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Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
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CCSS:
Adaptable
Concepts
Additional Tags
Instructional Ideas
- After developing the equation of a parabola from the definition, compare what is known about quadratic equations and the equation of parabola, both algebraically and graphically
- Extend the lesson to discuss the changes if the vertex was not at the origin; start with vertical or horizontal shifts before combining the two shifts
Classroom Considerations
- Only refers to parabolas with a vertex at the origin
Pros
- Provides a visual representation of what constitutes a conic section
Cons
- No answer key provided