Poly plug pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
Problem
Can you create a pattern on a 5 by 5 board like the one below?
You could print off this board and use counters to create a pattern.
How could you continue the pattern on a large 25 by 25 board like this one?
You could print off this sheet to try out your ideas.
We would love to see pictures of your 5 by 5 pattern and your extended pattern. We would also be keen to hear how you went about extending it.
Getting Started
You could use counters on this 5 by 5 grid to create your pattern, or simply colour the spots.
You could print off this 25 by 25 grid to colour to create your extended pattern.
Could you extend your pattern in a different way?
Student Solutions
Lewis from North Molton Primary School wrote to say:
I made a pattern $5 \times 5$ and then repeated it across the board.
Thank you for telling us about it, Lewis. It's a shame you didn't send us a picture of your pattern.
Heather from Cottenham Primary School has sent in a picture of her pattern, with a description:
I drew the dots around the edge of the grid in blue, and then I did the middle one in blue.
Then I copied that pattern around the edge of the other grid, and then I did the same pattern in the very middle bit.
Well done Heather!
We would love to see any more patterns that you've created - please send them in.
Teachers' Resources
This activity has been inspired by Doug Williams' Poly Plug resource. You can find out more details, including how to order sets of Poly Plug, on the Mathematics Centre website. However, you do not need sets of Poly Plug to have a go at this activity.
Why do this problem?
Possible approach
Key questions
How could you describe your pattern?
Tell me about what you're doing.
Possible extension
Challenge children to extend their pattern in a different way using the same starting pattern.
Possible support
When using the 25 by 25 grid sheets, some children might find it helpful to have a "window" made out of paper or card which isolates a 5 by 5 section of the grid (like the white box on the image in the problem).