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. 

Concepts

factoring polynomials, factoring quadratics

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Additional Tags

math

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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

Pros

• 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

Cons

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

Common Core

HSA-SSE.A.1.a HSA-SSE.A.2 HSA-SSE.B.3.a HSA-APR.A.1 HSA-CED.A.1 HSA-CED.A.2 HSA-REI.B.4.b HSA-REI.D.11 HSF-IF.B.4 HSF-IF.B.5 HSF-IF.B.6 HSF-IF.C.7.a MP7