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