More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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.
Make a clinometer and use it to help you estimate the heights of
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.
Learn about Pen Up and Pen Down in Logo
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 cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
How is it possible to predict the card?
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 ball from triangles!
Make a mobius band and investigate its properties.
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.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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. . . .
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
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.
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
Write a Logo program, putting in variables, and see the effect when you change the variables.
How can you make an angle of 60 degrees by folding a sheet of paper
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
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.
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?
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
How can you make a curve from straight strips of paper?
Make some celtic knot patterns using tiling techniques
Can you describe what happens in this film?
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
This practical activity involves measuring length/distance.
What shapes can you make by folding an A4 piece of paper?
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Follow these instructions to make a five-pointed snowflake from a
square of paper.
A description of how to make the five Platonic solids out of paper.
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.
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
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!
Here are some ideas to try in the classroom for using counters to investigate number patterns.
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