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Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Number Juggle

Age 7 to 11
Challenge Level

Why do this problem?

At the very simplest level this is an investigation involving estimation and trial and improvement. The greater depth comes from realising that changing any one corner number affects two others and that this means keeping two conditions in mind simultaneously.

Key questions

What would be good 'rough' numbers to start with?
When you make this one smaller what happens?

Possible extension

Children can make up their own for others to solve. They could explore the differences between using odd/even numbers in the corners.

Possible support

Making up questions like these can be a form of support. Start with smaller numbers so that the arithmetic does not get in the way of the thinking.