Solve and graph mathematical and real-world problems that are modeled with trigonometric functions. Interpret key features and determine constraints in terms of the context.
Clarifications
Clarification 1: Key features are limited to domain; range; intercepts; intervals where the function is increasing, decreasing, positive or negative; relative maximums and minimums; symmetry; end behavior; periodicity; midline; amplitude; shift(s) and asymptotes.
Clarification 2: Instruction includes representing the domain, range and constraints with inequality notation, interval notation or set-builder notation.
Clarification 3: Instruction includes using technology when appropriate.
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
Related Resources
Formative Assessment
| Name |
Description |
| Elevation Along a Trail | Students are asked to interpret key features of a graph (symmetry) in the context of a problem situation. |
Lesson Plan
| Name |
Description |
| Ferris Wheel | This lesson is intended to help you assess how well students are able to:
- Model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions.
- Interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.
|
Perspectives Video: Expert
Problem-Solving Tasks
| Name |
Description |
| The Lighthouse Problem | This problem asks students to model phenomena on the surface of the earth by examining the visibility of the lamp in a lighthouse from a boat. |
| As the Wheel Turns | In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context. |
Student Resources
Perspectives Video: Expert
Problem-Solving Tasks
| Name |
Description |
| The Lighthouse Problem: | This problem asks students to model phenomena on the surface of the earth by examining the visibility of the lamp in a lighthouse from a boat. |
| As the Wheel Turns: | In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context. |
Parent Resources
Problem-Solving Tasks
| Name |
Description |
| The Lighthouse Problem: | This problem asks students to model phenomena on the surface of the earth by examining the visibility of the lamp in a lighthouse from a boat. |
| As the Wheel Turns: | In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context. |
