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.

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

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.

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

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

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. . . .

Use the tangram pieces to make our pictures, or to design some 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.

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

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

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

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?

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

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

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

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

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

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

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

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

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

Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?

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?

Surprise your friends with this magic square trick.

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.

Make a mobius band and investigate its properties.

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

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

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

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

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

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

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

Learn about Pen Up and Pen Down in Logo

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.

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

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

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

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.

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?

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.

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

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

Turn through bigger angles and draw stars with Logo.

What happens when a procedure calls itself?