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**Expressions and Equations**

6.EE.3 Distributive Property

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Looking at Area Area of a rectangle can be written as an expression of the length x width or lw. One or more of the dimensions may even be represented with a variable. Write the expressions for #1-7 on your worksheet.

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Looking at length The length of a segment that has two parts can be written as a sum…. Complete # 8-10 on your worksheet.

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Putting it Together The area of a rectangle made of two rectangles can be written two ways: As a product written as the expression w (l + l) As a sum of the two rectangles lw + lw Complete #11-13 at your tables and compare answers.

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**The Distributive Property**

The Distributive Property allows us to write equivalent expressions:

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Practice and Apply Try this: Use the distributive property to rewrite each as a sum. #14 4(x + 7) = #15 7(x - 3) = Now complete #16-21 on your own. Your teacher will tell you to change questions #16 and #20. Listen carefully!

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**Applying the Distributive Property**

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Another Example

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FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)

FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)

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