Baravelle
Why do this problem
The aim of using
this image is to encourage discussion about the different ways
of seeing and pose questions that can form the focus of further
investigation.
Possible approach
Look at the image for about a minute and then "hide it". Then share
ideas.
Follow up by selecting one or two of the ideas for the group to
explore further, for example:
- Recreating the image
- Finding what fraction of the whole the areas is shaded red,
blue and white.
Key questions
Can you continue the pattern inwards? Outwards?
Can you give a convincing argument for the fractions of the whole
that you can see?
Possible Extension
Consider summing infinite series.
What are the ratios of the lengths of the sides of the
triangles?
Possible support
Can you find the fractions and or recreate the shape by folding?
Some learners might like to try the problem
Inside Seven Squares.