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.

Concepts

binomial coefficient, binomial expansion, binomial theorem, binomials, multiplication binomials, combinations, pascal's triangle

Show More Show Less

Additional Tags

math

Show More Show Less

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

Pros

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

Cons

• None

Common Core

HSA-APR.C.5