# Algebra tiles

Algebra tiles are math manipulatives used especially in algebra to help students better visualize mathematics. Students who have bodily kinesthetic intelligence can especially benefit a lot by using algebra tiles.

## Types of algebra tiles

As you can see from the figure above,the blue square represents x2, the green rectangle represents x and the small black square represents 1.

You could also use a big red square to represent -x2, a yellow rectangle to represent -x, and a grey small square to represent -1.

It is up to the manufacturer, the publishing company who make the math book, and/or you the teacher to decide which colors you will use for students!

## How you could use algebra tiles to factor a quadratic equation.

Use algebra tiles to factor x2 + 5x + 6

Students need to use the following algebra tiles and make a square with them.

• Use 1 blue square (x2 = 1x2)
• 5 green rectangles (+ 5x)
• 6 black small squares (+6)

Students should end up with the following square

x2+ 5x + 6 = (x + 3)(x + 2)