Algebra Tiles

1
Algebra Tiles

• Jeffrey Bivin
• Lake Zurich High School
• Jeff.bivin_at_lz95.org

Last Updated October 11, 2005
2
X2 6x 9
x
1
1
1
1
1
1
x
x 3
Now, complete the square
1
9
1
1
x 3
Jeff Bivin -- LZHS
3
X2 5x 25/4
x
1
1
1
1
1
.5
x
x 5/2
Now, complete the square
1
25/4
1
.5
x 5/2
Jeff Bivin -- LZHS
4
X2 - 6x 9
x
1
1
1
1
1
1
1
1
1
x - 3
x
1
9
1
1
turn 1 square over
x - 3
turn 1 square over
turn 2 squares over
turn 2 squares over
turn 3 squares over
Jeff Bivin -- LZHS
5
X2 4x 4
x
1
1
1
1
x
x 2
Now, complete the square
1
4
1
x 2
Jeff Bivin -- LZHS
6
(x 3)(x 2)
x2 2x 3x 6
x2 5x 6
x 2
1
1
x
x2
2x
x
x 3
1
3x
6
1
1
Jeff Bivin -- LZHS
7
(x 2)(x 5)
x2 5x 2x 10
x2 7x 10
x 5
1
1
1
1
1
x
x2
5x
x
x 2
2x
1
10
1
Jeff Bivin -- LZHS
8
(x - 2)(x 3)
x2 3x - 2x 6
x2 x - 6
x 3
1
1
1
x
x2
3x
x
x 2
-2x
-6
1
1
Jeff Bivin -- LZHS
9
Jeff Bivin -- LZHS