Activity Overview
This activity includes a collection of circle - angle relationship for students to explore and prove. Scaffolded instructions are included in the TI-Nspire file to help students build confidence and develop structure to their proof.
Objectives
Introduce students to the notion of proof and develop their confidence in construction proof by appropriate step by step scaffolding.
Vocabulary
- Radius
- Segment
- Sector
- Chord
- Congruent
- Similar
- Isosceles
About the Lesson
Students manipulate geometric objects to illustrate a range of circle – angle properties. To help with proving the observations, selected steps and constructions are added successively to the diagram to help students formulate a proof.