NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
An interactive activity for one to experiment with a tricky tessellation
Exchange the positions of the two sets of counters in the least possible number of moves
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
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 these clocks?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of these people?
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
A generic circular pegboard resource.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
An odd version of tic tac toe
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!
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Move just three of the circles so that the triangle faces in the
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
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.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Use the clues to colour each square.
Twenty four games for the run-up to Christmas.
Use the interactivity or play this dice game yourself. How could
you make it fair?
A train building game for 2 players.
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Train game for an adult and child. Who will be the first to make the train?
Using angular.js to bind inputs to outputs
Complete the squares - but be warned some are trickier than they
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?