## Range and content

This section outlines the breadth of the subject on which teachers should draw when teaching the key concepts and key processes.

The study of mathematics should enable pupils to apply their knowledge, skills and understanding to relevant real-world situations.

The study of mathematics should include:

3.1 Number and algebra

a rational numbers, their properties and their different representations

b rules of arithmetic applied to calculations and manipulations with rational numbers

c applications of ratio and proportion

d accuracy and rounding

e algebra as generalised arithmetic

f linear equations, formulae, expressions and identities

g analytical, graphical and numerical methods for solving equations

h polynomial graphs, sequences and functions

3.2 Geometry and measures

a properties of 2D and 3D shapes

b constructions, loci and bearings

c Pythagoras' theorem

d transformations

e similarity, including the use of scale

f points, lines and shapes in 2D coordinate systems

g units, compound measures and conversions

h perimeters, areas, surface areas and volumes

3.3 Statistics

a the handling data cycle

b presentation and analysis of grouped and ungrouped data, including time series and lines of best fit

c measures of central tendency and spread

d experimental and theoretical probabilities, including those based on equally likely outcomes.