This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
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.
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
What is the missing symbol? Can you decode this in a similar way?
Can you deduce the pattern that has been used to lay out these
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Systematically explore the range of symmetric designs that can be
created by shading parts of the motif below. Use normal square
lattice paper to record your results.
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
This activity investigates how you might make squares and pentominoes from Polydron.
Use the clues about the symmetrical properties of these letters to
place them on the grid.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
Someone at the top of a hill sends a message in semaphore to a
friend in the valley. A person in the valley behind also sees the
same message. What is it?
Explore ways of colouring this set of triangles. Can you make
What mathematical words can be used to describe this floor
covering? How many different shapes can you see inside this
This problem explores the shapes and symmetries in some national flags.
Mathematics is the study of patterns. Studying pattern is an
opportunity to observe, hypothesise, experiment, discover and
How many necklaces can you make that fit the rule? How do you know you've got them all?
Use the information on these cards to draw the shape that is being described.
These images are taken from the Topkapi Palace in Istanbul, Turkey.
Can you work out the basic unit that makes up each pattern? Can you
continue the pattern? Can you see any similarities and. . . .
Find the missing coordinates which will form these eight
quadrilaterals. These coordinates themselves will then form a shape
with rotational and line symmetry.
This interactivity allows you to sort letters of the alphabet into two groups according to different properties.
Plex lets you specify a mapping between points and their images.
Then you can draw and see the transformed image.
An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?