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This activity will be very useful when wishing to challenge and extend pupils' spatial awareness with 2D shapes. It can also be an exercise in perseverence.
The problem Happy Halving might be suitable to start with, before tackling the shapes in this problem. There are detailed suggestions of an approach in the teachers' notes of Happy Halving.
Are you able to show me that your two halves are the same shape and size?
Are there other ways of halving this shape?
Some learners will enjoy inventing some shapes of a similar nature. Make sure they test their own shapes to check they work!
Ideally, pupils could work in pairs so they can share ideas with each other.