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.

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

Factor using algebra tiles

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

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: