Advanced Factoring Strategies for Quadratic Expressions (part 1)

Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the patterns of multiplying binomials. Learners use the patterns to factor trinomials with a leading coefficient other than one. 

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CCSS: Designed
Instructional Ideas

  • Provide extra examples for students as needed; allow time for practice as this can be a difficult concept
  • Use board work to allow for frequent assessment for understanding
Classroom Considerations

  • Students must be proficient in factoring trinomials with a leading coefficient of one before this lesson
  • Depending on the level of pupils' understanding, time for this lesson may need to be extended beyond one class period
  • The third installment of a 26-part series

  • Use of prior knowledge gives students confidence in attempting factoring and strategies they can use if they are having difficulties
  • Handouts, keys, and a detailed teacher guide are included
  • An opener and exit ticket are provided

  • Some examples discussed may be too abstract for learners at the Algebra I level