Algebra & Modelling
8 topics recommended
Represent relationships with symbols, equations, functions, graphs, and mathematical models.
Algebraic Manipulation
Simplify, expand, factorise, and rearrange expressions while preserving equality.
Simultaneous Equations
Solve two or more equations together when the unknowns share the same values.
Quadratic Equations and Functions
Solve and interpret quadratics using factorisation, formula, completing the square, and graphs.
Inequalities and Regions
Solve inequalities and represent solution sets on number lines and coordinate planes.
Functions and Graphs
Use input-output rules, domain, range, gradients, intercepts, and transformations.
Sequences and Series
Find rules for arithmetic and geometric sequences and calculate sums.
Variation and Proportion
Model direct, inverse, and combined relationships between quantities.
Mathematical Modelling
Translate a real situation into assumptions, variables, equations, graphs, and a checked conclusion.