This powerpoint presentation is all about Multiplying Binomials Using Algebra Tiles. i presented this during my first demonstration teaching at Sorsogon State College.

7. BINOMIAL
A mathematical expression consisting of 2 algebraic
terms connected by a plus or minus sign.
Examples: 2x + 4 , x - 3
POLYNOMIAL
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

8. are manipulative with which you can represent
polynomials and perform polynomial
operations, such as adding subtracting,
multiplying, and dividing.
ALGEBRA TILES

9. 3 BASIC TILES IN MODELING A POLYNOMIAL
1.LARGE SQUARE
-X2X2
X
X
POSITIVE VALUE NEGATIVE VALUE

10. 2.RECTANGLE
XX
1
-X
POSITIVE VALUE NEGATIVE VALUE

11. 3.SMALL SQUARE
1 -1
POSITIVE VALUE NEGATIVE VALUE
1
1

12. EXAMPLES. . .

13. ( 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)

14. ( 2x - 3 ) ( x + 1 )
2x2 - 3x + 2x -3
ANSWER: 2x2 - x -3
( 2x - 3 )
(x+1)

15. ( x - 5 ) ( x - 3 )
ANSWER: x2 - 8x +15
( x - 5 )
(x-3)

16. DECODER:
1 . (x - 4) (x - 4)------------- RICH 4. (4x + 2) (2x + 5)--------FRI
2. (2x – 1) (3x + 2 )------ED 5. (2x + 1) (x+2)-------------BEL
3. (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

17. (2x + 4 ) (x – 3)
2x2 -12
4x
6x
ANSWER: 2x2 + 10x -12