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Copy of Completing the Square with Algebra Tiles

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

Putting It All Together

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

Describe the process of completing the square.

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

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.

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