Unpacked Content
Knowledge
Students know:
- Periodic situations are best modeled by trig functions.
- Solutions that are mathematically possible may not be physically possible in the context of the problem.
- Determine when technology is appropriate to finding a solution.
Skills
Students are able to:
- Solve a trig equation.
- Interpret the meaning of the solution.
- Interpret a domain in a contextual situation.
- Use technology to solve a trig equation.
- Translate a computed solution to an equivalent solution that fits in the physical domain (i.e., If -30 degrees is a solution, then another solution can be 330 degrees).
Understanding
Students understand that:
- There are periodic phenomena in real life that can be modeled by trig functions.
- From the many solutions that result from a periodic function, only some may be logical given the context.
Vocabulary
- Inverse functions
- Trigonometric equations