Reference and Coterminal Angles

Overview

Link to Experience: Reference and Coterminal Angles

Topics: math, angles, reference angles, coterminal angles

Grades: 9-10

Standards:

Duration to complete: 8-12 minutes

Learning outcome: Students will understand the difference between reference and coterminal angles. Students will understand what positive and negative angles are.

In the Classroom

Pre-Experience (Things to Look Out For):

• What are the different quadrants in an XY-plane?

• How are 0 and 360 degrees similar in terms of where an arrow points to?

• Infer what reference and coterminal angles are based off their names.

Post-Experience (Things to Think About):

• Can reference angles be negative?

• Can reference angles be above 90 degrees?

• Can you find the relationship among the four reference angles of a certain degree?

• How can you determine whether two angles are coterminal angles?

• Given an angle, how many angles are there that are coterminal to it?