Algebra 1 Common Core Student Edition, Grade 8-9

Co n cep t Byt e

Use W ith Lesson 8-3

Using Models

to M u ltip ly

You can use algebra tiles to m odel the m ultiplication of two binom ials.

Activity

Find the product (at + 4 ) ( 2 x + 3 ).

El

m

.j

2x2 + 3x + 8x + 12

2 x2+ llx + 12

Co m m o n Co r e St a t e St a n d a r d s

P re p a re s f o r A -AP R.A .1 Understand that polynomials

form a system analogous to the integers, namely, they are

closed under the operations of addition, subtraction, and

multiplication; add, subtract, and multiply polynomials.

MP 7

iJJU

! _ J _ J _ j

I J I.

liJ J

Add coefficients of like terms.

The p ro d u c t is 2 x 2 + l l x + 12.

You can also m odel p roducts th a t involve subtraction. Red tiles indicate negative

variables an d negative num bers.

Activity

Find the product (x - l) (2 x + 1).

J

2xz + x — 2x — 1

2x2 - x - 1 Add coefficients of like terms.

Ex e r c i se s

Use algebra tiles to find each product.

1. (x + 4)(x + 2) 2. (x + 2)(x - 3) 3. (x+ l)(3 x -2 ) 4. (3x + 2)(2x + 1)

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