, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "c724e12ab78cab9049b6", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Says no division by2, ignoring top-right3÷2 with quotient1.", "correct": "Claim the student never uses capacity and simply solves total tonnage is contradicted by visible division.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "3e5b002cd960534fdaeb", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Locates the missing bracket5 and subsequent-23, with no completed quadratic/formula.", "correct": "The incomplete 4(x²− )+3 sits beside the given x²−5. Whether that substitution attempt earns the first method point is not specified by the excerpt. Apply that uncertainty symmetrically to the zero-credit and one-credit interpretations; later −23 and missing solving stages do not resolve the first point.", "right_place": "Addresses composition and all remaining scheme requirements.", "right_amount": "Gives mark and identifies omitted work for later points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.498, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "a664e5df616b9ffc7858", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No supported evidence proves h=20 false. A conditional continuation or explicit height verification is acceptable. Finishing the remaining arithmetic can constitute one bounded evaluation operation; not automatically excess merely because volume results.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Asserts the student is treating the denominator as immediate division solely from the resting pen.", "correct": "Dividing 62.84 by 3 first does not force rounding if the rational value is retained. The assertion that summation and multiplication must precede division excludes valid exact arithmetic, despite the correct final numerical value.", "right_place": "Addresses the current volume computation or its genuinely unverified height.", "right_amount": "The prescribed operation evaluates the remaining numerical expression and gives its result; it does not introduce a subsequent geometrical method. The reference may stop at the bracket sum, but the generic task does not make that one continuation mandatory. Its false forced-rounding explanation remains a Q2 defect." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "3f3aae12b56c50d35d0e", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3^(3/2))^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 93.28200000000001, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "fe24c57968c44625fbaa", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Duplicated output fields.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The response reads the actual comparisons and conversions accurately. Its inferred strategy/cause should be checked under the diagnosis criteria rather than automatically treated as a misread symbol.", "correct": "A valid but incomplete comparison is not an invalid step; the asserted misconception and causal path to selecting C are unsupported.", "right_place": "Diagnoses an invented bridge error instead of the supported inconsistent answer.", "right_amount": "Both required functions are supplied and understandable. The explanation is duplicated, but it adds no separate prohibited solution, omitted component or material ambiguity. With no fixed word cutoff, this is minor redundancy/format repetition, not a supported semantic Q4 failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "3e1a91a8db20a29625a7", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 40.698, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "323f23840c26b65c3121", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the only written answer50.5degrees.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "It grades the actual angle answer 50.5°. Its answer-only full-credit convention is a Q2 issue; no different requested target or prerequisite is substituted.", "right_amount": "Gives a mark and explains absent-method treatment." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.724999999999999, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "44b28141cf126b3900e3", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes 50.5 and localizes unreadable scattered sketch marks.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "The response assesses the requested final angle in the actual student submission. Its full-credit interpretation may need scheme clarification under Q2, but it does not switch to another mathematical target.", "right_amount": "Gives the mark and explains absence of working credit." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 9.106, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "4e3531c4496a2c05b28e", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "The decisive submitted subtraction ends in 5°, not 105°. The response grades a reconstructed correct subtraction as if the student had written it, so it does not address the actual final-step error relevant to the mark.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "5ee7953b4cfed1f9492d", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the visibly written intermediate radicand2 to3.", "correct": "The intermediate denominator visibly uses √2 before the stated √3/6561 result. A complete correct rationalisation cannot be established by silently replacing √2 with √3. The response certifies full method credit despite that contradiction.", "right_place": "It certifies a displayed rationalisation from a √3 denominator by silently replacing the actual √2 glyph. That reconstructed intermediate step hides the student error relevant to the method point. By contrast, explicitly acknowledging an uncertain glyph is not automatically a Q3 failure.", "right_amount": "Supplies mark and a sufficient explanation of each credit decision." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "9441d5f900f40f9f0d8f", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Treats the right side as =7 while the terminal n is visibly part of 7n.", "correct": "Awards 1 for a response whose stated value is 7n, not 7.", "right_place": "It awards credit to a digit-only answer by discarding the visible trailing n. The assessment therefore rests on a reconstructed answer rather than the submitted expression; this is a mismatch to actual student progress, separate from merely choosing a wrong mark.", "right_amount": "Supplies a mark and clear credit justification." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.375, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "17aa8b13521b4a36474c", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The explanation calls simplification a deviation from expected form rather than denying mathematical equivalence. The category is weakly supported, but the substantive source-conflict diagnosis is defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_place": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_amount": "Provides required category and clear evidence-based explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "032f10169103013a7525", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Changes the written subtraction into addition and describes a 225+50 arithmetic slip.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The student subtracts the squared half-diagonal from 15². The response evaluates an invented addition setup followed by an arithmetic slip, so the justification does not address the actual hypotenuse-operation error.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.456999999999997, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "ea850d92bdd9afe57409", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Claims c=-20 is correctly substituted; formula visibly ends in×20, not×(-20).", "correct": "The final factor under the formula radical is not securely readable as +20 or −20. The same unresolved sign that affects the 4/5 candidate also affects these 5/5 judgments. Correct final roots do not retroactively determine that glyph.", "right_place": "Assesses all five required parts.", "right_amount": "Provides a mark with a complete credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.4330000000000003, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "146eb524ba8c3c8b02f3", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the answer as 9.77cm.", "correct": "The final numerical answer is correct but no relevant method is shown. The supplied excerpt does not specify the general answer-only/implied-method convention needed to confirm this full-credit decision. This is the same uncertainty already applied to competing lower-credit decisions.", "right_place": "It grades the radius requested by this problem. Whether the final answer implies all method points is an assessment-correctness question, not evidence that it assessed another target.", "right_amount": "Supplies mark and explains treatment of absent working." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 7.856999999999998, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "669d3ffd826a6034cfd3", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The final exponent resembles 4, unlike the clear 2 on line two. Model exploits ambiguity to silently repair the exponent.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Says the required values are clearly identified without acknowledging the wrong final exponent 4.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "The two-sentence justification explains both awarded points. The visible exponent error does not establish a separate missing required field or scope defect; do not automatically duplicate a mathematical-reading objection under Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 45.563, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "645a9f85e6a3322af3ef", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible final chain keeps m² on the left before equating it to a square-root expression. The response describes this as a line giving m=±3√150/50 and calls the preceding work sound, silently replacing the written left-hand quantity.", "correct": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_place": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_amount": "Provides category, precise error and the important reference conflict concisely." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "8b6a6e9d8877a0d5635d", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes the written final 5 degrees into 105.", "correct": "Full credit relies on a final answer absent from the written subtraction.", "right_place": "The decisive submitted subtraction ends in 5°, not 105°. The response grades a reconstructed correct subtraction as if the student had written it, so it does not address the actual final-step error relevant to the mark.", "right_amount": "Provides a mark and credit breakdown." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 4.282, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "fe262e33eab11b2eba7d", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 21.782, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "56b7df425fbabe69b1ea", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the missing decimal and reads25kg with75kg.", "correct": "The spacing/dot in the handwritten final length does not securely settle 25 versus 2.5. A supported proportional setup exists, but that reading affects the accuracy award and the claimed completed comparison. Do not certify either the low-credit or full-credit interpretation by inferring the desired decimal.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "554d512783969ce037f3", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Acknowledges the visible square and fourth-power final expression.", "correct": "The image contains (t−4)² and the malformed final 56−(t−4)^4. The scheme names A=56 and B=4 but does not settle whether implicit parameters in that wrong-power expression receive A1. Apply the same uncertainty to both full-credit and withheld-credit interpretations, rather than certifying opposite marks.", "right_place": "Grades A,B rather than solving an unrelated target.", "right_amount": "Gives a mark and a reason for the method/accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 24.532, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "0ded5c3f8011a1a2b0e2", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents 144 and boxed 5/12; image shows 140 and 5/7.", "correct": "The student writes 140, not 144, after the second increase. Crediting a complete compounding process by reading this as 144 is unsupported; the scheme supports the first process point but not that second point.", "right_place": "The work uses 140 after adding two twenty-percent increments. The response instead grades a completed 100→120→144 compounding process that is not present, bypassing the actual student error rather than only misallocating a mark.", "right_amount": "Explains awarded process credit and withheld later marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 11.482000000000001, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "f290f684fc2216c2d791", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Response2 obtains x by subtracting a known adjacent angle; accepted as a coherent single angle-determination operation. Response3 validly stops at the narrower whole-angle result.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes the equal-side ticks and distinguishes x from the adjacent25degree wedge.", "correct": "Base angle(180-65)/2=57.5 and resulting32.5 when given are correct.", "right_place": "Uses the actual equal-side constraint to continue from the known25degree angle.", "right_amount": "The response gives a bounded angle-chase operation using the known apex and 25° subangle, and executes it to the unknown angle. A final answer that is the result of the selected operation is permitted; the reference’s shorter intermediate stop is not uniquely required." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "98a73e5b5bd6282d705d", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme accepts their-value follow-through and valid equivalent methods. Denying the angle-method mark merely because an equivalent doubled arctangent is not the Cosine Rule is unjustified; the response also categorically rejects the possible their-half-diagonal interpretation without addressing the authorised follow-through.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 22.415, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "bf006ffcebafe7f2c682", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads5,15,sqrt250 and doubled18.4 correctly.", "correct": "The scheme accepts their-value follow-through and valid equivalent methods. Denying the angle-method mark merely because an equivalent doubled arctangent is not the Cosine Rule is unjustified; the response also categorically rejects the possible their-half-diagonal interpretation without addressing the authorised follow-through.", "right_place": "Assesses the pyramid angle including authorized alternative methods.", "right_amount": "Explains the method and accuracy allocation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 28.052999999999997, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "a6ad4c132698598709bd", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims a legible.80×.95 setup although the left column is overwritten subtraction, with no visible multiplication.", "correct": "The work shows addition/subtraction with 0.2 and 0.35 and the answer 0.45. No readable 0.8×0.95 product earns the method point asserted by the response.", "right_place": "The response grades a supposedly written 0.8×0.95 product, whereas the actual work uses addition/subtraction of other probabilities. It assesses an invented process instead of the submitted one.", "right_amount": "Supplies mark and reasons for both withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 23.074, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "c52632d69df37df44834", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the explicit minus in15²-(5sqrt2)² as plus and invents225+50.", "correct": "The student explicitly uses 15²−(5√2)²=175. The response instead describes 15²+(5√2)² followed by an arithmetic slip and credits that nonexistent correct slant-edge setup; this is unjustified method credit.", "right_place": "The student subtracts the squared half-diagonal from 15². The response evaluates an invented addition setup followed by an arithmetic slip, so the justification does not address the actual hypotenuse-operation error.", "right_amount": "Explains earned diagonal and remaining withheld marks." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 13.626000000000001, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "efc1691dd21b006f1c93", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Invents the equality to1/(2187sqrt3), and also 1/(3sqrt3)^5 which is not written; ", "correct": "The visible reciprocal line is 1/27^5 and the later power ends in 5/3, not the required power 15/2 of 3. The response credits a correct reciprocal first step by substituting a square-root reading that the written expressions do not support.", "right_place": "The response awards the first-step point using a square-root/3/2 expression that is not established by the written reciprocal and later 5/3 power. Its assessment is built on a repaired first step instead of the actual exponent error.", "right_amount": "Explains the one earned and two withheld points." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 29.876, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "f5b04f82832aa4e8c824", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Computing distance then converting angle can be a coherent operation, but falsely correcting the visible formula is not supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls D=60θ a computed value D=60degrees rather than the written relation.", "correct": "The written D=60θ is a distance–angle relation, not D=60°. The response replaces that correct relation with D=105° while declaring it a correction; computing 105° does not validate that change of the defined quantity.", "right_place": "Makes correction of an invented60degree answer its target instead of using the valid relation.", "right_amount": "It prescribes the bounded calculation vt/60 and gives its angular result, without going on to the latitude of B or other later targets. That permitted result is not automatically excess disclosure. Its misreading of D=60θ is assessed under the other constructs." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "e50bf60f89dea77590b4", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads 360, the 12 parts, and resulting 60.", "correct": "The same missing convention affects this 0/4 interpretation as the two 1/4 interpretations: the ratio procedure uses a wrong total 360, and the excerpt does not explicitly settle follow-through for that second point. Do not certify zero solely because Opus prefers it.", "right_place": "Assesses each relevant angle-scheme point.", "right_amount": "Provides a credit decision and sufficient explanation of its basis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 3.2319999999999998, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "623d992af6278094d110", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference stops at60. Directly setting up the marked-angle equation is a defensible alternative operation; final15 is not by itself prohibited disclosure.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Recognizes all equal-side ticks and distinguishes bearing135 from interior angle.", "correct": "Equilateral angle60 and any stated bearing195/back-bearing15 are correct.", "right_place": "Uses actual triangle/parallel-north constraints to advance the marked angle.", "right_amount": "Forming and solving the single local angle equation 45°+x=60° is a defensible next key operation. Its result 15° is permitted. Unlike the other candidate, it adds no separate coordinate-closure verification after obtaining that result." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "addb36ae07dc8332612d", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "unverifiable", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Silently inserts decimals and a within1 00 comparison that are not clearly written.", "correct": "The spacing/dot in the handwritten final length does not securely settle 25 versus 2.5. A supported proportional setup exists, but that reading affects the accuracy award and the claimed completed comparison. Do not certify either the low-credit or full-credit interpretation by inferring the desired decimal.", "right_place": "Assesses ingredient constraints and final length.", "right_amount": "Explains the earned process and withheld later points with localized reading uncertainty." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "activeSeconds": 6.52, "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "1921c6e93aa721a382a0", "time": "2026-10-30T08:50:42.015Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims capacity never used and no division performed despite visible3÷2.", "correct": "The alleged omitted capacity step is present, so its procedural-cause claim is unsupported.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "Provides category, supported mismatch and limitation without unnecessary solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T08:50:42.015Z" } }, { "action": "save-assessment", "responseId": "51587631b0cd61bb1d8b", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category boundaries are not uniquely determined by the fragment.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Correctly distinguishes visible valid comparisons from supplied C;A.", "correct": "The chosen smallest fraction C contradicts the student’s own 4/11<5/11. Logical inconsistency is a defensible observed-error classification; the response expressly does not claim a known hidden cause.", "right_place": "Targets the first supported mismatch in the submitted answer.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "e968694630cbc39e8daa", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The two same-denominator comparisons and converted fractions are read faithfully. Whether an ineffective bridge should count as an originating error is a mathematical/target issue, not an invented visual inscription.", "correct": "Comparing 5/11 and 4/13 is valid; incomplete comparisons do not establish the alleged procedural error.", "right_place": "Replaces the supported inconsistent C choice with an invented earlier error.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "fe24c57968c44625fbaa", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Duplicated output fields.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The response reads the actual comparisons and conversions accurately. Its inferred strategy/cause should be checked under the diagnosis criteria rather than automatically treated as a misread symbol.", "correct": "A valid but incomplete comparison is not an invalid step; the asserted misconception and causal path to selecting C are unsupported.", "right_place": "Diagnoses an invented bridge error instead of the supported inconsistent answer.", "right_amount": "R3 repeats the same category/diagnosis, but the answer remains unambiguous. No fixed limit and no separate replacement solution; no material Q4 failure established. R1/R2 include category, location/cause and limits." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "ef6368fd87273d75ff7d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "496e5b7cbba89d246b0b", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "ccf2bbbe41a982d658f0", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The long-division detail is rough; the stated numerical dependency is sound.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads the setup, 66 subtotal and13.2 result.", "correct": "74−9=65;66÷5=13.2 is a valid downstream numerical result, making Calculation Error defensible.", "right_place": "Locates the subtraction before the erroneous final answer.", "right_amount": "All three locate/explain/classify the subtraction error. Corrective 74−9 and propagated division are directly needed diagnostic evidence, not an unrelated replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "d506be0080c6ed94626e", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Reference also overlooks the earlier omission.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "correct": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_place": "The short strokes before 63 in the rearranged line do not securely settle whether a minus is present; a later line clearly has −6x=−3. Because that glyph decides whether the first defect is transposition or later division, the response’s exact reading and earliest-error claim cannot be confirmed.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "375fb451fd8a1e76bb3b", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest error diagnosis itself is supported.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Although it reads63+60 correctly, it invents a subsequent−6x=3; image shows−6x=−3.", "correct": "63+60 is123, not+3; describing the later steps as merely carrying this error forward is mathematically false.", "right_place": "An earlier dropped sign versus a later division error depends on the unclear strokes before 63. Neither the reference nor the later −3 authorises silently choosing an earlier reading.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "4d1983b6a7461f0dc219", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Does not explicitly flag reference conflict; its diagnosis nevertheless clearly supplies the earlier error.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "correct": "A stationary−63 must retain its sign; procedural sign handling is a defensible diagnosis.", "right_place": "The claim that the rearranged right side definitely lacks a minus cannot be established from the short overlapping strokes. That same ambiguity prevents confirming its earliest-error location.", "right_amount": "All three contain category, location and sign explanation; wrong reading/chronology is Q1/Q2/Q3 rather than a missing Q4 function. Quoting student steps is diagnostic." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "8a5010ebe2c4b8093bd9", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It acknowledges that the scratch denominator/operator is ambiguous. The final fractions and that fragment are not visually misquoted; the false requirement to reduce belongs to the correctness and target judgments.", "correct": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_place": "25/45=5/9 and 21/24=7/8. The actual question supplies no simplest-form condition, so calling these equivalent answers an originating mathematical error or a knowledge gap imports an extra requirement from the reference.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "035cccea1ada183a9465", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Calculation Error is a provisional fit for a conditionally false equality; its cause remains unknown.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Localizes ambiguity in8/28=13/24 instead of silently replacing the relation.", "correct": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_place": "It makes the false-equality claim conditional on an ambiguous glyph, gives valid cross-multiplication, and explicitly explains that the final fractions are equivalent without a simplest-form requirement. Flagging that source limitation is relevant.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "ca88938353ed376f94aa", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The response appropriately notes equivalent final fractions; category cause is overconfident.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "correct": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_place": "The lone fragment does not securely distinguish an equality from an addition mark or 28 from a malformed 24. A definite wrong-denominator/operator diagnosis, its category, and its earliest position therefore cannot be confirmed; the equivalent final fractions do not settle those strokes.", "right_amount": "All three provide category and a specific explanation including equivalence/ambiguity. Their incorrect asserted simplest-form requirement is not by itself an omitted function or excess solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "714b92e106ce2c91df05", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads11 as12 and22 as24, then infers an unwritten9×9 operation.", "correct": "Declares the visibly wrong perimeter computation valid and assigns an unsupported conceptual cause.", "right_place": "Skips the visible earliest addition error in favor of a hidden area step.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "e46eb3ca9b16295aba48", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads11 subtotal and22 perimeter faithfully.", "correct": "9+3=12, not11; Calculation Error fits the visible invalid addition.", "right_place": "Identifies addition before doubling and does not invent how81 arose.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "5bbebcbee767646d1a39", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently changes visible22 to24 and declares the perimeter line correct.", "correct": "The claimed correct computation contradicts9+3=11 and the written22.", "right_place": "Misses the supported addition error and diagnoses a missing later procedure.", "right_amount": "R1/R3 reproduce a correction from perimeter to square area while diagnosing the claimed missing procedure; these few supporting calculations directly explain the alleged mismatch. Their invented work is handled by Q1/Q2/Q3, not automatically Q4." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "d54536086286189ec02c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is defensible for use of an insufficient bound as the full condition; the inequality alone is a true necessary condition.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "The weak bound allows39 people and5 final boxes; stricter condition needsx>39, while other bound givesx≤43.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "fdb5772a8c7340d52e64", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual modeling category is defensible without inferring persistent beliefs.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "5x+38<6x is too weak for a last share below five; the strict condition is 5x+38<6(x−1)+5. Describing this as a conceptual modelling error is defensible even though Problem Comprehension could also describe it.", "right_place": "Targets the missing strict last-share restriction and acknowledges unshown maximum derivation.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "489f546f138ba8f2c237", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Logical reasoning category appropriately distinguishes necessary from sufficient conditions.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the two inequalities and supplied39,40 answer.", "correct": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_place": "At x=39 the final person receives five boxes, violating the strict limit. The response correctly identifies the missing condition and does not falsely call the necessary inequality algebraically invalid; the image does not show how the maximum was obtained.", "right_amount": "All three explain weak bound and downstream/concurrent maximum uncertainty; corrected inequality/minimum demonstrate the diagnosed boundary, without solving unrelated work." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "634f8a74f44a65024ca1", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Left-right chronology is not independently established, but both multiplication setups instantiate the same supported issue.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Grounds the diagnosis in visible×1.2 and×0.8 and the given selling price240.", "correct": "Cost is selling price divided by1.2 or0.8; conceptual percentage-base diagnosis is sound.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "34f9d5c5fa8497c98855", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It accurately records the visible 24/2.4 multiplication entries and notices the scale inconsistency. Its claim that all such discrepancies follow from the percentage-base error is checked under Q2 rather than counted again as invented handwriting.", "correct": "A percentage-base mistake does not imply the independent decimal inconsistencies: 2.4×0.8=1.92, not 19.2. The response incorrectly treats those later discrepancies as mathematically consistent downstream consequences.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "620321fd144c3a431b70", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core inverse-percentage diagnosis remains correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "correct": "It silently interprets 2.4/24/240 as compatible scaled forms and endorses all decimal entries as downstream. The written 2.4×0.8 cannot equal 19.2 without an additional error, so that reading and explanation overrepair the work.", "right_place": "Targets the setup preceding the subtraction rather than only final96.", "right_amount": "All three supply category, concrete multiply/divide diagnosis and explanation. No final cost/profit solution is carried out." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "dc080ef86b6c49b964e3", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "eaf6716c7e76cc9ea682", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Careful wording says625 is consistent with five segments rather than claiming125×5 is written.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads six marks and the5 segment count without silently repairing lower work.", "correct": "Six cuts yield seven pieces;625 is consistent with125×5, and conceptual count category is defensible.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "ab807e7acb5f2cd5ad29", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest count error is nevertheless correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "correct": "The lower vertical multiplication visibly has 125 in its multiplier row, not an unambiguous 5. The response replaces it with 125×5 and certifies that written arithmetic as correct, silently repairing a separate visible defect.", "right_place": "Locates the count before the resulting wrong length.", "right_amount": "All three explain cuts/segments and downstream125×5. Correct segment count is diagnostic; none computes full correct length and conversion as a replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "c7b6b44b7982dc87ccee", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Problem comprehension is a plausible provisional category; exact cognitive cause is not observed.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "The base sum must be 28−2×5=18; using 24 explains the wrong area. Problem Comprehension is a defensible category for that observed quantity mismatch even though the unwritten source of 24 cannot be recovered.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "241f4b4c98d1f2e26d77", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It labels the sub-step inferred, yet overstates what that inference demonstrates.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "correct": "It distinguishes the visible 24 from the inferred possibility 28−4 and explicitly says that subtraction is not written. The correct base sum and downstream arithmetic are valid; a conceptual perimeter mismatch is a defensible classification, not proof of a persistent belief.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "1515b9b403432def575c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Procedural omission/incorrect preliminary value is defensible; it does not require a unique hidden arithmetic cause.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately reads24,96 and48 and distinguishes absent derivation.", "correct": "Using the wrong base sum within an otherwise correct area procedure supports a procedural-error interpretation. The response clearly acknowledges the unshown derivation; a different defensible category is not automatically incorrect.", "right_place": "Targets the earliest visible wrong input24.", "right_amount": "All three identify the incorrect24 base sum and required18 with cause/limits. Correcting the diagnosed quantity is permitted; none computes new full area solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "8b84357dc86dcef66b0c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "9fbefbb140c106b765d2", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "2d4363e1c2faffb48be6", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both diagrams, equations and supplied70or80.", "correct": "80 is the left vertex; its base is50. Right70 is correct; procedural or detail categories are defensible.", "right_place": "Targets variable-to-requested-angle conversion after valid algebra.", "right_amount": "All three specify variable/angle mismatch and its corrective50°. Necessary short conversion is diagnostic; the valid second case is acknowledged without extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "e9d9c8b45fa3eddf7d4d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Silently replaces the final m² chain with m and infers an omitted second-case reasoning failure from an incomplete fragment.", "correct": "Missing shown derivation of a correct supplied second answer is not an established mathematical error; the final chain is not internally correct.", "right_place": "Misses the visible square/root equality and diagnoses missing work instead.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "da512cb376b8f6669e26", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the final chained equality with m² retained.", "correct": "27/50 is not its square root; changing to m is required. Procedural Error fits this operation.", "right_place": "Locates the actual invalid transformation after correct algebra.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "645a9f85e6a3322af3ef", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The visible final chain keeps m² on the left before equating it to a square-root expression. The response describes this as a line giving m=±3√150/50 and calls the preceding work sound, silently replacing the written left-hand quantity.", "correct": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_place": "The problem does not require a simplified radical, and 3√150/50=3√6/10. Calling that equivalence a Calculation Error invents a condition, while the written chain m²=27/50=±3√150/50 contains an actual earlier invalid equality.", "right_amount": "All three supply category, claimed error location and explanation/limits. Repeated algebra and second-case condition/value inR1 support its diagnosis; no full second-case working. Wrong root-chain/simplification claims are other criteria." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "57b8089051ec0646f9f7", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "990e5226e02137bcf522", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Numeric value was obtained” is imprecise, but the response immediately explains the represented decimal differs from the required percentage.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 differs from10.58%; omission of required notation is a defensible detail/procedural/conceptual category fit.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "b5693ebc2eb773ce255c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Category describes notation knowledge application, without explicitly asserting a persistent misconception.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the missing% on10.58 and the correct20.08.", "correct": "10.58 is not 10.58%. Explaining the omitted percent notation and its changed meaning supports a conceptual-notation classification of the observed response; this need not establish a persistent learner belief.", "right_place": "Targets the first entry rather than inventing an error in20.08.", "right_amount": "All three provide the omitted% diagnosis/category and distinguish correct second answer. No omitted Q4 function." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "6d3bc219236acda19a0d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Derived” overstates the visible recalled formula, but does not alter the supported diagnosis. Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "7c762708b400c8a8bedb", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims the visible formula lacks a minus even though a short minus is present between b² and4ac.", "correct": "The lower written formula visibly contains b²−4ac. A diagnosis that specifically says the minus is absent there misclassifies an expression that is correctly written, regardless of omissions elsewhere.", "right_place": "Moves the error into an earlier correct formula instead of the supplied typed second root.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "017b506707cd960491d9", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead distinguishes two locations: the lower formula contains a short minus, but the upper equality has no operator between b² and4ac on its left. Worker overlooked that separate visible mismatch; its causal/temporal relation to the typed omission is not established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "correct": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_place": "The upper scratch line itself writes b²4ac=b²−4ac, whereas the lower quadratic formula does contain its minus. Declaring all scratchwork error-free and locating the first omission only in the submitted second root overlooks that earlier visible malformed equality.", "right_amount": "All three provide category and specific sign/radicand explanation. Disagreement about actual location is other criteria; formula quotation supports diagnosis." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "772caffb5927d92d8ea0", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Source conflict prevents a definite cross-source chronology.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Explicitly separates recorded−16 from uncertainty in visible first and last terms.", "correct": "Dropped decimal in the supplied answer is a valid transcription mismatch, and its mathematical explanation is correct.", "right_place": "The typed first term −16 conflicts with the image’s visible decimal; the final sign is also unclear. The supplied evidence has no priority rule that settles which sequence determines the earliest error.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "06b69bd82e937db4ba41", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "Insists the image reads−16 despite a decimal point between1 and6, and treats final term as correct despite missing inner minus.", "correct": "It certifies all remaining conversions as intact despite the image’s last term appearing +(3.1), not +(−3.1). The typed-answer interpretation cannot erase that conflicting written sign.", "right_place": "The typed first-term copying error and the image’s apparent final-term sign error point to different earliest defects. The response chooses the former without resolving that evidence conflict.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "84c593d955c2835e44f0", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "It reports the apparent +(3.1), the visible −1.6 and the conflicting typed −16, rather than silently rewriting one source to agree with the other.", "correct": "Subtracting3.1 must become adding−3.1; a procedural sign diagnosis is defensible.", "right_place": "The candidate flags the image/typed-answer conflict, but which error is earliest remains unresolved because the sources disagree and no precedence convention is supplied.", "right_amount": "All three supply category, particular term/sign diagnosis and evidence limitations/conflicts. No unsupported format-only failure." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "7c2c98a9007f6edb8904", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "It says final step is unwritten; proposed termwise sign slip is a direct comparison of answers.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "b484cb6b941f232ea778", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Core sign mismatch is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "correct": "The image correctly reduces the original nested-negative expression to 4−5√3, while the reported opposite is 4+5√3. Explaining that an additive inverse must negate both terms is correct and a conceptual-operation classification is defensible without asserting persistent misunderstanding.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "c138ea32d4601e029de7", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads both valid visible lines and distinguishes the supplied final answer.", "correct": "The additive inverse is−4+5√3; sign-calculation category is defensible without needing a persistent belief.", "right_place": "Targets final constant-sign mismatch and does not invent an earlier invalid line.", "right_amount": "All three give category, observed-valid simplification, faulty final inverse and explanation. A short corrected negation is the required explanation, not an unrelated full replacement solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "34434a2a7711d6792064", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Accurately quotes the expansion with+12 rather than−12.", "correct": "−6×2=−12; distribution/procedural diagnosis is supported.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "9eb8be9a7a71bdc3abf4", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "fe87dfbf4017c4ad3d49", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Earliest+12 diagnosis is sound; later missing-minus reading merits lead check.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "correct": "Both responses claim every later line is consistent with the +12 error, but the image subsequently writes −x=27 and then x=27. That additional sign loss is not a valid downstream consequence and cannot be silently changed to −x=−27.", "right_place": "Locates the first supported sign error at expansion.", "right_amount": "All three locate/explain/classify distribution sign; downstream discussion may be wrong but is not missing. No full correct equation solution is executed beyond comparison to supplied answer." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "33dcc0d4a18d17d9b951", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Required category is explicitly non-substantiated; this respects the seven-choice constraint while explaining evidence.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "5/70=1/14, so no mathematical error is supported; mandatory category can be accompanied by explicit limitation.", "right_place": "5/70=1/14, and the actual task has no lowest-terms condition. Identifying the unsupported error premise is relevant; the reference’s chosen simplification cannot create a mathematical error.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "aecb71b2bf800905fcce", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_place": "The product 5/10×1/7=5/70 is correct and defines the same bound as 1/14. Without a simplest-form requirement, classifying this equivalence as a Calculation Error invents an originating defect.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "17aa8b13521b4a36474c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The explanation calls simplification a deviation from expected form rather than denying mathematical equivalence. The category is weakly supported, but the substantive source-conflict diagnosis is defensible.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Reads the valid inequalities and unsimplified5/70 faithfully.", "correct": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_place": "Although it correctly states 5/70=1/14, it still classifies the omitted reduction as the supported error/deviation under Category 7. The actual question does not require lowest terms. Reference-form mismatch cannot supply the earliest mathematical error requested by this task.", "right_amount": "All three supply category and equivalence/conflict explanation. R1 explicitly states no supported error, allowed when premise conflicts. Wrong simplification requirement inR2/R3 is assessed under Q2/Q3, not content absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "3ad55aeb3477f0bcc144", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Decimal ambiguity acknowledged; its statement of half-distance in kilometers is supported by the supplied answer.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "c1c60d201eb0cc89fe26", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "b2f01760a6b755167c96", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "“Failing to register” is an interpretation of the unit mismatch, not evidence of a persistent learner belief.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads product4.896 and supplied2.448, separating absent final work.", "correct": "2.448km=2448m; units mismatch is correctly diagnosed and selected category is a plausible fit.", "right_place": "Targets required meters and preserves valid round-trip arithmetic.", "right_amount": "All three supply category, units diagnosis and short scale correction. Direct conversion demonstrating the factor1000 error is required supporting explanation." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "9316348b5f60bc92775e", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Misreads the first plus sign as minus and asserts an initial miscopy.", "correct": "The first written polynomial has +2x²; the later combined expression changes it to −2x². The response instead locates a copying error in the initial line and says the later combination is correct, which reverses the visible sequence.", "right_place": "Locates error in the wrong line instead of the change during simplification.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "721f1a4e287415b1ac89", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "119deaf549c52655fc90", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads+2x² first and−2x² second faithfully.", "correct": "Combiningx⁴ terms does not alter thex² sign; calculation/detail diagnosis is defensible.", "right_place": "Targets earliest visible sign change between the two lines.", "right_amount": "All three supply category, precise sign location and reason. Mislocated copying claim inR1 is other criteria, not independent insufficiency." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "493ef436e749126bc70d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Calls first rewrite correct while omitting its exterior s²t factor.", "correct": "First expression is not equivalent to the quotient because of the extra outside factor.", "right_place": "Selects later25→75 while missing the earlier exterior-factor mismatch.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "6af0fd737adcb076c67e", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": " Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully identifies first exterior s²t and later prefactor, with final-answer limitation.", "correct": "Original s² cancels andt³/t=t²; exterior s²t is unjustified and first equality invalid.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "35c273b10a4d0837009d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Its diagnosis of the unjustified s² factor and correct reciprocal mathematics are nevertheless valid. Lead adjudication: Lead also rejects response3’s mathematical endorsement of a downstream chain; its individual radical rules are correct, but those rules do not justify the displayed later equalities.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "correct": "The first root bar spans the numeric reciprocal factor that the response places outside it. Later the exterior variable factor disappears and a denominator changes 25→75; those independent changes are not all justified downstream consequences of its proposed first rewrite.", "right_place": "Targets the first supported mismatch instead of only a later denominator.", "right_amount": "All three explain an asserted earliest radical mismatch and limits. Correct cancellation/extraction supplied is local diagnostic support; none derives a full replacement chain to final expression." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "cec6c8e9530374f7293e", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It faithfully reports the 47+55 subtotal and the different 104 in the product, explicitly noting that inconsistency. Whether the missing −2 can be established as the first procedural error is a diagnosis issue; no written term is silently changed.", "correct": "A correct intermediate addition is not an invalid procedural step; omitted−2 alone would yield102, not104.", "right_place": "Selects a valid subtotal as earliest error instead of the unsupported104 factor.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "4567730c3df79820c61c", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "34422dfdc7a7c120c7be", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Acknowledges exact addition of2 is not shown; sign/term slip is an appropriately bounded interpretation of104.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads102 and104 and separates the absent intervening operation.", "correct": "Combined factor should102−2=100;104 has effect of adding2, while104×74=7696 is correct.", "right_place": "Locates mismatch at use of104, preserving valid subtotal addition.", "right_amount": "All three supply category, factor/sign issue and limits. Showing correct combined100 is needed diagnostic contrast, not unrequested full multiplication." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "0afe3a0f16c44c87cef6", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "54500dafbc902c1f0a7b", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Conceptual category is reasonable for interpreting the remainder, although the cognitive cause is not uniquely established.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Faithfully reads40,36,remainder4 and supplied6.", "correct": "Six blankets seat36, so remaining4 require seventh; interpretation-of-remainder category fits.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "f48a75cdbe03a0b3ffa2", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "Final-answer mismatch is correctly identified.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "correct": "The division gives six full groups and four pigs remaining, while the answer is six. Describing the observed failure to interpret the remainder against the seating requirement is a defensible comprehension diagnosis, not a claim of a persistent hidden belief.", "right_place": "Targets final blanket interpretation after valid division.", "right_amount": "All three explain quotient/remainder and extra blanket; the final number is the immediate content of explaining that error, not an unrelated extra solution." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "89f12db7305980680c0d", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "No decimal point is clear in quotient16, but decimal continuation makes1.6 plausible; lower168 is the more definite invalid computation.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "pass", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "correct": "33×6=198, not168; Calculation Error is the supported category for that product.", "right_place": "The middle product glyph can be read as 168 or 198. The response qualifies that reading, but it determines whether a multiplication error precedes the definite one-decimal answer 1.7; its earliest location cannot be certified.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "7e95de29a00a91919c60", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "unverifiable", "correct": "unverifiable", "right_place": "unverifiable", "right_amount": "pass" }, "reasons": { "reads": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "correct": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_place": "The final 1.7 violates the two-decimal requirement, but the lower product glyph is not secure enough to assert there is no earlier multiplication error. Its exclusion of an earlier computational breakdown remains unresolved.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "52d7825482c4843bfeab", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "The wrong-precision observation itself is correct.", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "correct": "Rounding1.666…to1.7 uses tenths rather than required hundredths; detail diagnosis of that later error is mathematically defensible.", "right_place": "It explicitly says the lower work is unclear and uses the unambiguous submitted 1.7 to diagnose the precision mismatch. Without a securely readable earlier product error, this qualified localization is defensible.", "right_amount": "All three supply category, error location and mathematical explanation. Ambiguous product/rounding claims are other criteria, not independent Q4 absence." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "8c0f9e2c02e5839f1f52", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "The separate (6m+7)x=0 is visibly present. Whether it is an invalid transformation or a condition imposed for infinitely many solutions is a mathematical/sequence interpretation, not a misread inscription.", "correct": "Under infinitely many solutions the right side must be0; writing(6m+7)x=0 is compatible, not intrinsically invalid.", "right_place": "For infinitely many solutions, imposing the necessary zero constant is compatible with the problem. The separate top-right line is not proof of an earlier invalid replacement or nonzero coefficient, so that alleged first error is unsupported.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "67db2efe41982fff16ce", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "correct": "The zero-right-side statement is a valid necessary condition for infinitely many solutions, although incomplete alone.", "right_place": "It asserts that the unseen route to m=n=0 follows from an unconditional replacement by zero. No such derivation or chronology is shown; the separate condition can be legitimate, so the invented causal/earliest-error account is unsupported.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "ffa6cf4be194ec030b18", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Distinguishes valid rearrangement, separate compatible condition and unshown submitted-values derivation.", "correct": "Withm=n=0,7x=0 has one solution; identity needs coefficient and constant zero.", "right_place": "Targets supported final-values error and acknowledges earliest transformation cannot be located.", "right_amount": "All three supply category, parameter-condition explanation and source limitations. Conditions are diagnostic; none fully solves the parameter system." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "c724e12ab78cab9049b6", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Says no division by2, ignoring top-right3÷2 with quotient1.", "correct": "Claim the student never uses capacity and simply solves total tonnage is contradicted by visible division.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "1921c6e93aa721a382a0", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "fail", "correct": "fail", "right_place": "fail", "right_amount": "pass" }, "reasons": { "reads": "Claims capacity never used and no division performed despite visible3÷2.", "correct": "The alleged omitted capacity step is present, so its procedural-cause claim is unsupported.", "right_place": "A small 2-into-3 division with quotient 1 is visible beside the correct total 3 t. Saying the student never uses the capacity or performs no division invents an omission; the source only supports an unexplained wrong final minimum, not that asserted missing step.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } }, { "action": "save-assessment", "responseId": "d3ca1bc629932b13c628", "time": "2026-10-30T09:50:01.931403Z", "snapshot": { "assessmentLayout": "q1-q4-only-v1", "optionalNotes": "", "componentRatings": {}, "componentScale": "component-correctness-v1", "criteria": { "reads": "pass", "correct": "pass", "right_place": "pass", "right_amount": "pass" }, "reasons": { "reads": "Reads total, conversion and begun3÷2 with quotient1.", "correct": "Two trips carry3 tons at2 tons per trip;3 trips is not minimum.", "right_place": "Targets final minimum conclusion and acknowledges its derivation absent.", "right_amount": "All three supply category, trip-count interpretation and supporting capacity calculation. Wrong omission claim inR1/R2 is other criteria; R3 correctly states unavailable cause. No independent Q4 defect established." }, "flags": {}, "issueNotes": {}, "history": [], "deliveryStatus": "response_delivered", "completedAt": "2026-10-30T09:50:01.931403Z" } } ], "cursor": { "caseId": "MED-02", "responseId": "8f8c99b3299a5e510d51", "stage": 2 }, "created": "2026-10-28T19:23:12.654Z", "exportedAt": "2026-10-30T09:50:01.931403Z" }