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This game, for two players, is based on the popular game 'Guess Who?'.
Each player needs:
The aim of the game is to guess which shape your partner has chosen before they guess the shape you have chosen.
How to play:
Try playing the game lots of times.
What questions are the 'best' to ask in order to find out your opponent's shape before they guess yours? Why are they good questions?
We would love to hear about the questions that work well for you!
Not only will this game give learners meaningful practice in using geometrical vocabulary and help familiarise them with characteristics of 3D shapes, but it will also encourage them to think flexibly and adapt their approach when they get stuck.
You can read more about developing mathematical flexibility through geometry in this article.
You could introduce the class to the main idea of this game by playing an adapted version against them. Display this sheet on the board so that all the shapes are visible without the need to scroll. Explain to the group that you are choosing one of these shapes, and mark it on a printed copy of the sheet. Turn over the sheet so that it is not visible. Explain that the group must find out which shape you have chosen by asking questions which you can only answer with yes or no. You could invite learners to talk in pairs about what they would ask first, and then ask one pair to pose their question. When you have answered it, suggest the pair come up to the board and cross out all the shapes that cannot be yours. Continue in this way until the class has identified your shape.
You can now set them off in pairs playing the game using a set of the cards and a copy of the printable sheet each. (If both the cards and the sheets are laminated they could be reused.) Allow time for them to get a good feel for the game before drawing the whole group together again and suggesting that now they play in fours - one pair against another. Ask them to be thinking about 'good' questions to ask which help them narrow down the possibilities quickly. Playing in pairs offers the opportunity to discuss this strategic element with someone else before having to commit to asking a particular question.
The final plenary can focus on sharing some of the 'best' questions and, in particular, helping learners articulate their reasoning for choosing each question. It can be useful to share instances when learners identified pointless questions too and the reasons why those question did not reveal extra information.
What is the same about some of these shapes?
What is different about them?
How could these similiarities and differences help us come up with a question?
You could challenge children to find out the smallest number of questions that will identify a single shape. The number of questions may well depend on the shape that is chosen...
These cards depict fewer shapes and might be useful for some children. Here is the associated single sheet to print. All learners will benefit from real examples of these solid shapes to handle at various points throughout the lesson, should they wish.
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
Can you select the missing digit(s) to find the largest multiple?
Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?