Lesson 4: 8.4 The Binomial Theorem
Duration of Days: 2
Lesson Objective
1. Use the Binomial Theorem to calculate binomial coefficients.
2. Use binomial coefficients to write binomial expansions.
3. Use Pascal's Triangle to calculate binomial coefficients.
How do you find the expansion of (x+y)^n?
binomial coefficients
Binomial Theorem
expanding a binomial
HSA-SSE.B.4: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.
Use Khan Academy Resources
Students will learn how to expand a binomial using Pascal's triangle, which will also be an introduction to studying combinations in the next section.
You can use binomial coefficients to model and solve real-life problems. Binomial coefficients can help with the expansion of a model that represents the amount of child supports collected in the United States.
Some students think that 0! is 0, but it is in fact equal to 1.
Challenge advance learner to come up with Pascal's Triangle while only being given the first three rows. Could they come up with a formula for the entries in each row?
Common Assessments
Pre-Calculus with Limits Resources