1. ©Evergreen Public Schools 2010
Using Algebra Tiles
Advice:  use the tiles.
Vocabulary
expression
opposite
zero pair
7/14/11
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2. Introduction to Algebra Tiles
5-2 Intro to Algebra Tiles powerpoint
Introduction to Algebra Tiles
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3. In this lesson you will work
5-2 Intro to Algebra Tiles powerpoint
In this lesson you will work
By yourself
With a partner.
Your partner is __________________.
Be prepared to assign partners. Students will have 3 different partners in these three lessons
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4. 2-7 Solving Equations With Algebra Tiles powerpoint
Learning Target
I can represent algebraic expressions using algebra tiles.
What do you remember about the chipboard model?
M1.3.A Write and solve linear equations and inequalities in one variable.
Most students used a chipboard model in CMP in 7th grade with black and red chips. They work just like the “ones” pieces with algebra tiles.
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5. ©Evergreen Public Schools 2010
Launch
Remember the pool border problem?
Write the expressions for these diagrams.
Are these expressions equivalent?
How do you know?
4s + 4 and 4(s + 1)
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6. Algebra Tiles Just Watch for now
5-2 Intro to Algebra Tiles powerpoint
Algebra Tiles
Just Watch for now
No Algebra Tiles yet!
Do not pass out the algebra tiles yet.
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7. ©Evergreen Public Schools 2010
5-2 Intro to Algebra Tiles powerpoint
Algebra Tiles
But, let’s learn how to use algebra tiles.
Teachers found that many students who needed to use algebra tiles would not if given the choice. Require all students to represent algebraic expressions with algebra tiles at the beginning and then allow choice as they prove their symbolic skill.
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8. ©Evergreen Public Schools 2010
Algebra Tiles
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 1 1
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9. ©Evergreen Public Schools 2010
Algebra Tiles
What are the lengths of the sides of this new rectangle?
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10. ©Evergreen Public Schools 2010
Algebra Tiles
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”. x 1
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11. ©Evergreen Public Schools 2010
Algebra Tiles x 1
What is the area of the rectangle?
The area is
1(x) = x
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12. ©Evergreen Public Schools 2010
Algebra Tiles
Do you know what we call this?
What are the lengths of the sides of this new rectangle?
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13. ©Evergreen Public Schools 2010
Algebra Tiles
What are the lengths of the sides of this new rectangle?
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14. ©Evergreen Public Schools 2010
Algebra Tiles x
What are the lengths of the sides of this new rectangle?
The base is x.
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15. ©Evergreen Public Schools 2010
Algebra Tiles x
What are the lengths of the sides of this new rectangle?
The base is x.
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16. ©Evergreen Public Schools 2010
Algebra Tiles x
What are the lengths of the sides of this new rectangle?
The base is x.
The height is also x.
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17. ©Evergreen Public Schools 2010
Algebra Tiles x x
What is the area of the rectangle?
The area is
x (x) = x2
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18. Algebra Tiles What is the area of each rectangle?1 1
What is the area of each rectangle? 1 x x 1 x x2 x
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19. ©Evergreen Public Schools 2010
Explore
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20. Algebra Tiles What is the opposite?
Flip it
over to find out
-(1) -1
The opposite of 1 is -1
For the red x tile, just have students find the tile and flip it over to find the opposite.
-(-x) x
The opposite of –x is x.
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21. Algebra Tiles What is the area of each rectangle?
5-2 Intro to Algebra Tiles powerpoint
Algebra Tiles
What is the area of each rectangle? 1 -1 1 x -x 1 x
FYI: -x^2 is not (-x^2), but it is the opposite of x^2.
-x2 x
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22. Algebra Tiles What is the opposite?
Make like a pancake
-(-5) 5
The opposite of –(-5) is 5
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23. Algebra Tiles What is the opposite?
You’ll flip for it!
-(3x)
-3x
The opposite of 3x is -3x.
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24. Write an expression for the area covered by the Algebra Tiles.5
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25. Algebra Tiles Simplify
5 + (-5)
5 + (-5) = 0
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26. Algebra Tiles These are zero pairs
1 + (-1) = 0
x + (-x) = 0
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27. ©Evergreen Public Schools 2010
5-2 Intro to Algebra Tiles powerpoint
Supplies
Each person needs a bag of Algebra Tiles
Pass out a bag of tiles to each student.
It is very important to give all students a bag and require all students to use them.
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28. 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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29. ©Evergreen Public Schools 2010
5-2 Intro to Algebra Tiles powerpoint
Enough Play
Let’s get to work :-)
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30. Make the expressions with algebra tiles
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31. Algebra Tiles How can we draw algebra tiles?
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32. Draw the algebra tiles Be prepared to share at the doc cam. 2x + 5
2x2 – 3x – 1
You need paper and pencil.
Now Compare your work with your partner.
Be prepared to share at the doc cam.
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33. ©Evergreen Public Schools 2010
Debrief
How do algebra tiles represent algebraic expressions?
Why do you think we use algebra tiles?
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34. ©Evergreen Public Schools 2010
2-7 Solving Equations With Algebra Tiles powerpoint
Learning Target 5 3 1 2 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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35. Practice Practice 5.1 Expressions with Algebra Tiles
Practice 5.1A is from a website and shows how to use tiles. Could be good for students who were absent.
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