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    IB Math AAHL
    /
    Proof and Reasoning
    /

    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Proof and Reasoning

    Video Reviews

    Watch comprehensive video reviews for Proof and Reasoning, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Direct proof (SL + HL)HL Terms & DefinitionsContradiction (HL)Proof by induction

    The video will automatically pause when it reaches a problem.

    Counterexamples

    AHL AA 1.15

    The easiest way to show a statement is not true is to find a specific example for which it is not true.


    Example

    Disprove the statement "√n is always irrational".


    Take n=4, then √4=2=12​ is rational.

    Counterexamples

    AHL AA 1.15

    The easiest way to show a statement is not true is to find a specific example for which it is not true.


    Example

    Disprove the statement "√n is always irrational".


    Take n=4, then √4=2=12​ is rational.

    Direct proof (SL + HL)HL Terms & DefinitionsContradiction (HL)Proof by induction