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