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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Watch Those Wheels

Age 5 to 7
Challenge Level Yellow star

Cars are all around us, on the roads, in the streets, at the shops and of course in the staff car park.
But look carefully at these two photographs of wheel trims:

first wheel trim
second wheel trim

What is similar about the images? What is different?
Now, with your teacher, go out and about in the staff car park.
Sketch or photograph wheel trims. See how many different patterns you can find.
How do the wheel trims differ?
How many are the same?
How many are similar?
How many are different?
What is the most complicated arrangement?
Which is the simplest?

You could also explore:
Symmetry patterns
Frieze patterns (when looking at tyre treads)
Most frequently occurring patterns

You may also like

Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Rectangles with Dominoes

Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?

Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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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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