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Ordering Cards


Look at these cards.
 
 
 
Can you sort them so that they follow round in a loop?
 
 Here is a card from a different set.
 
 card
What number would follow it?
 
What about this one? What would follow it?

 card
 
You can download all the above set of cards here

Why do this problem?

This problem is designed to help children to learn, and to use, the two and three times tables.


Possible approach

You could print out this sheet and cut it into the twelve separate cards and give these to the group to work on in pairs, so that they are able to talk through their ideas with a partner.
 
The cards should form a loop so it does not matter which card is used to start. If you want to make the loop longer, or make your own loop, you could download these similar but blank cards.
 
If you lengthen the loop you will need to take out one card and replace it with your new ones. Avoid repeating a number which has been used already and multiplying and then immediately dividing by the same number.


Key questions

Which card did you start with?
How does your sequence of numbers go?
Look carefully at the loop here and check your answers.


Possible extension

Learners could make their own set of looping cards using these blank cards.


Possible support

Suggest working with another child who can do the calculations, consulting the two and three times tables or using a calculator.