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ALGEBRA TILES ALGEBRAIC MULTIPLICATION ► To multiply using algebra tiles, lay the factors in a rectangular array. ► Ex: 2 (x + 3) 2 1 1 x x+3 11 1 x x 1 11 1 11 2 (x + 3) = 2x + 6 Fill in this space to form a rectangle. And the result is your answer ALGEBRAIC MULTIPLICATION ► Find the product. ► x (x + 2) ANSWER (x + 2) x x x x2 11 xx x (x + 2) = x2 + 2x ALGEBRAIC MULTIPLICATION ► Find the product. ► 2x (x + 3) ANSWER (x + 3) x 2x 111 x x2 xxx x x2 xxx 2x (x + 3) = 2x2 + 6x ALGEBRAIC MULTIPLICATION ► Find the product. ► (x+2) (x + 4) ANSWER (x + 4) x x +2 1 1 x2 xx x 1111 xxxx 1111 1111 (x+2) (x + 4) = x2 + 6x + 8 ALGEBRAIC MULTIPLICATION ► Find the product. ► (x+3) (2x + 1) ANSWER x x2 xxx 1 1 1 x2 xxx x x (2x + 1) x +3 1 x 1 1 1 (x+3) (2x + 1) = 2x2 + 7x + 3 ALGEBRAIC DIVISION ► To model division using algebra tiles, use a rectangular array like you did for multiplication except the dividend (the numerator) goes where your multiplication answer was ALGEBRAIC DIVISION ► Ex: 1 1 x 2 x Fill in this space to complete the array. This is your answer! 11 1 x x x x 1 11 1 11 4x + 6 ALGEBRAIC DIVISION ► Find the quotient: x x 3 x ANSWER 1 xxx xxx 1 1 1 xxx (9x + 3) 1 1 1 ALGEBRAIC DIVISION ► Find 6x2 + 3x 3x the quotient: x 3x x ANSWER 1 (6x2 + 3x) x x2 x2 x x x2 x2 x x2 x x2 6x2 + 3x 3x = 2x + 1 x ALGEBRAIC DIVISION ► Find 2x2 + 6x + 4 x+2 the quotient: x x+ 2 x ANSWER 11 (2x2 + 6x + 4) xx x2 xx xx x 1 1 x2 11 11 2x2 + 6x + 4 = 2x + 2 x+2