/ I / the Phenomenon |
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Waves have repeating properties that can be Modeled and measured.
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[CER] DISCUSSION QUESTION:
How can we use math to model waves? Make a claim then gather evidence to support and justify your claim throughout this lesson. |
/ Ii / Investigate
1. Tsunami Wave! - use slinky springs to measure and use math to investigate the energy and properties of tsunami waves.
2. Making Waves - investigate the relationships between energy, amplitude, and frequency using water. 3. Constructive and Destructive Interference - use a simulation to investigate how waves interact. 4. Let's Make Some Noise! - use math to represent how the amplitude, volume, frequency, and pitch of waves changes during interference. |
/ iII / Level Up!
During this lesson you will learn more about the characteristic properties and behaviors of waves including:
- A simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude.
- A sound wave needs a medium through which it is transmitted.
- Geologists use seismic waves and their reflection at interfaces between layers to probe structures deep in the planet.
/ IV / choose your path
ADVANCED [+4 points]
Ocean waves have a powerful influence on both marine life and the planet’s climate. The biggest wave ever recorded by humans was documented on July 9, 1958, in Lituya Bay, in southeast Alaska, when an earthquake triggered a series of events that resulted in a mega-tsunami 524 meters tall! A wave’s energy is proportional to the square of its height (E ∝ A²). For example, a 3-meter-high wave has nine times more potential than a 1-meter-high wave. Gentle, 1-meter-high waves disperse 10kW of energy per meter of beach. Analyze this pattern to identify the amount of energy present in the biggest wave ever recorded. |
EXPERT [+5 points]
Accurately predict the change in energy of this drummers sound waves if the following parameters of the wave changes:
MASTER [+6 points]
Create your own mathematical representation to accurately describe how the amplitude of a wave is related to the energy in a wave. |
/ V / Knowledge Check
Sound waves are all around us, from the chirping of birds to the music we listen to on our headphones. Some students wanted to know how do these waves travel, and what properties they have by modeling sound waves using slinkies to visualize how sound waves propagate through a medium. By stretching and compressing the coils of the slinky, the students simulated the motion of particles in the air when a sound wave passes through. By modeling waves using slinkies these students could experiment and observe changes in amplitude, frequency, wavelength, energy, and how they affect the characteristics of sound.
✓ MASTERY CHECK
National Research Council 2012. A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas. Washington, DC: The National Academies Press. https://doi.org/10.17226/13165
This site contains original content that may not be authorized for use by the creator and is legally used under the fair use principles section 107 of the Copyright Act of 1986 (17 U.S. Code § 107)
The official NGSS website. https://www.nextgenscience.org
PS4.A, MS-PS4-1
Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave. (Patterns) [MS-PS4-1]
This site contains original content that may not be authorized for use by the creator and is legally used under the fair use principles section 107 of the Copyright Act of 1986 (17 U.S. Code § 107)
The official NGSS website. https://www.nextgenscience.org
PS4.A, MS-PS4-1
Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave. (Patterns) [MS-PS4-1]