Make an equilateral triangle by folding paper and use it to make
patterns of your own.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Follow these instructions to make a three-piece and/or seven-piece
Turn through bigger angles and draw stars with Logo.
Make a ball from triangles!
Make a clinometer and use it to help you estimate the heights of
Make a spiral mobile.
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
How is it possible to predict the card?
More Logo for beginners. Now learn more about the REPEAT command.
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?
A game to make and play based on the number line.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
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.
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. . . .
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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?
Write a Logo program, putting in variables, and see the effect when you change the variables.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Learn about Pen Up and Pen Down in Logo
Make a mobius band and investigate its properties.
Learn to write procedures and build them into Logo programs. Learn to use variables.
How can you make an angle of 60 degrees by folding a sheet of paper
How can you make a curve from straight strips of paper?
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
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?
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.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
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?
Make some celtic knot patterns using tiling techniques
Can you describe what happens in this film?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
This practical activity involves measuring length/distance.
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
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?
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
This article for students gives some instructions about how to make some different braids.
Have a look at what happens when you pull a reef knot and a granny
knot tight. Which do you think is best for securing things
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.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?