Non-Euclidean Geometry

I teach this course for our Master of Science in Education - Mathematics graduate program. I think it is a good course for early-career mathematics teachers. The material reinforces and builds on the students' knowledge of geometry, while definitely expanding their mathematical horizons.

Please refer to the attached files:

Chapter 1: Introduction to Geometry

Chapter 2: Distance, Length, and Angle Measurement

Chapter 3: Upper-Half Plane Model of Hyperbolic Geometry

Chapter 4: Spherical Trigonometry

Chapter 5: Hyperbolic Trigonometry

Chapter 6: Unit Disk Model of Hyperbolic Geometry

Chapter 7: Tessellations of the Hyperbolic Plane