Ellipse Elements and Equations

Challenge your class to provide an ellipse when given two points and two lines. The lesson presents both graphical and analytical methods to writing the equation of an ellipse. The class investigates its components, how they relate to the equation, and then use the foci and directrices to create the equation of ellipses. 

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Go over the definition of an ellipse and graphically show the relationships
  • Develop a graphic organizer to identify and define the elements of an ellipse
Classroom Considerations
  • Individuals should know how to write the equation of a circle given the center and radius
Pros
  • Provides answer keys for each handout
  • Contains timing suggestions for each aspect of the lesson
Cons
  • None
Common Core