Unit 1 · Number & Algebra · Topic 1.15

IB Math AA HL — Proof by induction (HL only)

Topic 1.15 of IB Mathematics: Analysis and Approaches covers Proof by induction (HL only), which is part of Unit 1: Number & Algebra. Students explore key concepts including Proof by induction, Proof by contradiction, Disproving with a counterexample. A strong understanding of proof by induction (hl only) is essential for IB Math AA HL exams and builds the foundation for connected topics across the syllabus.

Exam technique guide Practice questions

What you'll learn in Topic 1.15

1.15.1 Proof by induction
1.15.2 Proof by contradiction
1.15.3 Disproving with a counterexample

Suggested study order: Read the notes for each sub-topic below → test yourself with flashcards → attempt practice questions → review exam technique.

Study resources — 1.15 Proof by induction (HL only)

1.15.1

Proof by induction

Notes

1.15.2

Proof by contradiction

Notes

1.15.3

Disproving with a counterexample

Notes

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Topic 1.15 Proof by induction (HL only) forms a core part of Unit 1: Number & Algebra in IB Math AA HL. Mastering these concepts will strengthen your understanding of connected topics across the syllabus and prepare you for exam questions that require analysis, evaluation, and real-world application.

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