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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Advanced Algebra > Modulus function

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Squareness

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

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Loch Ness

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Draw graphs of the sine and modulus functions and explain the humps.

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Slide

Stage: 5 Challenge Level: Challenge Level:1

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

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Complex Countdown

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Play a more cerebral countdown using complex numbers.

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The Chinese Remainder Theorem

Stage: 4 and 5

In this article we shall consider how to solve problems such as "Find all integers that leave a remainder of 1 when divided by 2, 3, and 5."