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Age 7 to 11
Challenge Level
In this challenge, we will be making 'bundles' of cubes.
We are going to start by making bundles of four cubes.
In the animation below, we start with one bundle and add an extra cube on its own, making five cubes altogether.
See what happens as we have more bundles and still keep just one extra cube:
We are going to start by making bundles of four cubes.
In the animation below, we start with one bundle and add an extra cube on its own, making five cubes altogether.
See what happens as we have more bundles and still keep just one extra cube:
What do you notice?
Can you explain your noticings?
We could then look at using a bundle of a different size. In the pictures below we see the same idea with bundles of six cubes and eight cubes:
The images above stop at 'four lots' but you could try going much further, maybe up to sixteen lots.
What happens when the bundles are of five, seven or nine cubes?
When you've done some exploring and got some results, then compare your results for the different sizes of bundles.
What do you notice?
Can you explain any of your noticings?
Can you explain your noticings?
We could then look at using a bundle of a different size. In the pictures below we see the same idea with bundles of six cubes and eight cubes:
The images above stop at 'four lots' but you could try going much further, maybe up to sixteen lots.
What happens when the bundles are of five, seven or nine cubes?
When you've done some exploring and got some results, then compare your results for the different sizes of bundles.
What do you notice?
Can you explain any of your noticings?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.