Make an equilateral triangle by folding paper and use it to make
patterns of your own.
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.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Turn through bigger angles and draw stars with Logo.
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 can you make a curve from straight strips of paper?
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.
Make a mobius band and investigate its properties.
How is it possible to predict the card?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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.
Make a spiral mobile.
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.
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.
More Logo for beginners. Now learn more about the REPEAT command.
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. . . .
What happens when a procedure calls itself?
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.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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?
Make a ball from triangles!
Make a clinometer and use it to help you estimate the heights of
Surprise your friends with this magic square trick.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
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.
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.
Make some celtic knot patterns using tiling techniques
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
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?
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
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.
How can you make an angle of 60 degrees by folding a sheet of paper
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?
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
Can you describe what happens in this film?
Here are some ideas to try in the classroom for using counters to investigate number patterns.
Can you cut up a square in the way shown and make the pieces into a
This article for students gives some instructions about how to make some different braids.