MULTIPLYING BINOMIALS USING ALGEBRA TILES
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Transcript of MULTIPLYING BINOMIALS USING ALGEBRA TILES
OPTICAL ILLUSIONS (TILES)
STAIR ILLUSION
HOW MANY COLORS WERE USED?
MULTIPLYING BINOMIALS
USING ALGEBRA
TILES
BINOMIALA mathematical expression consisting of 2 algebraic terms connected by a plus or minus sign.Examples: 2x + 4 , x - 3POLYNOMIAL
A mathematical expression of one or more algebraic terms of which consists of a constant multiplier by one or more variables raise to a non-negative power. Example: 3x2 + 4x + 5 , x3 + 3x2 + x - 8
are manipulative with which you can represent polynomials and perform polynomial operations, such as adding subtracting, multiplying, and dividing.
ALGEBRA TILES
3 BASIC TILES IN MODELING A POLYNOMIAL1. LARGE SQUARE
-X2X2
X
X
POSITIVE VALUENEGATIVE
VALUE
2. RECTANGLE
XX
1
-X
POSITIVE VALUENEGATIVE
VALUE
3. SMALL SQUARE
1 -1
POSITIVE VALUE NEGATIVE VALUE
1
1
EXAMPLES. . .
( x + 2 ) ( x – 1 )
x 1 1
-1 -1-1
X2
-x
x xx
x2 + 2x – x -2
ANSWER: x2 + x -2
( x + 2 )
( x -
1 )
( 2x - 3 ) ( x + 1 )
2x2 - 3x + 2x -3
ANSWER: 2x2 - x -3
( 2x - 3 )
( x +
1 )
( x - 5 ) ( x - 3 )
ANSWER: x2 - 8x +15
( x - 5 )
( x -
3 )
DECODER:1 . (x - 4) (x - 4)------------- RICH 4. (4x + 2) (2x + 5)--------
FRI2. (2x – 1) (3x + 2 )------ED 5. (2x + 1) (x+2)-------------
BEL3. (x + 5 ) (4x – 3 )-------FROE
Multiply each binomial using algebra tiles. Then answer the question below using the decoder in each number.
QUESTION: He created the kindergarten which includes games and sports in the curricula.
ANSWER:
8x2+24x+10 6x2+x-2 x2-8x+16 4x2+17x-15 2x2+5x+2
(2x + 4 ) (x – 3)
2x2
-12
4x6x
ANSWER: 2x2 + 10x -12
THANK YOU& GOD BLESS!
PREPARED BY:
ANGELICA M. QUINTO