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Interactive Mathematics: Graphs of the Trigonometric Functions
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The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Interactive Mathematics
Date Added:
08/07/2023
Introduction to Probability
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Introduction to Probability is a resource that provides assessment and teacher tutorials that focus on mathematic concepts such as probability, outcomes, events, probability distribution, laws, values and odd.

Subject:
Mathematics
Material Type:
Module
Provider:
Sophia Learning
Date Added:
08/07/2023
Math with Jake: Frequencies & Pitch
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In this video, musician Jake Shimabukuro uses the pitch of musical notes and vibrations in hertz to illustrate the concept of ratios. This clip is from Center for Asian American Media. In the accompanying classroom activity, students watch a portion of the video in which Shimabukuro explains the 3/4 time signature. After a brief introduction to musical pitch, students watch the rest of the video. They then use a chart listing the frequency of musical notes to identify ratios among notes that are one or more octaves apart. To get the most from the activity, students should have some familiarity with physics of sound.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
PBS LearningMedia
Date Added:
11/06/2023
Measuring Distance with Sound Waves
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Students learn about sound waves and use them to measure distances between objects. They explore how engineers incorporate ultrasound waves into medical sonogram devices and ocean sonar equipment. Students learn about properties, sources and applications of three types of sound waves, known as the infra-, audible- and ultra-sound frequency ranges. They use ultrasound waves to measure distances and understand how ultrasonic sensors are engineered.

Subject:
Engineering
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Irina Igel
Date Added:
09/18/2014
Monitoring Noise Levels with a Smart Device
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Students learn the physical properties of sound, how it travels and how noise impacts human health—including the quality of student learning. They learn different techniques that engineers use in industry to monitor noise level exposure and then put their knowledge to work by using a smart phone noise meter app to measure the noise level at an area of interest, such as busy roadways near the school. They devise an experimental procedure to measure sound levels in their classroom, at the source of loud noise (such as a busy road or construction site), and in between. Teams collect data using smart phones/tablets, microphones and noise apps. They calculate wave properties, including frequency, wavelength and amplitude. A PowerPoint® presentation, three worksheets and a quiz are provided.

Subject:
Engineering
Mathematics
Measurement and Data
Physical Science
Physics
Science
Statistics and Probability
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Jana B. Milford
Kent Kurashima
Date Added:
11/03/2017
Natural Frequency and Buildings
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Students learn about frequency and period, particularly natural frequency using springs. They learn that the natural frequency of a system depends on two things: the stiffness and mass of the system. Students see how the natural frequency of a structure plays a big role in the building surviving an earthquake or high winds.

Subject:
Engineering
Life Science
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jake Moravec
Date Added:
09/18/2014
The Nature of a Wave
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A very good introduction to the world of waves. Waves and wavelike motion, what is a wave, and categories of waves are the topics examined in this site. Many links to other wave sites.

Subject:
Science
Material Type:
Lesson
Provider:
The Physics Classroom
Date Added:
08/07/2023
Never the Way They Seem (Effect of Frequency)
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An MIT mathematics teacher presents a module on a particular effect of frequency called the stroboscopic effect. Students will learn about low and high frequency phenomena, the stroboscope, and real-life examples of the stroboscopic. Video is accompanied by a teacher's guide, transcript, hand-out, and several related links. [19:25]

Subject:
Science
Material Type:
Audio/Video
Provider:
Massachusetts Institute of Technology
Provider Set:
Blossoms
Date Added:
10/03/2023
Nodes and Antinodes
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In this thorough lesson, nodes and antinodes are explained and compared to crests and troughs. A "Check Your Understanding," set of questions is included at the end of the lesson with answers.

Subject:
Science
Material Type:
Lesson
Provider:
The Physics Classroom
Date Added:
08/07/2023
P.5 Electromagnetic Radiation
Unrestricted Use
CC BY
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How do we use radiation in our lives, and is it safe for humans? How do we use radiation in our lives, and is it safe for humans? This unit begins with a news article about the unconventional use of microwave ovens to store electronics. Students are motivated to test the behavior of a Bluetooth speaker playing music from a device inside the oven when it is not running. They also test what happens when it runs and heats up food. This phenomenon sets the stage for exploring wave behavior, the interactions of matter with electromagnetic radiation, and how we can use these interactions in different technologies to digitize, store and transfer information. ​​Throughout the unit, students use simulations to model field interactions and energy transfer through electromagnetic radiation. They conduct investigations using the microwave oven to explore how different materials interact with microwave radiation, and how the structure of this device affects energy transfer. Students explain how the frequency and amplitude of electromagnetic radiation affects its interactions with matter and evaluate the wave and photon models of electromagnetic radiation. Students obtain and communicate information about the uses of electromagnetic radiation, its safety, and methods of protection. They apply these ideas in a culminating task to evaluate whether 5G technology is safe.

OpenSciEd content is highly rated in EdReports and is aligned to NGSS standards.

Subject:
Physics
Science
Material Type:
Module
Unit of Study
Provider:
OpenSciEd
Date Added:
01/26/2024
PhET: Normal Modes
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An interactive simulation that teaches about oscillators, normal modes, and polarization by varying the number of masses and initial conditions to determine their effect on 1D or 2D systems of coupled mass-spring oscillators. This simulation can either be downloaded or played online and includes handouts, lesson plans, and additional materials.

Subject:
Science
Material Type:
Lesson Plan
Provider:
University of Colorado
Provider Set:
PhET Interactive Simulations
Date Added:
10/05/2022
PhET: Resonance
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An interactive simulation that teaches about resonance, harmonic motion, and oscillator by observing varying frequencies and amplitudes, damping constants, and the mass and spring constant to determine the effect on resonance. This simulation can either be downloaded or played online and includes handouts, lesson plans, and additional materials.

Subject:
Science
Material Type:
Lesson Plan
Provider:
University of Colorado
Provider Set:
PhET Interactive Simulations
Date Added:
10/05/2022
PhET: Wave on a String
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Students can observe the properties of a wave with different variables. Students can experiment with the type of end, damping factor, and tension in the string. Possible teacher lesson plans are included at the bottom of the page.

Subject:
Science
Material Type:
Interactive
Provider:
University of Colorado
Provider Set:
PhET Interactive Simulations
Date Added:
10/05/2022
PhET: Wave on a String
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An interactive simulation that teaches about waves, frequency, and amplitude by observing the waves and vibrations of a string while changing variables like distance, speed, fixed or unfixed ends, and more. This simulation can either be downloaded or played online and includes handouts, lesson plans, and additional materials.

Subject:
Science
Material Type:
Interactive
Provider:
University of Colorado
Provider Set:
PhET Interactive Simulations
Date Added:
10/05/2022
Pitch: Super Sounding Drums
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This video segment, adapted from ZOOM, explores sounds made by homemade drums of different sizes, shapes, and materials. [3:41]

Subject:
Science
Material Type:
Audio/Video
Provider:
PBS LearningMedia
Date Added:
12/01/2022