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Resources tagged with Making and testing hypotheses similar to The Why and How of Substitution:

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Broad Topics > Using, Applying and Reasoning about Mathematics > Making and testing hypotheses

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The Why and How of Substitution

Stage: 5

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

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Babylon Numbers

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Can you make a hypothesis to explain these ancient numbers?

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White Box

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

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Pattern Recognition

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

When does a pattern start to exhibit structure? Can you crack the code used by the computer?

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Ishango Bone

Stage: 2, 3, 4 and 5 Short Challenge Level: Challenge Level:1

Can you decode the mysterious markings on this ancient bone tool?

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On the Importance of Pedantry

Stage: 3, 4 and 5

A introduction to how patterns can be deceiving, and what is and is not a proof.

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Understanding Hypotheses

Stage: 3, 4 and 5

This article explores the process of making and testing hypotheses.

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Arithmagons

Stage: 4 Challenge Level: Challenge Level:1

Can you find the values at the vertices when you know the values on the edges?

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Black Box

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

This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?

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Charlie's Delightful Machine

Stage: 3 and 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?