Conics and Reflection
This material is replicated on a number of sites as part of the SERC Pedagogic Service Project
In this activity, students will investigate the reflective properties of the parabola, the ellipse, and the hyperbola. They will look at applications that relate to both the collection of incoming signals and signals that are emitted from a source and reflected by the conic. They will first make discoveries utilizing interactive animations and then will complete a worksheet where they will write down these observations.
2. Figure out the use of the reflective properties in the context of lighting devices, receptors, and other technologies.
3. Understand that the conics sections are more than just a set of equations or geometric axioms.
Context for Use
Description and Teaching Materials
The best situation would be for the students to work in a computer lab environment where they explore the properties. Otherwise, the instructor can present the applets using an Internet enabled computer with a projector. During the exploration period the instructor can facilitate discussion that will lead the students towards more thoughtful answers to the worksheet questions.
After exploring with the applets, the students are given the worksheet. Students can either work on their own or in pairs or groups.
Teaching Notes and Tips
References and Resources
This site contains 9 JAVA applets that allow the student to interactively discover the reflective and other geometric properties of conic sections.