There are **24** NRICH Mathematical resources connected to **Rotations**, you may find related items under Transformations and constructions.

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This problem explores the shapes and symmetries in some national flags.

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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

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Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

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Use the clues about the symmetrical properties of these letters to place them on the grid.

This article for teachers suggests ideas for activities built around 10 and 2010.

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How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

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What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

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Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

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A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?

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Can you picture where this letter "F" will be on the grid if you flip it in these different ways?

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What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?

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We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

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Can you work out what kind of rotation produced this pattern of pegs in our pegboard?

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Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?

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Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!

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What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

This article describes a practical approach to enhance the teaching and learning of coordinates.

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your. . . .

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What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?

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A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

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What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

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How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?

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Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?

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This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.