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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.

Before the Activity

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. A TI-Nspire solution document (.tns file) containing expected student results is also available for download.

During the Activity

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

After the Activity

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

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Subject Area:
Math : Geometry : Analytic Geometry

Author:
Texas Instruments

Grade Level:
9-12

Activity Time:
40 Minutes

Device:
TI-Nspire™ CAS, TI-Nspire™

Apps:
 

Software:
TI-Nspire™, TI-Nspire™ CAS

Accessories:
 

Other:
 

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