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#### Resources tagged with Periodicity similar to Loch Ness:

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### Loch Ness

##### Stage: 5 Challenge Level:

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

### Squareness

##### Stage: 5 Challenge Level:

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?

### Degree Ceremony

##### Stage: 5 Challenge Level:

What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?

### Shape and Territory

##### Stage: 5 Challenge Level:

If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle?

### Tens

##### Stage: 5 Challenge Level:

When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?