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 these past sporting results. Can you use them to predict future results?

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.

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.

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?