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'Data Shapes' printed from http://nrich.maths.org/
Why do this problem?
uses simple shapes in three colours for sorting data in more than one way. Teachers and children may well think of other useful purposes for the cards.
If the shapes are printed onto thin card and laminated they should last a long time.
You could start by showing all the cards to the children and asking what they can tell you about them. This will be a good opportunity to listen to their use of mathematical vocabulary and introduce new terms where appropriate.
This problem is intended for children working in pairs, so that they are able to talk through their ideas with a partner. You could continue by giving each pair copies of these cards so that they can sort them in their own ways.
After they have had an opportunity to try sorting and to discuss with their partners how it could be done, it might be a good time to use, or introduce, a simple Venn diagram. This one shows how the question asked in the first part of the problem could be answered:
At the end of the lesson you could try different ways of sorting suggested by the children, using a Venn diagram if you think it appropriate.
What can you see?
Can you think of another way you could sort the cards?
What is the same/different about these?
Tell me about what you are collecting.
Why do you think those two go together?
Where could you put this/these?
Learners could try one of the harder sorting problems, for example, Butterfly Cards.
Some children may need a suggestion from you as to how to sort the cards to get them started.