Algebra Tiles

Pronunciation: /ˈæl dʒə brə taɪlz/ Explain

Algebra tiles are square and rectangular tiles used to represent algebraic principles. The small square tiles represent an area of 1. The small square tiles are unitary; the small tiles define one square unit.

]

The rectangular tiles represent and area of x. The short side has a length of 1, and the long side has a length of x. Using the formula for the area of a rectangle (A = l x w), A = 1·x = x, the area of a rectangular tile is x.

The large square tiles represent an area of x2. Each side has a length of x. Using the formula for the area of a square (A = s2), A = x2. The area of the large square tiles is x2.

Dynamic Algebra Tiles

Manipulative 1 shows dynamic algebra tiles representing (2x+3)(x+1)=2x^2+5x+3. Click on the blue point in manipulative 1 and drag it to change the figure.

Click on the blue point and drag it to change the figure.

Examine the manipulative to see how algebra tiles work.
Manipulative 1 - Algebra Tiles Created with GeoGebra.

More Information

  • Algebra Tiles. mathbits.com. Math Bits. Frederick and Donna Roberts. 6/19/2018. http://mathbits.com/MathBits/AlgebraTiles/IntroductionPage.pdf.

Educator Resources

  • McAdams, David E.. Algebra Tiles. www.lifeisastoryproblem.com. 11/11/2009. http://www.lifeisastoryproblem.com/algebra/algebratiles.pdf.

Cite this article as:

McAdams, David E. Algebra Tiles. 7/10/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/algebratiles.html.

Image Credits

Revision History

6/13/2018: Removed broken links, changed Geogebra links to work with Geogebra 5, updated license, implemented new markup. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License