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Algebra 1

8.10.7 Lesson Summary

Algebra 18.10.7 Lesson Summary

8.10.7 Lesson Summary

8.10.7 • Lesson Summary

In this lesson, you learned how to:

  • Use the factored form of a quadratic expression or a graph of a quadratic function to answer questions about a situation.
  • Write equivalent expressions in factored form when given quadratic expressions of the form ax2+bx+cax2+bx+c and aa is not 1.

Here are the activities that helped you reach those goals:

  • 8.10.1: Analyzing Various Quadratic Expressions
    • In this activity, you analyzed different quadratic expressions and found the distinctions that made them unique. Being able to recognize detailed aspects of these expressions helps provide a better understanding that is useful when solving by factoring.
  • 8.10.2: Working with Quadratic Factored Form with Leading Coefficient Other Than One
    • In this activity, you learned the process that is involved when attempting to factor a quadratic expression where the leading coefficient is not 1. By using a guess and check method, you were able to solve these expressions.
    • 8.10.2: Self Check
    • 8.10.2: Additional Resources
  • 8.10.3: Using Technology to Find Rational Factors
    • In this activity, you applied graphing technology to solve complicated quadratic functions that were not factorable by other means, since the zeros were non-integer rational numbers.
    • 8.10.3: Self Check
    • 8.10.3: Additional Resources
  • 8.10.4: Finding the Factors of Quadratic Expressions in Standard Form
    • In this activity, you learned two different methods to factor complicated quadratic equations with leading coefficients greater than 1. You learned to use one method when the leading coefficient was a perfect square and another method when it was not a perfect square.
    • 8.10.4: Self Check
    • 8.10.4: Additional Resources
  • 8.10.5: Solving Quadratic Equations by Any Method
    • In this activity, you combined all of the skills you learned in the lesson to factor quadratic equations using any method you preferred.

After these activities, you completed the following practice:

  • 8.10.6: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

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