Level 7 Maths
This course supports your preparation for NCEA Level 2 Mathematics, focusing on the skills and concepts required to succeed in internal and external achievement standards. Each topic links directly to one of the official NCEA Level 2 standards — like trigonometry, statistical inference, algebra, and probability.
Whether you’re working toward your next assessment or aiming for Merit or Excellence, these resources are designed to help you develop deeper understanding, confidence, and exam-readiness.
Topics by Standard
Each topic below corresponds to an NCEA Level 2 achievement standard. Inside each topic, you’ll find subtopics that break down key ideas, worked examples, and practice activities aligned with assessment requirements.
You can follow the full sequence or jump to the standard you’re currently studying. Use the pages to clarify concepts, revise before assessments, or stretch toward Excellence.
Co-ordinate Geometry
Apply co-ordinate geometry methods in solving problems involving distance, midpoints, gradients, and equations.
Graphical Methods
Apply graphical methods to solve problems involving linear, quadratic, and non-linear graphs.
Sequences and Series
Apply sequences and series in solving problems including arithmetic and geometric progressions.
Trigonometry
Apply trigonometric relationships to solve problems involving right and non-right triangles.
Networks
Apply network methods to solve problems involving traversability, minimal paths, and critical paths.
Algebraic Methods
Apply algebraic methods including manipulation, expansion, factorisation, and solving equations.
Calculus
Apply calculus methods including differentiation and using derivatives to solve problems.
Rates of Change
Apply rates of change to solve contextual problems involving speed, volume, or population.
Statistical Inference
Use statistical methods to make an inference from a comparison of two groups.
Conduct an Experiment
Conduct an experiment to investigate a situation using the statistical enquiry cycle.
Evaluate a Statistical Report
Evaluate a statistically based report, considering data collection, analysis, and conclusions.
Probability Methods
Apply probability methods in solving problems involving risk, chance, and expected outcomes.
Chance & Simulations
Investigate situations involving elements of chance using simulations and probability models.
Systems of Equations
Apply systems of equations to solve contextual problems with multiple variables.