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Resources tagged with Visualising similar to Poly Plug Pattern:

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Broad Topics > Using, Applying and Reasoning about Mathematics > Visualising

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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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Cover the Camel

Stage: 1 Challenge Level: Challenge Level:1

Can you cover the camel with these pieces?

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Triple Cubes

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

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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Hundred Square

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

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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Circles, Circles

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

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

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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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Skeleton Shapes

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

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

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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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Shadow Play

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

Here are shadows of some 3D shapes. What shapes could have made them?

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Paper Patchwork 2

Stage: 1 Challenge Level: Challenge Level:1

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

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Tangram Tangle

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

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

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Start Cube Drilling

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

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

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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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Paper Patchwork 1

Stage: 1 Challenge Level: Challenge Level:1

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

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Overlaps

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

What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.

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Cubes Cut Into Four Pieces

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

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?

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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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A City of Towers

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

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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Paper Partners

Stage: 1 Challenge Level: Challenge Level:1

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

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Horizontal Vertical

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

Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?

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How Would We Count?

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

An activity centred around observations of dots and how we visualise number arrangement patterns.

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Alquerque II

Stage: 1 Challenge Level: Challenge Level:1

A variant on the game Alquerque

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How Many Pieces?

Stage: 1 Challenge Level: Challenge Level:1

How many loops of string have been used to make these patterns?

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How Many Pieces This Time?

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

How many pieces of string have been used in these patterns? Can you describe how you know?

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Change Around

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

Move just three of the circles so that the triangle faces in the opposite direction.

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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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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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Stringy Quads

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

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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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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Building with Cubes

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

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

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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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Tessellating Capitals

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

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.

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Ten Hidden Squares

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

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

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Fred the Class Robot

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

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

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Dragons and Swans

Stage: 1 Challenge Level: Challenge Level:1

A game for two players. You'll need some counters.

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World of Tan 13 - A Storm in a Tea Cup

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

Can you fit the tangram pieces into the outline of these convex shapes?

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World of Tan 6 - Junk

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

Can you fit the tangram pieces into the outline of this junk?

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World of Tan 7 - Gat Marn

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

Can you fit the tangram pieces into the outline of this plaque design?

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World of Tan 5 - Rocket

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

Can you fit the tangram pieces into the outline of the rocket?

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World of Tan 15 - Millennia

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

Can you fit the tangram pieces into the outlines of the workmen?

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Twice as Big?

Stage: 2 Challenge Level: Challenge Level:1

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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Right or Left?

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

Which of these dice are right-handed and which are left-handed?

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World of Tan 17 - Weather

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

Can you fit the tangram pieces into the outlines of the watering can and man in a boat?

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Tricky Triangles

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

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

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Hexagon Transformations

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

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

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Endless Noughts and Crosses

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

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

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Cut Nets

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

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

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A Chain of Eight Polyhedra

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

Can you arrange the shapes in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it?

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World of Tan 18 - Soup

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

Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?

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World of Tan 16 - Time Flies

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

Can you fit the tangram pieces into the outlines of the candle and sundial?