Students will learn what the binomial theorem is, and how to use it to expand binomials raised to whole number powers. After that, students will learn how to find specific terms for such expansions. This can be done by using the binomial theorem, without computing the entire expansion. For example, we can use the binomial theorem to pluck out the \(x^6\) term. Finally, students will learn the connection between the binomial theorem and Pascal's triangle. For a lesson, watch these: part 1, 2, 3, 4.

Conclude by giving your students these challenges:

- Consecutive Squares by NRICH
- Do Unto Caesar by NRICH
- Stretching Fractions by NRICH
- 2015 AMC 8, Problem 2
- Units of Big Powers