Multiplying Binomials with Algebra Tiles
Build monomials using algebra tiles and observe how they are multiplied and simplified.
課題1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
課題2
List all the types of algebra tiles.
課題3
Explain the area and dimensions of each type of algebra tile.
課題4
Why could the arrangement of algebra tiles into a rectangle be described as an area problem?
課題5
Describe what a rectangle composed of algebra tiles would look like for (x+4)(x+3).
課題6
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?
課題7
How many big square algebra tiles would you use for (3x + 1)(2x +3)?
課題8
What do you notice about the differences between positive and negative algebra tiles?
課題9
What happens to the algebra tiles when like terms zero out?