Section One - Number
Types of number and bidmas
Multiples, factors and prime factors
LCM and HCF
Fractions
Fractions and recurring decimals
Rounding numbers and estimating
Bounds
Standard form

Section Two - Algebra
Algebra basics
Powers and roots
Multiplying out brackets
Factorising
Manipulating surds
Solving equations
Formulas
Factorising quadratics
The Quadratic formula
Completing the square
Algebraic fractions
Sequences
Inequalities
Graphical inequalities
Iterative methods
Simultaneous equations
Proof
Functions

Section Three - Graphs
Straight line graphs
Quadratic graphs
Harder graphs
Solving equations using graphs
Graph transformation
Real-life graphs
Distance-time graphs
Velocity-time graphs
Gradients of curves

Section Four - Ratio, proportion and rates of change
Ratios
Direct and inverse proportion
Percentages
Compound growth and decay
Speed
Density
Pressure

Section Five - Geometry and measures
Geometry
Polygons
Circle geometry
Congruent shapes
Similar shapes
The four transformations
Perimeter and area
3D shapes - surface area and volume
More enlargements
Projections
Loci and constructions
Bearings

Section Six - Pythagoras and trigonometry
Pythagoras' theorem
Trigonometry
The sine and cosine rules
3D Pythagoras and trigonometry
Vectors

Section Seven - Probability and Statistics
Probability basics
Counting outcomes
Probability experiments
The AND / OR rules
Tree diagrams
Conditional probability
Sets and venn diagrams
Sampling and data collection
Mean, median, mode and range
Grouped frequency tables
Box plots
Cumulative frequency
Histograms and frequency density
Other graphs and charts

	Created by Bethany Staff over 4 years ago

Edexel GCSE Mathematics Topics