Learn about Pen Up and Pen Down in Logo

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

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

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

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

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.

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

Make some celtic knot patterns using tiling techniques

Make a mobius band and investigate its properties.

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

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

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

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

Surprise your friends with this magic square trick.

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

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

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

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.

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?

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?

What happens when a procedure calls itself?

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

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. . . .

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

Turn through bigger angles and draw stars with Logo.

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

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

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

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

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.

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

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

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

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

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

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

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

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

Here are some ideas to try in the classroom for using counters to investigate number patterns.

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

Follow these instructions to make a five-pointed snowflake from a square of paper.

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?

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

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

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.

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