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This activity is taken from Maths Buzz, collaborative reasoning challenges devised by NRICH and published by BEAM. Maths Buzz is out of print but can still be found on Amazon.
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?
Three or four brains are usually better than one! Working on a problem in a group rather than on your own is often a good idea. These activities will help you get better at group work.