Multiplying Binomials with Algebra Tiles

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Entdecken

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.

Offene Frage 1

List all the types of algebra tiles.

Eingabe von Text und mathematischen Symbolen

Offene Frage 2

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

Eingabe von Text und mathematischen Symbolen

Offene Frage 3

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

Eingabe von Text und mathematischen Symbolen

Offene Frage 4

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

Eingabe von Text und mathematischen Symbolen

Offene Frage 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?

Eingabe von Text und mathematischen Symbolen

Offene Frage 6

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

Eingabe von Text und mathematischen Symbolen

Offene Frage 7

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

Eingabe von Text und mathematischen Symbolen

Offene Frage 8

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

Eingabe von Text und mathematischen Symbolen