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#### Description:

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.

#### Subjects:

• Education > General
• Mathematics > General

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.ELA-Literacy.RST.11-12.4: Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science,

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.

#### CCSS.ELA-Literacy.RST.11-12.10: Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science,

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

#### CCSS.Math.Content.HSA-CED.A: Common Core State Standards for Mathematics

Create equations that describe numbers or relationships

#### CCSS.Math.Content.HSA-CED.A.1: Common Core State Standards for Mathematics

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.

#### CCSS.Math.Content.HSA-CED.A.4: Common Core State Standards for Mathematics

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

#### CCSS.Math.Content.HSA-REI.B: Common Core State Standards for Mathematics

Solve equations and inequalities in one variable

#### CCSS.Math.Content.HSA-REI.B.3: Common Core State Standards for Mathematics

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

#### CCSS.Math.Content.HSF-IF.B: Common Core State Standards for Mathematics

Interpret functions that arise in applications in terms of the context

#### CCSS.Math.Content.HSF-IF.B.4: Common Core State Standards for Mathematics

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.?

#### CCSS.Math.Content.HSF-TF.A: Common Core State Standards for Mathematics

Extend the domain of trigonometric functions using the unit circle

#### CCSS.Math.Content.HSF-TF.A.1: Common Core State Standards for Mathematics

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

#### CCSS.Math.Content.HSF-TF.A.2: Common Core State Standards for Mathematics

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.

#### CCSS.Math.Content.HSF-TF.A.4: Common Core State Standards for Mathematics

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

#### CCSS.Math.Content.HSF-TF.B: Common Core State Standards for Mathematics

Model periodic phenomena with trigonometric functions

#### CCSS.Math.Content.HSF-TF.B.5: Common Core State Standards for Mathematics

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