Lab Name Sound and Sinusoidal Waves.
Subject Area Mathematics
Grade 11 - 12
Topic Sound and Sinusoidal Waves.
Experiment Title Sound and Sinusoidal Waves.
Hardware
  • COMOS Toolkit: Computer Node
Software
  • COSMOS Toolkit: Framework
  • GNU Radio
Number of Sessions to teach the topic 8 sessions
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.
COSMOS concepts to be used for the lab Understanding properties of waves, (i.e., frequency, amplitude, period, wavelength)
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.
Short Description and Walk-through of the experiment Day 1
  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.
  2. Part 2 of the worksheet #1 takes on the graphical interpretation of different transformations of frequency waves.
  3. Part 3 is using GNU radio companion software program that will give students the opportunity to explore and discover. (Frequency, Amplitude, wavelength, etc)
  4. Students will now explore further using Desmos activity lesson. Computers will be needed. https://teacher.desmos.com/activitybuilder/custom/56b3e682b884dbd81be6ed09
  5. Homework would be given based upon the different transformation of a sinusoidal wave most likely using Deltamath.com.
Day 2
  1. Students might be continuing with the activity given on Desmos activity lesson.
  2. 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.
  3. Students will then be given a worksheet to start in class and finish for homework.
Day 3
  1. 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.
  2. 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.
  3. Part 7 students will make their own 20 second music clips based upon using multiple frequencies.
Day 4
  1. 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.

Experiment Execution

Follow the instruction provided in the worksheet and press the START button in order to observe the sound waves. In order to terminate the experiment press the STOP button.

Experiment Material

NGSS Lesson Plan
Worksheet
Worksheet 2
Reference Links
Notes

© 2019 COSMOS Project. Created by Adam Seidman, Beacon School.