Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the function. The project offers an excellent approach to reviewing features of polynomial functions and their behaviors. 

Concepts

polynomial functions, domain, range, behavior, transformations

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Additional Tags

math

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Instructional Ideas

• Use as a final project or assessment on graphing polynomial functions
• Have small groups take turns with each others' ID numbers
• Use other distinctive numbers, such as birthdays, as extension activities

Classroom Considerations

• Grading projects may be time consuming, as each will be different

Pros

• Thorough review of the concepts related to graphing polynomial functions
• Appealing to learners of all levels, whether they are in AP or mainstream calculus
• Comes with a document version for editing

Cons

• None

Common Core

HSF-IF.B.4 HSF-IF.B.5 HSF-IF.C.7.a