| Lab Name |
Sound and Sinusoidal Waves.
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| Subject Area |
Mathematics
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| Grade |
11 - 12
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| Topic |
Sound and Sinusoidal Waves.
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| Experiment Title |
Sound and Sinusoidal Waves.
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| Hardware |
- COMOS Toolkit: Computer Node
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| Software |
- COSMOS Toolkit: Framework
- GNU Radio
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| Number of Sessions to teach the topic |
8 sessions
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| Educational standards to be addressed |
- CCSS.MATH.CONTENT.HSF.TF.B.5
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
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| COSMOS concepts to be used for the lab |
Understanding properties of waves, (i.e., frequency, amplitude, period, wavelength)
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| K12 Educational Goals (How the educational goals are achieved through teaching using the experiment, how the topic is connected to the COSMOS concepts used) |
Having the students learn through inquiry and discovery the founding principles related with graphing sinusoidal waves.
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| Short Description and Walk-through of the experiment |
Day 1
- Students will work in groups and will be given worksheet #1. Part 1 of the worksheet students will be presented with questions that will bring a group discussion.
- Part 2 of the worksheet #1 takes on the graphical interpretation of different transformations of frequency waves.
- Part 3 is using GNU radio companion software program that will give students the opportunity to explore and discover. (Frequency, Amplitude, wavelength, etc)
- Students will now explore further using Desmos activity lesson. Computers will be needed. https://teacher.desmos.com/activitybuilder/custom/56b3e682b884dbd81be6ed09
- Homework would be given based upon the different transformation of a sinusoidal wave most likely using Deltamath.com.
Day 2
- Students might be continuing with the activity given on Desmos activity lesson.
- Part 4 is worksheet #2. Students will learn about different frequencies associated with an exponential function. They will calculate and follow the questions. Class will come together to discuss at the end.
- Students will then be given a worksheet to start in class and finish for homework.
Day 3
- Part 5 students would match their voice with the different frequencies. A microphone will be attached to the computer along with a visual representation would aid this part. Students will take notes about the changes and to determine the domain of their frequencies both for male and female.
- Part 6 students will analyze a piece of music. They will take a 20 second clip to determine frequency, amplitude, period and take a screenshot and find the equation that describes it.
- Part 7 students will make their own 20 second music clips based upon using multiple frequencies.
Day 4
- This last day has different closure options.
- 1st option: To give the students a quiz/quest covering all of the basic concepts for a sinusoidal wave.
- 2nd option: Cymatic - Making visual sound waves with change in frequency. Students can explore on their own or in groups.
- 3rd option: Students will connect a picture with there sound. Either a sentence or just a word then to print it out and be artistic.
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