Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Analytic Geometry
• Math: Geometry: Triangles

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.2

## Balancing Point

#### Activity Overview

In this activity, students will explore the median and the centroid of a triangle. Students will discover that the medians of a triangle are concurrent. The point of concurrency is the centroid. Students should discover that the center of mass and the centroid are the same for a triangle.

#### Key Steps

• In this activity, students will cut out a triangle and balance the triangle on their pencil.

• Students will find the balancing point using their handheld. They will discover that the medians of a triangle are concurrent and the balancing point occurs at the point of concurrency. The point of concurrency is the centroid.

• Students will extend the concept of the centroid by finding the centroid of the medial triangle. Students will discover that the original triangle and the medial triangle have the same centroid.