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Resources tagged with Rotations similar to 2010: A Year of Investigations:

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Broad Topics > Transformations and their Properties > Rotations

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2010: A Year of Investigations

Stage: 1, 2 and 3

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

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Hexpentas

Stage: 1 and 2 Challenge Level: Challenge Level:1

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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Coordinate Challenge

Stage: 2 Challenge Level: Challenge Level:1

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

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Star Find

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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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Making Maths: Indian Window Screen

Stage: 2 Challenge Level: Challenge Level:1

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

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Transformation Tease

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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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Clock Hands

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Coordinating Classroom Coordinates

Stage: 2

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

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Turning Man

Stage: 1 Challenge Level: Challenge Level:1

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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Posting Triangles

Stage: 1 Challenge Level: Challenge Level:1

If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?

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Peg Rotation

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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National Flags

Stage: 2 Challenge Level: Challenge Level:1

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

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Flip

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Sorting Symmetries

Stage: 2 Challenge Level: Challenge Level:1

Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.

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Penta Play

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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. Play with card, or on the computer.

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Rearrange the Square

Stage: 1 Challenge Level: Challenge Level:1

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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Transforming the Letters

Stage: 2 Challenge Level: Challenge Level:1

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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L-ateral Thinking

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

Try this interactive strategy game for 2

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Turning Granny

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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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Same Shapes

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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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Poly Plug Pattern

Stage: 1 Challenge Level: Challenge Level:1

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

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Tiles in a Public Building

Stage: 2 Challenge Level: Challenge Level:1

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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Animated Triangles

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Watch Those Wheels

Stage: 1 Challenge Level: Challenge Level:1

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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Shaping up with Tessellations

Stage: 2 and 3

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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Overlaid

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

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Lafayette

Stage: 2 Challenge Level: Challenge Level:1

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

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Shape Mapping

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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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Plex

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Plex lets you specify a mapping between points and their images. Then you can draw and see the transformed image.