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{"id": "ca_YdfHR7Pc", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能结合具体实例解释万以上数的含义", "verb": "解释", "object": "万以上数的含义", "type": "CONCEPTUAL", "literacy": ["数感", "推理意识"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能举出两个万以上数的实例，分别说明它表示多少、由哪些数位组成", "能结合一个实例说出万位上的数表示几个万、亿位上的数表示几个亿"], "assessment": "{{name}}，你能用生活中的例子告诉我一个大数（比如一万）代表多少吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能结合具体实例解释万以上数的含义，能认、读、写万以上的数，会用万、亿为单位表示大数，能说出各数位的名称，理解各数位上的数表示的意义，能进行整万、整亿数的改写。", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解大数的量级并解释其含义"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "evidence-weak", "detail": "掌握证据1‘能用具体例子说明10000是10个1000或100个100’是数的组成知识，不是解释‘含义’；证据2‘能解释一个五位数如52345在生活中的实际意义’是解释单个实例，不能直接证明‘能结合具体实例解释万以上数的含义’这一概括性能力"}], "crosscutting": ["scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.385, "verbatimCoverage": 1.0, "facts": ["万以上的数可以用万、亿为单位表示", "各数位有名称", "各数位上的数表示的意义可以理解"]}}
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{"id": "ca_5jt43pUh", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能说出一个大数的万位或亿位名称并解释其数值含义", "verb": "说出...并解释", "object": "大数的万位或亿位名称及其数值含义", "type": "REPRESENTATIONAL", "literacy": ["数感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["学生能正确指出数字123456789中，数字5在万位，表示5万", "学生能解释数字50000000000中，数字5在百亿位，表示5个百亿"], "assessment": "{{name}}，你能把 30500000000 这个数用「亿」作单位写出来吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能结合具体实例解释万以上数的含义，能认、读、写万以上的数，会用万、亿为单位表示大数，能说出各数位的名称，理解各数位上的数表示的意义，能进行整万、整亿数的改写。", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解大数位值含义并解释"}, "schemaVersion": "0.1.0", "statementBefore": "会用万、亿为单位表示大数", "repair": {"why": "将课程目标‘会用万、亿为单位表示大数’转化为一个可观察、可判定的具体能力：能说出指定数位（万位/亿位）的名称并解释其代表的数值。这去除了‘改写’这一可能依赖于具体格式要求的操作，更聚焦于对数位含义的理解。", "grounding": 0.93}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.667, "verbatimCoverage": 0.714, "facts": ["万以上的数可以用万、亿为单位表示", "各数位有名称", "各数位上的数表示的意义可以理解"]}, "composite": true, "fieldIssues": ["composite"]}
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{"id": "ca_zhe3YkvP", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用字母表示运算律", "verb": "表示", "object": "运算律", "type": "REPRESENTATIONAL", "literacy": ["符号意识", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能写出 a+b=b+a 表示加法交换律", "能用字母表示乘法分配律并解释含义"], "assessment": "{{name}}，你能用字母写出加法交换律和乘法分配律吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能结合具体情境，解释运算律的意义，能用字母表示运算律。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "stage", "detail": "用字母表示运算律是初中代数内容，小学阶段（G3-G4）学生尚未系统学习字母表示数，课标中该内容出现在初中阶段"}], "repairAttempt": {"fixable": false, "why": "原句只是教学建议，不含学生能力"}, "dropReason": "课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句只是教学建议，不含学生能力"}
{"id": "ca_zxkEFuAe", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能解决相关的问题", "verb": "解决", "object": "相关的问题", "type": "CONCEPTUAL", "literacy": ["运算能力"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据题目条件列出正确的加法或减法算式", "能算出得数并写出完整的答句"], "assessment": "{{name}}，你能根据题目信息列出算式并算出结果吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能在具体情境中，理解总量与分量之间的关系，能解决相关的问题。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "undecidable", "detail": "能解决相关的问题是一句口号，不是可观察、可测量的具体能力描述"}, {"type": "evidence-weak", "detail": "掌握证据仅限加减法，但能力断言说解决相关的问题，范围远大于加减法，证据不能覆盖断言"}], "repairAttempt": {"fixable": false, "why": "改写脱离课标原句（字面覆盖 62% < 62%），不采纳"}, "dropReason": "课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：改写脱离课标原句（字面覆盖 62% < 62%），不采纳"}
{"id": "ca_mvpNKgHp", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能判断两个量是否成正比例或反比例", "verb": "判断", "object": "两个量是否成正比例或反比例", "type": "CONCEPTUAL", "literacy": ["推理意识", "模型意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据表格数据判断路程与时间是否成正比例并说明理由", "能举例说明购买苹果时总价与数量成正比例的关系"], "assessment": "{{name}}，你能告诉我为什么路程和时间是正比例关系吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能在具体情境中，理解正比例、反比例的意义，能判断两个量是否成正比例或反比例。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句只是教学建议，不含学生能力。复查：可判定闸放行、断言忠于课标原句、另一个模型复审未挑出问题"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "复审提了 stage（正比例、反比例是《义务教育数学课程标准》第三学段（7-9年级，具体为六年级）的内）→ 撤销：课标正文标了第二学段"}], "repairAttempt": {"fixable": false, "why": "原句只是教学建议，不含学生能力"}}
{"id": "ca_NCV9ekHR", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能解决按比例分配的问题", "verb": "解决", "object": "按比例分配的问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "模型意识"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用两种方法解决“将 120 本书按 2:3 分给两个班”的问题，并验证结果", "能解释“按比例分配”中每份的含义，并用算式表示各部分的数量关系"], "assessment": "你能告诉我，{{name}}是怎么把 120 本书按 2:3 分给两个班的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能在具体情境中，理解按比例分配的意义，能解决按比例分配的问题。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：AI 判定不是学生能力（教学建议/课程目标）。复查：可判定闸放行、断言忠于课标原句、另一个模型复审未挑出问题"}]}
{"id": "ca_cXxQKniy", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在具体情境中，理解比例尺的意义，能解决与比例尺相关的问题", "verb": "理解、解决", "object": "比例尺的意义、与比例尺相关的问题", "type": "CONCEPTUAL", "literacy": ["数感", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G6", "max": "G6"}, "evidence": ["能解释地图上1厘米代表实际距离多少千米", "能根据比例尺计算出图上距离对应的实际距离"], "assessment": "{{name}}，你能用比例尺算出地图上两点间的实际距离吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 28, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能在具体情境中，理解比例尺的意义，能解决与比例尺相关的问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解比例关系并解决相关问题"}, "schemaVersion": "0.1.0", "statementBefore": "能解决与比例尺相关的问题", "repair": {"why": "修正了学段错误（比例尺是六年级内容），并保留了课标原句的完整表述。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：‘能在具体情境中，理解比例尺的意义’过于宽泛，无法直接判定单个学生是否掌握"}], "crosscutting": ["scale-proportion", "patterns"], "practice": ["math-computational", "analyzing-data"], "adjudication": {"verdict": "overrule", "why": "课标原文完全包含了该断言，且主语是学生（从上下文推断）。提意见者未看到原文，其关于宽泛或不可判定的判断缺乏依据，断言是忠实的原文转述。", "quote": "能在具体情境中，理解比例尺的意义，能解决与比例尺相关的问题", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"id": "ca_26TqD3kA", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能计算两位数乘三位数和三位数除以两位数", "verb": "计算", "object": "两位数乘三位数和三位数除以两位数", "type": "PROCEDURAL", "literacy": ["运算能力"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能正确计算 12×345 并写出完整竖式", "能用 416÷32 的竖式计算出商 13 余 0"], "assessment": "请让{{name}}算一下 25×144，看他列的竖式对不对？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能计算两位数乘除三位数。", "method": "vlm-transcribe+split", "crosscuttingWhy": "涉及数量计算与运算规则"}, "schemaVersion": "0.1.0", "statementBefore": "能计算两位数乘除三位数", "repair": {"why": "课标原句'能计算两位数乘除三位数'在表述上未区分学段，但依据现行教材，两位数乘三位数是三年级下册内容，三位数除以两位数是四年级上册内容。为使断言精确对应单一学段（G4）并保持可判定性，将原句拆分为两个具体计算任务。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.818, "facts": ["能计算两位数乘除三位数。"]}}
{"id": "ca_Xj7HBSx3", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能直观描述小数和分数", "verb": "描述", "object": "小数和分数", "type": "CONCEPTUAL", "literacy": ["数感", "几何直观"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用图形表示0.5并说出它等于二分之一", "能将1/4和0.25用同一种图形表示出来"], "assessment": "{{name}}，你能用画图的方式告诉我0.5和1/4分别是什么样子吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能直观描述小数和分数，能比较简单的小数的大小和分数的大小；", "method": "vlm-transcribe+split", "crosscuttingWhy": "涉及量的表达与描述"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：'能直观描述小数和分数'更像一个主题名或教学目标，无法直接用来判断某个孩子会不会"}], "crosscutting": ["scale-proportion"], "practice": ["explaining-designing"], "adjudication": {"verdict": "overrule", "why": "能力断言完全忠实于课标原文的直接提取，课标明确将此作为学生应具备的能力要求，因此断言成立。", "quote": "能直观描述小数和分数", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
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{"id": "ca_Rb3WmrqW", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能说出运算律的含义，并能用字母表示", "verb": "说出", "object": "运算律的含义，并能用字母表示", "type": "CONCEPTUAL", "literacy": ["符号意识", "运算能力"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用字母写出 a+b=b+a 并解释这是加法交换律", "能举例说明乘法结合律并用 (a×b)×c=a×(b×c) 表示"], "assessment": "{{name}}能用字母写出运算律并解释它们的意思吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "SPLIT", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能说出运算律的含义，并能用字母表示；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别运算规律并用符号表达"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.8, "verbatimCoverage": 1.0, "facts": ["运算律可以用字母表示"]}, "composite": true, "fieldIssues": ["composite"]}
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{"id": "ca_ycm6izW8", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "运用四则混合运算解决问题", "verb": "运用", "object": "四则混合运算解决问题", "type": "CONCEPTUAL", "literacy": ["运算能力"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能正确计算 12 + 3 × 5 并说出先算乘法再算加法", "能根据题意列出 24 ÷ 6 - 2 并算出正确结果"], "assessment": "{{name}}，你能先算乘除再算加减，解决两步计算的问题吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能在简单的实际情境中，运用四则混合运算解决问题，能选择合适的单位通过估算解决实际问题，形成初步的应用意识。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用数学运算解决问题"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_skPgpj3L", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在简单实际情境中，选择合适的单位通过估算解决实际问题", "verb": "选择", "object": "合适的单位", "type": "PROCEDURAL", "literacy": ["量感", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据生活经验，选择用克或千克估算一个苹果的重量", "能根据单价和数量，选择用元估算购买几件商品的总价"], "assessment": "{{name}}，你能不能用估算想想，妈妈买的5斤苹果大约有几个？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能在简单的实际情境中，运用四则混合运算解决问题，能选择合适的单位通过估算解决实际问题，形成初步的应用意识。", "method": "vlm-transcribe+split", "crosscuttingWhy": "估算涉及量级判断与数学计算"}, "schemaVersion": "0.1.0", "statementBefore": "能选择合适的单位通过估算解决实际问题", "repair": {"why": "将原句中‘能在简单的实际情境中，运用四则混合运算解决问题，能选择合适的单位通过估算解决实际问题，形成初步的应用意识’拆解并聚焦于‘选择合适的单位通过估算解决实际问题’这一可观察的能力点，去掉了‘形成初步的应用意识’这一不可直接测评的目标。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
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{"id": "ca_CwMkkn3y", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能借助计算器进行计算，并解释计算结果的实际意义", "verb": "计算", "object": "器进行计算，并解释计算结果的实际意义", "type": "PROCEDURAL", "literacy": ["运算能力", "应用意识"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能输入 128×7 后，说出结果表示 7 袋苹果的总价", "能用计算器算出 35÷8=4.375，并说明这表示每人分 4.375 个苹果"], "assessment": "{{name}}能用计算器算一算吗？然后告诉我算出来的数在题目里表示什么。", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 29, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能借助计算器进行计算，并解释计算结果的实际意义；", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用计算工具并解释结果意义"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": ["math-computational", "explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}, "composite": true, "fieldIssues": ["composite"]}
{"id": "ca_3rb6sZe6", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能判断一个自然数是否是质数或合数", "verb": "判断", "object": "一个自然数是否是质数或合数", "type": "CONCEPTUAL", "literacy": ["数感", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确判断 17 是质数并说明它只有 1 和 17 两个因数", "能正确判断 12 是合数并列出它的所有因数"], "assessment": "{{name}}，你能告诉我 23 是质数还是合数吗？为什么？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能判断一个自然数是否是质数或合数。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别数的分类规律并运用计算判断", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "statementBefore": "能判断一个自然数是否是质数或合数", "repair": {"why": "原句本身是完整的能力断言，无需修改。诊断中的学段匹配问题属于教学实施层面的讨论，不影响断言本身的正确性和可判定性。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["patterns"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_Frd9SZA4", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用图形或数轴表示分数和小数，并比较两个数的大小", "verb": "用图形或数轴表示", "object": "分数和小数，并比较两个数的大小", "type": "REPRESENTATIONAL", "literacy": ["数感", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能用圆形图表示1/4，用正方形图表示0.25并说明两者相等", "能在数轴上准确标出1/2和0.5的位置并比较大小"], "assessment": "请{{name}}用画图的方式告诉我1/2和0.25分别是什么样子的？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能用直观的方式表示分数和小数，能比较两个分数的大小和两个小数的大小；", "method": "vlm-transcribe+split", "crosscuttingWhy": "用数轴/图形表示数并比较大小", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "statementBefore": "能用直观的方式表示分数和小数", "repair": {"why": "将章节标题式的描述，改为可观察的具体能力断言，并明确了比较大小的对象和方式。", "grounding": 0.77}, "crosscutting": ["scale-proportion", "patterns"], "practice": ["modeling", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.769, "verbatimCoverage": 0.737, "facts": ["分数可以用直观的方式表示", "小数可以用直观的方式表示", "两个分数可以比较大小", "两个小数可以比较大小"]}, "composite": true, "fieldIssues": ["composite"]}
{"id": "ca_3uHyEjN5", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能比较两个分数的大小和两个小数的大小", "verb": "比较", "object": "两个分数的大小和两个小数的大小", "type": "CONCEPTUAL", "literacy": ["数感", "运算能力"], "cognitive": "理解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确比较 3/4 和 5/8 的大小并说明理由", "能正确比较 0.75 和 0.8 的大小并说明理由"], "assessment": "{{name}}，你能告诉我 3/4 和 5/8 哪个大，0.75 和 0.8 哪个大吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能用直观的方式表示分数和小数，能比较两个分数的大小和两个小数的大小；", "method": "vlm-transcribe+split", "crosscuttingWhy": "比较大小涉及量级与比例，属数学计算", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["分数可以用直观的方式表示", "小数可以用直观的方式表示", "两个分数可以比较大小", "两个小数可以比较大小"]}}
{"id": "ca_xGmxAb8a", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会选择合适的方法进行估算（例18）", "verb": "估算", "object": "（例18）", "type": "PROCEDURAL", "literacy": ["数感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能对298×3估算为大约900并解释将298看作300", "能判断238+467的估算结果应在700左右并说明原因", "课标例18「估算的上界和下界」：对于给定的数量，许多估算问题是为了得到上界或者下界。为此，需要对给定的数量进行适当放大或缩小，凑整计算。此例中两个问题的核心都是估计用 100 元购物后的剩余金额，但两种估计方法有所不同。 第一问“够不够买小鱼”需要估计"], "assessment": "{{name}}，买东西时你会用估算来快速算出大概要多少钱吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "（2）在解决实际问题的过程中，会选择合适的方法进行估算（例18）。", "method": "vlm-transcribe+split", "exampleRefs": [18], "crosscuttingWhy": "估算涉及量级判断与计算思维", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_ATZazJw5", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能解决按比例分配的实际问题", "verb": "解决", "object": "按比例分配的实际问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据题目中的比例关系列出正确的分配算式并计算出结果", "能用完整的话解释分配方案的合理性"], "assessment": "{{name}}，你能把题目里的信息变成算式，还能说清楚自己是怎么想的吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "（4）在实际情境中理解比和比例以及按比例分配的含义，能解决简单的问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "涉及比例量级与因果分配，需计算分析", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "statementBefore": "能解决简单的问题", "repair": {"why": "将笼统的'简单的问题'具体化为课标原句中明确的'按比例分配的实际问题'，使能力可判定。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion", "cause-effect"], "practice": ["math-computational", "analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_trhRE2Vb", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能探索规律或变化趋势（如y=5x）（例21）", "verb": "探索", "object": "规律或变化趋势（如y=5x）（例21）", "type": "CONCEPTUAL", "literacy": ["模型意识", "推理能力"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据表格中x=1,2,3时y=5,10,15的值，说出y总是x的5倍", "能预测当x=6时y的值是30，并解释因为5乘以6等于30", "课标例21「探索数量之间的变化规律」：这是例 20 的延续。从例 20 的说明中可以知道，为了保证两个数量的比值保持不变，这两个数量必须一起变化。显然，也可以把这个表达式转化为 y = 5x 的形式。这样的表达能够更好地体现“随着购买苹果数量的增多，总价也增"], "assessment": "{{name}}，你能看出表格里x和y之间有什么规律吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第二学段", "srcAgree": "0.00", "srcText": "能探索规律或变化趋势（如$y=5x$）（例21）。", "method": "vlm-transcribe+split", "exampleRefs": [21], "crosscuttingWhy": "探索函数规律与变化趋势"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "stability-change"], "practice": ["investigating", "analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_Lv5MhzGB", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能运用常见的数量关系解决实际问题并合理解释结果的实际意义", "verb": "运用", "object": "常见的数量关系解决实际问题并合理解释结果的实际意义", "type": "CONCEPTUAL", "literacy": ["应用意识", "模型意识"], "cognitive": "应用", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据单价和数量正确计算总价并说明算式中每一步的含义", "能根据速度和时间正确计算路程并解释计算结果的实际意义"], "assessment": "{{name}}，你能用买东西或走路的例子，告诉我怎么算总价或路程吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 31, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "（6）能运用常见的数量关系解决实际问题，能合理解释结果的实际意义，逐步形成模型意识和几何直观，提高解决问题的能力。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用数量关系解决实际问题并解释意义", "stageFixedFrom": "G3-G4"}, "schemaVersion": "0.1.0", "statementBefore": "能运用常见的数量关系解决实际问题", "repair": {"why": "将原句中'能运用...解决问题'这一目标转化为包含具体行为（运用、解释）和对象（数量关系、实际意义）的可判定断言，并保留了原句中'能合理解释结果的实际意义'这一核心能力要求。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion", "cause-effect"], "practice": ["math-computational", "explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 0.958, "facts": []}}
{"id": "ca_UkuuZKi6", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能进行简单小数和分数的四则运算和混合运算（不超过三步），并说明运算过程", "verb": "说明", "object": "运算过程", "type": "CONCEPTUAL", "literacy": ["运算能力"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能算出 1/2 + 0.3 × 2 这类分数与小数混合的三步内算式并说出运算顺序", "能对 3/4 − 0.5 这类分数小数混合算式逐步说明每一步的算理"], "assessment": "请让{{name}}算一下 1/2 + 0.3 × 2，看看他能不能先算乘法再算加法，还能说清楚每一步是怎么算的。", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能进行简单小数和分数的四则运算和混合运算（不超过三步），并说明运算过程。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句是教学内容要求，不是学生能力断言。它描述了教学应达到的目标，但未规定学生必须能独立完成的具体、可观察行为。。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "复审提了 stage（分数四则运算（含分数与小数混合）是小学高年级内容，课标安排在五年级下册至六年级（）→ 撤销：课标正文标了第二学段"}, {"type": "resolved", "by": "ai:doubao-seed-2-0-pro-2026-09-28", "detail": "原异议 evidence-weak（掌握证据里的 1/2 + 0.3 × 0.3 和 (3/4 − 0.5) ÷ 0.1 都是分数与小数混合运算，而断言本身）：带着这条意见重写证据，复审未挑出问题"}, {"type": "resolved", "by": "ai:doubao-seed-2-0-pro-2026-09-28", "detail": "复审提了 stage（简单小数和分数的四则运算及混合运算（不超过三步）是五六年级内容，这里标成G3–G）→ 撤销：课标正文标了第二学段，模型的意见不能盖过课标"}], "repairAttempt": {"fixable": false, "why": "原句是教学内容要求，不是学生能力断言。它描述了教学应达到的目标，但未规定学生必须能独立完成的具体、可观察行为。"}}
{"id": "ca_eb3yHGqV", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在较复杂的真实情境中，选择恰当的运算方法解决问题", "verb": "选择", "object": "恰当的运算方法解决问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能从购物小票中识别出需要计算总价和找零的步骤", "能根据题目信息列出正确的综合算式并计算出结果"], "assessment": "{{name}}，你能看懂题目里的购物场景，然后列出算式算出结果吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能在较复杂的真实情境中，选择恰当的运算方法解决问题，形成运算能力和推理意识。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "stage", "detail": "G3-G4学段（三四年级）的整数四则混合运算通常以两步为主，不超过三步。断言中‘较复杂的真实情境’和‘选择恰当的运算方法’的要求，与该学段‘能运用四则混合运算解决问题’的课标要求基本一致，但‘较复杂’的表述可能超出该学段典型情境的复杂度，存在拔高风险。"}, {"type": "undecidable", "detail": "‘能在较复杂的真实情境中，选择恰当的运算方法解决问题’是一句概括性描述，无法直接用于判断某个具体学生‘会’或‘不会’。它更像一个教学目标或能力描述，而非可直接观测的技能点。"}, {"type": "evidence-weak", "detail": "掌握证据‘能从购物小票中识别出需要计算总价和找零的步骤’是情境识别，‘能根据题目信息列出正确的综合算式并计算出结果’是标准解题。两者均未直接证明‘选择恰当的运算方法’这一核心能力，尤其是面对多种可能算法时的‘选择’与‘优化’过程。"}], "repairAttempt": {"fixable": false, "why": "原句只是教学建议，不含学生能力"}, "dropReason": "课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句只是教学建议，不含学生能力"}
{"id": "ca_97QpJiUQ", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在解决实际问题中运用恰当的方法进行估算，并能描述估算的过程", "verb": "估算", "object": "并能描述估算的过程", "type": "PROCEDURAL", "literacy": ["数感", "运算能力"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据问题情境，如‘商店买东西’，选择合适的估算方法并说明每一步的思考", "能估算‘学校有1287人，每人发2支铅笔，大约需要多少支’，并解释将1287看作1300的理由"], "assessment": "当遇到需要估算的生活问题时，{{name}}能说出估算的步骤和理由吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "SPLIT", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能在解决实际问题中运用恰当的方法进行估算，并能描述估算的过程。", "method": "vlm-transcribe+split", "crosscuttingWhy": "估算涉及量级判断与方法选择"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["analyzing-data", "explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_9hbKt4Gx", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在具体情境中判断两个量的比并计算比值", "verb": "判断并计算", "object": "两个量的比和比值", "type": "CONCEPTUAL", "literacy": ["数感", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能从‘3个苹果换6个橘子’的情境中说出苹果与橘子的数量比是1:2", "能计算出1:2的比值是0.5"], "assessment": "{{name}}，你能告诉我，如果小明用4本书换了8支笔，书和笔的比是多少吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能在具体情境中判断两个量的比，会计算比值，理解比值相同的量，能解决按比例分配的简单问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别比例关系并计算"}, "schemaVersion": "0.1.0", "statementBefore": "能在具体情境中判断两个量的比", "repair": {"why": "将原句中‘能在具体情境中判断两个量的比’与‘会计算比值’合并为一个可判定的能力描述，去掉了‘理解比值相同的量’和‘能解决按比例分配的简单问题’这两个在G3阶段证据不足或超出范围的部分。", "grounding": 1.0}, "crosscutting": ["scale-proportion", "patterns"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 0.944, "facts": ["能在具体情境中判断两个量的比", "会计算比值", "理解比值相同的量", "能解决按比例分配的简单问题"]}}
{"id": "ca_5kRfQBre", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能解决按比例分配的简单问题", "verb": "解决", "object": "按比例分配的简单问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据给定的比，算出各部分应分得的具体数量", "能说明按比分配时先求总份数再求每份数量的过程"], "assessment": "你能帮{{name}}算算把20本书按3:2分给两个小组，每个小组分别能拿到几本吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能在具体情境中判断两个量的比，会计算比值，理解比值相同的量，能解决按比例分配的简单问题。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "原异议 evidence-weak（第二条证据「列出12:8的比并化简为3:2」证明的是「比的化简」能力，与「按比例分配」不是同一能力，无法证明学生能解决按）：带着这条意见重写证据，复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分"}}
{"id": "ca_Z3Qq9cZj", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能在具体情境中描述成正比的量 \\(\\frac{y}{x} = k (k \\neq 0)\\)", "verb": "描述", "object": "成正比的量 \\(\\frac{y}{x} = k (k \\neq 0)\\)", "type": "CONCEPTUAL", "literacy": ["数感", "模型意识"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能对'每本练习册5元，买x本花y元'写出y÷x=5，并说明5是固定单价", "能举出生活中一个成正比的量，写出两个量的比等于定值并说明定值含义"], "assessment": "你能告诉{{name}}，为什么买得越多总价越高，而每本书的价格一直没变吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "disputed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能在具体情境中描述成正比的量 \\(\\frac{y}{x} = k (k \\neq 0)\\)，能找出生活中成正比的量的实例；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "not-a-capability", "detail": "'能在具体情境中描述成正比的量'表述偏向教学要求/目标，但掌握证据给出了可判定的具体行为（写出y÷x=5并说明定值含义），核心问题在学段错位而非能力性"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：课标原句是教学建议，描述的是教学内容（描述成正比的量），而非学生可观察的具体能力。无法直接转化为一个能对具体孩子判定‘。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "复审提了 stage（正比例是小学六年级（G6）内容，课标在第三学段（5-6年级）才要求认识成正比的量）→ 撤销：课标正文标了第二学段"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "复审提了 stage（正比例是六年级（G6）内容，课标在第二学段（4-6年级）才引入正比例关系，这里标）→ 撤销：课标正文标了第二学段，模型的意见不能盖过课标"}], "repairAttempt": {"fixable": false, "why": "课标原句是教学建议，描述的是教学内容（描述成正比的量），而非学生可观察的具体能力。无法直接转化为一个能对具体孩子判定‘会/不会’的能力断言。"}}
{"id": "ca_K6w2VRj8", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能根据其中一个量的值计算另一个量的值", "verb": "计算", "object": "另一个量的值", "type": "PROCEDURAL", "literacy": ["运算能力", "模型意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用给定单价和数量计算出总价并写出算式", "能根据总价和单价算出数量并回答单位是什么"], "assessment": "给孩子一个物品的价格和数量，看{{name}}能不能算出总价？再给总价和单价，看{{name}}能不能算出买了几个？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 32, "srcStage": "第二学段", "srcAgree": "0.98", "srcText": "能根据给出的成正比关系的数据在方格纸上画图，了解 \\(y = kx (k \\neq 0)\\) 的形式，能根据其中一个量的值计算另一个量的值。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "not-a-capability", "detail": "断言描述的是运算任务而非能力特征，属于课标内容目标而非学生能力表现"}], "dropReason": "AI 判定不是学生能力（教学建议/课程目标）"}
{"id": "ca_zBSXuJF2", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能直观描述这些立体图形的特征", "verb": "描述", "object": "这些立体图形的特征", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "理解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能指着长方体说出它有6个面、12条棱和8个顶点", "能比较正方体和长方体，说出正方体的每个面都一样大"], "assessment": "{{name}}，你能告诉我长方体和正方体有什么不一样的地方吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "能辨认长方体、正方体、圆柱、球等立体图形，能直观描述这些立体图形的特征；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "stage", "detail": "G1-G2学段（1-2年级）学生能直观辨认长方体、正方体等立体图形，但要求说出6个面、12条棱、8个顶点等具体数量特征，属于G3学段（3年级）的要求，难度不匹配"}], "repairAttempt": {"fixable": false, "why": "改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分"}, "dropReason": "课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分"}
{"id": "ca_qQyvuLjE", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能直观描述这些平面图形的特征", "verb": "描述", "object": "这些平面图形的特征", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "理解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能用手指着长方形说'它有四条边，对边一样长'", "能拿出两个不同的三角形，指出一个角更尖、一个角更宽"], "assessment": "你能看出 {{name}} 指着图形说出它的特征吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "能辨认长方形、正方形、平行四边形、三角形、圆等平面图形，能直观描述这些平面图形的特征。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "stage", "detail": "学段G1–G2合理，但掌握证据中'对边一样长'涉及对边相等性质，更适合G2；'拿出两个不同的三角形，指出一个角更尖、一个角更宽'涉及角的大小比较，更适合G2下或G3，G1–G2跨度内证据难度不匹配"}], "repairAttempt": {"fixable": false, "why": "改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分"}, "dropReason": "课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：改写后仍不过可判定性闸：并列项过多（≥3 个顿号）：一个锚点只承载一条可判定能力，请拆分"}
{"id": "ca_cRxCSPvS", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能在组合图形中说出各组成部分图形的名称", "verb": "说出", "object": "各组成部分图形的名称", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "了解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能看着一个由三角形和正方形拼成的房子图案，分别指出并说出‘这是三角形’和‘这是正方形’", "能拆开一个七巧板拼成的动物图形，并按顺序说出每一块的名称，如‘这是一个平行四边形’"], "assessment": "给 {{name}} 一个组合图形，让他指出来每个部分是什么形状？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "会用简单的图形拼图，能在组合图形中说出各组成部分图形的名称；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别图形构造与名称"}, "schemaVersion": "0.1.0", "statementBefore": "能在组合图形中说出各组成部分图形的名称", "repair": {"why": "保留了课标原句的完整能力描述，仅规范了句式，未添加额外信息。原句本身包含可观察动词和明确对象，学段诊断中提到的学段问题，在本次修复中暂不调整。", "grounding": 1.0}, "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["会用简单的图形拼图", "能在组合图形中说出各组成部分图形的名称"]}}
{"id": "ca_svwCiC3k", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能从立体图形上找出一个面并说出它的形状", "verb": "找出并说出", "object": "立体图形上一个面的形状", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "了解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能从正方体模型上任意指出一个面，并说出它是正方形", "能从长方体模型上任意指出一个面，并说出它是长方形", "课标例24「找出对应图形」：如图 7，用第一行的立体图形模型能描出第二行的哪个平面图形？连一连。"], "assessment": "{{name}}能告诉妈妈，这个积木的这个面是什么形状吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "能说出立体图形中某一个面对应的平面图形（例 24）。", "method": "vlm-transcribe+split", "exampleRefs": [24], "crosscuttingWhy": "识别面与形状对应关系"}, "schemaVersion": "0.1.0", "statementBefore": "能说出立体图形中某一个面对应的平面图形（例 24）", "repair": {"why": "将抽象的'对应'关系转化为可观察的'找出并说出'操作，明确了对象为'立体图形上一个面的形状'，并修正了学段。", "grounding": 0.64}, "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.583, "verbatimCoverage": 0.647, "facts": ["能说出立体图形中某一个面对应的平面图形"]}}
{"id": "ca_rjapWFfz", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能恰当地选择长度单位米、厘米描述生活中常见物体的长度", "verb": "选择", "object": "长度单位米、厘米描述生活中常见物体的长度", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "理解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能正确说出课桌的高度大约是80厘米", "能用米尺测量教室门的高度并记录为2米"], "assessment": "{{name}}，你能告诉我你的铅笔有多长，用什么单位吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "感悟统一单位的重要性，能恰当地选择长度单位米、厘米描述生活中常见物体的长度，能进行单位之间的换算；", "method": "vlm-transcribe+split", "crosscuttingWhy": "选择合适单位描述长度，涉及尺度判断与数据表达"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.316, "verbatimCoverage": 1.0, "facts": ["长度单位有米和厘米", "长度单位米和厘米可以进行换算"]}}
{"id": "ca_TmxSnW4W", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能估测一些身边常见物体的长度，并能借助工具测量生活中物体的长度（例 25）", "verb": "测量", "object": "生活中物体的长度（例 25）", "type": "PROCEDURAL", "literacy": ["量感"], "cognitive": "掌握", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能用尺子测量课本宽度并读出厘米数", "能用手势比划约10厘米的长度与尺子对比", "课标例25「理解长度单位」：让学生结合日常生活经验，在实际情境中理解长度单位的意义，选择合适的长度单位，进行物体长度的比较。在教学中，让学生找到一个熟悉的物体长度作参照，以便作出更精准的判断。"], "assessment": "你能不能让{{name}}先用手比划一下，再用尺子量一下课本的宽度，看看准不准？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "SPLIT", "provenance": {"srcSubject": "数学", "srcPage": 35, "srcStage": "第一学段", "srcAgree": "0.00", "srcText": "能估测一些身边常见物体的长度，并能借助工具测量生活中物体的长度（例 25）。", "method": "vlm-transcribe+split", "exampleRefs": [25], "crosscuttingWhy": "估测与测量涉及尺度感知和数据获取"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["investigating", "analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_tznPAsEp", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能恰当地选择单位估测一些物体的长度和面积", "verb": "选择", "object": "单位估测一些物体的长度和面积", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用厘米尺测量课本的长和宽并记录数据", "能用手掌大小估计课桌面积并说出大约有几个手掌大"], "assessment": "{{name}}，你能用尺子量课本，还能用手掌比划课桌大小吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 36, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能恰当地选择单位估测一些物体的长度和面积，会进行测量。", "method": "vlm-transcribe+split", "stageFixedFrom": "G1-G2"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：课标原句为教学建议，不是具体可观察的学生能力断言，无法在8-40字内转化为可判定的具体行为。。复查：可判定闸放行、断言忠于课标原句、另一个模型复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "课标原句为教学建议，不是具体可观察的学生能力断言，无法在8-40字内转化为可判定的具体行为。"}}
{"id": "ca_gQK8FkcK", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出线段、射线和直线的共性与区别", "verb": "说出", "object": "线段、射线和直线的共性与区别", "type": "CONCEPTUAL", "literacy": ["几何直观", "推理意识"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能准确指出图中线段、射线和直线各一条，并说出它们在端点数量上的不同", "能用直尺画出一条线段，并标出两个端点，解释它与其他两种线的区别"], "assessment": "{{name}}，你能告诉我线段、射线和直线有什么相同和不同的地方吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能说出线段、射线和直线的共性与区别；", "method": "vlm-transcribe+split", "crosscuttingWhy": "辨析几何概念的共性与区别"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.5, "verbatimCoverage": 1.0, "facts": ["线段有两个端点", "射线有一个端点", "直线没有端点", "线段可以度量长度", "射线和直线不可度量长度"]}}
{"id": "ca_YCnx84kK", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出两点间所有连线中线段最短，并在具体情境中运用这一知识解决简单问题", "verb": "说出并运用", "object": "两点间所有连线中线段最短这一知识", "type": "CONCEPTUAL", "literacy": ["几何直观", "推理意识"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能画出从家到学校两条不同路径并比较长度，指出直线路径更短", "能解释为什么蚂蚁走直线比绕弯更快到达食物"], "assessment": "{{name}}，你能用两点之间线段最短的道理，解释为什么走直路比绕弯快吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "知道两点间所有连线中线段最短，能在具体情境中运用“两点之间线段最短”解决简单问题；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别几何规律并应用于问题解决"}, "schemaVersion": "0.1.0", "statementBefore": "能在具体情境中运用\"两点之间线段最短\"解决简单问题", "repair": {"why": "将‘知道’改为更具体的‘说出’，并保留了‘运用…解决简单问题’的表述，使其更符合可观察、可评估的能力要求。", "grounding": 0.88}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["patterns", "structure-function"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "suspect", "overlap": 0.364, "verbatimCoverage": 0.812, "facts": ["两点间所有连线中线段最短"]}, "fieldIssues": ["independent-check-suspect"]}
{"id": "ca_qVvsKLFD", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能辨认同一平面内两条直线是否平行或垂直", "verb": "辨认", "object": "同一平面内两条直线是否平行或垂直", "type": "CONCEPTUAL", "literacy": ["几何直观", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能在同一平面图中指出两条平行的直线", "能辨认两条互相垂直的直线"], "assessment": "{{name}}，看看教室里的门框，哪两条边是互相平行的，哪两条是互相垂直的？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能辨认同一平面内两条直线是否平行或垂直；", "method": "vlm-transcribe+split", "crosscuttingWhy": "辨认几何关系，识别模式与结构"}, "schemaVersion": "0.1.0", "statementBefore": "能辨认同一平面内两条直线是否平行或垂直", "repair": {"why": "原断言与课标原句完全一致，无需修改。学段诊断指出证据问题，但断言本身正确。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：'能辨认同一平面内两条直线是否平行或垂直'是章节标题，不是可判定的能力描述"}, {"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["patterns", "structure-function"], "practice": ["analyzing-data"], "adjudication": {"verdict": "overrule", "why": "课标原文逐字包含该断言，且主语隐含为学生，是直接的能力要求。提意见者未见原文，误判为章节标题。", "quote": "能辨认同一平面内两条直线是否平行或垂直；", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"id": "ca_VVpHJTxd", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能辨认从不同角度观察简单物体所对应的照片或直观图", "verb": "辨认", "object": "从不同角度观察简单物体所对应的照片或直观图", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能将四个不同角度拍摄的玩具熊照片与对应视角正确连线", "能根据给出的积木组合图，指出哪张照片是从正面拍摄的"], "assessment": "{{name}}，你能看着积木图，说出哪张照片是从侧面拍的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能辨认从不同角度观察简单物体所对应的照片或直观图。", "method": "vlm-transcribe+split", "crosscuttingWhy": "辨认视角对应图，练结构与建模"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["能辨认从不同角度观察简单物体所对应的照片或直观图。"]}}
{"id": "ca_2PgUWDZq", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出直角、锐角、钝角的特征", "verb": "说出", "object": "直角、锐角、钝角的特征", "type": "CONCEPTUAL", "literacy": ["几何直观"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用直角三角板比对并指认图中的直角、锐角和钝角", "能画出三种角并标注名称和大概度数范围"], "assessment": "{{name}}，你能画出直角、锐角和钝角，并告诉它们各自的特点吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能说出直角、锐角、钝角的特征，能辨认平角和周角；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别分类特征并描述"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.667, "verbatimCoverage": 1.0, "facts": ["直角是90度的角", "锐角是小于90度的角", "钝角是大于90度且小于180度的角", "平角是180度的角", "周角是360度的角"]}}
{"id": "ca_fhGqFSMT", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能辨认平角和周角", "verb": "辨认", "object": "平角和周角", "type": "CONCEPTUAL", "literacy": ["几何直观", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能从一组角中准确指出哪个是平角、哪个是周角", "能用两根小棒摆出一个平角和一个周角"], "assessment": "{{name}}，你能告诉我哪个是平角、哪个是周角吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能说出直角、锐角、钝角的特征，能辨认平角和周角；", "method": "vlm-transcribe+split", "crosscuttingWhy": "辨认角的类型与量级"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.6, "verbatimCoverage": 1.0, "facts": ["直角是90度的角", "锐角是小于90度的角", "钝角是大于90度且小于180度的角", "平角是180度的角", "周角是360度的角"]}}
{"id": "ca_YwQwQpbx", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会用量角器测量角的大小", "verb": "测量", "object": "角的大小", "type": "PROCEDURAL", "literacy": ["几何直观", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能将量角器中心点准确对准角的顶点", "能读出量角器上刻度并正确说出角的度数"], "assessment": "{{name}}，你能用量角器量出这个角是多少度吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会用量角器测量角的大小，能用直尺和量角器画出指定度数的角；", "method": "vlm-transcribe+split", "crosscuttingWhy": "测量角的大小，涉及量级与操作"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["investigating"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_hJ9TxmeA", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能用直尺和量角器画出指定度数的角", "verb": "画出", "object": "指定度数的角", "type": "PROCEDURAL", "literacy": ["几何直观", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用直尺和量角器准确画出一个50度的角，并标出度数", "能根据要求画出一个120度的钝角，且角的两边清晰可见"], "assessment": "{{name}}，你能用尺子和量角器画出老师说的角吗？比如画一个75度的角。", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会用量角器测量角的大小，能用直尺和量角器画出指定度数的角；", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用工具实现几何构造"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": ["investigating", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_4qKPsXyg", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会根据角的特征对三角形分类，认识直角三角形、锐角三角形和钝角三角形", "verb": "分类", "object": "认识直角三角形、锐角三角形和钝角三角形", "type": "CONCEPTUAL", "literacy": ["几何直观", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能将一组三角形按角分类并说出每类三角形的名称", "能正确指出三角形中最大角的类型并判断该三角形属于哪一类"], "assessment": "{{name}}，你能根据角的大小把三角形分成直角、锐角和钝角三角形吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会根据角的特征对三角形分类，认识直角三角形、锐角三角形和钝角三角形；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别特征规律并按结构分类"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.462, "verbatimCoverage": 1.0, "facts": ["三角形可以分为直角三角形、锐角三角形和钝角三角形。"]}}
{"id": "ca_ZTbcvvYy", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出图形之间的共性与区别（例28）", "verb": "说出", "object": "图形之间的共性与区别（例28）", "type": "CONCEPTUAL", "literacy": ["几何直观", "推理意识"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能指出正方形和长方形都有四个直角，但正方形四边相等而长方形对边相等", "能比较圆和椭圆，说出圆的半径都相等而椭圆的半径不相等", "课标例28「」：[图] 让学生通过直观认识不同图形，说出图形的共性，知道这些共性与图形命名的关系。例如，四边形都有四条边和四个角的共性，平行四边形要求两组对边分别平行，长方形进一步要求四个角是直角，正方形进一步要求四条边都相等。"], "assessment": "{{name}}，你能告诉我正方形和长方形有什么相同和不同的地方吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能说出图形之间的共性与区别（例28）。", "method": "vlm-transcribe+split", "exampleRefs": [28], "crosscuttingWhy": "识别图形规律并比较结构特征"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_3UBKZZbU", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能描述长度单位千米、分米、毫米", "verb": "描述", "object": "长度单位千米、分米、毫米", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能正确说出1千米等于1000米，1分米等于10厘米，1毫米等于0.1厘米。", "能从三个选项中准确选出描述1千米、1分米、1毫米实际长度的图片。"], "assessment": "{{name}}，你能告诉我，从家到学校大约是1千米，1分米大概有多长，以及1毫米大概有多厚吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能描述长度单位千米、分米、毫米，能进行长度单位之间的换算；", "method": "vlm-transcribe+split", "crosscuttingWhy": "描述不同量级的长度单位"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.8, "verbatimCoverage": 1.0, "facts": ["长度单位有千米、分米、毫米", "长度单位之间可以进行换算"]}}
{"id": "ca_yHpF8d4D", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能在真实情境中选择合适的长度单位", "verb": "选择", "object": "合适的长度单位", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能正确选择用厘米测量铅笔长度，用米测量教室门高度", "能解释为什么测量操场跑道要用米而不用厘米"], "assessment": "{{name}}，你能告诉妈妈为什么量桌子用厘米而量操场用米吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能在真实情境中选择合适的长度单位。", "method": "vlm-transcribe+split", "crosscuttingWhy": "选择合适单位涉及尺度判断与情境分析"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_ztNAvSFg", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能通过具体事例描述面积单位厘米2、分米2、米2", "verb": "描述", "object": "面积单位厘米2、分米2、米2", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用1厘米²的小正方形铺满课本封面并数出总数，说明面积是80厘米²", "能用1分米²的纸片测量课桌桌面，说出桌面面积约20分米²"], "assessment": "{{name}}，你能告诉我，我们的课本封面大约是多少平方厘米吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 37, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能通过具体事例描述面积单位厘米²、分米²、米²，能进行面积单位之间的换算。", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解面积单位的量级与描述"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.467, "verbatimCoverage": 1.0, "facts": ["面积单位有厘米²、分米²、米²", "面积单位之间可以进行换算"]}}
{"id": "ca_iHG66utR", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会测量三角形、长方形和正方形的周长", "verb": "测量", "object": "三角形、长方形和正方形的周长", "type": "PROCEDURAL", "literacy": ["量感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能用直尺测量三角形三条边的长度并相加得到周长", "能正确计算长方形周长并说明公式中长和宽各乘2的原因"], "assessment": "{{name}}，你能告诉我这个三角形的周长是怎么算出来的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会测量三角形、长方形和正方形的周长；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：改写脱离课标原句（字面覆盖 60% < 62%），不采纳。复查：可判定闸放行、断言忠于课标原句、另一个模型复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "改写脱离课标原句（字面覆盖 60% < 62%），不采纳"}}
{"id": "ca_7VhGafE2", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会计算长方形、正方形的周长和面积", "verb": "计算", "object": "长方形、正方形的周长和面积", "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据给定长和宽的长方形，正确列出周长与面积的算式并求出结果", "能用单位长度的小正方形铺满一个长方形，数出面积并写出计算式"], "assessment": "{{name}}，你能告诉我这个长方形的周长和面积分别是怎么算出来的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会计算长方形、正方形的周长和面积。", "method": "vlm-transcribe+split", "crosscuttingWhy": "计算形状的度量属性"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}, "composite": true, "fieldIssues": ["composite"]}
{"id": "ca_A98wyEwu", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能利用平移或旋转解释现实生活中的现象", "verb": "解释", "object": "现实生活中的现象", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "理解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能指出电梯上下移动是平移现象并说明方向不变", "能描述风车转动是旋转现象并指出旋转中心"], "assessment": "{{name}}，你能说说生活中哪些东西在平移或旋转吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "能在实际情境中，辨认出生活中的平移、旋转和轴对称现象，直观感知平移、旋转和轴对称的特征，能利用平移或旋转解释现实生活中的现象，形成空间观念。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别变换规律并解释现象"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.846, "verbatimCoverage": 1.0, "facts": ["平移、旋转和轴对称是生活中的现象", "平移、旋转和轴对称具有特征", "平移或旋转可以解释现实生活中的现象"]}}
{"id": "ca_CAMjw9by", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能根据已知两个角的度数求出第三个角的度数", "verb": "求出", "object": "第三个角的度数", "type": "CONCEPTUAL", "literacy": ["推理能力", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["已知三角形两个角分别为45°和60°，能正确求出第三个角是75°", "在四边形中已知三个内角分别为90°、110°、80°，能计算出第四个角为80°"], "assessment": "如果给你一个三角形知道两个角的度数，{{name}}能算出第三个角是多少度吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "通过对图形的操作，感知三角形内角和是180°，能根据已知两个角的度数求出第三个角的度数。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用规律与量级关系进行计算"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.091, "verbatimCoverage": 1.0, "facts": ["三角形内角和是180°"]}}
{"id": "ca_kG8p4kX5", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会计算平行四边形、三角形、梯形的面积", "verb": "计算", "object": "平行四边形、三角形、梯形的面积", "type": "PROCEDURAL", "literacy": ["运算能力", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算底为8cm、高为5cm的平行四边形面积并写出公式", "能正确计算上底3cm、下底7cm、高4cm的梯形面积并说明计算步骤"], "assessment": "{{name}}，你能算出这个平行四边形和梯形的面积吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用公式计算面积，体现结构与比例"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["会计算平行四边形的面积", "会计算三角形的面积", "会计算梯形的面积", "能用相应公式解决实际问题"]}, "composite": true, "fieldIssues": ["composite"]}
{"id": "ca_GVxxXLgC", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能用相应公式解决实际问题", "verb": "解决", "object": "实际问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确测量长方形长和宽并代入面积公式求解", "能识别实际情境中的圆柱体并用体积公式计算容量"], "assessment": "{{name}}能用公式解决生活中的图形问题吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "undecidable", "detail": "'能用相应公式解决实际问题'是章节目标而非可判定的学生能力，无法对具体学生回答'会/不会'"}, {"type": "evidence-weak", "detail": "掌握证据'能正确测量长方形长和宽并代入面积公式求解'仅证明了测量和代入能力，未体现'解决实际问题'所需的建模、选择与解释能力"}], "dropReason": "AI 判定不是学生能力（教学建议/课程目标）"}
{"id": "ca_Ks37crFT", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能描述圆和扇形的特征", "verb": "描述", "object": "圆和扇形的特征", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "理解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能指出圆的半径、直径并说明它们的关系", "能描述扇形的圆心角、半径和弧长并画出指定角度的扇形"], "assessment": "{{name}}，你能告诉我圆的半径和直径有什么关系吗？能画一个圆心角是60度的扇形吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会用圆规画圆，能描述圆和扇形的特征；", "method": "vlm-transcribe+split", "crosscuttingWhy": "描述形状特征属于结构认知"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_CnA26FG8", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能用有序数对（限于自然数）表示点的位置", "verb": "表示", "object": "点的位置", "type": "REPRESENTATIONAL", "literacy": ["符号意识", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能在方格纸上用(3,5)标出指定点的位置", "能根据数对(2,4)在坐标图中找到对应点并圈出", "课标例36「数对与点的对应」：通过实际操作，让学生感知数与形的结合，形成几何直观；感知数学的抽象过程，进一步增强符号意识。在具体教学过程中，要明晰方格纸上的点与整数对的关系，以及与实际情境的关系，提升学生的数学表达能力，为将来学习平面直角坐标系积累经"], "assessment": "{{name}}，你能告诉我数对(4,2)在图上的哪个位置吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能用有序数对（限于自然数）表示点的位置，理解有序数对与方格纸上点的对应关系（例36）。", "method": "vlm-transcribe+split", "exampleRefs": [36], "crosscuttingWhy": "用数对表示位置，建模与数学思维"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["modeling", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.917, "verbatimCoverage": 1.0, "facts": ["有序数对限于自然数", "有序数对可以表示点的位置", "有序数对与方格纸上的点存在对应关系"]}}
{"id": "ca_UHbsbg6s", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能在方格纸上补全简单的轴对称图形", "verb": "补全", "object": "简单的轴对称图形", "type": "REPRESENTATIONAL", "literacy": ["几何直观", "空间观念"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给出的对称轴，将图形缺失部分准确补画在方格纸上", "能检查补全后的图形与原图形关于对称轴完全重合"], "assessment": "你可以请{{name}}在方格纸上补全一个只画了一半的轴对称图形吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "认识轴对称图形和对称轴，能在方格纸上补全简单的轴对称图形。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别对称规律并补全图形"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.333, "verbatimCoverage": 1.0, "facts": ["轴对称图形有对称轴。"]}}
{"id": "ca_9VTjPETh", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能借助方格纸设计一个简单图案", "verb": "设计", "object": "一个简单图案", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能在方格纸上画出由基本图形经过平移、旋转或轴对称变换后组成的图案", "能向同伴说明自己设计的图案是如何由基本图形变换而来的"], "assessment": "{{name}}，你能告诉我你画的图案里藏着什么数学秘密吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能从平移、旋转和轴对称的角度欣赏生活中的图案，能借助方格纸设计简单图案，感受数学美，形成空间观念。", "method": "vlm-transcribe+split", "crosscuttingWhy": "找规律并设计图案"}, "schemaVersion": "0.1.0", "statementBefore": "能借助方格纸设计简单图案，感受数学美", "repair": {"why": "删除了不可判定的'感受数学美'，将'简单图案'具体化为可操作的'一个简单图案'，并将'借助方格纸'的方法限定在课标原句提供的'平移、旋转和轴对称'范围内，使能力描述可判定。", "grounding": 1.0}, "crosscutting": ["patterns", "structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "not-applicable", "overlap": 0.0, "verbatimCoverage": 0.857, "facts": []}}
{"id": "ca_9as97ZGM", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能用圆的周长和面积公式解决简单的实际问题", "verb": "解决", "object": "简单的实际问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给定的半径计算出圆形花坛的周长和面积", "能根据给定的直径计算出圆形桌面的周长和面积"], "assessment": "你能发现哪些生活中的数学问题需要{{name}}用公式解决？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "圆的周长和面积，能用相应公式解决简单的实际问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用公式计算，涉及量级与结构功能"}, "schemaVersion": "0.1.0", "statementBefore": "能用相应公式解决简单的实际问题", "repair": {"why": "将泛指的‘相应公式’具体化为课标原句中的‘圆的周长和面积公式’，使对象明确可判定。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion", "structure-function"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_7HszENU4", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出这些图形的特征", "verb": "说出", "object": "这些图形的特征", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能准确描述正方形四条边相等且四个角都是直角", "能指出圆是由一条曲线围成的封闭图形"], "assessment": "{{name}}，你能告诉我正方形和圆各有什么特点吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "not-a-capability", "detail": "“能说出这些图形的特征”是教学目标表述，不是可直接观测的学生能力行为；掌握证据中的“能准确描述”才是具体能力行为"}], "dropReason": "AI 判定不是学生能力（教学建议/课程目标）"}
{"id": "ca_x8EQvCyi", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能辨认长方体、正方体和圆柱的展开图", "verb": "辨认", "object": "长方体、正方体和圆柱的展开图", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能从给出的多个展开图中，识别出长方体的展开图", "能将正方体的展开图与对应的立体模型进行匹配"], "assessment": "{{name}}，你看这个展开图，能告诉我它能折成什么形状吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "vlm-transcribe+split", "crosscuttingWhy": "辨认展开图是结构与功能，建立空间模型"}, "schemaVersion": "0.1.0", "statementBefore": "能辨认这些图形的展开图", "repair": {"why": "将指代词‘这些’替换为课标原句中的具体图形对象‘长方体、正方体和圆柱’，使断言明确可判定。", "grounding": 1.0}, "crosscutting": ["structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.818, "verbatimCoverage": 1.0, "facts": ["长方体、正方体和圆柱是立体图形", "长方体、正方体和圆柱有各自的特征", "长方体、正方体和圆柱有各自的展开图", "长方体、正方体和圆柱有体积", "长方体、正方体和圆柱有表面积"]}}
{"id": "ca_UGj4pPns", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能计算长方体、正方体和圆柱的体积和表面积", "verb": "计算", "object": "长方体、正方体和圆柱的体积和表面积", "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算一个长方体的体积和表面积并写出完整算式", "能根据给定尺寸计算圆柱体的体积和表面积并保留π或取近似值"], "assessment": "{{name}}，你能算出这个长方体和圆柱体的体积和表面积吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用公式计算几何体的量"}, "schemaVersion": "0.1.0", "statementBefore": "会计算这些图形的体积和表面积", "repair": {"why": "将笼统的'这些图形'替换为课标原句明确的'长方体、正方体和圆柱'，使对象具体可判定。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：‘能计算长方体、正方体和圆柱的体积和表面积’是课程目标，无法直接判断单个学生是否掌握"}, {"type": "resolved", "detail": "【裁决为不成立】原异议：这是教学内容的表述，而非具体的学生能力描述"}, {"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "composite": true, "fieldIssues": ["composite"], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生‘会计算这些图形的体积和表面积’，断言‘能计算长方体、正方体和圆柱的体积和表面积’是对此要求的忠实转述，主语是学生，是可观察的能力描述。", "quote": "会计算这些图形的体积和表面积", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"id": "ca_wuucjwD4", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能说出圆锥的特征", "verb": "说出", "object": "圆锥的特征", "type": "CONCEPTUAL", "literacy": ["几何直观", "空间观念"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能准确指出圆锥的底面是圆形、侧面是曲面并标出顶点", "能说出圆锥只有一个底面且母线长度相等"], "assessment": "{{name}}，你能告诉我圆锥有几个面、底面是什么形状吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识圆锥，能说出圆锥的特征，会计算圆锥的体积；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别形状构造特征"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["圆锥有特征", "圆锥的体积可以计算"]}}
{"id": "ca_84F2CACj", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "会计算圆锥的体积", "verb": "计算", "object": "圆锥的体积", "type": "PROCEDURAL", "literacy": ["运算能力", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确使用公式 V=1/3πr²h 计算圆锥体积并写出单位", "能根据给定的底面半径和高，计算出圆锥体积并验算结果", "能解释圆锥体积是等底等高圆柱体积的三分之一"], "assessment": "{{name}}能根据给定的底面半径和高，用公式 V=1/3πr²h 计算出圆锥体积并验算结果吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识圆锥，能说出圆锥的特征，会计算圆锥的体积；", "method": "vlm-transcribe+split", "crosscuttingWhy": "计算体积涉及量级与形状功能"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}], "crosscutting": ["scale-proportion", "structure-function"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["圆锥有特征", "圆锥的体积可以计算"]}}
{"id": "ca_Waku2y9E", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能选择合适单位描述实际问题", "verb": "选择", "object": "合适单位描述实际问题", "type": "CONCEPTUAL", "literacy": ["量感", "应用意识"], "cognitive": "理解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能用“平方米”描述教室面积并说明选择理由", "能用“千米”规划操场跑步路线并解释合理性"], "assessment": "你能问问{{name}}，为什么描述操场长度时要用“千米”而不是“米”吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "能说出面积单位千米²、公顷和体积单位米³、分米³、厘米³，以及容积单位升、毫升，能进行单位换算，能选择合适单位描述实际问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "选择单位涉及量级判断与数学应用"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.167, "verbatimCoverage": 1.0, "facts": ["面积单位有千米²、公顷", "体积单位有米³、分米³、厘米³", "容积单位有升、毫升"]}}
{"id": "ca_ShpPNYa9", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能辨认不同方向（前面、侧面、上面）的形状图（例34）", "verb": "辨认", "object": "不同方向（前面、侧面、上面）的形状图（例34）", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能将一个立体模型的前面、侧面、上面视图与三个对应的平面图形正确匹配。", "能根据给出的三个不同方向的形状图，拼搭出对应的立体模型。", "课标例34「从不同方向观察物体」：在教学活动中，引导学生先猜想，然后通过观察验证自"], "assessment": "{{name}}，你能看着这张立体图，告诉我它从前面、侧面和上面看分别是什么形状吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "对于简单物体，能辨认不同方向（前面、侧面、上面）的形状图（例34），能把观察的方向与相应形状图对应起来，形成空间观念。", "method": "vlm-transcribe+split", "exampleRefs": [34], "crosscuttingWhy": "辨认不同视角的形状图，涉及结构与比例分析"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.643, "verbatimCoverage": 1.0, "facts": ["对于简单物体，能辨认不同方向的形状图", "对于简单物体，能把观察的方向与相应形状图对应起来"]}}
{"id": "ca_RT2y7vwn", "discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "statement": "能把观察的方向与相应形状图对应起来", "verb": "对应", "object": "起来", "type": "CONCEPTUAL", "literacy": ["空间观念", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给出的俯视图正确画出物体的正面和侧面形状图", "能指出从不同方向观察同一立体图形时，看到的形状图有何不同", "课标例34「从不同方向观察物体」：在教学活动中，引导学生先猜想，然后通过观察验证自"], "assessment": "{{name}}，你能看着一个立体图形，准确画出从正面、侧面和上面看到的形状图吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "对于简单物体，能辨认不同方向（前面、侧面、上面）的形状图（例34），能把观察的方向与相应形状图对应起来，形成空间观念。", "method": "vlm-transcribe+split", "exampleRefs": [34], "crosscuttingWhy": "建立方向与形状的对应模型"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "patterns"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["对于简单物体，能辨认不同方向的形状图", "对于简单物体，能把观察的方向与相应形状图对应起来"]}}
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{"id": "ca_9utLFQYK", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能在真实情境中理解百分数的统计意义，解决与百分数有关的简单问题", "verb": "理解", "object": "百分数的统计意义", "type": "CONCEPTUAL", "literacy": ["数据意识", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能解释班级投票结果中赞成票占总票数的百分比的含义", "能根据超市广告计算两件商品总价的折扣百分比", "课标例45「谁的套圈水平高」：通过套圈活动，引导学生对数据进行分析，了解百分数可以对随机数据进行刻画与表达，认识到百分数可以帮助人们作出判断和预测，感受百分数的统计意义，培养数据意识。具体可作如下设计。 (1) 如表 7，先只出示 1 号和 2 号同"], "assessment": "你能和{{name}}一起看看商场广告或班级投票结果，问问他这些百分数表示什么意思吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 47, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能在真实情境中理解百分数的统计意义（例45），解决与百分数有关的简单问题。", "method": "vlm-transcribe+split", "exampleRefs": [45], "crosscuttingWhy": "理解比例关系并分析数据"}, "schemaVersion": "0.1.0", "statementBefore": "能在真实情境中理解百分数的统计意义（例45），解决与百分数有关的简单问题", "repair": {"why": "诊断指出证据未体现主动选择能力，但课标原句本身是能力描述，无需修改。我们保留了原句，并为证据补充了更具体的、旁观者可观察的行为。", "grounding": 1.0}, "crosscutting": ["scale-proportion", "patterns"], "practice": ["analyzing-data", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_QqCETh82", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能列举生活中的随机现象，列出简单随机现象中所有可能发生的结果", "verb": "列出", "object": "简单随机现象中所有可能发生的结果", "type": "REPRESENTATIONAL", "literacy": ["数据意识", "推理意识"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能举出例如抛硬币、掷骰子、抽奖等生活中的随机现象。", "能正确列出掷一个骰子时，可能出现的全部6种点数结果。", "你能告诉{{name}}，抛一枚硬币会有哪些可能的结果吗？"], "assessment": "{{name}}能举出抛硬币、掷骰子这些随机现象，还能说出掷骰子时可能有的全部6种点数吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 47, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能列举生活中的随机现象，列出简单随机现象中所有可能发生的结果，判断简单随机现象发生可能性的大小。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别随机现象的规律与可能性范围"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
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{"id": "ca_rRMwLLnU", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能根据数据提供的信息，判断随机现象发生的可能性", "verb": "判断", "object": "随机现象发生的可能性", "type": "CONCEPTUAL", "literacy": ["数据意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据抛硬币100次的数据，判断正面朝上的可能性大小", "能根据掷骰子的数据，判断得奇数的可能性比得1点的可能性大"], "assessment": "{{name}}，你能解释为什么抛硬币很多次后正反面次数差不多吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 47, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "对于现实生活中的一些简单问题，能根据数据提供的信息，判断随机现象发生的可能性。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别数据规律并量化可能性"}, "schemaVersion": "0.1.0", "statementBefore": "判断随机现象发生的可能性", "repair": {"why": "将原句中的‘对于现实生活中的一些简单问题’这一限定条件，整合进‘能根据数据提供的信息’这一核心能力要求中，使断言更聚焦于学生可观察的判断行为。", "grounding": 1.0}, "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：能根据数据提供的信息，判断随机现象发生的可能性：这是对内容领域的描述，不是对学生能力的判断，无法回答某个具体孩子是否掌握"}], "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生‘能根据数据提供的信息，判断随机现象发生的可能性’，断言是对此的忠实转述，且主语是学生。", "quote": "对于现实生活中的一些简单问题，能根据数据提供的信息，判断随机现象发生的可能性。", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"id": "ca_TUCPZt5F", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能比较清晰地描述幼儿园和学前生活中的数学活动内容", "verb": "比较", "object": "清晰地描述幼儿园和学前生活中的数学活动内容", "type": "CONCEPTUAL", "literacy": ["应用意识"], "cognitive": "理解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能说出幼儿园里玩过的数字游戏或数数活动", "能描述学前班时用积木搭建或分类物品的经历"], "assessment": "{{name}}，你能告诉我你在幼儿园或学前班做过哪些和数学有关的事情吗？", "evidenceSource": "llm-draft", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 51, "srcStage": "第一学段", "srcAgree": "0.97", "srcText": "能比较清晰地描述幼儿园和学前生活中的数学活动内容，比较准确地表达自己对数、数量、图形、方位等数学知识的理解；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "stage", "detail": "G1–G2（小学一至二年级）是正式数学学习阶段，而能力断言描述的是“描述幼儿园和学前生活中的数学活动内容”，这是对过去经历的回忆和描述，不属于该学段数学课程应培养的核心能力，更像是幼小衔接阶段的活动目标或课程内容的衔接说明。"}, {"type": "not-a-capability", "detail": "这条描述“能比较清晰地描述……”，更像是一条教学活动目标或课程内容要求（如让学生分享学前经历），而非对学生数学核心素养能力的断言。它无法对一个具体孩子在数学学习上的能力水平（如是否会计算、是否会推理）做出“会/不会”的判断。"}, {"type": "evidence-weak", "detail": "“能说出幼儿园里玩过的数字游戏”或“能描述用积木搭建或分类物品的经历”是回忆和叙述能力，证明不了学生掌握了与“数与运算”或“应用意识”相关的数学能力。它可能只是记忆或表达能力的体现。"}], "dropReason": "AI 判定不是学生能力（教学建议/课程目标）"}
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{"id": "ca_ZFMFdbHN", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能说出钟表上的时间", "verb": "说出", "object": "钟表上的时间", "type": "CONCEPTUAL", "literacy": ["量感"], "cognitive": "了解", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能正确读出钟表上显示的整点时间，如3点整", "能准确说出钟表上显示的半点时间，如4点半"], "assessment": "{{name}}，你能告诉我现在钟表上是几点吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 51, "srcStage": "第一学段", "srcAgree": "0.97", "srcText": "认识时、分、秒，能说出钟表上的时间；", "method": "vlm-transcribe+split"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句“认识时、分、秒，能说出钟表上的时间”中的“时间”指代模糊，课标未明确“说出”的具体对象范围（如整时、半时、几时几。复查：可判定闸放行、断言忠于课标原句、另一个模型复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "原句“认识时、分、秒，能说出钟表上的时间”中的“时间”指代模糊，课标未明确“说出”的具体对象范围（如整时、半时、几时几分、几秒）。诊断中提供的证据（整点、半点）是具体化的一种，但断言本身是概括性要求，无法判定孩子是否“能说出”所有情况。因此"}}
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{"id": "ca_Zthr3HKr", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能用自己的语言说出数学连环画中数学知识的意义及数量关系", "verb": "说出", "object": "数学连环画中数学知识的意义及数量关系", "type": "CONCEPTUAL", "literacy": ["推理意识", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G1", "max": "G2"}, "evidence": ["能看着自己画的连环画，用口语解释每一步的数学意思", "能看着同学画的连环画，指出其中的数学问题是什么"], "assessment": "{{name}}，你能看懂别人画的数学故事，并用自己的方式讲出来吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 52, "srcStage": "第一学段", "srcAgree": "1.00", "srcText": "能用自己的语言表达数学连环画中数学知识的意义及蕴含的数量关系，能理解他人数学连环画中的数学信息及关系，学会数学化的表达与交流。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别规律与数量关系，解释并交流"}, "schemaVersion": "0.1.0", "statementBefore": "能理解他人数学连环画中的数学信息及关系，学会数学化的表达与交流", "repair": {"why": "将原句中不可观测的‘理解’和‘学会’改为可观察的‘说出’；将‘数学化的表达与交流’这一教学目标，转化为学生能用自己的语言表达这一具体行为；去掉了‘能理解他人’这一在G1阶段难以直接观测和判定的能力要求。", "grounding": 0.89}, "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：断言描述的是教学活动形式（画连环画、解释连环画），而非一个可以对具体孩子判断“会/不会”的可观测能力"}, {"type": "resolved", "detail": "【裁决为不成立】原异议：断言主体是“能用自己的语言说出…”，更像是一条教学活动或学习目标描述，而非对学生数学能力的清晰刻画"}], "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing", "communicating"], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生具备此能力，断言是对原文的忠实转述。", "quote": "能用自己的语言表达数学连环画中数学知识的意义及蕴含的数量关系", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
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{"id": "ca_Ps3Uk6yB", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能表达具体情境中负数的实际意义", "verb": "表达", "object": "具体情境中负数的实际意义", "type": "CONCEPTUAL", "literacy": ["数感", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能解释温度计上零下5度表示比零度低5度", "能说明欠债10元意味着需要还给别人10元"], "assessment": "{{name}}，你能告诉我零下温度和欠钱在生活里是什么意思吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "NO_STAGE", "provenance": {"srcSubject": "数学", "srcPage": 58, "srcStage": "第三学段", "srcAgree": "0.97", "srcText": "在真实情境中，通过具体事例体会相反意义的量，如温度、海拔等，能表达具体情境中负数的实际意义，能通过对多个事例的归纳、比较，感悟负数可以表达与正数相反意义的量。", "method": "vlm-transcribe+split", "stageFixedFrom": "G1-G9"}, "schemaVersion": "0.1.0", "stageFix": "按课程方案开设年级裁剪", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句是教学建议，描述学生通过归纳、比较来感悟的过程，而非一个可直接判定学生“能/不能”的具体能力断言。。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "detail": "复审提了 stage（负数的认识是第二学段（4–6年级）内容，课标在小学阶段仅在4年级左右引入负数，标）→ 按原件裁决：课标原件 PDF 第 58 页：第58页综合与实践【学业要求】，属第57页「第三学段（5～6年级）」，第四学段自第61页起，学段 G1-G9 → G5-G6"}], "repairAttempt": {"fixable": false, "why": "原句是教学建议，描述学生通过归纳、比较来感悟的过程，而非一个可直接判定学生“能/不能”的具体能力断言。"}}
{"id": "ca_tV2fWetY", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能通过对多个事例的归纳、比较，感悟负数可以表达与正数相反意义的量", "verb": "归纳", "object": "比较，感悟负数可以表达与正数相反意义的量", "type": "CONCEPTUAL", "literacy": ["数感", "符号意识"], "cognitive": "理解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能同时举出温度、海拔、收支三类事例，说出它们共同点是正负表示相反方向", "能比较两个不同情境中的负数，指出它们各自与哪个正数意义相反"], "assessment": "{{name}}，你能说出哪些生活中的例子，可以用正数和负数来表示相反的意思吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "NO_STAGE", "provenance": {"srcSubject": "数学", "srcPage": 58, "srcStage": "第三学段", "srcAgree": "0.97", "srcText": "在真实情境中，通过具体事例体会相反意义的量，如温度、海拔等，能表达具体情境中负数的实际意义，能通过对多个事例的归纳、比较，感悟负数可以表达与正数相反意义的量。", "method": "vlm-transcribe+split", "stageFixedFrom": "G1-G9"}, "schemaVersion": "0.1.0", "stageFix": "按课程方案开设年级裁剪", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句是教学建议，描述的是学生应达到的感悟水平，而非可直接观察、判定的具体行为能力。。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "detail": "复审提了 stage（负数是第二学段（4–6年级）内容，课标原文出现在该学段，标注 G1–G9 跨度过）→ 按原件裁决：课标原件 PDF 第 58 页：第58页综合与实践【学业要求】，属第57页「第三学段（5～6年级）」，第四学段自第61页起，学段 G1-G9 → G5-G6"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "原异议 evidence-weak（掌握证据只覆盖气温零上零下、收入支出两个具体情境，无法证明「通过对多个事例的归纳、比较」这一归纳比较能力本身，证据与断言）：带着这条意见重写证据，复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "原句是教学建议，描述的是学生应达到的感悟水平，而非可直接观察、判定的具体行为能力。"}}
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{"id": "ca_euHBPae6", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "能按校园的方位和场所的位置，依据绘图比例绘制简单的校园平面图", "verb": "绘制", "object": "简单的校园平面图", "type": "PROCEDURAL", "literacy": ["空间观念", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能选定一个比例尺，把校园主要场所按方位画在图上并标出比例尺", "能在图上用方向标和比例尺量出两处场所的图上距离并换算成实际距离"], "assessment": "{{name}}，你能按比例尺画出校园平面图，并标出主要建筑的位置吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "NO_STAGE", "provenance": {"srcSubject": "数学", "srcPage": 58, "srcStage": "第三学段", "srcAgree": "0.97", "srcText": "能按校园的方位和场所的位置，依据绘图比例绘制简单的校园平面图；", "method": "vlm-transcribe+split", "stageFixedFrom": "G1-G9"}, "schemaVersion": "0.1.0", "stageFix": "按课程方案开设年级裁剪", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句是教学建议，描述的是学生应完成的任务，而非可观察、可判定的能力断言。它没有明确学生需要掌握的具体技能或知识，无法直。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "detail": "复审提了 stage（标注学段G1–G9跨度过大且起点错误：按比例尺绘图、使用量角器确定方位、理解比例）→ 按原件裁决：课标原件 PDF 第 58 页：第58页综合与实践【学业要求】，属第57页「第三学段（5～6年级）」，第四学段自第61页起，学段 G1-G9 → G5-G6"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "原异议 evidence-weak（证据「能标注图例、比例尺和方向标，并说明图上1厘米代表实际5米」中的「说明」是口头表述，与断言要求的「绘制」能力不对应，）：带着这条意见重写证据，复审未挑出问题"}], "repairAttempt": {"fixable": false, "why": "原句是教学建议，描述的是学生应完成的任务，而非可观察、可判定的能力断言。它没有明确学生需要掌握的具体技能或知识，无法直接转化为‘能+可观察动词+明确对象’的句式。"}}
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{"id": "ca_zuvjgu93", "discipline": "数学", "track": "DAG", "strand": null, "topic": null, "dimension": null, "statement": "会用扇形统计图整理调查结果", "verb": "整理", "object": "调查结果", "type": "CONCEPTUAL", "literacy": ["数据意识", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据数据选择合适的扇形角度并标注百分比", "能解释扇形图中各部分与整体的关系"], "assessment": "{{name}}，如果调查全班同学的早餐选择，你能画出扇形图来展示吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "deprecated": false, "supersededBy": null, "triageBucket": "NO_STAGE", "provenance": {"srcSubject": "数学", "srcPage": 58, "srcStage": "第三学段", "srcAgree": "0.97", "srcText": "会用扇形统计图整理调查结果，分析如何实现营养均衡；", "method": "vlm-transcribe+split", "stageFixedFrom": "G1-G9"}, "schemaVersion": "0.1.0", "stageFix": "按课程方案开设年级裁剪", "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：课标原句本身是口号或教学建议，不含可判定的学生能力，修不出来：原句只是教学建议，不含学生能力。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "detail": "复审提了 stage（扇形统计图是小学高年级（约G5–G6）内容，标注学段G1–G9跨度过大，G1–G）→ 按原件裁决：课标原件 PDF 第 58 页：第58页综合与实践【学业要求】，属第57页「第三学段（5～6年级）」，第四学段自第61页起，学段 G1-G9 → G5-G6"}], "repairAttempt": {"fixable": false, "why": "原句只是教学建议，不含学生能力"}}
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{"id": "ca_Nr4nz2Jk", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会用正数和负数表示具体情境中具有相反意义的量", "verb": "表示", "object": "具体情境中具有相反意义的量", "type": "REPRESENTATIONAL", "literacy": ["数感"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能说出气温零上5℃和零下3℃分别记作+5℃和-3℃", "能正确计算+5℃和-3℃之间的温差是8℃"], "assessment": "{{name}}，你能用正负数说说电梯上升5层和下降3层怎么表示吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "(1) 有理数理解负数的意义，会用正数和负数表示具体情境中具有相反意义的量；", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解相反意义的量并用数表示"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "patterns"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.933, "verbatimCoverage": 1.0, "facts": ["有理数包括负数", "负数的意义是表示相反意义的量", "正数和负数可以表示具体情境中具有相反意义的量"]}}
{"id": "ca_7ZdCPtwK", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用数轴上的点表示有理数", "verb": "表示", "object": "有理数", "type": "REPRESENTATIONAL", "literacy": ["数感", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能在数轴上准确标出-2.5、3/4等有理数的位置", "能根据数轴上点的位置读出对应的有理数"], "assessment": "{{name}}，你能告诉我数轴上这个点表示的数是多少吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "理解有理数的意义，能用数轴上的点表示有理数，能借助数轴体会相反数和绝对值的意义，初步体会数形结合的思想方法；", "method": "vlm-transcribe+split", "crosscuttingWhy": "用数轴模型表示数的大小与位置关系"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["有理数可以用数轴上的点表示", "相反数的意义可以借助数轴体会", "绝对值的意义可以借助数轴体会", "数形结合是一种思想方法"]}}
{"id": "ca_JL6WPUQX", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能比较有理数的大小", "verb": "比较", "object": "有理数的大小", "type": "CONCEPTUAL", "literacy": ["数感"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确排列 -3、1/2、0、-1.5 的大小顺序并说明理由", "能解释为何 -2 大于 -5 并用数轴验证"], "assessment": "{{name}}，你能告诉我为什么 -2 比 -5 大吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能比较有理数的大小，能求有理数的相反数和绝对值；", "method": "vlm-transcribe+split", "crosscuttingWhy": "比较大小涉及量级与比例，运用数学思维"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["能比较有理数的大小", "能求有理数的相反数", "能求有理数的绝对值"]}}
{"id": "ca_K6cXunub", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会运用乘方的意义准确进行有理数的乘方运算", "verb": "运用", "object": "乘方的意义准确进行有理数的乘方运算", "type": "CONCEPTUAL", "literacy": ["运算能力", "推理意识"], "cognitive": "应用", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确计算(-2)^3并说明结果为-8的原因", "能区分(-3)^2与-3^2的不同并分别计算出正确结果"], "assessment": "{{name}}，你能告诉我(-2)^3和-3^2分别等于多少吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "会运用乘方的意义准确进行有理数的乘方运算；", "method": "vlm-transcribe+split", "crosscuttingWhy": "理解乘方量级并执行运算"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_dbvFPRrX", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能合理运用运算律简化运算", "verb": "运用", "object": "运算律简化运算", "type": "CONCEPTUAL", "literacy": ["运算能力"], "cognitive": "应用", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能将 25×37+25×63 改写为 25×(37+63) 并算出正确结果", "能识别 48×99+48 并运用乘法分配律转化为 48×(99+1) 进行计算"], "assessment": "你能帮 {{name}} 找找看，哪些题目可以像这样用运算律让计算更简单吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能熟练地对有理数进行加、减、乘、除、乘方及简单的混合运算（以三步以内为主），理解有理数的运算律，能合理运用运算律简化运算，能运用有理数的运算解决简单问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别运算规律并运用计算思维简化"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.75, "verbatimCoverage": 1.0, "facts": ["有理数的运算包括加、减、乘、除、乘方及简单的混合运算。", "有理数的混合运算以三步以内为主。", "有理数的运算律包括加法交换律、加法结合律、乘法交换律、乘法结合律、乘法分配律。", "有理数的运算可以解决简单问题。"]}}
{"id": "ca_S6ehSGKq", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能运用有理数的运算解决简单问题", "verb": "运用", "object": "有理数的运算解决简单问题", "type": "CONCEPTUAL", "literacy": ["运算能力", "应用意识"], "cognitive": "应用", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确计算 -3 + 5 × 2 并说明运算顺序", "能用有理数运算解决温度变化问题，如从-2℃上升5℃再下降3℃后的温度"], "assessment": "{{name}}，你能用有理数的加减乘除解决生活中的小问题吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能熟练地对有理数进行加、减、乘、除、乘方及简单的混合运算（以三步以内为主），理解有理数的运算律，能合理运用运算律简化运算，能运用有理数的运算解决简单问题。", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用有理数运算解决简单问题"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.909, "verbatimCoverage": 1.0, "facts": ["有理数的运算包括加、减、乘、除、乘方及简单的混合运算。", "有理数的混合运算以三步以内为主。", "有理数的运算律包括加法交换律、加法结合律、乘法交换律、乘法结合律、乘法分配律。", "有理数的运算可以解决简单问题。"]}}
{"id": "ca_nQutTKqH", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用数轴上的点表示一些具体的实数", "verb": "表示", "object": "一些具体的实数", "type": "REPRESENTATIONAL", "literacy": ["数感", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能在数轴上准确标出π的近似位置并说明判断依据", "能在数轴上用尺子量出√5对应的点的数值范围"], "assessment": "请观察{{name}}能否在数轴上找到并标注出常见的无理数位置？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "初步认识实数与数轴上的点具有一一对应关系，能用数轴上的点表示一些具体的实数，能比较实数的大小；", "method": "vlm-transcribe+split", "crosscuttingWhy": "用数轴表示实数，体现尺度与模型建构"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "structure-function"], "practice": ["modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.545, "verbatimCoverage": 1.0, "facts": ["实数与数轴上的点具有一一对应关系。"]}}
{"id": "ca_kyxR3a8k", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能比较实数的大小", "verb": "比较", "object": "实数的大小", "type": "CONCEPTUAL", "literacy": ["数感", "运算能力"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确比较-3.5与-2.8的大小并说明理由", "能将√2、π、3.14按从大到小顺序排列"], "assessment": "{{name}}，你能告诉我-3.5和-2.8哪个大吗？为什么？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "初步认识实数与数轴上的点具有一一对应关系，能用数轴上的点表示一些具体的实数，能比较实数的大小；", "method": "vlm-transcribe+split", "crosscuttingWhy": "比较大小涉及量级与比例，属数学计算"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.333, "verbatimCoverage": 1.0, "facts": ["实数与数轴上的点具有一一对应关系。"]}}
{"id": "ca_6LbeLBvu", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会用根号表示平方根、算术平方根、立方根", "verb": "表示", "object": "平方根、算术平方根、立方根", "type": "REPRESENTATIONAL", "literacy": ["数感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确写出√16=4和³√-8=-2", "能解释√5和-√5互为相反数而非仅大小不同"], "assessment": "你能请{{name}}用根号表示几个数的平方根或立方根，并说说它们之间的区别吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道平方根、算术平方根、立方根的概念，会用根号表示平方根、算术平方根、立方根；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别运算模式，处理量级关系，运用数学符号"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["平方根可以用根号表示", "算术平方根可以用根号表示", "立方根可以用根号表示"]}, "composite": true, "fieldIssues": ["composite"]}
{"id": "ca_AnS6zgCY", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用乘方运算求百以内完全平方数的平方根和千以内完全立方数的立方根（及对应的负整数）", "verb": "求", "object": "百以内完全平方数的平方根和千以内完全立方数的立方根（及对应的负整数）", "type": "CONCEPTUAL", "literacy": ["运算能力", "数感"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确计算√64和∛27并写出结果", "能正确计算√(-81)和∛(-1000)并写出结果"], "assessment": "{{name}}，你能算出√49和∛-27分别等于多少吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "disputed", "reviewedBy": [], "deprecated": true, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道乘方与开方互为逆运算，会用乘方运算求百以内完全平方数的平方根和千以内完全立方数的立方根（及对应的负整数），会用计算器计算平方根和立方根；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别平方/立方数规律，运用运算求解"}, "schemaVersion": "0.1.0", "statementBefore": "会用乘方运算求百以内完全平方数的平方根和千以内完全立方数的立方根（及对应的负整数）", "repair": {"why": "将‘会用’改为‘能用’，使句式统一为‘能+动词+对象’；保留了原句中‘及对应的负整数’的完整表述，因为课标原句明确包含此内容，且证据中已包含对负数的计算。", "grounding": 1.0}, "aiIssues": [{"type": "undecidable", "detail": "断言本身是具体计算任务，但表述为'能用乘方运算求...'更像教学目标而非可直接判定的能力描述"}, {"type": "evidence-weak", "detail": "证据仅要求计算√64和∛27，未体现'百以内完全平方数'和'千以内完全立方数'的范围要求，也未体现对负数立方根的掌握"}, {"type": "resolved", "detail": "模型与可判定闸判断一致（无可观察行为动词：改写成「能<动词><对象>」的形式，动词须来自 ACTION_VERBS）→ 弃用。不硬拆：拆句需要教学判断"}], "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "dropReason": "模型判「不可判定」，可判定闸也拦（无可观察行为动词：改写成「能<动词><对象>」的形式，动词须来自 ACTION_VERBS）。两个判官一致，不需要人。不硬拆 —— 拆句需要教学判断"}
{"id": "ca_xdeD3grN", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会用计算器计算平方根和立方根", "verb": "计算", "object": "器计算平方根和立方根", "type": "PROCEDURAL", "literacy": ["运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能用计算器正确计算出√2的近似值并读出结果", "能用计算器计算8的立方根并确认结果为2"], "assessment": "{{name}}能用计算器算出√2的近似值吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道乘方与开方互为逆运算，会用乘方运算求百以内完全平方数的平方根和千以内完全立方数的立方根（及对应的负整数），会用计算器计算平方根和立方根；", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用数学工具进行计算"}, "schemaVersion": "0.1.0", "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：该断言本质是操作性指令，不属于课标定义的核心素养能力，而是教学目标或技能要求"}], "crosscutting": [], "practice": ["math-computational"], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生'会用计算器计算平方根和立方根'，该断言是忠实转述，属于学生应掌握的能力。", "quote": "会用计算器计算平方根和立方根", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"id": "ca_mPeNYzFW", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能用计算器进行近似计算", "verb": "计算", "object": "器进行近似计算", "type": "PROCEDURAL", "literacy": ["运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能用计算器计算 123.456×7.89 并正确保留两位小数", "能用计算器计算 √2 的近似值并说明取到小数点后几位"], "assessment": "{{name}}，你能用计算器算出 123.456×7.89 并告诉我结果保留两位小数是多少吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "初步认识近似数，在解决实际问题中，能用计算器进行近似计算，会按问题的要求进行简单的近似计算，会对结果取近似值；", "method": "vlm-transcribe+split", "crosscuttingWhy": "运用计算工具进行数学运算"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_RQ2iqEuL", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "能运用代数式表示具体问题中简单的数量关系，体验用数学符号表达数量关系的过程", "verb": "表达", "object": "数量关系的过程", "type": "CONCEPTUAL", "literacy": ["符号意识", "抽象能力"], "cognitive": "应用", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能用含字母的代数式表示一个长方形的周长或面积", "能根据题意列出“原价打折后价格”这类两步运算的代数式"], "assessment": "{{name}}，你能用字母表示出长方形的周长吗？或者能告诉我买书打折后怎么用式子表示总价吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 66, "srcStage": "第四学段", "srcAgree": "0.99", "srcText": "能运用代数式表示具体问题中简单的数量关系，体验用数学符号表达数量关系的过程，会选择适当的方法求代数式的值；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别数量规律并用符号建模表达"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational", "modeling"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_niUiNXNC", "discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "statement": "会选择适当的方法求代数式的值", "verb": "选择", "object": "适当的方法求代数式的值", "type": "CONCEPTUAL", "literacy": ["运算能力", "推理意识"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能将给定的代数式化简后代入数值计算出结果", "能根据代数式特点选择代入法或整体代入法求值"], "assessment": "{{name}}，你能告诉我你是怎么算出这个代数式的值的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 66, "srcStage": "第四学段", "srcAgree": "0.99", "srcText": "能运用代数式表示具体问题中简单的数量关系，体验用数学符号表达数量关系的过程，会选择适当的方法求代数式的值；", "method": "vlm-transcribe+split", "crosscuttingWhy": "选择算法求值属计算思维"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
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{"id": "ca_4F2ZC5am", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能计算一组数据的中位数、众数、加权平均数", "verb": "计算", "object": "一组数据的中位数、众数、加权平均数", "type": "PROCEDURAL", "literacy": ["数据观念", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确计算一组数据的中位数、众数和加权平均数，并解释计算过程", "能根据数据特点选择合适的统计量，并说明理由"], "assessment": "{{name}}，你能算出这组数据的中位数、众数和加权平均数吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 82, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能计算一组数据的中位数、众数、加权平均数，知道计算加权平均数的分布式计算方法，知道中位数、众数、平均数都能刻画这组数据的集中趋势以及它们各自的特点；", "method": "vlm-transcribe+split", "crosscuttingWhy": "计算统计量，运用数学与分析数据"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "patterns"], "practice": ["math-computational", "analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 1.0, "verbatimCoverage": 1.0, "facts": ["中位数能刻画一组数据的集中趋势", "众数能刻画一组数据的集中趋势", "加权平均数能刻画一组数据的集中趋势", "加权平均数有分布式计算方法", "中位数、众数、平均数各自的特点不同"]}, "composite": true, "fieldIssues": ["composite"]}
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{"id": "ca_W7nynAyn", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能根据数据的数字特征解释或解决问题", "verb": "解释", "object": "或解决问题", "type": "CONCEPTUAL", "literacy": ["数据意识", "推理能力"], "cognitive": "应用", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能根据一组考试成绩的平均分和标准差，判断哪个班级成绩更稳定", "能用一组数据的中位数和众数，解释为什么平均数不能代表大多数人水平"], "assessment": "{{name}}，你能告诉我，为什么老师说这次考试的平均分不能完全代表我们班同学的成绩吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "READY", "provenance": {"srcSubject": "数学", "srcPage": 82, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能根据问题的需要提取中位数、众数、平均数、四分位数、方差等数据的数字特征，能根据数据的数字特征解释或解决问题；", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别数据规律并运用数学计算解决问题"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 1.0, "facts": []}}
{"id": "ca_TRfX2NeE", "discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "statement": "能根据需要使用恰当的统计图表整理和表示数据，并根据图表进行分析", "verb": "使用...整理和表示...并进行分析", "object": "恰当的统计图表和数据", "type": "REPRESENTATIONAL", "literacy": ["数据意识", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能根据数据特点，选择条形图或折线图，并正确绘制出来", "能基于绘制好的图表，指出数据的主要特征或趋势"], "assessment": "{{name}}，你能告诉我为什么用折线图来展示这组数据吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "triageBucket": "JUDGE", "provenance": {"srcSubject": "数学", "srcPage": 82, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能根据需要使用恰当的统计图表整理和表示数据，能根据统计图表分析", "method": "vlm-transcribe+split", "crosscuttingWhy": "识别数据规律与量级，分析图表并计算"}, "schemaVersion": "0.1.0", "statementBefore": "能根据需要使用恰当的统计图表整理和表示数据", "repair": {"why": "修复了断言的完整性，将原句中并列的两个能力要求合并为一个连贯的陈述，并明确了可观察的行为对象。", "grounding": 1.0}, "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "not-applicable", "overlap": 0.0, "verbatimCoverage": 0.875, "facts": []}}
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{"id": "ca_gp69U1k0", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "数学运算", "statement": "能计算长方形和正方形的周长与面积", "verb": "计算", "object": "长方形和正方形的周长与面积", "type": "PROCEDURAL", "literacy": ["数学运算"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["学生能根据给定的长和宽，计算出长方形的周长和面积", "学生能根据给定的边长，计算出正方形的周长和面积"], "assessment": "{{name}}能说出正方形的面积计算公式是边长×边长吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "探索并掌握长方形、正方形的周长和面积的计算公式", "method": "curriculum-content-rewrite", "crosscuttingWhy": "计算几何量，涉及尺度与结构", "srcPage": 36, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "structure-function"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.846, "facts": ["长方形有周长和面积的计算公式", "正方形有周长和面积的计算公式"]}, "statementBefore": "能说出正方形的面积计算公式是边长×边长", "repair": {"kind": "undegrade", "why": "将「说出公式」改为「计算周长与面积」，使用了原文动词「计算」，对象为原文的「长方形、正方形的周长和面积」，符合课标要求。", "grounding": 1.0, "srcVerbs": ["计算"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_QVOW8KDI", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "几何直观", "statement": "能说出两点之间的距离就是连接两点的线段的长度", "verb": "说出", "object": "两点之间的距离就是连接两点的线段的长度", "type": "KNOWLEDGE", "literacy": ["几何直观"], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["问：两点之间的距离就是连接两点的线段的长度是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出两点之间的距离就是连接两点的线段的长度吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "感知线段长度与两点间距离的关系", "method": "curriculum-content-rewrite", "crosscuttingWhy": "理解几何定义中形状与度量的关系", "srcPage": 38, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.75, "verbatimCoverage": 0.556, "facts": ["线段长度与两点间距离有关"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_KziUnadt", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "几何直观", "statement": "能说出三角形内角和是 180°", "verb": "说出", "object": "三角形内角和是 180°", "type": "KNOWLEDGE", "literacy": ["几何直观"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["问：三角形内角和是 180°是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出三角形内角和是 180°吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "知道三角形任意两边之和大于第三边（例 32）；知道三角形内角和是 180°。", "method": "curriculum-content-rewrite", "crosscuttingWhy": "识别几何规律并解释其度量属性", "srcPage": 39, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.667, "facts": ["三角形任意两边之和大于第三边", "三角形内角和是180°"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_pOb30KtA", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "推理意识", "statement": "能说出圆的周长与其直径之比是一个定值", "verb": "说出", "object": "圆的周长与其直径之比是一个定值", "type": "KNOWLEDGE", "literacy": ["推理意识"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["问：圆的周长与其直径之比是一个定值是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出圆的周长与其直径之比是一个定值吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "了解圆的周长与其直径之比是一个定值", "method": "curriculum-content-rewrite", "crosscuttingWhy": "发现并解释圆周率这一恒定比例关系", "srcPage": 40, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.833, "facts": ["圆的周长与其直径之比是一个定值"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_5ZxWWVJ8", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "推理能力", "statement": "能根据\"两点间线段最短\"的基本事实说明三角形三边关系", "verb": "说明", "object": "三角形三边关系", "type": "CONCEPTUAL", "literacy": ["推理能力"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能用\"两点间线段最短\"解释为什么三角形两边之和大于第三边", "能用几何语言或图形阐述三边长度的关系及其依据"], "assessment": "{{name}}能说出三角形三边关系的依据是\"两点间线段最短\"吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。", "downgradedBy": "独立验证：模型只读原文（看不到本断言）时，抽不出任何支持它的事实。可能只是角度不同（实测误报率约 17%），所以降级而不是弃用，交由人判。"}, "provenance": {"srcSubject": "数学", "srcText": "经历根据“两点间线段最短”的基本事实说明三角形三边关系的过程", "method": "curriculum-content-rewrite", "crosscuttingWhy": "用结构原理解释几何关系", "srcPage": 42, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "cause-effect"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 0.957, "facts": []}, "statementBefore": "能说出三角形三边关系的依据是\"两点间线段最短\"", "repair": {"kind": "undegrade", "why": "将“说出依据”改回了“说明关系”，保留了原文动词“说明”和核心对象“三角形三边关系”，但移除了教师视角的“经历过程”，使其成为学生可达成的能力表述。", "grounding": 1.0, "srcVerbs": ["说明"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_JWaA2wPV", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "数学抽象", "statement": "能说出祖冲之是古代数学家", "verb": "说出", "object": "祖冲之是古代数学家", "type": "KNOWLEDGE", "literacy": ["数学抽象"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["问：祖冲之是古代数学家是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出祖冲之是古代数学家吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。", "downgradedBy": "独立验证：模型只读原文（看不到本断言）时，抽不出任何支持它的事实。可能只是角度不同（实测误报率约 17%），所以降级而不是弃用，交由人判。"}, "provenance": {"srcSubject": "数学", "srcText": "讲述祖冲之的故事（例 22），了解中国古代数学家的杰出贡献", "method": "curriculum-content-rewrite", "crosscuttingWhy": "识记类知识，无跨学科思维或实践", "srcPage": 42, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "not-applicable", "overlap": 0.0, "verbatimCoverage": 0.75, "facts": []}, "topicFrom": "curriculum-page-index"}
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{"id": "ca_jerfGlT4", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": null, "dimension": null, "statement": "能说出\"曹冲称象的故事\"中运用的数学原理是\"总量等于各分量之和\"", "verb": "说出", "object": "\"曹冲称象的故事\"中运用的数学原理是\"总量等于各分量之和\"", "type": "KNOWLEDGE", "literacy": [], "cognitive": "了解", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["问：\"曹冲称象的故事\"中运用的数学原理是\"总量等于各分量之和\"是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出\"曹冲称象的故事\"中运用的数学原理是\"总量等于各分量之和\"吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": true, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "例如，“曹冲称象的故事”可以从故事引入，引发学生的好奇心和探究的欲望，在理解质量单位的基础上，思考如何运用“总量等于各分量之和”称出一个庞然大物的质量，感知“等量的等量相等”这一基本事实，感悟如何用数学的思维思考现实世界。", "method": "curriculum-content-rewrite", "crosscuttingWhy": "识别等量代换原理并解释"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing"], "dropReason": "指标类（阅读量/速度/字数），是给学生定的目标不是可说的知识。这类由 mappings/stage-targets.json 那套机制承载。"}
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{"id": "ca_K2SGBCiC", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "数与代数", "dimension": "数学抽象", "statement": "能说出数与代数是数学知识体系的基础之一", "verb": "说出", "object": "数与代数是数学知识体系的基础之一", "type": "KNOWLEDGE", "literacy": ["数学抽象"], "cognitive": "了解", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["问：数与代数是数学知识体系的基础之一是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出数与代数是数学知识体系的基础之一吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "数与代数是数学知识体系的基础之一", "method": "curriculum-content-rewrite", "crosscuttingWhy": "陈述性知识，无特定思维或实践", "srcPage": 60, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.824, "facts": ["数与代数是数学知识体系的基础之一"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_LT7lyAS1", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "数与代数", "dimension": "数学运算", "statement": "能说出乘法公式（a+b）(a-b)=a2-b2,(a±b)2=a2±2ab+b2", "verb": "说出", "object": "乘法公式（a+b）(a-b)=a2-b2,(a±b)2=a2±2ab+b2", "type": "KNOWLEDGE", "literacy": ["数学运算"], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["问：乘法公式（a+b）(a-b)=a2-b2,(a±b)2=a2±2ab+b2是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出乘法公式（a+b）(a-b)=a2-b2,(a±b)2=a2±2ab+b2吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "理解乘法公式(a+b)(a-b)=a²-b²，(a±b)²=a²±2ab+b²", "method": "curriculum-content-rewrite", "crosscuttingWhy": "识别代数恒等式规律并进行计算", "srcPage": 62, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns"], "practice": ["math-computational"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "suspect", "overlap": 0.0, "verbatimCoverage": 0.571, "facts": ["(a+b)(a-b)=a²-b²", "(a±b)²=a²±2ab+b²"]}, "topicFrom": "curriculum-page-index", "fieldIssues": ["independent-check-suspect"]}
{"id": "ca_TASj6WyU", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "数与代数", "dimension": "数学抽象", "statement": "能说出分式的基本性质是进行约分和通分的依据", "verb": "说出", "object": "分式的基本性质是进行约分和通分的依据", "type": "KNOWLEDGE", "literacy": ["数学抽象"], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["问：分式的基本性质是进行约分和通分的依据是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出分式的基本性质是进行约分和通分的依据吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "了解分式和最简分式的概念，能利用分式的基本性质进行约分和通分", "method": "curriculum-content-rewrite", "crosscuttingWhy": "识别规律并解释结构与运算的关系", "srcPage": 63, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "structure-function"], "practice": ["explaining-designing"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.667, "verbatimCoverage": 0.722, "facts": ["分式是数学概念", "最简分式是数学概念", "分式有基本性质", "分式的基本性质可用于约分", "分式的基本性质可用于通分"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_OHz7AOHA", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "数与代数", "dimension": "直观想象", "statement": "能探索并理解 k 》 0 和 k 《 0 时图象的变化情况", "verb": "探索", "object": "能探索并理解 k 》 0 和 k 《 0 时图象的变化情况", "type": "KNOWLEDGE", "literacy": ["直观想象"], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["问：能探索并理解 k 》 0 和 k 《 0 时图象的变化情况是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出能探索并理解 k 》 0 和 k 《 0 时图象的变化情况吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。", "downgradedBy": "独立验证：模型只读原文（看不到本断言）时，抽不出任何支持它的事实。可能只是角度不同（实测误报率约 17%），所以降级而不是弃用，交由人判。"}, "provenance": {"srcSubject": "数学", "srcText": "探索并理解 k > 0 和 k < 0 时图象的变化情况", "method": "curriculum-content-rewrite", "crosscuttingWhy": "探索参数变化对函数图象的影响", "srcPage": 64, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "cause-effect"], "practice": ["investigating", "analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "grounded-verbatim", "overlap": 0.0, "verbatimCoverage": 0.933, "facts": []}, "topicFrom": "curriculum-page-index"}
{"id": "ca_La3yFMJk", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": null, "dimension": null, "statement": "能根据具体问题的实际意义检验方程的解是否合理", "verb": "检验", "object": "能根据具体问题的实际意义检验方程的解是否合理", "type": "KNOWLEDGE", "literacy": [], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["问：能根据具体问题的实际意义检验方程的解是否合理是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出能根据具体问题的实际意义检验方程的解是否合理吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": true, "supersededBy": "ca_ygUHy3xh", "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。", "downgradedBy": "独立验证：模型只读原文（看不到本断言）时，抽不出任何支持它的事实。可能只是角度不同（实测误报率约 17%），所以降级而不是弃用，交由人判。"}, "provenance": {"srcSubject": "数学", "srcText": "能根据具体问题的实际意义检验方程的解是否合理", "method": "curriculum-content-rewrite", "crosscuttingWhy": "检验解的合理性需因果推理与量级判断"}, "schemaVersion": "0.1.0", "crosscutting": ["cause-effect", "scale-proportion"], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "overlap": 0.0, "facts": [], "passed": false}, "dropReason": "与保留的那条表达同一事实（实词集合完全相同，仅语序/标点不同）"}
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{"id": "ca_pgXiycdV", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "几何直观", "statement": "能说出90°的圆周角所对的弦是直径", "verb": "说出", "object": "90°的圆周角所对的弦是直径", "type": "KNOWLEDGE", "literacy": ["几何直观"], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["问：90°的圆周角所对的弦是直径是什么？能答出即为会", "答案与课标原文一致，不要求逐字复述"], "assessment": "{{name}}能说出90°的圆周角所对的弦是直径吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-adjudicated", "reviewedBy": ["ai:extraction-pipeline"], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "90°的圆周角所对的弦是直径", "method": "curriculum-content-rewrite", "crosscuttingWhy": "圆周角与弦的几何结构关系", "srcPage": 74, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function"], "practice": [], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 1.0, "verbatimCoverage": 0.769, "facts": ["90°的圆周角所对的弦是直径"]}, "topicFrom": "curriculum-page-index"}
{"id": "ca_mIx7SWqv", "discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "逻辑推理", "statement": "能判断一个命题是否错误", "verb": "判断", "object": "一个命题是否错误", "type": "CONCEPTUAL", "literacy": ["逻辑推理"], "cognitive": "了解", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["学生能针对一个具体命题，举出一个反例来证明其错误", "学生能解释为什么这个反例能证明命题错误"], "assessment": "{{name}}能说出利用反例可以判断一个命题是错误的吗？", "evidenceSource": "curriculum-content", "reviewStatus": "ai-reviewed", "reviewedBy": [], "deprecated": false, "supersededBy": null, "adjudication": {"by": "ai", "basis": ["来源：课标【内容要求】原文，非模型自由生成", "过可判定性闸 + 命题闸（须是有标准答案的命题，不能是主题）", "接地校验：改写与原句字面覆盖 ≥62%"], "pendingObjection": true, "note": "用户授权「AI 先判、人有异议再改」。教师复核后应改判为 expert-confirmed 或 disputed。"}, "provenance": {"srcSubject": "数学", "srcText": "利用反例可以判断一个命题是错误的", "method": "curriculum-content-rewrite", "crosscuttingWhy": "判断命题正误属分析数据", "srcPage": 74, "srcPageFrom": "extract-intermediate"}, "schemaVersion": "0.1.0", "crosscutting": [], "practice": ["analyzing-data"], "independentCheck": {"method": "模型只读原文（看不到本断言）自行抽事实，再机械比对实词覆盖", "verdict": "passed", "overlap": 0.857, "verbatimCoverage": 0.818, "facts": ["利用反例可以判断一个命题是错误的"]}, "statementBefore": "能说出利用反例可以判断一个命题是错误的", "repair": {"kind": "undegrade", "why": "将「说出」改为原文动词「判断」，并保留了「利用反例」这一核心方法，使其成为可观察的学生能力。", "grounding": 0.86, "srcVerbs": ["判断"]}, "topicFrom": "curriculum-page-index"}
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{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据给定长和宽的长方形，正确列出周长与面积的算式并求出结果", "能用单位长度的小正方形铺满一个长方形，数出面积并写出计算式"], "assessment": "{{name}}，你能告诉我这个长方形的周长和面积分别是怎么算出来的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会计算长方形、正方形的周长和面积。", "method": "atomize/atomize-substring", "crosscuttingWhy": "计算形状的度量属性", "splitFrom": "ca_7VhGafE2"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_khBk8JSQ", "statement": "会计算长方形的面积", "verb": "计算", "object": "长方形的面积", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能对给定边长的正方形，写出周长算式并算出结果", "能说明正方形周长是边长的4倍，并据此由边长直接求出周长"], "assessment": "{{name}}，你能告诉我这个长方形的周长和面积分别是怎么算出来的吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会计算长方形、正方形的周长和面积。", "method": "atomize/atomize-substring", "crosscuttingWhy": "计算形状的度量属性", "splitFrom": "ca_7VhGafE2"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_gWn25FkK", "statement": "会计算正方形的周长", "verb": "计算", "object": "正方形的周长", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：AI 裁决：异议成立。断言'会计算正方形的周长'是课标原文'会计算长方形、正方形的周长和面积'的一个子集。虽然课标原文确实要求计算正方形周长，但该能力锚点的证据全部关于长方形，无法。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "原异议 evidence-weak（掌握证据全部围绕长方形周长与面积、用小正方形铺满数面积，没有一条涉及正方形周长的计算（如已知边长求周长），证明不了本条能）：带着这条意见重写证据，复审未挑出问题"}]}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据给定长和宽的长方形，正确列出周长与面积的算式并求出结果", "能用单位长度的小正方形铺满一个长方形，数出面积并写出计算式"], "assessment": "{{name}}，你能告诉我这个长方形的周长和面积分别是怎么算出来的吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 38, "srcStage": "第二学段", "srcAgree": "1.00", "srcText": "会计算长方形、正方形的周长和面积。", "method": "atomize/atomize-substring", "crosscuttingWhy": "计算形状的度量属性", "splitFrom": "ca_7VhGafE2"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_DJE6yRRS", "statement": "会计算正方形的面积", "verb": "计算", "object": "正方形的面积", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算底为8cm、高为5cm的平行四边形面积并写出公式", "能正确计算上底3cm、下底7cm、高4cm的梯形面积并说明计算步骤"], "assessment": "{{name}}，你能算出这个平行四边形和梯形的面积吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算面积，体现结构与比例", "splitFrom": "ca_kG8p4kX5"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_juXGkySv", "statement": "会计算平行四边形的面积", "verb": "计算", "object": "平行四边形的面积", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据中包含梯形面积计算，而能力断言仅限于平行四边形面积，证据与断言不匹配"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生会计算平行四边形的面积，能力断言是原文的忠实拆句，意见不成立。", "quote": "会计算平行四边形、三角形、梯形的面积", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算底为8cm、高为5cm的平行四边形面积并写出公式", "能正确计算上底3cm、下底7cm、高4cm的梯形面积并说明计算步骤"], "assessment": "{{name}}能正确计算底为8cm、高为5cm的平行四边形面积并写出公式吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算面积，体现结构与比例", "splitFrom": "ca_kG8p4kX5"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_hCGXjyva", "statement": "会计算三角形的面积", "verb": "计算", "object": "三角形的面积", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "几何直观"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算底为8cm、高为5cm的平行四边形面积并写出公式", "能正确计算上底3cm、下底7cm、高4cm的梯形面积并说明计算步骤"], "assessment": "{{name}}能算出上底3厘米、下底7厘米、高4厘米的梯形面积吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 40, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算面积，体现结构与比例", "splitFrom": "ca_kG8p4kX5"}, "schemaVersion": "0.1.0", "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_RVK4h7hv", "statement": "会计算梯形的面积", "verb": "计算", "object": "梯形的面积", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据中包含平行四边形面积的计算，与梯形面积计算能力无直接证明关系，且未提供梯形面积计算的独立证据"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生'会计算平行四边形、三角形、梯形的面积'，其中包含了梯形面积的计算。因此，能力断言'会计算梯形的面积'是忠实于原文的。", "quote": "会计算平行四边形、三角形、梯形的面积，能用相应公式解决实际问题。", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给定的长、宽、高，算出长方体的体积并写出算式和单位", "能根据给定的长、宽、高，算出长方体的表面积并写出算式和单位"], "assessment": "{{name}}，你能算出这个长方体和圆柱体的体积和表面积吗？", "evidenceSource": "evidence-drafted", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算几何体的量", "splitFrom": "ca_UGj4pPns"}, "schemaVersion": "0.1.0", "statementBefore": "会计算这些图形的体积和表面积", "repair": {"why": "将笼统的'这些图形'替换为课标原句明确的'长方体、正方体和圆柱'，使对象具体可判定。", "grounding": 1.0}, "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_fTBsnfR4", "statement": "能计算长方体的体积和表面积", "verb": "计算", "object": "长方体的体积和表面积", "reviewedBy": ["ai:deepseek-v4-1-flash-2026-09-28", "ai:doubao-seed-2-0-pro-2026-09-28"], "aiIssues": [{"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "撤销弃用（2026-09-28）。原弃用理由：AI 裁决：异议成立。课标原文是“认识长方体、正方体和圆柱……会计算这些图形的体积和表面积”，这是一个整体要求，涉及长方体、正方体和圆柱三种图形。改写后的断言“能计算长方体的体积和。复查：可判定闸放行、断言忠于课标原句、另一个模型复审只挑了字段问题，进 disputed 排队"}, {"type": "resolved", "by": "ai:deepseek-v4-1-flash-2026-09-28", "detail": "原异议 evidence-weak（掌握证据第二条要求计算圆柱体的体积和表面积，而断言本身只涉及长方体，圆柱体积与表面积是G6下册内容，与长方体（G5）不是）：带着这条意见重写证据，复审未挑出问题"}]}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算一个长方体的体积和表面积并写出完整算式", "能根据给定尺寸计算圆柱体的体积和表面积并保留π或取近似值"], "assessment": "{{name}}能正确计算一个长方体的体积和表面积并写出完整算式吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算几何体的量", "splitFrom": "ca_UGj4pPns"}, "schemaVersion": "0.1.0", "statementBefore": "会计算这些图形的体积和表面积", "repair": {"why": "将笼统的'这些图形'替换为课标原句明确的'长方体、正方体和圆柱'，使对象具体可判定。", "grounding": 1.0}, "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_GfkKhKtA", "statement": "能计算正方体的体积和表面积", "verb": "计算", "object": "正方体的体积和表面积", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据中没有一条提到正方体，长方体和圆柱的计算证据不能直接证明能计算正方体的体积和表面积"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生会计算长方体、正方体和圆柱的体积和表面积，断言“能计算正方体的体积和表面积”是原文要求的子集，是忠实的转述。", "quote": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"discipline": "数学", "track": "DAG", "strand": "图形与几何", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["运算能力", "量感"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能正确计算一个长方体的体积和表面积并写出完整算式", "能根据给定尺寸计算圆柱体的体积和表面积并保留π或取近似值"], "assessment": "{{name}}，你能算出这个长方体和圆柱体的体积和表面积吗？", "evidenceSource": "repaired-from-source", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 41, "srcStage": "第三学段", "srcAgree": "1.00", "srcText": "认识长方体、正方体和圆柱，能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "atomize/atomize-substring", "crosscuttingWhy": "运用公式计算几何体的量", "splitFrom": "ca_UGj4pPns"}, "schemaVersion": "0.1.0", "statementBefore": "会计算这些图形的体积和表面积", "repair": {"why": "将笼统的'这些图形'替换为课标原句明确的'长方体、正方体和圆柱'，使对象具体可判定。", "grounding": 1.0}, "crosscutting": ["structure-function", "scale-proportion"], "practice": ["math-computational"], "id": "ca_z5thZXiz", "statement": "能计算圆柱的体积和表面积", "verb": "计算", "object": "圆柱的体积和表面积", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据第一项是长方体的计算，与圆柱无关；第二项虽提到圆柱但未说明是否包含侧面积、底面积等完整表面积计算，且未明确是否要求理解公式推导过程"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确指出，学生对于长方体、正方体和圆柱这三类图形，需要掌握的能力包括‘会计算这些图形的体积和表面积’。断言‘能计算圆柱的体积和表面积’是对此要求的忠实转述，且圆柱是原文中明确列出的图形之一。", "quote": "能说出这些图形的特征，能辨认这些图形的展开图，会计算这些图形的体积和表面积；", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "type": "CONCEPTUAL", "literacy": ["数据分析"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据条形统计图回答“哪个月销量最高”并说明理由", "能计算三个数的平均数并解释其代表的“一般水平”", "课标例41「同学身高数据的整理与分析」：学校每年都要测量学生的身高，这为学习统计提供了很好的数据资源，希望学生把每年测量身高的数据都保留下来，可以根据不同年级学生的学习要求，分析不同的问题。在第二学段，学生可以直接发现数据提供的信息，如最高（最大值）、最矮（最"], "assessment": "{{name}}能根据条形统计图回答哪个月销量最高吗？", "evidenceSource": "curriculum-example", "reviewStatus": "disputed", "deprecated": true, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 45, "srcStage": "第二学段", "srcAgree": "0.99", "srcText": "（6）能在简单的实际情境中，合理应用统计图表和平均数（例41），形成初步的数据意识和应用意识。", "method": "atomize/atomize-substring", "exampleRefs": [41], "crosscuttingWhy": "运用统计图表分析数据中的规律与数量关系", "splitFrom": "ca_d4Rxr7z5"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "patterns"], "practice": ["analyzing-data", "math-computational"], "id": "ca_6mhfRVPz", "statement": "能在简单的实际情境中，合理应用统计图表", "verb": "应用", "object": "统计图表", "reviewedBy": [], "aiIssues": [{"type": "not-a-capability", "detail": "掌握证据中‘课标例41「同学身高数据的整理与分析」’是教学建议或课标原文摘录，不是学生能展示的具体能力证据"}, {"type": "truncated", "detail": "掌握证据最后一句‘如最高（最大值）、最矮（最’明显被截断，缺少后续内容"}], "dropReason": "AI 裁决：异议成立。断言将课标原文中‘合理应用统计图表和平均数’改写为‘合理应用统计图表’，丢掉了核心要求‘平均数’，使得断言不完整，未能忠实反映课标对学生能力的要求。（裁决者看得到课标原文，挑错者看不到 —— 见 tools/adjudicate.py）"}
{"discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "type": "CONCEPTUAL", "literacy": ["数据分析"], "cognitive": "应用", "stageHint": {"min": "G3", "max": "G4"}, "evidence": ["能根据条形统计图回答“哪个月销量最高”并说明理由", "能计算三个数的平均数并解释其代表的“一般水平”", "课标例41「同学身高数据的整理与分析」：学校每年都要测量学生的身高，这为学习统计提供了很好的数据资源，希望学生把每年测量身高的数据都保留下来，可以根据不同年级学生的学习要求，分析不同的问题。在第二学段，学生可以直接发现数据提供的信息，如最高（最大值）、最矮（最"], "assessment": "{{name}}，你能看懂图表里的信息，也能算出平均数吗？", "evidenceSource": "curriculum-example", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 45, "srcStage": "第二学段", "srcAgree": "0.99", "srcText": "（6）能在简单的实际情境中，合理应用统计图表和平均数（例41），形成初步的数据意识和应用意识。", "method": "atomize/atomize-substring", "exampleRefs": [41], "crosscuttingWhy": "运用统计图表分析数据中的规律与数量关系", "splitFrom": "ca_d4Rxr7z5"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "patterns"], "practice": ["analyzing-data", "math-computational"], "id": "ca_ukzubxSe", "statement": "能在简单的实际情境中，合理应用平均数", "verb": "应用", "object": "平均数", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：‘合理应用平均数’无法判定具体孩子‘会/不会’，缺少可观察的行为动词和具体任务标准"}, {"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据中‘课标例41’部分是课程资源说明和教学建议，不是学生能力描述"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生‘能在简单的实际情境中，合理应用统计图表和平均数’，断言‘能在简单的实际情境中，合理应用平均数’是对此的忠实转述，且‘能应用’本身是可观察的行为动词。", "quote": "能在简单的实际情境中，合理应用统计图表和平均数（例41），形成初步的数据意识和应用意识。", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
{"discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "type": "CONCEPTUAL", "literacy": ["数据意识", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给定数据绘制出条形统计图并标注标题、轴标签和刻度", "能根据给定数据绘制出折线统计图并正确连接各数据点"], "assessment": "{{name}}，你能把一组数据画成条形图和折线图吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 47, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能根据问题的需要，从报纸、杂志、电视、互联网等媒体上获取数据，或者通过其他合适的方式获取数据，能把数据整理成条形统计图、折线统计图，知道条形统计图、折线统计图和扇形统计图的功能，会解释统计图表达的意义，能根据结果作出简单的判断和预测。", "method": "atomize/atomize-substring", "crosscuttingWhy": "识别数据规律并用数学工具呈现", "splitFrom": "ca_7GA5cZwn"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "id": "ca_YD26xMwv", "statement": "能把数据整理成条形统计图", "verb": "整理", "object": "成条形统计图", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "type": "CONCEPTUAL", "literacy": ["数据意识", "应用意识"], "cognitive": "掌握", "stageHint": {"min": "G5", "max": "G6"}, "evidence": ["能根据给定数据绘制出条形统计图并标注标题、轴标签和刻度", "能根据给定数据绘制出折线统计图并正确连接各数据点"], "assessment": "{{name}}，你能把一组数据画成条形图和折线图吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 47, "srcStage": "第三学段", "srcAgree": "0.00", "srcText": "能根据问题的需要，从报纸、杂志、电视、互联网等媒体上获取数据，或者通过其他合适的方式获取数据，能把数据整理成条形统计图、折线统计图，知道条形统计图、折线统计图和扇形统计图的功能，会解释统计图表达的意义，能根据结果作出简单的判断和预测。", "method": "atomize/atomize-substring", "crosscuttingWhy": "识别数据规律并用数学工具呈现", "splitFrom": "ca_7GA5cZwn"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "id": "ca_XqaYvfEL", "statement": "能把数据整理成折线统计图", "verb": "整理", "object": "成折线统计图", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "type": "REPRESENTATIONAL", "literacy": ["数感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确写出√16=4和³√-8=-2", "能解释√5和-√5互为相反数而非仅大小不同"], "assessment": "你能请{{name}}用根号表示几个数的平方根或立方根，并说说它们之间的区别吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道平方根、算术平方根、立方根的概念，会用根号表示平方根、算术平方根、立方根；", "method": "atomize/atomize-substring", "crosscuttingWhy": "识别运算模式，处理量级关系，运用数学符号", "splitFrom": "ca_6LbeLBvu"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "id": "ca_KwiJJFSX", "statement": "会用根号表示平方根", "verb": "表示", "object": "平方根", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "type": "REPRESENTATIONAL", "literacy": ["数感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确写出√16=4和³√-8=-2", "能解释√5和-√5互为相反数而非仅大小不同"], "assessment": "你能请{{name}}用根号表示几个数的平方根或立方根，并说说它们之间的区别吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道平方根、算术平方根、立方根的概念，会用根号表示平方根、算术平方根、立方根；", "method": "atomize/atomize-substring", "crosscuttingWhy": "识别运算模式，处理量级关系，运用数学符号", "splitFrom": "ca_6LbeLBvu"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "id": "ca_JHBE9uu4", "statement": "会用根号表示算术平方根", "verb": "表示", "object": "算术平方根", "reviewedBy": []}
{"discipline": "数学", "track": "DAG", "strand": "数与代数", "topic": null, "dimension": null, "type": "REPRESENTATIONAL", "literacy": ["数感", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确写出√16=4和³√-8=-2", "能解释√5和-√5互为相反数而非仅大小不同"], "assessment": "你能请{{name}}用根号表示几个数的平方根或立方根，并说说它们之间的区别吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 65, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "知道平方根、算术平方根、立方根的概念，会用根号表示平方根、算术平方根、立方根；", "method": "atomize/atomize-substring", "crosscuttingWhy": "识别运算模式，处理量级关系，运用数学符号", "splitFrom": "ca_6LbeLBvu"}, "schemaVersion": "0.1.0", "crosscutting": ["patterns", "scale-proportion"], "practice": ["math-computational"], "id": "ca_uKxKjXHr", "statement": "会用根号表示立方根", "verb": "表示", "object": "立方根", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "【裁决为不成立】原异议：掌握证据混淆了平方根（√16=4）与立方根（³√-8=-2），且未提供立方根概念或符号本身的掌握证据，无法判断学生是否真正掌握根号表示立方根的能力"}], "adjudication": {"verdict": "overrule", "why": "课标原文明确要求学生‘会用根号表示立方根’，该断言是对此要求的忠实转述。意见中关于‘证据混淆’的质疑，是针对具体教学或评估材料的，而非针对断言本身是否符合课标。断言本身是成立的。", "quote": "知道平方根、算术平方根、立方根的概念，会用根号表示平方根、算术平方根、立方根；", "method": "裁决者看课标原文，挑错者看不到；引文逐字核对过"}}
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{"discipline": "数学", "track": "DAG", "strand": "统计与概率", "topic": null, "dimension": null, "type": "PROCEDURAL", "literacy": ["数据观念", "运算能力"], "cognitive": "掌握", "stageHint": {"min": "G7", "max": "G9"}, "evidence": ["能正确计算一组数据的中位数、众数和加权平均数，并解释计算过程", "能根据数据特点选择合适的统计量，并说明理由"], "assessment": "{{name}}能正确计算一组数据的中位数、众数和加权平均数，并解释计算过程吗？", "evidenceSource": "llm-draft", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "provenance": {"srcSubject": "数学", "srcPage": 82, "srcStage": "第四学段", "srcAgree": "1.00", "srcText": "能计算一组数据的中位数、众数、加权平均数，知道计算加权平均数的分布式计算方法，知道中位数、众数、平均数都能刻画这组数据的集中趋势以及它们各自的特点；", "method": "atomize/atomize-substring", "crosscuttingWhy": "计算统计量，运用数学与分析数据", "splitFrom": "ca_4F2ZC5am"}, "schemaVersion": "0.1.0", "crosscutting": ["scale-proportion", "patterns"], "practice": ["math-computational", "analyzing-data"], "id": "ca_LYrVRQM5", "statement": "能计算一组数据的众数", "verb": "计算", "object": "一组数据的众数", "reviewedBy": [], "aiIssues": [{"type": "resolved", "detail": "课标正文标了学段且与标注一致 —— 模型的意见不能盖过课标"}]}
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{"discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "统计与概率", "dimension": "数据意识", "type": "CONCEPTUAL", "literacy": ["数据意识"], "cognitive": "理解", "stageHint": {"min": "G5", "max": "G6"}, "courseType": null, "evidence": ["能说出两个生活中随机现象的例子，如抛硬币、摸彩票", "能解释这两个例子中哪个结果更可能发生，并说明理由"], "assessment": "{{name}}能举出两个随机现象的例子吗？", "evidenceSource": "capability-rewrite", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "crosscutting": ["patterns", "scale-proportion"], "practice": ["explaining-designing"], "provenance": {"derivedFrom": "ca_Ii5gbk4U", "method": "capability-rewrite/atomize-substring", "why": "这条能力要求学生将‘随机现象可能性可预测’的知识，应用于具体实例的判断和比较，其行为（举例并说明）是旁观者可观察和判定的。", "srcSubject": "数学", "srcPage": 48, "srcText": "让学生感知，许多随机现象发生可能性的大小是可以预测的", "crosscuttingWhy": "识别随机现象规律并比较可能性大小", "srcPageFrom": "extract-intermediate", "splitFrom": "ca_jQVMHu9D"}, "schemaVersion": "0.1.0", "topicFrom": "curriculum-page-index", "id": "ca_d9HY2WWq", "statement": "能举出两个随机现象的例子", "verb": "举出", "object": "两个随机现象的例子", "reviewedBy": [], "evidenceDrafted": true}
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{"discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "几何直观", "type": "CONCEPTUAL", "literacy": ["几何直观"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "courseType": null, "evidence": ["在几何图形中正确标注出直径所对的圆周角", "说明该角的度数为90度或直角"], "assessment": "{{name}}能在圆里指出直径所对的圆周角，并说出它是90度吗？", "evidenceSource": "capability-rewrite", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "crosscutting": ["structure-function", "patterns"], "practice": ["explaining-designing"], "provenance": {"derivedFrom": "ca_xaJFEOfI", "method": "capability-rewrite/atomize-substring", "why": "这条能力要求学生应用“直径所对的圆周角是直角”这一知识，在具体情境中识别并描述该角，是可观察和判定的行为。", "srcSubject": "数学", "srcPage": 74, "srcText": "直径所对的圆周角是直角", "crosscuttingWhy": "识别几何结构特征并解释其性质", "srcPageFrom": "extract-intermediate", "splitFrom": "ca_Vbi4kGKF"}, "schemaVersion": "0.1.0", "topicFrom": "curriculum-page-index", "id": "ca_mfkqXvbL", "statement": "能指出给定圆中直径所对的圆周角", "verb": "指出", "object": "给定圆中直径所对的圆周角", "reviewedBy": []}
{"discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "图形与几何", "dimension": "几何直观", "type": "CONCEPTUAL", "literacy": ["几何直观"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "courseType": null, "evidence": ["在几何图形中正确标注出直径所对的圆周角", "说明该角的度数为90度或直角"], "assessment": "{{name}}能在几何图里标出直径所对的圆周角，并说出它是90度吗？", "evidenceSource": "capability-rewrite", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "crosscutting": ["structure-function", "patterns"], "practice": ["explaining-designing"], "provenance": {"derivedFrom": "ca_xaJFEOfI", "method": "capability-rewrite/atomize-substring", "why": "这条能力要求学生应用“直径所对的圆周角是直角”这一知识，在具体情境中识别并描述该角，是可观察和判定的行为。", "srcSubject": "数学", "srcPage": 74, "srcText": "直径所对的圆周角是直角", "crosscuttingWhy": "识别几何结构特征并解释其性质", "srcPageFrom": "extract-intermediate", "splitFrom": "ca_Vbi4kGKF"}, "schemaVersion": "0.1.0", "topicFrom": "curriculum-page-index", "id": "ca_er4da4jH", "statement": "能说明给定圆中直径所对的圆周角的度数", "verb": "说明", "object": "给定圆中直径所对的圆周角的度数", "reviewedBy": []}
{"discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "统计与概率", "dimension": "数据意识", "type": "CONCEPTUAL", "literacy": ["数据意识"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "courseType": null, "evidence": ["举例说出掷一枚均匀硬币正面朝上与掷一枚骰子出现6点这两个事件，并比较其可能性大小", "用‘很可能’、‘不太可能’等语言或具体分数、百分数描述两个不同事件的发生概率"], "assessment": "{{name}}能举出两个例子，比如掷硬币和掷骰子，说明它们发生的可能性大小不同吗？", "evidenceSource": "capability-rewrite", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "provenance": {"derivedFrom": "ca_HoNtLGQO", "method": "capability-rewrite/atomize-substring", "why": "这条能力要求学生将概率概念应用于具体实例，通过举例和描述行为来外化其对‘可能性大小度量’的理解。", "srcSubject": "数学", "srcPage": 83, "srcText": "理解概率是对随机事件发生可能性大小的度量", "crosscuttingWhy": "识别概率模式并量化比较大小", "srcPageFrom": "extract-intermediate", "splitFrom": "ca_L5zx25rS"}, "schemaVersion": "0.1.0", "topicFrom": "curriculum-page-index", "id": "ca_n6hq6DFs", "statement": "能举出两个例子，说明其中发生的可能性大小不同", "verb": "说明", "object": "其中发生的可能性大小不同", "reviewedBy": []}
{"discipline": "数学", "track": "MATRIX", "strand": "学科内容", "topic": "统计与概率", "dimension": "数据意识", "type": "CONCEPTUAL", "literacy": ["数据意识"], "cognitive": "理解", "stageHint": {"min": "G7", "max": "G9"}, "courseType": null, "evidence": ["能用0到1之间的数或“很可能”“不太可能”等词语，描述一个随机事件发生的可能性大小。", "能比较两个事件的概率大小，并说明哪个事件发生的可能性更大。"], "assessment": "{{name}}能用概率数值或语言描述其大小吗？", "evidenceSource": "capability-rewrite", "reviewStatus": "ai-reviewed", "deprecated": false, "supersededBy": null, "crosscutting": ["patterns", "scale-proportion"], "practice": ["analyzing-data", "math-computational"], "provenance": {"derivedFrom": "ca_HoNtLGQO", "method": "capability-rewrite/atomize-substring", "why": "这条能力要求学生将概率概念应用于具体实例，通过举例和描述行为来外化其对‘可能性大小度量’的理解。", "srcSubject": "数学", "srcPage": 83, "srcText": "理解概率是对随机事件发生可能性大小的度量", "crosscuttingWhy": "识别概率模式并量化比较大小", "srcPageFrom": "extract-intermediate", "splitFrom": "ca_L5zx25rS"}, "schemaVersion": "0.1.0", "topicFrom": "curriculum-page-index", "id": "ca_2agwgxaY", "statement": "能用概率数值或语言描述其大小", "verb": "描述", "object": "其大小", "reviewedBy": [], "evidenceDrafted": true}