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

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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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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: 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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Order the Changes

Stage: 2 Challenge Level: Challenge Level:1

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

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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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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: 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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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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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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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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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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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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Making Maths: Archimedes' Spiral

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

Make a spiral mobile.

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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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Car Journey

Stage: 2 Challenge Level: Challenge Level:1

This practical activity involves measuring length/distance.

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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: 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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First Forward Into Logo 12: Puzzling Sums

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

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

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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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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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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 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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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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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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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 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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First Forward Into Logo 8: More about Variables

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

Write a Logo program, putting in variables, and see the effect when you change the variables.

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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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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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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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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?

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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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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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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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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?

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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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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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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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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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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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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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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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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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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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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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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!