6th Grade Math Textbook, Fundamentals

(Marvins-Underground-K-12) #1
Key for Algebra Tiles

x x^2

 1
 1

x x^2

 &KDSWHU

14-2
Model Polynomials

Objective To model polynomials using algebra tiles• To simplify polynomials

Algebra tiles can be used to

model polynomials.
The key shows what each tile represents.

So the polynomial 2x 5  4 x7 in simplest form is  2 x2.

 4 x 6 x^2  3  2 x^2  2 x 1

x 12 x^2 x 4 x^2  4 x(4) or 4x^2  4 x 4

Here are some examples of polynomials
and their models:

2 x 4 x 5  7  2 x 2

To write a polynomial in simplest form, it is often helpful to model it first

with algebra tiles. Then combine like terms by combining “like tiles.”

Use algebra tiles to simplify the polynomial 2x 5  4 x7.

Rearrange tiles so that like terms (tiles
with the same shape) are next to each
other. Then remove the zero pairs.

Write the polynomial for the resulting
model. The resulting polynomial is in
simplest form.

Model the expression with algebra tiles.

2 x  5  4 x 7

A polynomial is in
simplest form when
there are no like terms
that can be combined.

A number plus its opposite equals 0, so tiles that represent any number and its opposite form
a zero pair. Adding 0 to or subtracting 0 from a number does not change the number’s value.
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