Topic 3: Geometry and Trigonometry

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Classic View

SL 3.1

SL 3.2 - Introduction to Trigonometry

SL 3.3 - Enrichment

SL 3.4

SL 3.5

SL 3.7

AHL 3.12

SL 3.1

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Terms and Notation

Prof. Jason Lotay, University of Oxford

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Ruler and Compass Construction

Prof. Jason Lotay, University of Oxford

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Angles

Prof. Jason Lotay, University of Oxford

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Triangles

Prof. Jason Lotay, University of Oxford

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Quadrilaterals

Prof. Jason Lotay, University of Oxford

PROPERTIES AND CONSTRUCTIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Basic Proofs and the Golden Ratio

Prof. Jason Lotay, University of Oxford

SL 3.2 - Introduction to Trigonometry

TRIGONOMETRY: THE BIG PICTURE

Trigonometry from Triangles

Prof. Thomas Garrity, Williams College

TRIGONOMETRY: THE BIG PICTURE

Trigonometry from Circles

Prof. Thomas Garrity, Williams College

TRIGONOMETRY: THE BIG PICTURE

Trigonometry as Waves

Prof. Thomas Garrity, Williams College

TRIGONOMETRY: THE BIG PICTURE

Trigonometry as Infinite Functions

Prof. Thomas Garrity, Williams College

TRIGONOMETRY: THE BIG PICTURE

Trigonometry Meets Exponentials

Prof. Thomas Garrity, Williams College

TRIGONOMETRY: THE BIG PICTURE

Trigonometry in Your Phone

Prof. Thomas Garrity, Williams College

SL 3.3 - Enrichment

PYTHAGORAS: THE REAL STORY

The Pythagorean Cult

Dr Piers Bursill-Hall, University of Cambridge

PYTHAGORAS: THE REAL STORY

Pythagorean Beliefs

Dr Piers Bursill-Hall, University of Cambridge

PYTHAGORAS: THE REAL STORY

The Pythagoreans Did Not Discover Or Prove the Pythagorean Theorem

Dr Piers Bursill-Hall, University of Cambridge

PYTHAGORAS: THE REAL STORY

A Visual Proof of the Pythagorean Theorem

Dr Piers Bursill-Hall, University of Cambridge

PYTHAGORAS: THE REAL STORY

The Tunnel of Eupalinos

Dr Piers Bursill-Hall, University of Cambridge

PYTHAGORAS: THE REAL STORY

The Pythagoreans Did Not Discover Irrational Numbers

Prof. Kevin Buzzard, Imperial College London

PYTHAGORAS: THE REAL STORY

Why Do We Have the Wrong Story?

Dr Piers Bursill-Hall, University of Cambridge

SL 3.4

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Equations of Circles

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Tangents to Circles

Prof. Keith Ball, Warwick University

SL 3.5

TRIGONOMETRY: THE BIG PICTURE

Trigonometry from Circles

Prof. Thomas Garrity, Williams College

SL 3.7

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Trigonometric Functions

Prof. Keith Ball, Warwick University

AHL 3.12

VECTORS

Scalars vs. Vectors

Prof. Emille Lawrence, University of San Francisco

VECTORS

Vector Arithmetic

Prof. Emille Lawrence, University of San Francisco

VECTORS

Vectors in 2D and 3D Spaces

Prof. Emille Lawrence, University of San Francisco

VECTORS

Magnitude and Distance Between Vectors

Prof. Emille Lawrence, University of San Francisco

VECTORS

Unit Vectors and Normalization

Prof. Emille Lawrence, University of San Francisco

Contents

SL 3.1

SL 3.2 - Introduction to Trigonometry

SL 3.3 - Enrichment

SL 3.4

SL 3.5

SL 3.7

AHL 3.12