Make some celtic knot patterns using tiling techniques
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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.
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 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.
A game to make and play based on the number line.
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.
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. . . .
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
As part of Liverpool08 European Capital of Culture there were a
huge number of events and displays. One of the art installations
was called "Turning the Place Over". Can you find our how it works?
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.
How can you make a curve from straight strips of paper?
Use the tangram pieces to make our pictures, or to design some of
You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
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.
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.
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
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.
Make a ball from triangles!
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.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Write a Logo program, putting in variables, and see the effect when you change the variables.
Ideas for practical ways of representing data such as Venn and
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?
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
The triangle ABC is equilateral. The arc AB has centre C, the arc
BC has centre A and the arc CA has centre B. Explain how and why
this shape can roll along between two parallel tracks.
I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?
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.
Starting with four different triangles, imagine you have an
unlimited number of each type. How many different tetrahedra can
you make? Convince us you have found them all.
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
A description of how to make the five Platonic solids out of paper.
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Learn about Pen Up and Pen Down in Logo
Turn through bigger angles and draw stars with Logo.
More Logo for beginners. Now learn more about the REPEAT command.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!