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This Creating a Polynomial Function to Fit a Table activity also includes:
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Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations to arrive at their conclusions.
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CCSS:
Designed
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Instructional Ideas
- Initially, present the problem to individuals; create groups to discuss conclusions
- Challenge groups to write five functions that fit the data
Classroom Considerations
- Pupils should have prior experience creating functions from a table and be familiar with both linear and nonlinear functions
Pros
- Challenging task uses higher-order thinking skills
- Highlights key misconceptions
Cons
- None