Binomial Expansion—Shortcut Please

There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use Pascal's Triangle before exploring combinations for the coefficients.

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CCSS: Designed
Instructional Ideas

  • Provide a mini lesson on combinations and the meaning of the formula
Classroom Considerations

  • The class should know how to multiply binomials and polynomials
  • It would be helpful if students are familiar with Pascal's Triangle

  • Provides descriptions of the content on each slide
  • Includes a handout for individuals to use as a note taking guide

  • None
Common Core