November 11, 2016

This multimedia tutorial provides explanations and models of wave superposition. It contains multiple images, animations, and interactive simulations designed to represent what happens when two waves move through the same region of space at the same time. Included are models of single and double-source interference, simulated oscilloscopes showing sine waves combining, and explanations of path and phase difference. Also included is a detailed explanation of the origin of pi and radians, plus a simple experiment that explores two sound sources interfering.. A self-test is provided at the end of the tutorial. This item is part of a larger collection of multimedia tutorials on waves and acoustics, developed by the University of Salford, UK. The tutorials are accompanied by more than 60 high-speed videos and animations that represent fundamental properties of waves.

- Education > General
- Mathematics > General

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Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 11—12 texts and topics.

By the end of grade 12, read and comprehend science/technical texts in the grades 11—CCR text complexity band independently and proficiently.

Create equations that describe numbers or relationships

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Solve equations and inequalities in one variable

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

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.?

Extend the domain of trigonometric functions using the unit circle

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Model periodic phenomena with trigonometric functions

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