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Guide and features
Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-4
Featured UK Key Stage 3-5; US Grades 5-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3 & 4
Featured UK Key Stages 3 & 4; US Grade 5-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
You may want to look at
before you try this problem.
Here are some pairs of shapes:
What overlap shape would you get if you overlapped them halfway across each other?
Here are some more pairs of shapes. What overlap shapes would you get this time?
Which of these overlap shapes did you find?
You may like to use this interactivity to experiment after you have tried to imagine what will happen in your head.
Full screen version
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Why do this problem?
, focuses on encouraging children to visualise - in this case to picture an image in their head. There are also valuable opportunities for them to apply their knowledge of properties of shape, and to use appropriate vocabulary.
Visualising can be a very useful way of getting into a problem, but it can also help at other stages of the problem-solving process. Providing opportunities like this for your class to practise visualising will help them to become familiar with its uses and to regard it as a legitimate skill to draw upon.
What are the two shapes you are thinking about?
Looking at the overlaps where the sides are diagonal, which shapes could they have come from?
Can you imagine gradually moving one shape across the other one?
Learners who need more of a challenge could try
Suggest trying this
of the problem.
Meet the team
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the
Millennium Mathematics Project