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.
Turn through bigger angles and draw stars with Logo.
More Logo for beginners. Now learn more about the REPEAT command.
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.
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.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
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.
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
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 is it possible to predict the card?
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.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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?
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 an equilateral triangle by folding paper and use it to make
patterns of your own.
What shape and size of drinks mat is best for flipping and catching?
Make a clinometer and use it to help you estimate the heights of
Build a scaffold out of drinking-straws to support a cup of water
Make a spiral mobile.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Which of the following cubes can be made from these nets?
This article for students gives some instructions about how to make some different braids.
Use the tangram pieces to make our pictures, or to design some of
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Can you describe what happens in this film?
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?
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 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?
A description of how to make the five Platonic solids out of paper.
Make some celtic knot patterns using tiling techniques
What shape would fit your pens and pencils best? How can you make it?
A jigsaw where pieces only go together if the fractions are
How can you make an angle of 60 degrees by folding a sheet of paper
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Delight your friends with this cunning trick! Can you explain how
Move your counters through this snake of cards and see how far you
can go. Are you surprised by where you end up?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
I start with a red, a blue, a green and a yellow marble. I can
trade any of my marbles for three others, one of each colour. Can I
end up with exactly two marbles of each colour?
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?
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.