Can you describe what happens in this film?
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
A game to make and play based on the number line.
How can you make an angle of 60 degrees by folding a sheet of paper
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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. . . .
Make some celtic knot patterns using tiling techniques
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.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
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?
Follow these instructions to make a three-piece and/or seven-piece
This article for students gives some instructions about how to make some different braids.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Use the tangram pieces to make our pictures, or to design some of
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
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 a mobius band and investigate its properties.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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.
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
Surprise your friends with this magic square trick.
Follow these instructions to make a five-pointed snowflake from a
square of paper.
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?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
More Logo for beginners. Now learn more about the REPEAT command.
Turn through bigger angles and draw stars with Logo.
Learn to write procedures and build them into Logo programs. Learn to use variables.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
How can you make a curve from straight strips of paper?
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?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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.
How is it possible to predict the card?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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 spiral mobile.
What happens when a procedure calls itself?
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
A description of how to make the five Platonic solids out of paper.
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
A brief video looking at how you can sometimes use symmetry to
distinguish knots. Can you use this idea to investigate the
differences between the granny knot and the reef knot?