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Properties of Operations in Simplified Expressions

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Properties of Operations in Simplified Expressions

TEKS Math: 6.7.D

(D) Generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.

CCSS Math: 6.EE.3

6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

This algebra and functions lesson focuses on identifying the commutative and associative properties in simplified expressions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the expressions as they are simplified. Then, they identify which property of addition was used to simplify them. They justify their answer by explaining that if the addends were put into different places in the expression, then it was commutative, while if the addends were grouped to add them together, it was associative. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 6.7.D

(D) Generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.

CCSS Math: 6.EE.3

6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.


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