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The binomial theorem

The binomial theorem provides a systematic method for expanding expressions of the form (a+b)n(a+b)^n(a+b)n without repeated multiplication. It introduces binomial coefficients, combinations, and structured expansion patterns that are essential for efficient algebraic manipulation, especially for large powers. In IB Mathematics, this topic is particularly important for problem-solving in algebra and calculus, including approximation techniques and series expansions. A solid understanding of the binomial theorem allows students to recognize patterns quickly, work accurately under exam conditions, and connect algebraic structure with combinatorial reasoning.

Start here

Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.

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The Binomial theorem - Vocabulary
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The Binomial theorem - Vocabulary

Download

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The binomial theorem’s cheat sheet

Download

Video lessons

Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.

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How to find the coefficient or the term in a binomial expansion (IB Math)

Youtube video

Class notes

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The ultimate binomial expansions intro for IB Math

Youtube video

Class notes

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Three examples of binomial expansions with unknown exponents (IB Math)

Youtube video

Class notes

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Two challenging binomial expansion exercises for IB Math

Youtube video

Class notes

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All types of binomial expansions exercises you should know (IB Math)

Youtube video

Class notes

Take the mock exams

It’s time to put your knowledge to the test with our mock exams β€” the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.

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The IB Math Teacher

IB Math survival guide πŸš‘

Formula booklets πŸ“š

Ace your IB Math exam in 10 weeks πŸ”₯

AA HL 🧠

AA SL 🧠

Cheat sheets 🎨

YouTube channel πŸ“Ή

Tutoring πŸ‘¨πŸ»β€πŸ«

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