Copyright © University of Cambridge. All rights reserved.
'Overlapping Again' printed from http://nrich.maths.org/
Why do this problem?
, as Overlaps
, 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 Quadrilaterals
Suggest trying this simpler version
of the problem.