Activity Overview
Students investigate the properties of angles inscribed in a circle. They use the drawing and measurement tools of Cabri™ Jr. to draw and measure certain angles, and establish the relationship between angles that intercept the same arc. 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 41-43 from the attached PDF file for your class
During the Activity
Distribute the pages to your class.
Follow the Activity procedures:
- Draw a circle
- Mark two points on the circle to determine an arc
- Draw segments that will form the sides of the inscribed angles
- Mark two points to be the vertices of inscribed angles
- Observe the relationship between the inscribed angles
- Explore other inscribed angle pairs by changing length of arc and vertices
TI-Navigator activity:
- Use Screen Capture to check students' progress
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary