November 11, 2016

This PhET "Gold Star Winner" is a four-week instructional unit on the topic of Waves, created by a high school teacher. It was designed to be used with interactive simulations developed by PhET, the Physics Education Technology project. Included are detailed lessons for integrating labs, simulations, demonstrations, and concept questions to introduce students to properties and behaviors of waves. Specific topics include frequency and wavelength, sound, the wave nature of light, geometric optics, resonance, wave interference, Doppler Effect, refraction, thin lenses, wave addition, and more. Editor's Note: This classroom-tested resource could be of great value in meeting expanded national standards on wave energy. In one package, it brings together lessons, "clicker" or warm-up questions, digital media, hands-on activities, and unit reviews with answer keys. It can be easily condensed and adapted to a range of course levels from physical science to AP physics.

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- Mathematics > General

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Interpret functions that arise in applications in terms of the context

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.?

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.?

Analyze functions using different representations

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.?

Graph linear and quadratic functions and show intercepts, maxima, and minima.

Build new functions from existing functions

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Model periodic phenomena with trigonometric functions

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.?