This is a set of 30 interactive tutorials on the fundamentals of waves, appropriate for AP level or for students who have adequate preparation in advanced algebra/trigonometry. It starts with very simple wave properties and ends with nonlinear wave behavior. The author's emphasis is on properties/behaviors of waves which are hard to understand by looking at a textbook page; for example, wave interference, collision with boundaries (reflection), the motion of water waves, and addition of linear waves. Each of the tutorials contains a Java simulation of the wave process being discussed, plus a set of problems to encourage self-paced exploration.

Editor's Note:The first 10 tutorials can be adapted for use in Physics First or conceptual physics courses. As the lessons progress into polarization and non-linearity, both the reading and mathematics levels become more appropriate for AP physics. This resource could also be quite helpful to new and crossover teachers desiring a refresher in the properties and behavior of waves.

6-8: 4F/M4. Vibrations in materials set up wavelike disturbances that spread away from the source. Sound and earthquake waves are examples. These and other waves move at different speeds in different materials.

6-8: 4F/M6. Light acts like a wave in many ways. And waves can explain how light behaves.

6-8: 4F/M7. Wave behavior can be described in terms of how fast the disturbance spreads, and in terms of the distance between successive peaks of the disturbance (the wavelength).

9-12: 4F/H5ab. The observed wavelength of a wave depends upon the relative motion of the source and the observer. If either is moving toward the other, the observed wavelength is shorter; if either is moving away, the wavelength is longer.

9-12: 4F/H6ab. Waves can superpose on one another, bend around corners, reflect off surfaces, be absorbed by materials they enter, and change direction when entering a new material. All these effects vary with wavelength.

9-12: 4F/H6c. The energy of waves (like any form of energy) can be changed into other forms of energy.

11. Common Themes

11B. Models

6-8: 11B/M4. Simulations are often useful in modeling events and processes.

Common Core State Standards for Mathematics Alignments

High School — Algebra (9-12)

Creating Equations^{?} (9-12)

A-CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

High School — Functions (9-12)

Interpreting Functions (9-12)

F-IF.4 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.^{?}

F-IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.^{?}

F-IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Trigonometric Functions (9-12)

F-TF.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.^{?}

Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12

Craft and Structure (6-12)

RST.11-12.4 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.

Range of Reading and Level of Text Complexity (6-12)

RST.11-12.10 By the end of grade 12, read and comprehend science/technical texts in the grades 11—CCR text complexity band independently and proficiently.

This resource is part of 2 Physics Front Topical Units.

Topic: Wave Energy Unit Title: Teaching About Waves and Wave Energy

New and crossover teachers often appreciate a way to "see" physics beyond the pages of a textbook. This interactive tutorial covers every topic typically studied in an introduction to Waves. There are 20 sequenced tutorials, each with a discussion of one focused idea, a Java simulation that depicts that idea, and self-guided questions at the end.

Topic: Wave Energy Unit Title: Teaching About Waves and Wave Energy

Many students benefit from a simulation-based exploration of physics phenomena that allows them to self-pace. This is a set of 20 sequenced tutorials on the topic of Waves, developed to promote understanding of processes that can't be visualized in a textbook illustration. Each tutorial has a discussion section, a Java simulation the students can manipulate, and self-guided questions at the end.

%0 Electronic Source %A Forinash, Kyle %D August 9, 2005 %T Waves: An Interactive Tutorial %V 2015 %N 27 February 2015 %8 August 9, 2005 %9 application/java %U http://homepages.ius.edu/kforinas/WJS/WavesJS.html

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