Randomness - June 2008, All Stages

Problems

Sorting Shapes

Stage: 1 Challenge Level:

This activity challenges you to make collections of shapes. Can you give your collection a name?

Shut the Box

Stage: 1 Challenge Level:

An old game but lots of arithmetic!

Sorting Numbers

Stage: 1 Challenge Level:

Use the interactivity to sort these numbers into sets. Can you give each set a name?

Birds in the Garden

Stage: 1 and 2 Challenge Level:

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

Three Spinners

Stage: 2 Challenge Level:

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?

How Random!

Stage: 2 Challenge Level:

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Misunderstanding Randomness

Stage: 3 Challenge Level:

Which of these ideas about randomness are actually correct?

Can't Find a Coin?

Stage: 3 Challenge Level:

Can you generate a set of random results? Can you fool the random simulator?

Which Spinners?

Stage: 4 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

Distribution Differences

Stage: 4 Challenge Level:

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

Introducing Distributions

Stage: 4 Challenge Level:

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

Coin Lines

Stage: 4 Challenge Level:

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

The Monte Carlo Method

Stage: 5 Challenge Level:

Estimate areas using random grids

Data Matching

Stage: 5 Challenge Level:

Use your skill and judgement to match the sets of random data.

Random Squares

Stage: 5 Challenge Level:

What is a random pattern?

Scale Invariance

Stage: 5 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

Random Inequalities

Stage: 5 Challenge Level:

Can you build a distribution with the maximum theoretical spread?