Modeling Polynomials with Algebra Tiles

This lesson teaches how to use algebra tiles to model polynomials by examining the area of patterned floors. It starts with a 10x10 floor design and generalizes it using a variable x to find the area of any size floor. The lesson clarifies common misunderstandings in polynomial addition and explores different floor sizes and their polynomial representations. It also adapts polynomial models for non-square floor designs, encouraging students to create their own designs.

How does changing the value of x affect the dimensions of the floor?

Describe the relationship represented by the polynomial x squared plus 4x plus 4.

What are some possible polynomial combinations for floor tiles?