**Description**

**Content:-**

**INTRODUCTION**

Professor Biography

Course Scope

**LESSON GUIDES**

**LESSON 1:**Geometry—Ancient Ropes and Modern Phones

**LESSON 2:**Beginnings- Jargon and Undefined Terms

**LESSON 3:**Angles and Pencil-Turing Mysteries

**LESSON 4:**Understanding Polygons

**LESSON 5:**The Pythagorean Theorem

**LESSON 6:**Distance, Midpoints, and Folding Ties

**LESSON 7:**The Nature of Parallelism

**LESSON 8:**Proofs and Proof Writing

**LESSON 9:**Similarity and Congruence

**LESSON 10:**Practical Applications of Similarity

**LESSON 11:**Making Use of Linear Equations

**LESSON 12:**Equidistance—A Focus on Distance

**LESSON 13:**A Return to Parallelism

**LESSON 14:**Exploring Special Quadrilaterals

**LESSON 15:**The Classification of Triangles

**LESSON 16:**“Circle-ometry”—On Circular Motion

**LESSON 17:**Trigonometry Through Right Triangles

**LESSON 18:**What Is the Sine of 1°?

**LESSON 19:**The Geometry of a Circle

**LESSON 20:**The Equation of a Circle

**LESSON 21:**Understanding Area

**LESSON 22:**Explorations with Pi

**LESSON 23:**Three-Dimensional Geometry-Solids

**APPENDIX TO LESSON 23:**The Volume and Surface Area of a Sphere

**LESSON 24:**Introduction to Scale

**LESSON 25:**Playing with Geometric Probability

**LESSON 26:**Exploring Geometric Constructions

**LESSON 27:**The Reflection Principle

**LESSON 28:**Tilings, Platonic Solids, and Theorems

**LESSON 29:**Folding and Conics

**LESSON 30:**The Mathematics of Symmetry

**LESSON 31:**The Mathematics of Fractals

**LESSON 32:**Dido’s Problem

**LESSON 33:**The Geometry of Braids-Curious Applications

**LESSON 34:**The Geometry of Figurate Numbers

**LESSON 35:**Complex Numbers in Geometry

**LESSON 36:**Bending the Axioms-New Geometries

SUPPLEMENTAL MATERIAL

Solutions

Formulas

Glossary

Bibliography

**Author Details**

**"Professor James S. Tanton"**is the Mathematical in Residence at the mathematical Association of America (MAA) in Washington DC. He Received his Ph.D. in mathematics from princeton University in 1994.

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