Numbers can be represented in different ways. By this I mean we can use different objects and images to show what a number is worth, and in turn, compare this to other numbers. Common ways of representing numbers in school the following:

  • Whole- part models: these allow us to see that parts of a number together equal a total and that the value of numbers can be identified through small parts being added together. We can also use this model to show how a total can be partitioned (split) in different ways.
  • Place Value counters: these are a practical and fun way to make numbers. Their versatile nature means almost any number can be made and the representations of each value are shown on the counters.
  • Base Ten: sometimes known as ‘Deines’. These cubes are concrete objects that children can feel to compare the value of each one. The representations of number make it clear for children to see how one number might be greater than another by the physical amount of blocks they can see.
  • Bar models: a useful concept that can be used for most problem-solving questions. It can be applied to act as a great visual aid for any calculation and is introduced at an early age so children will be familiar with this as they progress through their education.

Watch the guidance tutorial for a clearer breakdown then have a go at the worksheet. Good luck!