Make an equilateral triangle by folding paper and use it to make
patterns 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.
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
If these balls are put on a line with each ball touching the one in
front and the one behind, which arrangement makes the shortest line
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Make some celtic knot patterns using tiling techniques
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
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?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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?
Make a spiral mobile.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Ideas for practical ways of representing data such as Venn and
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
An activity making various patterns with 2 x 1 rectangular tiles.
Turn through bigger angles and draw stars with Logo.
Make a cube out of straws and have a go at this practical
Learn about Pen Up and Pen Down in Logo
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
What happens when a procedure calls itself?
Write a Logo program, putting in variables, and see the effect when you change the variables.
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
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.
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?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
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.
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?
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
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.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
More Logo for beginners. Now learn more about the REPEAT command.
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
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?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.