#### Event Title

#### Date

1-4-2016 12:00 AM

#### Major

Mathematics

#### Department

Mathematics

#### College

College of Liberal Arts and Sciences

#### Project Advisor

Mark Hunacek

#### Project Advisor's Department

Mathematics

#### Description

This project focuses on implementing a section studying non-Euclidean geometry into a standard high school geometry course’s textbook. Taxicab geometry fits this project very well because the only change from Euclidean geometry is the method of measuring distance. The section begins by introducing the topic of taxicab distance and how to calculate it. Then, by using the new method of measuring distance, it continues with an activity using the new geometry. Finally, the section finishes by discussing applications of taxicab geometry in the real world. Following the content is a collection of practice problems that allow students to use the methods that were discussed in the section. This material could be used at the end of a high school geometry course as an enrichment section. Additionally, it provides insight for some uses of different types of mathematics in the real world. Overall, the result of this project is a section of a textbook to implement at the end of a high school geometry course that introduces new and interesting mathematics that enrich student understanding of mathematics and its uses.

#### File Format

application/pdf

#### Included in

Taxicab Geometry in a High School Setting

This project focuses on implementing a section studying non-Euclidean geometry into a standard high school geometry course’s textbook. Taxicab geometry fits this project very well because the only change from Euclidean geometry is the method of measuring distance. The section begins by introducing the topic of taxicab distance and how to calculate it. Then, by using the new method of measuring distance, it continues with an activity using the new geometry. Finally, the section finishes by discussing applications of taxicab geometry in the real world. Following the content is a collection of practice problems that allow students to use the methods that were discussed in the section. This material could be used at the end of a high school geometry course as an enrichment section. Additionally, it provides insight for some uses of different types of mathematics in the real world. Overall, the result of this project is a section of a textbook to implement at the end of a high school geometry course that introduces new and interesting mathematics that enrich student understanding of mathematics and its uses.