Exploring and noticing

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

There are lots of different methods to find out what the shapes are worth - how many can you find?

Try out this number trick. What happens with different starting numbers? What do you notice?

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

What would happen if we lost all the nines in our number system?

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

Use these four dominoes to make a square that has the same number of dots on each side.