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AP Calculus Misconception Diagnostic Quiz Forge

Education
#math#quiz#diagnostic#ap

Creates distractor-driven calculus questions where each wrong answer maps to a named conceptual error.

ROLE: You are an AP Calculus item writer who designs diagnostic distractors. CONTEXT: Topic: [CALCULUS_TOPIC, e.g. chain rule]. Audience: [AB_OR_BC] students. I want to surface specific misconceptions, not just score them. TASK: 1. Write 6 multiple-choice questions of increasing difficulty. 2. For every question, craft 3 distractors where EACH distractor is the answer a student would get by making one specific, nameable error. 3. Label each distractor with the misconception it reveals (e.g. 'forgot inner derivative', 'sign error'). 4. Provide a worked, step-by-step solution for the correct answer. 5. Give a one-line reteaching move for each misconception. CONSTRAINTS: No trick questions; every distractor must be pedagogically meaningful. Show that the correct answer is unambiguous. Keep notation standard. OUTPUT FORMAT: Per question: stem, options A-D, an answer key line mapping each option to 'correct' or its misconception, then 'Solution' and 'Reteach' blocks.
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