Design and construct a light fixture that seamlessly integrates right triangle trigonometry to achieve both functionality and aesthetic appeal. Begin by exploring the principles of trigonometry, applying them to create sketches and models that reflect your understanding. Collaborate with peers for feedback and refinement, ensuring your final product is both accurate and innovative. Upon completion, present your light fixture to a community partner, demonstrating the practical application of mathematical concepts in real-world design.
Learning goals
Develop a comprehensive understanding of right triangle trigonometry by applying sine, cosine, and tangent ratios, as well as the Pythagorean theorem, to design and construct a functional light fixture. Enhance your ability to solve real-world problems by determining precise dimensions and angles for your fixture's structure. Cultivate skills in design thinking and creativity while considering both functionality and aesthetics in your light fixture. Engage in collaborative feedback processes to refine your design and ensure both trigonometric accuracy and artistic appeal. Contribute to the community by donating your completed light fixture to a local partner, demonstrating the practical impact of your learning.
Standards
Common Core - CCSS.MATH.CONTENT.HSG.SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Common Core - CCSS.MATH.PRACTICE.MP4: Model with mathematics.
Common Core - CCSS.ELA-LITERACY.SL.9-10.1: Initiate and participate effectively in a range of collaborative discussions, building on others' ideas and expressing your own clearly and persuasively.
Products
Design and construct a light fixture that incorporates right triangle trigonometry principles. Develop detailed sketches and blueprints that highlight the trigonometric calculations used in your design. Create a presentation to showcase your design process, including the mathematical reasoning and aesthetic considerations.
Launch
Begin with a dynamic 'Trigonometry in Design' workshop where you explore various light fixtures and analyze how right triangle trigonometry is integral to their design. Engage in hands-on activities that allow you to experiment with angles and dimensions using basic materials to create small-scale models. Discuss how these principles can be applied to your own light fixture project, setting the stage for innovative and practical designs.
Exhibition
Host a "Light Up the Community" showcase where you present your completed light fixtures to community partners and peers. Arrange your fixtures in an interactive display, highlighting the trigonometric concepts used in your designs. Offer guided tours explaining your design process and the mathematical principles applied. Conclude with a feedback session where community members share their thoughts on the functionality and aesthetics of your creations.
Copied from
"Bright Ideas: Designing with Trigonometry"
