## Number: Number and place value

*Knowledge of number and place value underpins all other mathematical learning, so the importance of providing pupils with a secure understanding of this topic cannot be understated.*

In these chapters, pupils will learn that each digit represents a certain value. As part of this, they will use numbers for counting (1, 2, 3…) and to indicate quantity (2 apples, 3 centimetres). They will also use both numbers and symbols for ordering (first, second, third and 1^{st}, 2^{nd}, 3^{rd}).

Pupils will see how numbers can be partitioned in different ways and then put back together. Ultimately, it is this knowledge that will help them understand addition, subtraction, multiplication and division.

Throughout this learning journey, it is vital that pupils build their understanding of number and place value using varied concrete and pictorial representations. The use of these representations should not just be confined to the early chapters.