The structure of the number system

Theme 1 comprises four core concepts: place value, estimation and rounding; properties of number; ordering and comparing; simplifying and manipulating expressions, equations and formulae.

Secondary KS3
Mastery PD Materials
The structure of the number system

The links immediately below take you to pages dedicated to each core concept, which include all the classroom and professional development resources you need.

Underneath the links to the core concept pages, you can download an overview of the entire theme, and a single download of all core concept documents within the theme.

  • 1.1 Place value, estimation and rounding

    Core concept 1.1 covers the structure of our place-value system (particularly as it relates to decimals) and rounding numbers to a required number of decimal places or significant figures.

  • 1.2 Properties of number

    Core concept 1.2 focuses on factors, multiples and primes, exploring various representations to support understanding of highest common factors and lowest common multiples.

  • 1.3 Ordering and comparing

    Core concept 1.3 covers the conversion of decimals to fractions (and vice versa), ordering positive and negative integers, fractions and decimals, and the expression of numbers in standard form.

  • 1.4 Simplifying and manipulating expressions, equations and formulae

    Core concept 1.4 concerns the generalisation of number structures, the use of algebraic symbols, and techniques for their manipulation. The rearranging of formulae is also explored.