Generate equivalent expressions. For example, apply the distributive property to the expression 3(2+ ) to produce the equivalent expression 6+3; apply the distributive property to the expression 24 +18 to produce the equivalent expression 6(4 +3 ); apply properties of operations to + + to produce the equivalent expression 3. Lesson 2: Generating Equivalent Expressions Student Outcomes Students generate equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property). Tyson created an equivalent expression to the problem using the following steps: 1 5 ?+ −1?+ 1 3 10 ?+ − 1 10 + − 1 10 − 4 5 ?+ 1 1 10 Is his final expression equivalent to the initial expression? Show how you know. If the two expressions are not equivalent, find Tyson’s mistake and correct it.
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