Factoring Quadratic Expressions with Algebra Tiles

Explore how quadratic expressions are represented and factored using algebra tiles.

Task 1

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

What do each of the different types of algebra tiles represent in the quadratic expression?

Explain how the number of each type of algebra tile relates to the quadratic expression.

Explain how the dimensions of the rectangle formed by the algebra tiles relate to the binomial factors.

Is there more than one way to factor a quadratic trinomial? Why or why not?

Expressions like and are called perfect square trinomials. Why do you think they are called that?

What do you notice about the factors of perfect square trinomials?

Can a constant of a perfect square trinomial ever be negative? Why or why not?