Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Learn about Pen Up and Pen Down in Logo
Follow these instructions to make a three-piece and/or seven-piece
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Make a clinometer and use it to help you estimate the heights of
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
How can you make a curve from straight strips of paper?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Write a Logo program, putting in variables, and see the effect when you change the variables.
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 spiral mobile.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Make a ball from triangles!
Make a mobius band and investigate its properties.
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
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 to write procedures and build them into Logo programs. Learn to use variables.
Turn through bigger angles and draw stars with Logo.
More Logo for beginners. Now learn more about the REPEAT command.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
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.
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.
Follow these instructions to make a five-pointed snowflake from a
square of paper.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Make some celtic knot patterns using tiling techniques
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make 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
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
A description of how to make the five Platonic solids out of paper.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
What happens when a procedure calls itself?
How is it possible to predict the card?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Can you cut up a square in the way shown and make the pieces into a
Here's a simple way to make a Tangram without any measuring or
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?
Here are some ideas to try in the classroom for using counters to investigate number patterns.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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.