Interior angles can help us to work out which polygons will
tessellate. Can we use similar ideas to predict which polygons
combine to create semi-regular solids?
Make a clinometer and use it to help you estimate the heights of
Make a spiral mobile.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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. . . .
This article for students gives some instructions about how to make some different braids.
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
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.
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.
Turn through bigger angles and draw stars with 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.
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?
Use the tangram pieces to make our pictures, or to design some of
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
A game to make and play based on the number line.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
What happens when a procedure calls itself?
Write a Logo program, putting in variables, and see the effect when you change the variables.
More Logo for beginners. Now learn more about the REPEAT command.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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?
Learn about Pen Up and Pen Down in Logo
How is it possible to predict the card?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Can you describe what happens in this film?
Build a scaffold out of drinking-straws to support a cup of water
A description of how to make the five Platonic solids out of paper.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Learn to write procedures and build them into Logo programs. Learn to use variables.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
The Tower of Hanoi is an ancient mathematical challenge. Working on
the building blocks may help you to explain the patterns you
How can you make an angle of 60 degrees by folding a sheet of paper
Here is a chance to create some attractive images by rotating
shapes through multiples of 90 degrees, or 30 degrees, or 72
How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
What shape would fit your pens and pencils best? How can you make it?
What shape and size of drinks mat is best for flipping and catching?
Use the interactivity to play two of the bells in a pattern. How do
you know when it is your turn to ring, and how do you know which
bell to ring?
Move your counters through this snake of cards and see how far you
can go. Are you surprised by where you end up?
A jigsaw where pieces only go together if the fractions are