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Investigations & Extensions

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Drawing Mystic Roses Drawing Mystic Rose patterns. (using compasses, protractor, angles around a point)

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Mystic Roses Investigation  Finding the number of regions in a Mystic Rose diagram.

(n'th term formula)

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Latin Squares 

Follow in the steps of Euler with this rearrangement puzzle.

(logic and combinations)

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Estimating Pi  

Find an estimate for Pi using paperclips!

(relative frequency)

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Eulerian Graphs 

Investigate some graph theory with Eulerian graphs

(logic)

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Joining Dots 

Surely it must be possible!

(graph theory)

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Connecting Utilities

A well known problem from graph theory

(logic)

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Shading Shapes 

Colouring and counting combinations

(n'th term formula)

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Maximum Volume 

Making an open box with maximum volume

(optimisation problem)

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Number Square Corners 

Finding connections on a 10 x 10 grid

(n'th term formula, generalising, proof)

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Painting Cubes

An investigation leading to generalisations

(n'th term formula)

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Triple Sums 

An investigation leading to generalisations

(n'th term formula)

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Squares in Squares

Summing square numbers

(n'th term formula)

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Sieve of Eratosthenes 

Finding Prime Numbers using an ancient method

(Factors, Prime Numbers)

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Shaking Hands

Counting numbers of handshakes

(n'th term formula)

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Four fours 

How many numbers can you make using only four fours

(Order of operations)

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Unexpected Result?

Investigating a number trick

(Number Theory)

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