Introduction to Algebra Tiles

There are 3 types of tiles...

The “Little” Square Has a length side of one What is the area of the square? 1 This is called the unit square – it stands for ONE

The Rectangle Has a length side of one 1 x What is the area of the rectangle? This rectangle is called x 1 and x x

The “Big” Square Has a length side of x x x What is the area of the square? This square is called x² x x²x² x x

So, what about the SHADED ones? They represent the inverse or the negatives -x -x²

Quick Quiz What do the tiles represent?

What polynomial do the tiles below represent? 1. 4x x²4. Not here

What expression do the tiles below represent? 1. 5x – 32. 5x 3. -5x Not here

What expression do the tiles below represent? 1. 6x x² - 4x x² - 4x Not here

Zero Pairs -x -x² x²x²x 1

What expression do the tiles below represent? 1. -x x x – 14. Not here

What expression do the tiles below represent? 1. 2x² - 2x x x² +2x Not here

How would you model the expression 4x² - 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 -3x² + 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