In this Grade 6 lesson from Chapter 3 of enVision Mathematics, students learn how to identify and write equivalent algebraic expressions using the Commutative, Associative, and Distributive Properties. They practice expanding expressions like 3(4x − 1) into 12x − 3 and factoring expressions like 2x + 4 into 2(x + 2), building fluency with Common Core standards 6.EE.A.3 and 6.EE.A.4. Students also use substitution to verify whether two expressions are equivalent by confirming they produce the same value for any value of the variable.
Section 1
Properties of Operations for Generating Equivalent Expressions
Two algebraic expressions are equivalent if one can be transformed into the other using rules of arithmetic.
Commutative Property: The order does not change the result.
and
Associative Property: The grouping does not change the result.
and
Expand to review the lesson summary and core properties.
Section 1
Properties of Operations for Generating Equivalent Expressions
Two algebraic expressions are equivalent if one can be transformed into the other using rules of arithmetic.
Commutative Property: The order does not change the result.
and
Associative Property: The grouping does not change the result.
and