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NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
A game in which players take it in turns to choose a number. Can you block your opponent?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outlines of the workmen?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Can you fit the tangram pieces into the outline of Little Ming?
Can you fit the tangram pieces into the outline of the rocket?
Move four sticks so there are exactly four triangles.
Here is a version of the game 'Happy Families' for you to make and play.
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you fit the tangram pieces into the outline of this goat and giraffe?
Can you fit the tangram pieces into the outline of the child walking home from school?
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?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Here's a simple way to make a Tangram without any measuring or ruling lines.
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 split each of the shapes below in half so that the two parts are exactly the same?
Can you put these shapes in order of size? Start with the smallest.
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of this telephone?
Can you cut up a square in the way shown and make the pieces into a triangle?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
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 brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of the chairs?
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 the watering can and man in a boat?
Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
Can you fit the tangram pieces into the outline of Granma T?
Can you fit the tangram pieces into the outline of this sports car?
Can you fit the tangram pieces into the outline of these convex shapes?
What is the greatest number of squares you can make by overlapping three squares?
A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.