This course is designed for students who have not yet achieved the Numeracy co-requisite by the end of the first half of 2026. The course provides ongoing support to help students achieve Numeracy while developing essential mathematical skills.
Scientific Calculator: A fully functional Scientific Calculator (such as a Casio fx-991EX or similar) is required for most in-class work and for external assessments, particularly for complex trigonometric and calculus calculations.
Access to a Personal Computing Device: To fully participate in the course, access to a personal computing device (such as a laptop or Chromebook) is recommended, as you will be using technology for graphing, modeling, and external research throughout the year.
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This course offers a maximum of 16 NCEA Level 2 credits. It uses a mixture of digital and paper-based assessment, with Desmos provided as a support platform to enhance students’ learning and assessment experience.
In this course, you will significantly strengthen your ability to think critically, reason mathematically, and apply problem-solving techniques. You will learn how to model real-world situations, select the most effective mathematical methods, and interpret your solutions in context.
You will explore a range of key mathematical areas, including:
Systems of Equations (Standard AS91269): You will master methods for solving systems of equations, including simultaneous linear and non-linear equations, which allows you to find common solutions in problems involving intersecting graphs and multiple conditions.
Graphical Methods (Standard AS91275): You will develop precision in using graphs to solve complex systems of equations, interpret functions (including parabolic, circular, and trigonometric forms), and translate between algebraic and visual representations to make informed conclusions.
Co-ordinate Geometry (Standard AS91256): You will use the concepts of co-ordinate geometry to investigate geometric properties and relationships, applying tools like distance, midpoint, and gradient formulas to solve problems in two dimensions.
Network (Standard AS91260): You will use network diagrams (graphs) to solve real-world problems involving connections between people, places, or objects.
Questionnaire Design (Standard AS91263): Developing effective survey questions and collecting meaningful responses to explore social, scientific, or environmental issues.
Experiments (Standard AS91265): Designing and carrying out investigations to test hypotheses and understand relationships between variables.
Studying advanced Mathematics opens doors to a wide range of future study and career opportunities. The skills you gain—such as graphical problem-solving, statistcal investigation, logical reasoning, and the ability to apply complex formulas—are highly valued across many industries.
Possible career pathways include:
Data Science and Technology: Data Scientist, Software Developer, Machine Learning Engineer, Quantitative Analyst, Algorithm Developer
Business and Finance: Actuary, Financial Analyst, Risk Manager, Economist, Portfolio Manager
Applied Research and Analysis: Operations Research Analyst, Applied Mathematician, Research Consultant, Technical Writer
Design and Spatial Analysis: Architect, Surveyor, Urban Planner, Cartographer
This course provides a strong foundation for further study in areas such as Engineering, Computer Science, Data Science, Finance, Economics, and Applied Mathematics.