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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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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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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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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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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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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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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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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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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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Making Maths: Archimedes' Spiral

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

Make a spiral mobile.

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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: 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: Triangular Ball

Stage: 2 Challenge Level: Challenge Level:1

Make a ball from triangles!

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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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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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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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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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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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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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Fractional Triangles

Stage: 2 Challenge Level: Challenge Level:1

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

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A Patchwork Piece

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

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

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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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Hoops/rope

Stage: 2 Challenge Level: Challenge Level:1

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

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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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Two by One

Stage: 2 Challenge Level: Challenge Level:1

An activity making various patterns with 2 x 1 rectangular tiles.

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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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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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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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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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World of Tan 4 - Monday Morning

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

Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?

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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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Making Cuboids

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

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

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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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Shaping Up

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

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

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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?

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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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Masterclasses Information

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

If you'd like to know more about Primary Maths Masterclasses, this is the package to read! Find out about current groups in your region or how to set up your own.

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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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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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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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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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Jomista Mat

Stage: 2 Challenge Level: Challenge Level:1

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

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Triangle Shapes

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

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

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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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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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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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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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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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Cutting Corners

Stage: 2 Challenge Level: Challenge Level:1

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?