Multiplying Binomials with Algebra Tiles

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

Tâche 1

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

List all the types of algebra tiles.

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

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

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

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?

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

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