Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
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?
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
In this activity focusing on capacity, you will need a collection of different jars and bottles.
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.
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.
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
We can cut a small triangle off the corner of a square and then fit
the two pieces together. Can you work out how these shapes are made
from the two pieces?
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?
Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
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?
What shapes can you make by folding an A4 piece of paper?
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
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5,
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?
Can you fit the tangram pieces into the outlines of these clocks?
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?
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?
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 outlines of the lobster, yacht and cyclist?
Ideas for practical ways of representing data such as Venn and
Can you fit the tangram pieces into the outline of the child walking home from school?
Here's a simple way to make a Tangram without any measuring or
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?
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
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?
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 Little Fung at the table?
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 outlines of the chairs?
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 this telephone?
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
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?