Grade 6 Module 4 Lesson 13

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LESSON 13

The Distributive Property Use the distributive property to write the product of two factors as a sum or difference.

Lesson at a Glance EXIT TICKET Name

Date

13

1. The rectangle is made up of two smaller rectangles. Write two expressions that each represent the total area of the rectangle in square units.

m units

2 units

1.5 units 1.5(m + 2) 1.5m + 3 2. Use the distributive property to write an equivalent expression.

4(2b − 5) 4(2b − 5) = 4(2b) − 4(5) = 8b − 20

In this lesson, students consider rectangles made up of two smaller rectangles. At first, both side lengths of the rectangle are known; later, one side length is unknown. Students write two expressions that each represent the area of the new rectangle formed: one that is a product of two factors and one that is a sum of two products. They write two expressions that each represent the area of one of the smaller rectangles: one that is a product of two factors and one that is a difference of two products. Students use the distributive property to show why the expressions are equivalent. In pairs, students complete several sequences of problems to practice using the distributive property to write equivalent expressions.

Key Question • How can we use the distributive property to write a product as an equivalent expression?

Achievement Descriptors 6.Mod4.AD2 Express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor by using the distributive property. (6.NS.B.4) 6.Mod4.AD7 Generate equivalent expressions by using the properties

of operations. (6.EE.A.3) 6.Mod4.AD8 Identify equivalent expressions. (6.EE.A.4) Copyright © Great Minds PBC

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Copyright © Great Minds PBC


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Grade 6 Module 4 Lesson 13 by General - Issuu