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. . . .
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Make a clinometer and use it to help you estimate the heights of
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.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
A game to make and play based on the number line.
Follow these instructions to make a three-piece and/or seven-piece
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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
This article for students gives some instructions about how to make some different braids.
Make some celtic knot patterns using tiling techniques
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
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.
Make a ball from triangles!
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Use the tangram pieces to make our pictures, or to design some of
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?
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?
Ideas for practical ways of representing data such as Venn and
How is it possible to predict the card?
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.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
How can you make a curve from straight strips of paper?
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.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
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.
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
What happens when a procedure calls itself?
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?
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?
Learn to write procedures and build them into Logo programs. Learn to use variables.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Use the interactivity to play two of the bells in a pattern. How do
you know when it is your turn to ring, and how do you know which
bell to ring?
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.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
Can you describe what happens in this film?
The ancient Egyptians were said to make right-angled triangles
using a rope with twelve equal sections divided by knots. What
other triangles could you make if you had a rope like this?
Take a rectangle of paper and fold it in half, and half again, to
make four smaller rectangles. How many different ways can you fold
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Let's say you can only use two different lengths - 2 units and 4
units. Using just these 2 lengths as the edges how many different
cuboids can you make?