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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AAHL
/
Proof and Reasoning
/
Video
Edit

Video Review

Watch comprehensive review videos 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.

IB Math AAHL
/
Proof and Reasoning
/
Video
Edit

Video Review

Watch comprehensive review videos 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 Review

Timeline

DIRECT PROOF (SL + HL)

Deductive Proof

00:40

Problem

03:04

Problem

07:34

HL TERMS & DEFINITIONS

Even and Odd Numbers

10:39

Problem

12:55

Divisibility

14:26

Prime Numbers

17:11

CONTRADICTION (HL)

Proof by contradiction

23:07

Problem

28:00

Rational Numbers

35:49

Problem

40:51

Counterexamples

44:40

Problem

46:55

PROOF BY INDUCTION

How induction works

53:24

Problem

57:27

Simple equality

1:10:33

Induction with divisibility

1:13:01

Problem

1:17:10

Induction with inequalities

1:20:39

Problem

1:25:52

Induction with summation

1:35:37

Problem

1:38:01

Induction with derivatives

1:43:08

Problem

1:46:18

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

The video will automatically pause when it reaches a problem.

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

Proof and Reasoning

Video Review

Timeline

DIRECT PROOF (SL + HL)

Deductive Proof

00:40

Problem

03:04

Problem

07:34

HL TERMS & DEFINITIONS

Even and Odd Numbers

10:39

Problem

12:55

Divisibility

14:26

Prime Numbers

17:11

CONTRADICTION (HL)

Proof by contradiction

23:07

Problem

28:00

Rational Numbers

35:49

Problem

40:51

Counterexamples

44:40

Problem

46:55

PROOF BY INDUCTION

How induction works

53:24

Problem

57:27

Simple equality

1:10:33

Induction with divisibility

1:13:01

Problem

1:17:10

Induction with inequalities

1:20:39

Problem

1:25:52

Induction with summation

1:35:37

Problem

1:38:01

Induction with derivatives

1:43:08

Problem

1:46:18

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

The video will automatically pause when it reaches a problem.

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