Learn to write procedures and build them into Logo programs. Learn to use variables.
Write a Logo program, putting in variables, and see the effect when you change the variables.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
What happens when a procedure calls itself?
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Follow these instructions to make a three-piece and/or seven-piece
Make a clinometer and use it to help you estimate the heights of
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Make a spiral mobile.
Make a ball from triangles!
How can you make a curve from straight strips of paper?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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.
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?
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?
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
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.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
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.
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.
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.
Surprise your friends with this magic square trick.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
More Logo for beginners. Now learn more about the REPEAT command.
Make some celtic knot patterns using tiling techniques
Make a mobius band and investigate its properties.
Turn through bigger angles and draw stars with Logo.
Learn about Pen Up and Pen Down in Logo
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 is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
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
Follow these instructions to make a five-pointed snowflake from a
square of paper.
Use the tangram pieces to make our pictures, or to design some of
Cut a square of paper into three pieces as shown. Now,can you use
the 3 pieces to make a large triangle, a parallelogram and the
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
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?
Can you describe what happens in this film?
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
This article for students gives some instructions about how to make some different braids.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
A description of how to make the five Platonic solids out of paper.
What shapes can you make by folding an A4 piece of paper?
This practical activity involves measuring length/distance.