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.
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?
What shapes can you make by folding an A4 piece of paper?
Make a ball from triangles!
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Can you visualise what shape this piece of paper will make when it is folded?
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?
How many triangles can you make on the 3 by 3 pegboard?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
What do these two triangles have in common? How are they related?
Make a mobius band and investigate its properties.
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?
What happens to the area of a square if you double the length of
the sides? Try the same thing with rectangles, diamonds and other
shapes. How do the four smaller ones fit into the larger one?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
Make some celtic knot patterns using tiling techniques
Surprise your friends with this magic square trick.
Follow these instructions to make a three-piece and/or seven-piece
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
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?
These practical challenges are all about making a 'tray' and covering it with paper.
How can you make a curve from straight strips of paper?
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.
How do you know if your set of dominoes is complete?
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?
Can you fit the tangram pieces into the outline of Little Fung at the table?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
What shape and size of drinks mat is best for flipping and catching?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
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?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this junk?
This practical activity involves measuring length/distance.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
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.
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?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?