1. Let’s Get A Few Things Straight
Before you Begin . . .
Let’s Get A Few Things Straight

2. What does this tile represent?1 x
C. x²
D. I have no idea what you are talking about

3. What does this tile represent?x -x
C. x²
D. I have no idea what you are talking about

4. What do these tiles represent?
-2x²
B. 2x²
C. 1x²
D. 0

5. Multiplying Polynomials
Using Algebra Tiles

6. How do we find the area of a rectangle?

7. Find the area of the rectangle
x + 3
x + 1
A =
( )
( )

8. What do you need?
x + 1
x + 3
The length
The width

9. Find the Area (the inside)
Set up the Parameters
What is the Area?
Find the Area (the inside)
x + 3
x + 1
x² + 4x + 3

10. Can you answer this?
What tiles are needed to determine the perimeter of the rectangle with width 3x – 2 and length -2x + 5. A. B.

11. Find the area of the rectangle
2x + 2
x + 2

12. What do you need?
x + 2
2x + 2

13. Find the Area (the inside)
Set up the Perimeters
What is the Area?
Find the Area (the inside)
2x + 2
x + 2
2x² + 6x + 4

14. Find the area of the rectangle
x - 2
x + 3

15. What do you need?
x - 2
x + 3

16. Find the Area (the inside)
x + 3
x - 2
x² + x - 6

17. Find the area of the rectangle
-2x + 1
-x - 4

18. What do you need?
-x - 4
-2x + 1

19. Find the Area (the inside)
Set up the Perimeters
What is the Area?
Find the Area (the inside)
-2x + 1
-x - 4
2x² + 7x - 4

20. Algebra Tiles to the Box Method
Making the Link 2x +2 x
2x² 2x +2 4x 4
Algebra Tiles to the Box Method

21. Find the area of the square
-2x + 3

22. The Set – Up
-2x +3
4x²
-2x
-6x
-6x 9 +3

23. The Link A A b b A A   b b  

24. Quick Quiz
Did you learn anything?

25. What belongs here?
A. 3x
B. 2x
C. -3x
D. -3x³ ?

26. Find the missing pieces
A. 6x
B. 4x
C. -6x
D. -4x ? ?

27. What is the area? A. 2x² - 2x - 4 B. -2x² - 6x - 4 C. 2x² + 4x - 4
D. Not Here

28. Multiply 6x – 3 and 4x + 10 A. 24x² - 48x +30 B. 24x² + 30
C. 24x² - 30
D. 24x² + 48x - 30