Lesson Plan: Factoring Algebraic Expressions | Nagwa Lesson Plan: Factoring Algebraic Expressions | Nagwa

Lesson Plan: Factoring Algebraic Expressions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to write algebraic expressions as a product of irreducible factors.

Objectives

Students will be able to

  • find the greatest common factor of an expression and factor it outside the parentheses,
  • factor quadratic expressions,
  • factor the difference of two squares,
  • factor cubic expressions with a common factor 𝑥,
  • factor polynomial expressions that can be converted into quadratic expressions using a substitution of the form 𝑦=𝑥.

Prerequisites

Students should already be familiar with

  • algebraic expressions,
  • polynomials and monomials,
  • rules of exponents,
  • multiplying polynomials by expanding the parentheses.

Exclusions

Students will not cover

  • factoring polynomial expressions that cannot be reduced to quadratics,
  • factoring by grouping,
  • completing the square.

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