- How does periodicity connect to music?
- What is high frequency?
- What is low frequency?

**Engineering Design Process (EDP)**

How will students test or implement the solution? What is the evidence that the solution worked? Describe how the iterative process from the EDP applies to your Challenge.

**Give students an option of working alone or with one other person.**

**The problems students have encountered is created a music beat with sine and cosine functions. Students must figure out the changes in the graph as the numbers (being coefficients or constants) do to the graph. Their graphs/functions must match the beat they create using the Loopy app. This process is going to require multiple refine and redesign steps.**

**The research students must do is research frequency waves, high and low to determine what sine and cosine functions to use. Research will also need to include music videos of waves, in addition to sine and cosine wave functions. Students must learn to be creative while creating their music beats. **

How will students present or defend the solution? Describe if any formal training or resource guides will be provided to the students for best practices (e.g., poster, flyer, video, advertisement, etc.) used to present work.

**Students will create a music video with images of their sine and cosine functions, as well as their music beats they created. Students will create this video in our Multimedia Management course. They have already learned to use iMovie to create their music videos for their History project.**

What academic content is being taught through this Challenge?

**Students will learn how to graph sine and cosine functions. Students will also learn how to model periodic phenomena with specified frequency. Students will decide what numbers make changes in the graphâ€™s frequency. **

##### Unit Activities

**Day 1:** 50 minutes in Algebra II: Do Hook https://www.youtube.com/watch?v=5Ge5okdQZbw

In addition to the hook show students this link or have student play with it and decipher how changing the variables change the graph.

http://www.mathdemos.org/mathdemos/trigsounddemo/trigsounddemo.html

PowerPoint and Pre-Assessment

**Day 2:** 110 minutes Activity on Sine and cosine waves. Graph on excel and determine what makes the wave faster or slower. Be sure students are doing enough research and gather enough data on music, frequency and patterns so they understand what type of beat they want to do.

Before having students complete the sine and cosine worksheet have them work in partners on this pitch and frequency piece. The students will get a better handle on the topic instead of jumping straight into the sine and cosine content.

http://content.teachengineering.org/content/cub_/activities/cub_energy2/cub_energy2_lesson05_activity3_worksheet.pdf

Complete the graphing sine and cosine functions worksheet

If time allows that day, students will use the looper app and start designing their music track using their beatboxing skills.

**Day 3:** Continue creating beat using Looper. Now with the app and your cosine and sine waves, figure out what waves will match the sound waves of your music.

**Be Prepared: Teachers keep in mind that all students cannot record their sound track in the same classroom. Have different areas set aside ahead of time so students are able to record alone with their partner.

Day 4: Post-Assessment and discussion of findings

##### Additional Resources

iPads with Looper app installed.

Laptop using excel

Graphing calculators

Teach Engineering - Making Music