Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...

Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...

Young scholars examine the basic concepts of radio waves and magnetic fields. They study how the AM radios are built and demonstrate the concepts of amplitude and frequency.

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 

A few definitions related to waves open this slide show. Note that the information only covers light waves even though the title mentions sound. Correct the title before using this resource. Another mention is a set of photos of a class...

Fifth graders examine electromagnetic wave spectrum. In this science lesson, 5th graders discuss the aspects of the electromagnetic wave spectrum and complete a worksheet identifying the parts of the spectrum.

In this math worksheet, learners discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.

In this modeling the Keeling Curve instructional activity, students use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the...

Here is described a simple process to 'put a voice on a sunbeam' and transmit it over a distance. It is a fascinating example of amplitude modulation of light using sound vibrations. It then describes how the modulated light is detected...

A simple picture showing amplitude modulation. The thin line goes quickly from top to bottom as it moves from left to right.

This brief essay from A Science Odyssey Web site describes the difference between FM and AM radio waves.

This illustrated essay from A Science Odyssey Web site explains the science behind radio waves, including the role of electrons and electromagnetic fields.

This resource explains how to relate constants in trigonometric function to amplitudes, vertical shifts, periods, and horizontal or phase shifts with the help of many solved examples for various trigonometric functions.

Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.