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Factoring Quadratic Expressions with Algebra Tiles

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

Tarefa 1

Putting It All Together

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

Tarefa 2

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

Tarefa 3

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

Tarefa 4

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

Tarefa 5

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

Tarefa 6

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

Tarefa 7

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

Tarefa 8

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