Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a polynomial that has a value of one for the first input and two for another input. Finally, pupils write a polynomial that has outputs of one, two, and three for three distinct inputs.

Concepts

function notation, polynomial expressions, polynomial functions, polynomials

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Additional Tags

math

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Instructional Ideas

• Have learners use specific numbers first and then use more general numbers as variables in their polynomials
• Create a list of different polynomials that satisfy the given conditions

Classroom Considerations

• Assumes the class is familiar with function notation and polynomial functions

Pros

• Provides an answer key with possible solutions
• Includes the level of mathematical actions highlighted by the task

Cons

• None

Common Core

HSA-APR.A.1 HSF-IF.A.2 MP1 MP7