Trigonometry

Overview

Course Description

This course will explore trigonometry and its related components. The first few units will focus on Right Triangle Trig, the definitions of the six Trig functions and how they relate to solving right triangles. The unit circle will be developed and explored in addition to applications of radians as they relate to arc length, linear and angular speed. Trig graphs will be investigated, including their transformations and how they can be used to solve equations. A thorough review of trig identities is included, in addition to the Law of Sines and Law of Cosines, to be used to solve oblique triangles. This course will prepare a student to use trigonometry in advanced topics.

Course Requirements

Grade Level

9-12

Materials

None

Duration

2 Semesters

Credit Value

0.5

Prerequisites

None

Outline

Enduring Understandings of this Course

  • The ratio of the sides of a right triangle can be used to solve practical problems involving missing sides and angles of a right triangle.
  • The unit circle is a tool that can be used to find the value of trig functions of angles whose reference angles correspond to angles, in either degree or radian measure, of special right triangles.
  • Many phenomena in nature create data that falls in a sinusoidal pattern and trigonometric graphs and the unit circle can be used to solve problems involving these phenomena.
  • Trigonometric identities can be used to simplify and evaluate trigonometric functions.
  • The Law of Sines and the Law of Cosines can be used when solving for missing parts of non-right (oblique) triangles.