|
Generated on 9/15/2025 at 3:42 PM |
The webpage this document was printed/exported from can be found at the following URL:
https://www.cpalms.org//PreviewStandard/Preview/15732
https://www.cpalms.org//PreviewStandard/Preview/15732
Given a mathematical or real-world context, choose sine, cosine or tangent trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift and midline.
Standard #: MA.912.T.3.1
Standard Information
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Trigonometry
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
- Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) # 1202340
- Mathematics for ACT and SAT (Specifically in versions: 2022 - 2024, 2024 and beyond (current)) # 1209315
Related Resources
Lesson Plans
-
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.
- Tune In and Sine # This lesson is intended to show students how to use the equations and graphs of sine and cosine to model real-world applications particularly using amplitude, period, and midline.
- City Temperatures and the Cosine Curve # Students will work with temperature data from San Antonio, Texas and Buenos Aires, Argentina. They will view the periodicity of the city temperatures and build cosine functions to fit the data. The function equation results are then used to find temperatures for a given day, or certain days for a given temperature.
Perspectives Video: Expert
- Mathematically Exploring the Wakulla Caves # The tide is high! How can we statistically prove there is a relationship between the tides on the Gulf Coast and in a fresh water spring 20 miles from each other? Download the CPALMS Perspectives video student note taking guide.
Problem-Solving Tasks
- Foxes and Rabbits 2 # This problem solving task challenges students to use trigonometric functions to model the number of rabbits and foxes as a function of time.
- 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.