![](https://wild.maths.org/sites/wild.maths.org/files/Circles1.png)
Here are some circles which are coins, counters, and rings. I used 10 coins, 19 counters, and 12 rings.
I wonder how many coins, counters, and rings I would need to make the next size up for each?
What is your idea of the 'next size up'?
My shapes are a triangle, a hexagon, and a rectangle.
What shapes could you make by putting circles together?
How many would you use?
How many would you need for the next size up?
![alternate](/sites/wild.maths.org/files/media/photos/section_photos/coinsCirclesRings_06x8YyB.jpg)
![](/sites/wild.maths.org/files/media/photos/section_photos/MoreCircleCircles%202016-04-22%2016-55-57.jpg)
Comments
What shapes could you make by putting circles together?
Are we assuming that the circles are packed in a hexagonal packing arrangement? Because if we are not, then we could make any shape we want with integral sides whose angles are between sixty and three-hundred degrees.
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answer
To make the triangle the next size I put the counters on top of each other to make it higher. I doubled the counters.
Then I made it longer. Each time I added on more counter to the bottom row. First I added 5, then 6, then 7 and then 8 .
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My answers
I added 5 coins to the bottom of the triangle to make it the next size up.
I added 6 counters to make the next size up on the Hexagon.
I added 8 rings to the rectangle to make it the next size up.
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