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Resources tagged with Practical Activity similar to Castles in the Middle:

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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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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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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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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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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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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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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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Which Solids Can We Make?

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

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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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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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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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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Nine Colours

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

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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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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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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Cuboid-in-a-box

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

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

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Tower of Hanoi

Stage: 3 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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Muggles, Logo and Gradients

Stage: 3, 4 and 5

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

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Next Size Up

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

The challenge for you is to make a string of six (or more!) graded cubes.

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It's a Fence!

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

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

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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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Factors and Multiples Puzzle

Stage: 3 Challenge Level: Challenge Level:1

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

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Triangles to Tetrahedra

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

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

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Double Your Popcorn, Double Your Pleasure

Stage: 2 Challenge Level: Challenge Level:1

We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.

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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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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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Making Maths: A-maze-ing

Stage: 2 Challenge Level: Challenge Level:1

Did you know mazes tell stories? Find out more about mazes and make one of your own.

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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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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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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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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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Factors and Multiples Game

Stage: 2, 3 and 4 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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First Forward Into Logo 5: Pen Up, Pen Down

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

Learn about Pen Up and Pen Down in Logo

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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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First Forward Into Logo 4: Circles

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

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

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Triangle Relations

Stage: 2 Challenge Level: Challenge Level:1

What do these two triangles have in common? How are they related?

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First Forward Into Logo 6: Variables and Procedures

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

Learn to write procedures and build them into Logo programs. Learn to use variables.

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Cereal Packets

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

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

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Construct-o-straws

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

Make a cube out of straws and have a go at this practical challenge.

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First Forward Into Logo 3: Repeat REPEAT

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

More Logo for beginners. Now learn more about the REPEAT command.

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Folding, Cutting and Punching

Stage: 2 Challenge Level: Challenge Level:1

Exploring and predicting folding, cutting and punching holes and making spirals.

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First Forward Into Logo 9: Stars

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

Turn through bigger angles and draw stars with Logo.

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First Forward Into Logo 11: Sequences

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

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

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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?

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Making Maths: Birds from an Egg

Stage: 2 Challenge Level: Challenge Level:1

Can you make the birds from the egg tangram?

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Making Tangrams

Stage: 2 Challenge Level: Challenge Level:1

Here's a simple way to make a Tangram without any measuring or ruling lines.

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Seven Flipped

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

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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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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Advent Calendar 2006

Stage: 2 Challenge Level: Challenge Level:1

NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.

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Sticks and Triangles

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

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

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It's a Tie

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

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?