Multiplying Binomials with Algebra Tiles

Multiplying Binomials with Algebra Tiles

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


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Verkenning

GR. 9-12

Skill:

Add, subtract, and multiply polynomials.

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Putting It All Together

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

Open vraag 1

List all the types of algebra tiles.

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Open vraag 2

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

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Open vraag 3

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

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Open vraag 4

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

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Open vraag 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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Open vraag 6

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

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Open vraag 7

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

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Open vraag 8

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

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