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Completing the Square with Algebra Tiles

Explore the strategy of completing the square using algebra tiles as a visual model.

Aufgabe 1

Putting It All Together

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

Aufgabe 2

Describe the process of completing the square.

Aufgabe 3

Explain how the phrase “complete the square” can be used to describe multiple aspects of this process.

Aufgabe 4

If we would like to add 1s to complete the square, we need to also add the same number of negative 1s. Explain why this is the case.

Aufgabe 5

If the and terms are positive, can we complete the square with only negative constants?