ALGEBRA TILES. ALGEBRA TILES. Rachel Magnuson. By the end of this Show, you’ll be able to. . . . Define and explain algebra tiles Be able to use algebra tiles to factor Show how algebra tiles can model polynomials Be able to add and subtract polynomials using algebra tiles.
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How do they work?
Each tile represents a specific monomial.
Algebra tiles work by the concept that every rectangle has a length, width, and area. The lengths and the widths are the lengths of the sides of the rectangle in some unit. We will be working with unit x. The area is how many squares of that unit it takes to cover the rectangle.
Let’s take a look at factoring.
(5 x 7)
(4 x 9)
(7 x 7)
(B x A)
(Y x X)
(X x X)
Algebra Tiles are a geometric way to factor. Each size and shape tile has a specific value. This value is determined by the size of each side of a rectangle or square. If you recall, the area of a rectangle is length * width, the area of a square is side * side or s2.
1 – x2’s
3 – x’s
2 – 1’s
2 – x2’s
5 – x’s
2 – 1’s
Now lets try factoring these equations that are formed into rectangles. The first two examples will be done for you.