Factoring Quadratic Expressions with Algebra Tiles
Explore how quadratic expressions are represented and factored using algebra tiles.
任务 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
任务 2
What do each of the different types of algebra tiles represent in the quadratic expression?
任务 3
Explain how the number of each type of algebra tile relates to the quadratic expression.
任务 4
Explain how the dimensions of the rectangle formed by the algebra tiles relate to the binomial factors.
任务 5
Is there more than one way to factor a quadratic trinomial? Why or why not?
任务 6
Expressions like and are called perfect square trinomials. Why do you think they are called that?
任务 7
What do you notice about the factors of perfect square trinomials?
任务 8
Can a constant of a perfect square trinomial ever be negative? Why or why not?