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

Year 9 Mathematics

Topics:

  • Number and Number Strategies
  • Patterns and Graphs
  • Algebra
  • Shapes and Angles
  • Measurement
  • Probability

 

 

Year 10: Mathematics

Topics:

  • Transformations
  • Trigonometry and Pythagoras
  • Measurement
  • Financial Literacy
  • Linear Algebra
  • Algebra
  • Statistics

Skills:

  • Students develop skills, concepts, understanding and attitudes that will enable them to cope confidently with the mathematics of everyday life.
  • Students develop Numeracy skills in preparation for the Numeracy CAA at the end of Year 10.
  • Students prepare for the mathematical requirement for their future whether it be for further study, employment or recreation.

Extension

  • Students are given the opportunity to take part in competitions online such as the Bebras challenge, the Australian Mathematics competition, the University of Otago Junior Mathematics competition and the junior team OMAthalon event at the Edgar Centre. Other extension and remedial tasks are provided where necessary and appropriate.
  • Students develop Numeracy skills across the curriculum in the junior Mathematics programme in preparation for the Numeracy CAA at the end of Year 10.
Year 11: Mathematics

Year 11:  Mathematics, Statistics and Algebra

Topics: 

  • Number
  • Algebra
  • Space
  • Measurement
  • Statistics

Skills: 

  • In a range of contexts, students will be required to solve problems and model situations which require them to select and carry a logical sequence of steps to solve a problem.
  • Report writing and decision making based on evidence communicating findings, evaluating and discussing the validity of findings, using appropriate displays and technology.
  • Students gain fluency in their algebraic skills and extend their abstract thinking across the Mathematical curriculum in a wide range of applications.

Year 11:  Mathematics and Statistics

Topics: 

  • Number
  • Space
  • Measurement
  • Probability
  • Statistics

Skills:

  • In a range of contexts, students will be required to solve problems and model situations which require them to select and carry a logical sequence of steps to solve a problem.
  • Report writing and decision making based on evidence communicating findings, evaluating and discussing the validity of findings, using appropriate displays and technology.
  • Students investigate why and how mathematical concepts are combined. It will include statistical and probability investigations, alongside number, measurement, and geometry investigations based on scenarios within our community.

Year 11:  Mathematics, Statistics and Skills

Topics: 

  • Number
  • Measurement
  • Statistics 
  • Numeracy

Skills:

  • In a range of contexts, students will be required to solve problems and model situations which require them to select and carry a logical sequence of steps to solve a problem.
  • Students will cover the content required for the numeracy co-requisite as well as further developing their statistical knowledge through the enquiry process.
Year 12: Mathematics

Year 12 Mathematics with Statistics

Topics: 

  • Design a Questionnaire
  • Experiment
  • Inference
  • Simulations
  • Networks
  • Probability

Skills:

  • This course has a focus on communication, with report writing a major part of each topic. 
  • Students will develop their understanding of the big ideas of statistics. These include developing a purpose through contextual knowledge and research, understanding uncertainty, representation through sampling, inferring about a population, and more.

Year 12 Mathematics with Calculus

Topics:

  • Algebra
  • Calculus
  • Sequences and Series
  • Coordinate Geometry
  • Systems of Equations
  • Trigonometry

Skills:

  • Students focus on manipulating algebraic expressions and developing a sound understanding of the application of Algebra, Graphs and Calculus and the connection between them.
  • Students gain fluency in their algebraic skills and extend their abstract thinking and calculus methods across the Mathematical curriculum in a wide range of applications.

Year 12 Financial Literacy

Topics:

  • Budgeting
  • Renting
  • Banking
  • Insurance
  • Taxation

Skills:

  • Students focus on mathematical skills needed in the community and in the workplace, with an emphasis on improving their vocational mathematical knowledge.
  • Students develop financial understanding and personal financial capability, learning how to set realistic goals and manage their time effectively.

 

 

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
  • Statistical reports
  • Experiments
  • Inference

Skills: 

  • Understanding of patterns observed in real life data.
  • Making sense of data and relating findings to research.
  • Statistical modelling and decision making.

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:

  • Algebraic ManipulationTrigonometry
  • Linear Programming
  • Linear Systems
  • Differentiation
  • Integration

Skills:

  • Forming and solving algebraic models to solve problems.
  • Apply linear programming and linear system strategies.
  • Apply abstract thinking and calculus methods.

Year 13 Mathematics Scholarship

Scholarship is externally assessed. It is designed to extend the very best students and to financially reward accelerant students who are going on to tertiary study. It is not a qualification. There are different levels of monetary awards.
Students sitting Scholarship will be assessed on their ability to think laterally and in the abstract. The examinations generally cover the same knowledge and skills as Level 3 Achievement Standards, but the standard of performance required is much higher.

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