Standard #: MA.912.T.3.1


This document was generated on CPALMS - www.cpalms.org



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.


Related Courses

Course Number1111 Course Title222
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
1209315: Mathematics for ACT and SAT (Specifically in versions: 2022 - 2024, 2024 and beyond (current))


Related Resources

Lesson Plans

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.
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

Name Description
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

Name Description
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.

Student Resources

Perspectives Video: Expert

Name Description
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

Name Description
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.



Parent Resources

Problem-Solving Tasks

Name Description
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.



Printed On:4/16/2025 5:51:15 PM
Print Page | Close this window