7/14/11 ©evergreen public schools 2010 1 using algebra tiles advice: use the tiles. vocabulary...
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7/14/11©Evergreen Public Schools
2010
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Using Algebra Tiles
Advice: use the tiles.
Vocabularyexpressionopposite zero pair
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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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Algebra TilesAlgebra Tiles
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
Algebra TilesAlgebra Tiles
11
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Algebra TilesAlgebra Tiles
What are the lengths of the sides of this new rectangle?
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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.
What’s the length of the longer side?
I don’t know either, so we say it’s “x”.
Algebra TilesAlgebra Tiles
1x
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Algebra TilesAlgebra Tiles
What is the area of the rectangle?
The area is
1(x) = x
1
x
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Algebra TilesAlgebra Tiles
What are the lengths of the sides of this new rectangle?
Do you know what we call this?
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Algebra TilesAlgebra Tiles
What are the lengths of the sides of this new rectangle?
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Algebra TilesAlgebra Tiles
What are the lengths of the sides of this new rectangle?
The base is x.
x
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Algebra TilesAlgebra Tiles
What are the lengths of the sides of this new rectangle?
The base is x.
x
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Algebra TilesAlgebra 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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Algebra TilesAlgebra Tiles
What is the area of the rectangle?
The area is
x (x) = x2
x
x
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Algebra TilesAlgebra Tiles
What is the area of each
rectangle?
11
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.
Algebra TilesAlgebra Tiles
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Algebra TilesAlgebra Tiles
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?
-(-5) 5
The opposite of –(-5) is 5
Make like a
pancake
Make like a
pancake
Algebra TilesAlgebra Tiles
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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!
Algebra TilesAlgebra Tiles
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Write an expression for the area covered by the Algebra
Tiles.
5
Algebra TilesAlgebra Tiles
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These are zero pairs
1 + (-1) = 0
x + (-x) = 0
Algebra TilesAlgebra 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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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!