Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.

Concepts

graphing quadratics, quadratic equations, quadratic functions, quadratic applications, circles, chords

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Additional Tags

math

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Instructional Ideas

• Have the class research other relationships that are quadratic in nature
• Let groups discover the relationship between quadratic relationships and the second differences

Classroom Considerations

• Class members should be familiar with quadratic equations and functions

Pros

• Provides suggestions for differentiation
• Includes answers to questions used during instruction

Cons

• None

Common Core

HSA-CED.A.2 HSF-BF.A.1.a HSS-ID.B.6.a MP4 MP5