Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Circles

9-12

45 Minutes

• ##### Device
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
• ##### Software

TI Connect™ CE

## Circles - Angles and Arcs

Updated on 05/10/2022

#### Activity Overview

In this TI-84 family activity, students explore angles constructed in a circle and how their measures are related to the measures of the intercepted arcs.

#### Objectives

• Students will define and identify central angles, major and minor arcs, intercepted arcs, and inscribed angles of a circle.
• Students will determine and apply the following relationships:
• Two inscribed angles intercepting the same arc have the same measure.
• An inscribed angle measure of 90° results in the endpoints of the intercepted arc lying on a diameter.
• The measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc.
• Students will try to make a connection with how to understand these topics in IB Mathematics courses on their final assessments

#### Vocabulary

• Central angle
• Inscribed angle
• Major arc
• Minor arc
• Intercepted arc