Unpacked Content
Knowledge
Students know:
- Trigonometric ratios for right triangles.
- The appropriate sign for coordinate values in each quadrant of a coordinate graph.
Skills
Students are able to:
- Accurately find relationships of trigonometric functions for an acute angle of a right triangle to measures within the unit circle.
- Justify triangle similarity.
- Find the reference angle for any angle found by a revolution on a ray in the coordinate plane.
- Relate the trigonometric ratios for the reference angle to those of the original angle.
- Determine the appropriate sign for trigonometric functions of angles of any given size.
Understanding
Students understand that:
- Trigonometric functions may be extended to all real numbers from being defined only for acute angles in right triangles by using the unit circle, reflections, and logical reasoning.
Vocabulary
- Unit circle
- Radian measure
- Quadrantal
- Traversed
