Multiplying Binomials with Algebra Tiles


Exploration

GR. 9-12

Skill:

Add, subtract, and multiply polynomials.

Verified resource

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.

Question ouverte 1

List all the types of algebra tiles.

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Question ouverte 2

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

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Question ouverte 3

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

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Question ouverte 4

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

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Question ouverte 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?

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Question ouverte 6

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

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Question ouverte 7

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

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Question ouverte 8

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

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