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7/14/11 ©Evergreen Public Schools 2010 1 Using Algebra Tiles Advice: use the tiles. Vocabulary expression opposite zero pair

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©Evergreen Public Schools 2010 2 Introduction to Algebra Tiles

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©Evergreen Public Schools 2010 3 In this lesson you will work By yourself With a partner. Your partner is __________________.

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©Evergreen Public Schools 2010 4 Learning Target I can represent algebraic expressions using algebra tiles. What do you remember about the chipboard model?

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©Evergreen Public Schools 2010 5 LaunchLaunch Remember the pool border problem? Write the expressions for these diagrams. Are these expressions equivalent? How do you know?

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©Evergreen Public Schools 2010 6 Just Watch for now No Algebra Tiles yet! Algebra Tiles

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©Evergreen Public Schools 2010 7 Algebra Tiles But, lets learn how to use algebra tiles.

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©Evergreen Public Schools 2010 8 Do you know what we call this? The lengths of the sides of this square is 1. What is the area of the square? 1 Algebra Tiles 1 1

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©Evergreen Public Schools 2010 9 Algebra Tiles What are the lengths of the sides of this new rectangle?

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©Evergreen Public Schools 2010 10 Do you know what we call this? What are the lengths of the sides of this new rectangle? The length of the shorter side is 1. Whats the length of the longer side? I dont know either, so we say its x. Algebra Tiles 1 x

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©Evergreen Public Schools 2010 11 Algebra Tiles What is the area of the rectangle? The area is 1( x ) = x 1 x

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©Evergreen Public Schools 2010 12 Algebra Tiles What are the lengths of the sides of this new rectangle? Do you know what we call this?

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©Evergreen Public Schools 2010 13 Algebra Tiles What are the lengths of the sides of this new rectangle?

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©Evergreen Public Schools 2010 14 Algebra Tiles What are the lengths of the sides of this new rectangle? The base is x. x

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©Evergreen Public Schools 2010 15 Algebra Tiles What are the lengths of the sides of this new rectangle? The base is x. x

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©Evergreen Public Schools 2010 16 Algebra Tiles What are the lengths of the sides of this new rectangle? The base is x. The height is also x. x

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©Evergreen Public Schools 2010 17 Algebra Tiles What is the area of the rectangle? The area is x ( x ) = x 2 x x

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©Evergreen Public Schools 2010 18 Algebra Tiles What is the area of each rectangle? 1 1 1 x x x 1 x x2x2

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©Evergreen Public Schools 2010 19 ExploreExplore

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©Evergreen Public Schools 2010 20 What is the opposite? Flip it over to find out Flip it over to find out -(1) The opposite of 1 is -1 -(- x ) x The opposite of – x is x. Algebra Tiles

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©Evergreen Public Schools 2010 21 Algebra Tiles What is the area of each rectangle? 1 1 1 x x x -x-x -x2-x2

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©Evergreen Public Schools 2010 22 What is the opposite? -(-5)5 The opposite of –(-5) is 5 Make like a pancake Algebra Tiles

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©Evergreen Public Schools 2010 23 What is the opposite? -(3 x )-3 x The opposite of 3 x is -3 x. Youll flip for it! Algebra Tiles

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©Evergreen Public Schools 2010 24 Write an expression for the area covered by the Algebra Tiles. 5 Algebra Tiles

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©Evergreen Public Schools 2010 25 Simplify 5 + (-5) = 05 + (-5) Algebra Tiles

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©Evergreen Public Schools 2010 26 These are zero pairs 1 + (-1) = 0 x + (- x ) = 0 Algebra Tiles

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©Evergreen Public Schools 2010 27 Supplies Each person needs a bag of Algebra Tiles

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©Evergreen Public Schools 2010 28 Lets play with the tiles Work alone Make a rectangle with the tiles. (Think of a rectangular pool border.) What is the perimeter of your rectangle? Make a design with connected tiles. What is the perimeter of your design?

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©Evergreen Public Schools 2010 29 Enough Play Lets get to work :-)

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©Evergreen Public Schools 2010 30 Make the expressions with algebra tiles 2 x + 5 x 2 + (-6)

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©Evergreen Public Schools 2010 31 How can we draw algebra tiles? Algebra Tiles

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©Evergreen Public Schools 2010 32 2 x + 5 x 2 + (-6) x 2 – 6 2 x 2 – 3 x – 1 You need paper and pencil. Be prepared to share at the doc cam. Draw the algebra tiles Now Compare your work with your partner.

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©Evergreen Public Schools 2010 33 Debrief How do algebra tiles represent algebraic expressions? Why do you think we use algebra tiles?

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©Evergreen Public Schools 2010 34 5 3 1 2 4 Learning Target Did you hit the target? I can represent algebraic expressions using algebra tiles. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

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©Evergreen Public Schools 2010 35 Practice Practice 5.1 Expressions with Algebra Tiles

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