Knowledge Organisers

These short reference guides have been created to support revision and exam practice. A full explanation of each topic can be found in the relevant E-text.

PureStatisticsApplied
Algebra – Indices and SurdsProbability – IntroductionModelling, Newton’s Laws and Vectors
Algebra – Completing Square Root of QuadraticsProbability – Specific Discrete DistributionsApplications of non-point forces
Algebra – Division of Polynomial and Factor TheoremProbability – Continuous DistributionsApplication of point forces
Algebra – Partial FractionsProbability – Rules of ProbabilityMotion with constant acceleration
Functions – IntroductionProbability – Discrete Probability functions and mean and varianceDistance, Displacement, Speed Velocity and Acceleration
Functions – The Modulus FunctionStatistical Inference – Hypothesis testing
Functions – Effect of TransformationStatistical Inference – Inferential Cycle
Functions – Additional Technical FeaturesStatistical Inference – Regression and Correlation
VectorsStatistical Inference – Sampling Distributions
TrigonometryDescriptive Statistics
Binomial ExpansionDescriptive Statistics – Measures of Location
Some Numerical Methods
Coordinate Geometry 1
Coordinate Geometry 2
Sequences and Series
Methods of Proof
Differentiation 1
Differentiation 2
Logarithms
Linear and Quadratic Inequalities
Integration 1
Integration 2