Representing - May 2009, Stage 5

Representations play a key role in problem-solving. When confronted by a mathematical situation, we often need to represent it in some way (for example pictures, diagrams and symbols) to help us make sense of it and move on. We also use representations to analyse and share outcomes. Often we need to make sense of other people’s representations, such as their use of tables, diagrams or symbols.

Problems

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Into the Exponential Distribution

Stage: 5 Challenge Level: Challenge Level:1

Get into the exponential distribution through an exploration of its pdf.

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Shuffles

Stage: 5 Challenge Level: Challenge Level:1

An environment for exploring the properties of small groups.

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What's Your Mean?

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the means of these distributions using numerical methods?

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Time to Evolve 2

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

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

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Into the Normal Distribution

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

Investigate the normal distribution

Elsewhere...