Multiplying Binomials with Algebra Tiles

Student Preview
Options Menu

Exploration

GR. 9-12

Skill:

Add, subtract, and multiply polynomials.

Multiplying Binomials with Algebra Tiles

Build monomials using algebra tiles and observe how they are multiplied and simplified.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

List all the types of algebra tiles.

Text and math input

Open-ended question 2

Explain the area and dimensions of each type of algebra tile.

Text and math input

Open-ended question 3

Why could the arrangement of algebra tiles into a rectangle be described as an area problem?

Text and math input

Open-ended question 4

Describe what a rectangle composed of algebra tiles would look like for (x+4)(x+3).

Text and math input

Open-ended question 5

Before the expanded product is simplified, (x+4)(x+3) = x2 + 4x + 3x + 12. How are 4x and 3x represented in the algebra tiles rectangle?

Text and math input

Open-ended question 6

How many big square algebra tiles would you use for (3x + 1)(2x +3)?

Text and math input

Open-ended question 7

What do you notice about the differences between positive and negative algebra tiles?

Text and math input

Open-ended question 8

What happens to the algebra tiles when like terms zero out?

Text and math input