Make a clinometer and use it to help you estimate the heights of
Turn through bigger angles and draw stars with Logo.
Follow these instructions to make a three-piece and/or seven-piece
Learn about Pen Up and Pen Down in Logo
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.
Make an equilateral triangle by folding paper and use it to make
patterns 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 a mobius band and investigate its properties.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
Learn to write procedures and build them into Logo programs. Learn to use variables.
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.
Make a ball from triangles!
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Surprise your friends with this magic square trick.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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?
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?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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?
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.
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. . . .
How can you make an angle of 60 degrees by folding a sheet of paper
More Logo for beginners. Now learn more about the REPEAT command.
Write a Logo program, putting in variables, and see the effect when you change the variables.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
A game to make and play based on the number line.
How can you make a curve from straight strips of paper?
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.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
This practical activity involves measuring length/distance.
If you'd like to know more about Primary Maths Masterclasses, this
is the package to read! Find out about current groups in your
region or how to set up your own.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
Ideas for practical ways of representing data such as Venn and
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
This article for students gives some instructions about how to make some different braids.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
Make some celtic knot patterns using tiling techniques
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
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?
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 describe what happens in this film?