This IB Maths AA HL 1.15 – Introduction to Proofs resource introduces students to three important methods of mathematical argument: proof by induction, proof by contradiction, and proof by counterexample. It develops understanding of what makes a proof different from empirical evidence, and shows students how to structure logical arguments clearly and rigorously in line with IB Mathematics AA HL expectations.
Structured explanations, worked examples, and practice problems guide students through proving results involving sums, divisibility, irrationality, and prime numbers, while also helping them decide which proof method is most appropriate in different situations. With clear reasoning, exam-style practice, and fully worked solutions throughout, this resource supports HL students in building confidence with formal proof and mathematical justification.
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