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Introduction to Algebra Introduction to Algebra TilesTiles
There are 3 types of tiles . . .There are 3 types of tiles . . .
The “Little” SquareThe “Little” Square
Has a length side of one
1
1
1
1
What is the area of the square?
1
This is called the unit square – it stands for ONEThis is called the unit square – it stands for ONE
The RectangleThe Rectangle
Has a length side of one
1
x
What is the area of the rectangle?
This rectangle is called xThis rectangle is called x
1
and x
x
The “Big” SquareThe “Big” Square
Has a length side of x
x
xWhat is the area of the square?
This square is called xThis square is called x²²
x x² x
x
There are 3 types of tiles . . .There are 3 types of tiles . . .So, what about the SHADED ones?
They represent the inverse or the negatives
-1
-x -x²
Quick QuizQuick Quiz
What do the tiles represent?What do the tiles represent?
What polynomial do the tiles below What polynomial do the tiles below represent?represent?
1. 4x 2. 4
3. 4x² 4. Not here
What expression do the tiles below What expression do the tiles below represent?represent?
1. 5x – 3 2. 5x
3. -5x + 3 4. Not here
What expression do the tiles below What expression do the tiles below represent?represent?
1. 6x + 7 2. -2x² - 4x + 7
3. -x² - 4x + 7 4. Not here
Zero Pairs
-1
-x-x² x² x
1
What expression do the tiles below What expression do the tiles below represent?represent?
1. -x + 1 2. 5x + 3
3. x – 1 4. Not here
What expression do the tiles below What expression do the tiles below represent?represent?
1. 2x² - 2x +7 2. - 2x + 3
3. -x² +2x + 3 4. Not here
How would you model the expression How would you model the expression 4x4x² - 5x + 6?² - 5x + 6?
1. Four shaded big squares, five shaded rectangles, and six white little squares
2. Four white squares, five white rectangles, and six shaded little squares
3. Four white squares, five shaded squares, and six white squares
4. Four white squares, five shaded rectangles, and six white little squares
How would you model the expression How would you model the expression -3x-3x² + 10x - 1?² + 10x - 1?
1. three shaded big squares, ten shaded rectangles, and one white little square
2. three shaded big squares, ten white rectangles, and one white little square
3. Three shaded big squares, ten white squares, and one shaded little square
4. Three shaded big squares, ten white rectangles, and one shaded little square
