Purpose and Objectives
Purpose of Learning About Hyperbolic Geometry
The purpose of this GeoGebra book is to introduce students to Hyperbolic geometry through comparison to Euclidean geometry.
The scope of this booklet does require some familiarity with hyperboloids. All interactive constructions are done in The Poincare Model. A large focus of this book is triangles in Hyperbolic space. The design of this booklet has questions that are intended for group discussion. If this lesson is done asynchronously I would suggest making one of these questions a topic for a discussion post while also having them answer it in the GeoGebra activity.
Objectives for this Booklet
- Apply previous knowledge about parallel lines in Euclidean geometry
- Apply previous knowledge about triangle properties in Euclidean geometry
- Identify key differences in the parallel postulate
- Explain the differences between zero, positive and negative curvature.
- Describe a line in hyperbolic geometry
- Describe properties of triangles in hyperbolic geometry