The Line and the Ellipse

This The Line and the Ellipse assessment also includes:

What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including both an ellipse and line, that have either two or no points in common.

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CCSS: Adaptable
Additional Tags
Instructional Ideas
  • Repeat the task with the equation of a hyperbola and a line
  • Use graphing calculators or similar online technology to check solutions graphically
Classroom Considerations
  • Expects a solid understanding of graphing ellipses
Pros
  • Presents an open-ended question with multiple solution methods
  • Provides the resources in an editable format
Cons
  • None
Common Core