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  • Early Years Foundation Stage

Moving Squares

Age 14 to 16
Challenge Level Yellow starYellow star
  • Problem
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This problem is inspired by a picture created by the artist Bridget Riley entitled "Movement in Squares" (1961)

Take two pieces of squared paper and colour alternate squares, giving a checkerboard pattern.

checkerboard pattern
Now, curve your pieces round to create two cylinders, and stand them up together.
cylinders

When you look straight at the two cylinders, the squares appear as rectangles getting narrower and narrower as the page curves away from you:
closeup of cylinders

How could you represent this effect on a flat piece of paper?


The diagram below shows what you might see if you looked at the cylinder from above. The construction lines may help you to work out how to recreate the image of the cylinders in two dimensions.

bird's eye view
You could vary the effect of your final image by altering the size of the black and white squares.

We look forward to seeing your calculations and finished products!


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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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