Completing the Square: Choose Your Own Expression

Pretpregled učenika
Izbornik Postavke

Istraživanje

GR. 9-12

Skill:

Solve quadratic equations by completing the square.

Verified resource

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.

Otvoreno pitanje 1

Describe the process of completing the square.

Tekstualni i matematički unos

Otvoreno pitanje 2

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

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Otvoreno pitanje 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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Otvoreno pitanje 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?

Tekstualni i matematički unos

Otvoreno pitanje 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?

Tekstualni i matematički unos