Completing the Square: Choose Your Own Expression
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.
Offene Frage 1
Describe the process of completing the square.
Eingabe von Text und mathematischen Symbolen
Offene Frage 2
Explain how the phrase “complete the square” can be used to describe multiple aspects of this process.
Eingabe von Text und mathematischen Symbolen
Offene Frage 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.
Eingabe von Text und mathematischen Symbolen
Offene Frage 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?
Eingabe von Text und mathematischen Symbolen
Offene Frage 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?
Eingabe von Text und mathematischen Symbolen