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.
What shapes can you make by folding an A4 piece of paper?
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?
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Surprise your friends with this magic square trick.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
Make a mobius band and investigate its properties.
Follow these instructions to make a three-piece and/or seven-piece
Make a ball from 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?
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.
Can you make the birds from the egg tangram?
How can you make a curve from straight strips of paper?
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?
What shape and size of drinks mat is best for flipping and catching?
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?
What do these two triangles have in common? How are they related?
How many triangles can you make on the 3 by 3 pegboard?
Ideas for practical ways of representing data such as Venn and
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
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?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Arrange your fences to make the largest rectangular space you can.
Try with four fences, then five, then six etc.
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
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.
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.
Can you fit the tangram pieces into the outline of Granma T?
An activity making various patterns with 2 x 1 rectangular tiles.
Cut a square of paper into three pieces as shown. Now,can you use
the 3 pieces to make a large triangle, a parallelogram and the
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.
Here's a simple way to make a Tangram without any measuring or
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
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 Little Ming playing the board game?
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these people?
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Take 5 cubes of one colour and 2 of another colour. How many
different ways can you join them if the 5 must touch the table and
the 2 must not touch the table?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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?
Can you describe what happens in this film?