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Resources tagged with Reflections similar to Weekly Problem 33 - 2013:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Transformations and their Properties > Reflections

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Building with Longer Rods

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

A challenging activity focusing on finding all possible ways of stacking rods.

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Transformation Game

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

Why not challenge a friend to play this transformation game?

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Mirror, Mirror

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

Can you place the blocks so that you see the relection in the picture?

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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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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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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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Shady Symmetry

Stage: 3 Challenge Level: Challenge Level:1

How many different symmetrical shapes can you make by shading triangles or squares?

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Hidden Meaning

Stage: 2 Challenge Level: Challenge Level:1

What is the missing symbol? Can you decode this in a similar way?

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Reflecting Squarely

Stage: 3 Challenge Level: Challenge Level:1

In how many ways can you fit all three pieces together to make shapes with line symmetry?

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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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National Flags

Stage: 2 Challenge Level: Challenge Level:1

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

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Building with Rods

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

In how many ways can you stack these rods, following the rules?

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What Am I?

Stage: 2 Challenge Level: Challenge Level:1

Can you draw the shape that is being described by these cards?

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So It's Times!

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

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

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It's Times Again

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

Numbers arranged in a square but some exceptional spatial awareness probably needed.

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...on the Wall

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

Explore the effect of reflecting in two intersecting mirror lines.

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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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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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Clocks

Stage: 2 Challenge Level: Challenge Level:1

These clocks have been reflected in a mirror. What times do they say?

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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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Matching Frieze Patterns

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

Sort the frieze patterns into seven pairs according to the way in which the motif is repeated.

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Friezes

Stage: 3

Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

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Decoding Transformations

Stage: 3 Challenge Level: Challenge Level:1

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

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Mirror, Mirror...

Stage: 3 Challenge Level: Challenge Level:1

Explore the effect of reflecting in two parallel mirror lines.

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Simplifying Transformations

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

How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?

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Combining Transformations

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

Does changing the order of transformations always/sometimes/never produce the same transformation?

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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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Times

Stage: 2 Challenge Level: Challenge Level:1

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

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Surprising Transformations

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

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

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Frieze Patterns in Cast Iron

Stage: 3 and 4

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

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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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The Frieze Tree

Stage: 3 and 4

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

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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.

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Reflecting Lines

Stage: 3 Challenge Level: Challenge Level:1

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

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Paint Rollers for Frieze Patterns.

Stage: 3 and 4

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

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Can You Explain Why?

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

Can you explain why it is impossible to construct this triangle?

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Let Us Reflect

Stage: 2 Challenge Level: Challenge Level:1

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?