The tasks in this feature use Cuisenaire rods to help learners visualise and explore the links to be made between proportionality, equivalence, comparison, difference and pattern. If you do not have physical rods, then our Cuisenaire environment will be a useful supplement.

The last day for submitting solutions to our live problems is Monday 3 February.

The last day for submitting solutions to our live problems is Monday 3 February.

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

An environment which simulates working with Cuisenaire rods.

How many different rectangles can you make using this set of rods?

A train building game for two players. Can you be the one to complete the train?

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?

Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?