Make some celtic knot patterns using tiling techniques

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

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

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?

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.

What happens when a procedure calls itself?

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

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

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?

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

Follow these instructions to make a three-piece and/or seven-piece tangram.

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?

Learn about Pen Up and Pen Down in Logo

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

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

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

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

Turn through bigger angles and draw stars with Logo.

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. . . .

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

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

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

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

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

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

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.

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

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

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

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

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

How can you make a curve from straight strips of paper?

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

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

Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.

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

Make a mobius band and investigate its properties.

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

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

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

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?

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

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.

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

Surprise your friends with this magic square trick.