Let's Jam: The Math of Music | Part 2: Ride the Waves (Precalculus)
A lot of people make music, but who really MAKES their own MUSIC?
Introduction
Embark on a journey into the science of sound waves, discovering how frequency, amplitude, and velocity shape our auditory experiences. You'll also explore harmonics and resonance, unveiling the mathematical relationships that create harmony in music.
From theoretical principles to real-world application, this project will immerse you in the hidden math and science of every musical note. You're not just a musician or a mathematician, not just a physicist or an artist - you're an explorer at the crossroads of these fields. It's time to compose your symphony!
Essential Questions
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What are the trigonometric identities?
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How are trig identities used to simplify and solve problems?
Learning Objectives
Students will be able to…
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Apply the trigonometric identities to solve problems.
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Distinguish between odd and even trigonometric functions.