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Prompt Cards

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

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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.

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Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Two Number Lines

Stage: 2 Challenge Level: Challenge Level:1

We had particularly good solutions from Callum at St Patrick's School, Boyang from Mountfields Lodge and Caroline from St Jude's C of E School. Caroline wrote:

Max's secret jump was 3, 10-7=3
Mandy's secret jump was 3, 6-3=3
On the grid, Max had moved 9 along and Mandy had moved 3 up.

She goes on to say:

If Max and Mandy both move the same distance along and up, the counter could be at:
0 along and 0 up
1 along and 1 up
2 along and 2 up
3 along and 3 up
4 along and 4 up
5 along and 5 up
6 along and 6 up
7 along and 7 up
8 along and 8 up
9 along and 9 up
10 along and 10 up
This line is a diagonal line.

That's right! Boyang and Callum gave the coordinates of the points. Callum said:

(0,0) or (1,1) or (2,2) or (3,3) or (4,4) or (5,5) or (6,6) or (7,7) or (8,8) or (9,9) and could go on forever.