Mathematics involves the exploration and use of patterns and relationships in quantities, space, time and data. Mathematics equips students with effective means for investigating, interpreting, explaining, and making sense of the world in which we live.

By studying Mathematics students develop the ability to think creatively, critically, strategically, and logically.

##### Year 9: Mathematics

Mathematics in Year 9 covers the following topics:

- Numeracy skills
- Estimation
- Problem solving and investigation
- Practical application of Mathematics

Students are given the opportunity to take part in the Numberworks O’Mathalon competition at the Edgar Centre, the Australian Mathematics Competition and the University of Otago Junior Mathematics Competition. Other extension or remedial tasks are provided where necessary and when appropriate.

##### Year 10: Mathematics

**Topics:**

- To help students to develop a belief in the value of mathematics and its usefulness to them, to nurture confidence in their own mathematical ability, to foster a sense of personal achievement, and to encourage a continuing and creative interest in mathematics.
- To continue to develop in students, the skills, concepts, understanding and attitudes which enable them to cope confidently with the mathematics of everyday life.
- To prepare students for the mathematical requirement of their future whether it be for further study, employment or recreation.

**Skills:**

- Emphasis is on numeracy skills, estimation, problem solving, investigation and the practical application of mathematics.

##### Year 11: Mathematics

**Topics:**

- Numeric Reasoning
- Algebra
- Tables
- Equations
- Graphs
- Geometry
- Statistics & Probability

**Skills:**

- The course prepares students for a future pathway in Mathematics and Statistics.
- Students will gain fluency in their algebraic skills and extend their abstract thinking to a wide range of applications.

The course is a combination of internally and externally assessed Achievement Standards.

##### Year 12: Mathematics

**Topics:**

- Algebra
- Calculus
- Graphical Methods
- Sequences and Series
- Trigonometry
- Statistics

**Skills:**

- This course has a high Algebra content with a focus on sound understanding of Algebra, Graphs and Calculus and the connections between them.
- Students will develop their ability to manipulate algebraic expressions and set out logical arguments, as well as gain understanding of mathematical probability and associated models.

This course covers the Algebra required for progression to the Level 3 Calculus course. Students could also meet the criteria for entrance to the Level 3 Statistics course.

##### Year 13: Mathematics

**Topics:**

- Algebra
- Calculus
- Graphical Methods
- Sequences and Series
- Trigonometry
- Statistics

**Skills:**

- This course has a high Algebra content with a focus on sound understanding of Algebra, Graphs and Calculus and the connections between them.
- Students will develop their ability to manipulate algebraic expressions and set out logical arguments, as well as gain understanding of mathematical probability and associated models.

This course covers the Algebra required for progression to the Level 3 Calculus course. Students could also meet the criteria for entrance to the Level 3 Statistics course.

##### Year 13: Mathematics with Statistics

**Topics:**

- Time Series
- Bivariate Measurement
- Statistic Reports
- Probability
- Linear Programming
- Design Principals

**Skills:**

- This course takes a comprehensive look at understanding some of the patterns we observe in real world data.
- Students learn to make sense of data and relate their findings to research.
- This course covers techniques of analysing time series and bivariate data, using and evaluating experimental design principles, understanding probability theories, and looking at probability distributions.

This is a UE approved course.

Students considering pursuing a career in Botany, Ecology, Economics, Finance, Geography, Marketing, Psychology, Zoology and Mathematics, are strongly advised to take statistics as it is often required as a pre requisite for entry to a tertiary course.

##### Year 13: Mathematics with Calculus

**Topics:**

- Linear Programming
- Trigonometry
- Algebraic Methods
- Linear Systems
- Differentiation
- Integration

**Skills:**

- This course builds on the Algebra and Calculus skills developed in Level 2 Mathematics and applies these skills in context to applications such as finding optimum values and related rates of change.

This is a UE approved course.

Students considering pursuing a career in Engineering, Architecture, Science, Commerce, Computer Science and Mathematics, are strongly advised to take Calculus as it is often required as a pre requisite for entry to tertiary courses.