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

7/14/11©Evergreen Public Schools

2010

1

Using Algebra Tiles

Advice: use the tiles.

Vocabularyexpressionopposite zero pair

©Evergreen Public Schools 2010

2

Introduction to Algebra Tiles


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In this lesson you will work

• By yourself

• With a partner.

• Your partner is __________________.


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I can represent algebraic expressions using algebra tiles.

What do you remember about

the chipboard model?


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LaunchLaunchLaunchLaunchRemember the pool border problem?

Write the expressions for these diagrams.

Are these expressions equivalent?

How do you know?


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Just Watch for now

No Algebra Tiles yet!

Algebra TilesAlgebra Tiles


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But, let’s learn how to use algebra tiles.


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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


11


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What are the lengths of the sides of this new rectangle?


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The length of the shorter side is 1.

What’s the length of the longer side?

I don’t know either, so we say it’s “x”.


1x


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What is the area of the rectangle?

The area is

1(x) = x

1

x


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13




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The base is x.

x


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The base is x.

x


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The base is x.

The height is also x.

x


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What is the area of the rectangle?

The area is

x (x) = x2

x

x


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What is the area of each

rectangle?

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1x

x

x

1

x

x2


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What is the opposite?Flip it

over to find out

Flip itover to

find out -(1) -1

The opposite of 1 is -1

-(-x) xThe opposite of –x is x.



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What is the area of each

rectangle?

11

1x

x

x

-1

-x

-x2


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What is the opposite?

-(-5) 5

The opposite of –(-5) is 5

Make like a

pancake

Make like a

pancake



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What is the opposite?

-(3x) -3x

The opposite of 3x is -3x.

You’ll flip for

it!

You’ll flip for

it!



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Write an expression for the area covered by the Algebra

Tiles.

5



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Simplify

5 + (-5) = 0

5 + (-5)



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These are zero pairs

1 + (-1) = 0

x + (-x) = 0



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SuppliesEach person needs a bag of Algebra Tiles


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Let’s 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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Enough Play

Let’s get to work :-)


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Make the expressions with algebra tiles

2x + 5

x2 + (-6)


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How can we draw algebra tiles?



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2x + 5

x2 + (-6)

x2 – 6

2x2 – 3x – 1

You need paper and

pencil.

You need paper and

pencil.

Be prepared to share at the doc

cam.

Draw the algebra tilesDraw the algebra tiles

Now Compare your work with your partner.

Now Compare your work with your partner.


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DebriefDebrief

How do algebra tiles represent algebraic expressions?

Why do you think we use algebra tiles?


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5

3

12

4

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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PracticePractice

Practice 5.1 Expressions with Algebra Tiles

Documents

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