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Resources tagged with Practical Activity similar to Weekly Problem 20 - 2010:

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

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Broad Topics > Using, Applying and Reasoning about Mathematics > Practical Activity

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Paper Folding - Models of the Platonic Solids

Stage: 2, 3 and 4

A description of how to make the five Platonic solids out of paper.

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Nine Colours

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

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.

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Make Your Own Pencil Case

Stage: 3 Challenge Level: Challenge Level:1

What shape would fit your pens and pencils best? How can you make it?

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Celtic Knotwork Patterns

Stage: 2 and 3

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

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Witch's Hat

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

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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Flip Your Mat!

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

What shape and size of drinks mat is best for flipping and catching?

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Triangles to Tetrahedra

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

Starting with four different triangles, imagine you have an unlimited number of each type. How many different tetrahedra can you make? Convince us you have found them all.

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Conway's Chequerboard Army

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

Here is a solitaire type environment for you to experiment with. Which targets can you reach?

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Rolling Triangle

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

The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.

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Sea Defences

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

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

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You Owe Me Five Farthings, Say the Bells of St Martin's

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

Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?

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Getting an Angle

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

How can you make an angle of 60 degrees by folding a sheet of paper twice?

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Gym Bag

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

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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Cool as Ice

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

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

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Constructing Triangles

Stage: 3 Challenge Level: Challenge Level:1

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

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Straw Scaffold

Stage: 3 Challenge Level: Challenge Level:1

Build a scaffold out of drinking-straws to support a cup of water

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Plaiting and Braiding

Stage: 2 and 3

This article for students gives some instructions about how to make some different braids.

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When Will You Pay Me? Say the Bells of Old Bailey

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

Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?

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Making Maths: String and Circles

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

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

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Tangram Pictures

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

Use the tangram pieces to make our pictures, or to design some of your own!

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Sociable Cards

Stage: 3 Challenge Level: Challenge Level:1

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

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Which Solids Can We Make?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

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Attractive Rotations

Stage: 3 Challenge Level: Challenge Level:1

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

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Making Rectangles, Making Squares

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

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

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Marbles

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

I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?

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Enigma

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

This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.

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Making Maths: Equilateral Triangle Folding

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

Make an equilateral triangle by folding paper and use it to make patterns of your own.

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Well Balanced

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.

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More Marbles

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

I start with a red, a blue, a green and a yellow marble. I can trade any of my marbles for three others, one of each colour. Can I end up with exactly two marbles of each colour?

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Factors and Multiples Game

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

A game in which players take it in turns to choose a number. Can you block your opponent?

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Cunning Card Trick

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

Delight your friends with this cunning trick! Can you explain how it works?

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Fractions Jigsaw

Stage: 3 Challenge Level: Challenge Level:1

A jigsaw where pieces only go together if the fractions are equivalent.

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Making Maths: Archimedes' Spiral

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

Make a spiral mobile.

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Making Maths: Clinometer

Stage: 3 Challenge Level: Challenge Level:1

Make a clinometer and use it to help you estimate the heights of tall objects.

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Making Maths: Make a Pendulum

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

Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

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Making Maths: Walking Through a Playing Card?

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

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

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Back to the Practical?

Stage: 2 and 3

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

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Making Maths: Celtic Knot Tiles

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

Make some celtic knot patterns using tiling techniques

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Making Maths: Snake Pits

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

A game to make and play based on the number line.

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Making Maths: Double-sided Magic Square

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

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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Plaited Origami Polyhedra

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

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

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Tower of Hanoi

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

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Drawing Celtic Knots

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

Here is a chance to create some Celtic knots and explore the mathematics behind them.

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Observing the Sun and the Moon

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

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

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Turning the Place Over

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?

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First Forward Into Logo 7: Angles of Polygons

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

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Amazing Card Trick

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

How is it possible to predict the card?

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The Best Card Trick?

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

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

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First Forward Into Logo 10: Count up - Count Down

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

What happens when a procedure calls itself?

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Factors and Multiples Puzzle

Stage: 3 Challenge Level: Challenge Level:1

A challenge that requires you to apply your knowledge of the properties of numbers. Can you fill all the squares on the board?