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?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Build a scaffold out of drinking-straws to support a cup of water
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
This article for students gives some instructions about how to make some different braids.
Make a spiral mobile.
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.
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?
What shape and size of drinks mat is best for flipping and catching?
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.
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.
Make some celtic knot patterns using tiling techniques
Which of the following cubes can be made from these nets?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
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.
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 happens when a procedure calls itself?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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 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.
Learn about Pen Up and Pen Down in Logo
Write a Logo program, putting in variables, and see the effect when you change the variables.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Turn through bigger angles and draw stars with Logo.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Move your counters through this snake of cards and see how far you
can go. Are you surprised by where you end up?
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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?
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
An activity making various patterns with 2 x 1 rectangular tiles.
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
Ideas for practical ways of representing data such as Venn and
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
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?
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are