Modeling with Quadratic Functions (part 2)

How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object, which results in the same equation as the projectile motion formula.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Create collaborative groups for the opener and ask for multiple responses from each group
  • Have learners create columns on their papers to keep track of the work involved in finding the quadratic model from three points
  • Use graphing calculators to validate results
Classroom Considerations
  • Class members must be proficient with solving systems of equations; reviewing the topic is necessary for most groups
Pros
  • Discovery is used to develop the lesson by analyzing different numbers of given points
  • Handouts, keys, and a detailed teacher guide are included
Cons
  • None