1. Connecting Algebra Tiles to Integer Tiles

2. Comparing Algebra Tiles to Integer Tiles
is a representation of +1 because it has an area of 1. Length = 1 Width = 1
is a representation of -1 because the size stays the same, but the sign/colour changes.
What relationships do you notice between the measurements of the integer tile and the algebra tiles?

3. Comparing Algebra Tiles to Integer Tiles1 x
The width of the rectangle is 1 and the length can be represented by x.
The length and width of the large square are the same as x.
Therefore, represents x, and
represents x2

4. Comparing Algebra Tiles to Integer Tiles
is +1
is -1
is +x
represents _____ -x
represents ____
represents ___
+x2
- x2

5. Representations of Zerox
= 0 1 –1 x2 x
= 0 –x x2
–x2
= 0

6. Representations of Integers
Illustrate each of the following terms. +3
Add 0.
Add 0. -2
Illustrate a different representation of each of these integers.

7. Representations of Terms
Illustrate each of the following terms.
+3x
-2x2
Draw a representation of 4x, -2x, 3x2, -5x2.

8. Representations of Algebraic Terms
-2x 4x
3x2
-5x2

9. Multiple Representations of 4x

10. Representing Polynomials
3x+1 1
-2x2-3 1 1 1
X2-3x+2 1 1