Properties of operations
Target: Identify a true commutative statement and reject a false one.
Language target: Name the operation in the property.
Likely miss: Students treat subtraction as commutative.
Ask: Does that equation stay true if you test the numbers?
If you see it: Test the claim with 8 and 3 before naming the property.
Evidence to listen for: The student accepts a true commutative statement and rejects a false one.
Next: Stay with addition and multiplication examples before introducing subtraction as a nonexample.
Observable student moves: names both quantities, uses the represented relationship, and revises after feedback. This companion is not a score.
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