Algebra
▪ Expanding and factorising expressions
▪ Solving linear and quadratic equations
Number Skills
▪ Fractions, decimals, percentages, and integers
▪ Indices and order of operations
Equations & Graphs
▪ Solving equations and inequalities
▪ Plotting linear relationships and interpreting graphs
Geometry
▪ Angle rules and properties of shapes
▪ Perimeter, area, surface area, and volume
Trigonometry
▪ Right-angled triangle problems
▪ Using sine, cosine, and tangent
Statistics & Probability
▪ Interpreting and analysing data
▪ Calculating mean, median, mode, and basic probability
Functions
▪ Understanding function notation and domain/range
▪ Sketching and transforming linear, quadratic, cubic, exponential, and logarithmic functions
Trigonometry
▪ Non-right-angled triangles: sine and cosine rules
▪ Radian measure, exact values, identities, and graphing trig functions
Calculus
▪ Differentiation from first principles
▪ Applications of derivatives: tangents, normals, rates of change, optimisation
▪ Basic integration and finding areas under curves
Algebra
▪ Solving equations (including polynomials, exponentials, logarithms)
▪ Working with inequalities and absolute value functions
Probability & Statistics
▪ Single-variable and conditional probability
▪ Mean and standard deviation
▪ Normal distributions and z-scores
Financial Mathematics & Modelling
▪ Arithmetic and geometric sequences and series
▪ Financial applications including compound interest and annuities
Reading & Text Analysis
▪ Analysing novels, plays, films, and poetry
▪ Identifying themes, language techniques, and literary devices
Writing Skills
▪ Essay writing (TEEL structure, argument development)
▪ Creative and persuasive writing techniques
Language & Grammar
▪ Sentence structure, punctuation, and paragraphing
▪ Vocabulary development and word choice
Comprehension & Critical Thinking
▪ Understanding implied meaning and author intent
▪ Responding to unseen texts with clarity and insight