Exploring the Circumcenter of a Triangle

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Circles

Math: Geometry: Triangles

Level

9-12

Activity Time

30 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Resource Types

Lessons

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Exploring the Circumcenter of a Triangle

Activity Overview

In this activity, students develop an understanding of the circumcenter of a triangle. Students construct perpendicular bisectors of three sides of a triangle and find the circumcenter. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Before the Activity

Install the Cabri Jr. App on the students' graphing calculators using TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable

Set up the TI-Navigator™ system

See the attached PDF file for detailed instructions for this activity

Print pages 17-18 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Draw a triangle

Draw the perpendicular bisector of each side of the triangle

Find the circumcenter, which is the point where all the bisectors intersect

Explore properties of the circumcenter

TI-Navigator activity:

Save this file as an APP VAR for later exploration and investigation. (Activity 13)

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Circles

Math: Geometry: Triangles

Level

9-12

Activity Time

30 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Resource Types

Lessons

Report an Issue

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Exploring the Circumcenter of a Triangle

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Exploring the Circumcenter of a Triangle

Before the Activity Files

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

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