Math Example--Angle Concepts--Angle Measures: Example 13

Topic

Geometry

Description

This example introduces a reflex angle of 195 degrees on a polar coordinate grid. The angle is highlighted in red, and students are asked to identify it. The solution explains that this is a reflex angle because its measure is greater than 180 degrees.

As part of a series on angle measures, this example helps students understand the concept of reflex angles. The use of a polar coordinate system allows students to visualize how angles greater than 180 degrees appear and relate to the coordinate axes.

Presenting multiple examples of reflex angles with different measures helps students develop a nuanced understanding of the concept. This repetition is crucial for building confidence in angle identification and classification.

Teacher Script: "Let's examine this 195-degree angle, class. Notice how it's larger than a straight line. This is what we call a reflex angle. Can anyone explain why this angle is classified as reflex? How does it relate to the other types of angles we've studied so far?"

For a complete collection of math examples related to Angle Measures click on this link: Math Examples: Angle Measures Collection.