Course: Year 11 Mathematics Extension
The Binomial Theorem
Use Pascal's triangle, binomial coefficients, general terms, and identities to reason about expansions.
Active lessons
5
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
5 of 5 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.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.