Lesson Plan: Trigonometry in Three Dimensions Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve trigonometry problems in three dimensions.
Objectives
Students will be able to
- recognize where to apply the trigonometric ratios sine, cosine, and tangent to solve problems involving angles in three dimensions,
- find planar right triangles in three-dimensional figures to solve trigonometric problems,
- combine trigonometry and the Pythagorean theorem to solve problems involving angles and lengths in three dimensions,
- solve three-dimensional trigonometry problems in real-world contexts.
Prerequisites
Students should already be familiar with
- right triangle trigonometry,
- the Pythagorean theorem.
Exclusions
Students will not cover
- the law of sines,
- the law of cosines.