Completing the Square: Choose Your Own Expression

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Skill:

Solve quadratic equations by completing the square.

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Completing the Square: Choose Your Own Expression

Choose your own expression and observe the process of completing the square with 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.

自由形式の質問1

Describe the process of completing the square.

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自由形式の質問2

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

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自由形式の質問3

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.

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自由形式の質問4

Notice how the slider to change the coefficient for the term only allows even integers. What would happen to the figure if the slider allowed for term like ? What would happen to the algebraic expressions?

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自由形式の質問5

Complete the square for and using the algebra tiles. What do you notice about the result? What do you notice about the coefficients of the original expressions?

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