Lesson: Arc and Angle Measures

Prerequisite Knowledge: Students should be familiar with corresponding angles and corresponding sides.  They should also understand the concept of congruency.  Students should know how to apply the properties of vertical, supplementary and complementary angles. Students should be familiar with degree and radian measurement.

Learning Objectives:

Students will understand:

Key Ideas:

Motivational Problem:

Have your students model the following problems with a diagram and have them label the part of the picture they are solving for.

On a regulation dartboard, the outermost circle is divided into twenty congruent sections.  What is the measure of each arc in this circle?

The deck of a bascule bridge (similar to a draw bridge) creates an arc when moved from the closed position to the open position. If the bridge is closed at 0 degrees and when it opens, it moves 60 degrees, what is the arc length?

Important Questions:

A clock with an hour and minute hand is set to 12am. After 15 minutes what is the minor arc formed by the hour and the minute hand?