Experience an intuitive and fun approach to learning the subject of geometry in this course taught by an award-winning educator.
Overview
Syllabus
- By This Professor
- 01: Geometry—Ancient Ropes and Modern Phones
- 02: Beginnings—Jargon and Undefined Terms
- 03: Angles and Pencil-Turning Mysteries
- 04: Understanding Polygons
- 05: The Pythagorean Theorem
- 06: Distance, Midpoints, and Folding Ties
- 07: The Nature of Parallelism
- 08: Proofs and Proof Writing
- 09: Similarity and Congruence
- 10: Practical Applications of Similarity
- 11: Making Use of Linear Equations
- 12: Equidistance—A Focus on Distance
- 13: A Return to Parallelism
- 14: Exploring Special Quadrilaterals
- 15: The Classification of Triangles
- 16: Circle-ometry—On Circular Motion
- 17: Trigonometry through Right Triangles
- 18: What Is the Sine of 1°?
- 19: The Geometry of a Circle
- 20: The Equation of a Circle
- 21: Understanding Area
- 22: Explorations with Pi
- 23: Three-Dimensional Geometry—Solids
- 24: Introduction to Scale
- 25: Playing with Geometric Probability
- 26: Exploring Geometric Constructions
- 27: The Reflection Principle
- 28: Tilings, Platonic Solids, and Theorems
- 29: Folding and Conics
- 30: The Mathematics of Symmetry
- 31: The Mathematics of Fractals
- 32: Dido's Problem
- 33: The Geometry of Braids—Curious Applications
- 34: The Geometry of Figurate Numbers
- 35: Complex Numbers in Geometry
- 36: Bending the Axioms—New Geometries
Taught by
James Tanton
