The Binomial Theorem
Use Pascal's triangle, binomial coefficients, general terms, and identities to reason about expansions.
Active lessons
6
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
6 of 6 active
Lesson 1
Pascal's Triangle and Binomial Patterns
Use Pascal's triangle to identify coefficient patterns, symmetry, row sums, and small expansions.
Lesson 2
The Binomial Theorem
Use binomial coefficients to expand powers, track signs, and find selected coefficients.
Lesson 3
Finding a General Term
Use the general term to locate target powers, extract coefficients, and find constant terms.
Lesson 4
Binomial Identities and Coefficients
Use coefficient identities and substitutions to evaluate sums, alternating sums, and relationships.
Lesson 5
The Binomial Theorem Exam Practice
Practise mixed Extension binomial theorem questions involving coefficients, terms, signs, and identities.
Lesson 6
Greatest Term in a Binomial Expansion
Find the greatest term or greatest coefficient in a binomial expansion using the adjacent-term ratio method.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.