Build monomials using algebra tiles and observe how they are multiplied and simplified.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
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).[br]
Before the expanded product is simplified, (x+4)(x+3) = x[sup]2[/sup] + 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?
What happens to the algebra tiles when like terms zero out?