Download Algebra Tiles - Mult + Divide

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