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Exploring maths using keliodoscopes to explore geometry.
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Maths: From a Different Angle
GGSG
Years 8-9
We made our own Kaleidoscopeswith interchangeable ends
we constructed kaleidoscopes with 3-4 and even 5 mirrors insidethis enabled us to experiment with different shapes and patterns
design and rotation experimentsinside triangles, squares and pentagons
the end section of the kaleidoscope twists around, so designs can be rotated through axis of symmetry created by the edges of the mirrors. The ends are
also made so the different designs can be inserted into the kaleidoscope
the guessing game
Each student started with a simple design, may be a line or two lines, then onto more complex shapes, stars or a cross and tried to predict the result
when viewed in the kaleidoscope. The outcomes were also recorded
We went onto to study Indian folk designsa traditional art form passed on through generations, called Rangoli
The geometry we had explored, which included shape construction and their relationships within circles enabled us to see how these patterns are constructed. We
decided pavement drawing with our own geometric patterns was our next move
individual design workand some committed to extra homework, with impressive results
permissions granted to decorate the car park and outside through routes across the school! Instead of compass and ruler we have string, wooden battens for straight edges and........ umbrellas
Patterns were started all over the Schoolumbrellas were handy as it did rain a little
We literally did take maths out of the classroom
Vehicles drove over our pastels and crushed them but the results were still impressive
Students showed pride in their work and really wanted to finish, even though supplies of pastels were running low. This was cleverly resolved by using the
colour of the ground as an integral colour within the design
Some students worked individually, others teamed up together. Others managed a couple of designs in the allotted time
Many were very colourful patterns, others contained symbols, motifs and even stories within the design. Titles became important and a way in for viewers to understand
My favourite quote from the days activities:
A student from another class walked past and looked hard at what we had done and said, ‘how come you get to do fun maths?’