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Creating a Polynomial Function to Fit a Table

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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.

7 Views 5 Downloads CCSS: Designed

Concepts

linear functions, non-linear functions, function tables, input/output tables, writing equations

Additional Tags

math

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

Common Core

View 38,632 other resources for 9th - 10th Grade Math