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 x^{2}. Each side has a length of x. Using the formula for the area of a square (A = s^{2}), A = x^{2}. The area of the large square tiles is x^{2}.
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. |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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