Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Analytic Geometry

9-12

40 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

## Taxicab Geometry

#### Activity Overview

In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab perpendicular bisectors and discover that only certain pairs of points have taxicab perpendicular bisectors.

#### Key Steps

• Download the attached PDF and look over the information on the first page. Download and distribute the attached student TI-Nspire document (.tns file) and student worksheet for use during the activity.

• Discuss the material from the activity pages and worksheet with students as needed.

• Encourage students to summarize what they have learned from completing the activity.