A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
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?
Try this interactive strategy game for 2
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
Can you fit the tangram pieces into the outline of Granma T?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Can you create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
Can you fit the tangram pieces into the outline of this junk?
What happens when you turn these cogs? Investigate the differences
between turning two cogs of different sizes and two cogs which are
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of Little Ming?
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Can you fit the tangram pieces into the outlines of the candle and sundial?
Use the interactivity or play this dice game yourself. How could
you make it fair?
Work out the fractions to match the cards with the same amount of
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.
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?
A generic circular pegboard resource.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
Can you fit the tangram pieces into the outlines of the chairs?
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
An animation that helps you understand the game of Nim.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
A card pairing game involving knowledge of simple ratio.
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?