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'Ordering Cards' printed from http://nrich.maths.org/
Why do this problem?
is designed to help children to learn, and to use, the two and three times tables.
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.
Which card did you start with?
How does your sequence of numbers go?
Look carefully at the loop here and check your answers.
Learners could make their own set of looping cards using these blank cards
Suggest working with another child who can do the calculations, consulting the two and three times tables or using a calculator.