8.6.6 Lesson Summary

In this lesson, you learned how to:

• Explain how the numbers in a quadratic expression in factored form relate to the numbers in an equivalent expression in standard form.
• Rewrite a quadratic expression in standard form when given the quadratic expression in factored form.
• Rewrite a quadratic expression in factored form when given the quadratic expression in the form of $a{x}^2+bx+c$.

Here are the activities that helped you reach those goals:

• 8.6.1: Finding and Reasoning Unknown Factors
  • In this activity, you practiced using reasoning to find unknown factors missing from a problem.
• 8.6.2: Using Diagrams to Understand Equivalent Expressions
  • In this activity, you learned how to use a diagram to help visualize the process of rewriting a quadratic expression in standard form into factored form.
  • 8.6.2: Self Check
  • 8.6.2: Additional Resources
• 8.6.3: Rewriting Quadratic Expressions in Standard Form
  • In this activity, you continued learning how to rewrite quadratic expressions in standard form into factored form. This lesson covered expressions in the factored forms $(x+a)(x+b)$ and $(x-a)(x-b)$.
  • 8.6.3: Self Check
  • 8.6.3: Additional Resources
• 8.6.4: Finding the Missing Numbers in Pairs of Equivalent Expressions
  • In this activity, you used the skills you learned rewriting quadratic expressions to find missing values in a conversion from standard form into factored form.

After these activities, you completed the following practice:

• 8.6.5: Practice