Domain: Cluster: Expressions and Equations Use properties of operations to generate equivalent expressions. MCC7.EE.1 What does this standard mean? Apply properties of operations as This is a continuation of work from 6th grade using properties of operations (CCSSM, table 3, strategies to add, subtract, factor, p. 90; reprinted below) and combining like terms. Students apply properties of operations and expand linear expressions with and work with rational numbers (integers and positive / negative fractions and decimals) to rational coefficients. write equivalent expressions. Mathematical Practice Examples and Explanations Standards Examples: 7.MP.2. Reason abstractly Write an equivalent expression for . and quantitatively. Suzanne thinks the two expressions and are equivalent? Is she correct? Explain why or why not? Write equivalent expressions for: . 7.MP.6. Attend to Possible solutions might include factoring as in, or other expressions such as . precision. A rectangle is twice as long as wide. One way to write an expression to find the perimeter would be 7.MP.7. Look for and . Write the expression in two other ways. make use of structure. Solution: OR . An equilateral triangle has a perimeter of. What is the length of each of the sides of the triangle? Solution:, therefore each side is units long. Suggested Instructional Strategy Model equivalent expressions such as and have students explain why all three are equivalent. 14x + 14 = 2(2x) + 2(7) = 2(2x + 7) Use manipulatives such as Algebra Tiles or candy to model equivalent expressions. Skill Based Task Problem Task Simplify the following linear expression. Which students correctly simplified the expressions? Justify your ½ x + reasoning. Fix all incorrectly simplified expressions.
Domain: Cluster: Expressions and Equations Use properties of operations to generate equivalent expressions. MCC7.EE.1 What does this standard mean? Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. This is a continuation of work from 6th grade using properties of operations (CCSSM, table 3, p. 90; reprinted below) and combining like terms. Students apply properties of operations and work with rational numbers (integers and positive / negative fractions and decimals) to write equivalent expressions. Examples and Explanations Mathematical Practice Standards Examples: Write an equivalent expression for . Suzanne thinks the two expressions and are equivalent? Is she correct? Explain why or why not? Write equivalent expressions for: . Possible solutions might include factoring as in, or other expressions such as . A rectangle is twice as long as wide. One way to write an expression to find the perimeter would be . Write the expression in two other ways. Solution: OR . An equilateral triangle has a perimeter of. What is the length of each of the sides of the triangle? Solution:, therefore each side is units long. 7.MP.2. Reason abstractly and quantitatively. 7.MP.6. Attend to precision. 7.MP.7. Look for and make use of structure. Suggested Instructional Strategy Model equivalent expressions such as and have students explain why all three are equivalent. 14x + 14 = 2(2x) + 2(7) = 2(2x + 7) Use manipulatives such as Algebra Tiles or candy to model equivalent expressions. Skill Based Task Problem Task Simplify the following linear expression. ½ x + Which students correctly simplified the expressions? Justify your reasoning. Fix all incorrectly simplified expressions.
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