How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
What shape would fit your pens and pencils best? How can you make it?
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
Make a spiral mobile.
This article for students gives some instructions about how to make some different braids.
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.
Build a scaffold out of drinking-straws to support a cup of water
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?
Make some celtic knot patterns using tiling techniques
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
Exploring and predicting folding, cutting and punching holes and
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Ideas for practical ways of representing data such as Venn and
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 is the largest number of circles we can fit into the frame
without them overlapping? How do you know? What will happen if you
try the other shapes?
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
More Logo for beginners. Now learn more about the REPEAT command.
Make a clinometer and use it to help you estimate the heights of
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
What shape and size of drinks mat is best for flipping and catching?
A brief video looking at how you can sometimes use symmetry to
distinguish knots. Can you use this idea to investigate the
differences between the granny knot and the reef knot?
How is it possible to predict the card?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
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 a cube out of straws and have a go at this practical
An activity making various patterns with 2 x 1 rectangular tiles.
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
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?
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Write a Logo program, putting in variables, and see the effect when you change the variables.
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
How do you know if your set of dominoes is complete?
What happens when a procedure calls itself?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Learn about Pen Up and Pen Down in Logo
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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.
A description of how to make the five Platonic solids out of paper.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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?
Using different numbers of sticks, how many different triangles are
you able to make? Can you make any rules about the numbers of
sticks that make the most triangles?