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.
Manipulative 1 shows dynamic algebra tiles representing . Click on the blue point in manipulative 1 and drag it to change the figure.
|Manipulative 1: Dynamic algebra tiles. Created with GeoGebra.|
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