Windstream
Ojk's Precalculus Study Page: Periodic Functions, Stretching and Translating
This online tutorial offers a comprehensive introduction to translating and stretching graphs, and what this implies about the function. Includes lots of pictures and examples.
Purple Math
Purplemath: Trigonometric Functions and Their Graphs
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Khan Academy
Khan Academy: Periodicity of Algebraic Models
Given the graph that models a real-world context, answer a question about the periodicity of the graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Periodicity of Algebraic Models
Given the graph that models a real world context, answer a question about the periodicity of the graph.
Khan Academy
Khan Academy: Modeling With Sinusoidal Functions: Phase Shift
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift. Students receive immediate feedback and have the opportunity to try...
Illustrative Mathematics
Illustrative Mathematics: F if Model Airplane Acrobatics
In this task, a model airplane pilot is practicing flying her airplane in a big loop for an upcoming competition. The task could serve as an introduction to periodic functions and as a lead-in to sinusoidal functions. By visualizing the...
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
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.
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, 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.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Trig Tour
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Interactive Mathematics
Interactive Mathematics: Full Range Fourier Series
This lesson presents the Dirichlet conditions that are required in order to represent a function as a Fourier Series. Examples are provided along with graphs of the waveforms that represent the functions.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Trigonometry Review
The Northeast Parallel Architectures Center, Syracuse University, provides a review and tutorial site on trigonometry. The information is in-depth and can be accessed by clicking on the various links in the outline.
Shodor Education Foundation
Shodor Interactivate: Lesson: Arithmetic Practice W/ Ordered Pairs
The Shodor Education Foundation provides this lesson plan to have students practice simple computation that results in them graphing their answers. If they are accurate they will have a straight line. Students use an interactive...