This problem gives children the chance to explore properties of
shapes in a practical way and also encourages them to
visualise.
Possible approach
You may like to introduce
Cut and Make to the group before trying this problem. (It is a
similar idea but based on cutting up a square.)
It would be useful for learners to have access to lots of
hexagons which they can experiment with by cutting and rearranging
pieces. (Here is a Word
document of hexagons and here is a jpg file)
You could encourage children to visualise the rearrangements
before actually cutting up the hexagons. This could be organised by
asking them to talk in pairs about what they will do and then to
convince another pair that their cutting will work before they are
allowed to take scissors to paper.
Key questions
What does a parallelogram/rhombus/equilateral triangle look
like?
How could you cut the hexagon into two/three/four
pieces?