Worked Example With Error Traps
Learn a method through a solved problem and common mistakes.
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Teach me how to solve [PROBLEM_TYPE] through one fully worked example, then test me. Subject and level: [SUBJECT_AND_LEVEL]. Part 1, worked example: pick a typical problem. Solve it in numbered steps. After each step, add a line "Why:" that gives the reason, not just the action. Part 2, error traps: list the four most common mistakes students make on this type of problem. For each, show a wrong solution fragment, mark exactly where it goes wrong, and give the correction. Part 3, a similar problem for me: write one new problem that uses the same method but different numbers or context. Do not solve it. Wait for me to try. Part 4, a harder variant: describe, without solving it, what changes if one condition in the problem changes. When I send my attempt, check each step, say where my reasoning first went wrong, and tell me whether I should repeat this type or move on. Use plain language and show formulas in text.
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