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This challenge is best done in a group of at least four children.
You'll need to print out this sheet or, if you would like much larger cards, these sheets. The sheets will need to be cut into twelve separate cards.
Share all the cards out amongst the group.
Can you each work out what shape or shapes you have part of on your card?
Can you describe the shapes without showing it to anyone else?
What will the rest of the shape or shapes look like do you think?
How could you sort the cards?
We would love to hear your descriptions and hear about the ways you sorted or arranged the cards.
This problem is also available in French, called Casse-tête de formes.
The intention of this problem is that children will work together as a team. It should help in developing mathematical language about shape and position, as well as encouraging learners to listen carefully to others and tweak their own ideas accordingly.
You may like to read our Let's Get Flexible with Geometry article to find out more about developing learners' mathematical flexibility through geometry.
Learners who think this activity is trivial have not solved the problem! How can the cards be organised, arranged or ordered? Encourage them to help other members of the team in a cooperative spirit. They can also be challenged to make their own Jig-shape puzzle using all the geometric shapes they can.
It may be appropriate for some children to share cards with someone who is more confident with language about shape than they are themselves.
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?