| Lab Name |
Conic Sections and Solar Cooker
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| Subject Area |
Mathematics
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| Grade |
11
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| Topic |
Trigonometry
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| Experiment Title |
How to harness the sun rays?
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| Hardware |
- COSMOS Toolkit: Computer Node
- COSMOS Toolkit: Mobile Node
- COSMOS Toolkit: IoT Nodes with sensors (i.e., temperature, humidity, polluting dust, luminocity, CO2)
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| Software |
- COSMOS Toolkit: Framework
- Chronograf
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| Number of Sessions to teach the topic |
1 month
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| Educational standards to be addressed |
- CCSS.MATH.CONTENT.G.GPE.3
Category Expressing Geometric Properties With Equations Sub-Category Translate Between The Geometric Description And The Equation For A Conic Section State Standard:
- Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
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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 |
Phase 1
- Task: You’ve decided to become an engineer who specializes in thermodynamic properties. Your job is to design your own apparatus using conic sections to use the sun’s rays. Your task is to create a mathematical model (conic section) of apparatus that will be tested outside of the classroom at the end of May.
Mathematical Model of your apparatus
- An apparatus that is sturdy and portable which will harness the rays of the sun to melt something in a short amount of time. The design must utilize mathematics at the Pre-calculus level including conic sections.
Phase 2
To complete this task, follow these steps:
- The apparatus will be designed and built by you. Be creative and not copy an exact design that you find on the internet. This can be researched.
- The apparatus must be functional. This is your goal.
Phase 3
- You will test your apparatus with a light sensor probe. Students will analyze the data and make conclusions on where there focal point will be based upon their predictions.
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