Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
We have a box of cubes, triangular prisms, cones, cuboids,
cylinders and tetrahedrons. Which of the buildings would fall down
if we tried to make them?
These pictures show squares split into halves. Can you find other ways?
Using a loop of string stretched around three of your fingers, what
different triangles can you make? Draw them and sort them into
Explore the triangles that can be made with seven sticks of the
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
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.
Can you see which tile is the odd one out in this design? Using the
basic tile, can you make a repeating pattern to decorate our wall?
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
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
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
You'll need a collection of cups for this activity.
For this activity which explores capacity, you will need to collect some bottles and jars.
What shapes can you make by folding an A4 piece of paper?
Can you make five differently sized squares from the tangram
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5,
In this activity focusing on capacity, you will need a collection of different jars and bottles.
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?
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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Ideas for practical ways of representing data such as Venn and
Here's a simple way to make a Tangram without any measuring or
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Can you make the birds from the egg tangram?
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
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.
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Make a cube out of straws and have a go at this practical
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
Make new patterns from simple turning instructions. You can have a
go using pencil and paper or with a floor robot.