Topics covered in this semester-long course include Pythagorean relationships, functions and their graphs, trigonometric functions, right triangle trigonometry, angles of rotation and radian measure, graphs of trigonometric functions, trigonometric formulas and identities, and polar coordinates. Trigonometry teaches that 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. Students will learn that 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.

PRE-REQUISITES: Algebra 2 and Geometry

ESTIMATED COMPLETION TIME: 16-18 weeks or approximately 65 – 75 hours

MAJOR TOPICS AND CONCEPTS 

Right Triangle Trigonometry

  • Angles, Degrees and Triangles
  • Similar Triangles
  • Definitions of Trigonometric Functions
  • Evaluating Trig Functions
  • Solving Right Triangles
  • Inverse Trig Functions

Trig Functions and the Unit Circle

  • Angles in the Cartesian plane
  • The Unit Circle
  • Basic Trig Identities
  • Radian Measure
  • Arc Length and the Area of a Circular Sector
  • Linear and Angular Speed

Graphs and Trig Equations

  • Periodic Graphs
  • Graphs of the Sine and Cosine functions
  • Transformations of the Sine and Cosine graphs
  • Graphs of Other Trig Functions
  • Sinusoidal Regression
  • Inverse Trig Functions and Their Graphs
  • Solving Trig Equations

Trig Identities

  • Simplifying Trig Expressions
  • Sum and Difference Identities
  • Double Angle and Half Angle Identities
  • Law of Sines
  • Law of Cosines
  • Area of a Triangle

LINKS TO FULL COURSE CURRICULUM MAPS

SEGMENT A/B