
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.
These materials offer a ‘fine-grained’ description of the key themes and big ideas of the national curriculum by detailing:
Click on the diagram for an overview of the structure or read a document with more detail and all numerical codes.
Theme 1 comprises four core concepts: place value, estimation and rounding; properties of number; ordering and comparing; simplifying and manipulating expressions, equations and formulae.
Theme 2 comprises two core concepts: arithmetic procedures; solving linear equations.
Theme 3 comprises two core concepts: understanding multiplicative relationships; trigonometry.
Theme 4 comprises two core concepts: sequences; graphical representations.
Theme 5 comprises three core concepts: statistical representations and measure; statistical analysis; probability.
Theme 6 comprises four core concepts: geometrical properties; perimeter, area and volume; transforming shapes; constructions.
Materials for exploring algebra with KS3 students
Each of the 17 core concept pages within this section highlights specific classroom and professional development resources that support the use of these materials. These are also available elsewhere, arranged by type of resource. All this content is wholly consistent with the DfE guidance for teaching maths at KS3, published in the 2021 autumn term.