Multiplying Binomials with Algebra Tiles

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Keşif

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.

Açık-uçlu soru 1

List all the types of algebra tiles.

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Açık-uçlu soru 2

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

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Açık-uçlu soru 3

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

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Açık-uçlu soru 4

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

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Açık-uçlu soru 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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Açık-uçlu soru 6

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

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Açık-uçlu soru 7

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

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Açık-uçlu soru 8

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

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