Lesson Plan: Multiplying a Binomial by an Algebraic Expression Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to multiply a binomial by a polynomial of order three and similar algebraic expressions.


Students will be able to

  • multiply a binomial by a trinomial,
  • multiply three binomials,
  • solve problems involving binomial exponents, such as
    • multiplying a binomial by the square of another binomial,
    • finding the cube of a binomial,
  • find unknowns in algebraic expressions by multiplying binomials and algebraic expressions,
  • solve geometric problems by multiplying binomials and algebraic expressions.


Students should already be familiar with

  • multiplying monomials,
  • multiplying monomials by algebraic expressions,
  • multiterm, high-order algebraic expressions,
  • multiplying two binomials,
  • squaring binomials,
  • the distributive property of multiplication,
  • writing and evaluating algebraic expressions.


Students will not cover

  • dividing algebraic expressions by monomials,
  • multiplying two trinomials or expressions with more than three terms,
  • binomials of degrees greater than 1,
  • polynomials of degree 5 or higher.

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