Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Purple Math
Purplemath: Trigonometric Functions and Their Graphs
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Illustrative Mathematics
Illustrative Mathematics: F Tf Foxes and Rabbits 3
Students are presented with two graphs that show the populations of foxes and rabbits in a national park over a 24-month period. This is the third Foxes and Rabbits task. In this more realistic problem, students must find functions that...
Illustrative Mathematics
Illustrative Mathematics: F Tf Foxes and Rabbits 2
Students are presented with a table that shows the populations of foxes and rabbits in a national park over a 12-month period. This is the second Foxes and Rabbits task. In this problem, students must find trigonometric functions that...
Illustrative Mathematics
Illustrative Mathematics: F Tf, F if 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. Aligns with F-TF.B.5 and F-IF.B.4.
Illustrative Mathematics
Illustrative Mathematics: F Tf Hours of Daylight 1
In order to determine how effective solar panels would be at various times of the year, it is important to know the amount of daylight at a given location. Students are asked to find an appropriate function that serves as a mathematical...
Khan Academy
Khan Academy: Algebra Ii: Modeling With Sinusoidal Functions
Given the description of a real-world relationship, find the sinusoidal function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Construct Sinusoidal Functions
Given a few features of a sinusoidal function, find its formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Trigonometry: Period and Frequency
[Free Registration/Login may be required to access all resource tools.] Relating period and frequency for a sine or cosine graph with examples, practice problems, and vocabulary.