Mathematics

Acting co-HODs
Paul Khouri (Y11-13)
Caroline Towell (Y7-10)

"The book of nature is written in the language of Mathematics." Galileo

Mathematics is the study of patterns and relationships to help explain the world around us.  We want you to discover and explore many different mathematical ideas in a range of different ways.

Year 7 and 8

As well as developing and maintaining your mathematical skills, you will expand your thinking skills through problem-solving activities, such as the University of Otago Problem Challenge and World of Mathematics activities. Creativity and curiosity are encouraged through your approach to mathematical challenges.

Mathematics classes are grouped according to current levels of confidence in mathematical concepts. Extension activities are available to challenge our enthusiastic and able mathematicians.

All students are enrolled in online Mathematics and offered the opportunity of entering national competitions, such as ICAS.

Year 9

Learning is varied and involves collaborative group work, investigations, projects and online skills’ practice. You will have the opportunity to enter national competitions, such as ICAS and the Australian Mathematics Competition. In class, we group you according to your current level of mathematical achievement. This enables us to offer invigorating extension work to those who thrive on mathematical challenges, as well as strong levels of support for those who find it more difficult. Our top achieving Year 9 students may complete a few NCEA Level 1 assessments during the year as part of the extension programme. Entry into this programme is by invitation.

Year 10

Year 10 offers many opportunities to expand your thinking skills through collaborative problem-solving activities. You will tackle a variety of mathematical problems to develop your logic and reasoning skills through flipped learning, collaborative group work, investigations, projects and online skill practice.

This course is not only about the acquisition of concepts and skills but also the application of these to practical problems. You can be creative in the way you apply your knowledge and you are encouraged to think critically about your methods and approaches. You will have the opportunity to enter national competitions, such as ICAS and the Australian Mathematics Competition.

Our aim is to develop confident and independent mathematicians who enjoy problem-solving. Those who thrive on mathematical challenges have the opportunity to engage in invigorating extension work and there are strong levels of support for those who find mathematics more difficult. All Year 10 students begin working towards the achievement of the NCEA numeracy credits. Our top performing Year 10 students are invited to complete NCEA Level 1 Mathematics. Entry into this programme is by invitation.

Year 11

This course is not only about the acquisition of mathematical concepts and skills but also the application of these to practical problems. You can be creative in the way you apply your knowledge and are encouraged to think critically about your methods and approaches. While there is an emphasis on the development and maintenance of your existing skills, you are given many opportunities to apply these to a range of extended questions.

Flipped learning, collaborative group work, investigations and projects, as well as online skills practice, contribute to your mathematical learning. We encourage you to enter national competitions, such as ICAS and the Australian Mathematics Competition. Students are grouped according to their mathematical achievement. This enables us to offer invigorating extension work to those who thrive on mathematical challenges, as well as strong levels of support for those who find mathematics more difficult. A minimum of 17 credits, with at least a Merit grade in Algebra is a prerequisite for entry into the full NCEA Level 2 course.

Year 12 and 13 (Option)

Mathematics teaches students to think creatively, critically, strategically, and logically. Students learn to structure and to organise, to carry out procedures flexibly and accurately, to process and communicate information, and to enjoy intellectual challenge.

Year 12
A large proportion of students take Mathematics at Year 12 and, should numbers allow, we have two courses available: NCEA Level 2 (full); NCEA Level 2 Applied Mathematics.

The Full NCEA Level 2 course covers a diverse range of topics within Mathematics. While much of the work is of an abstract nature, you have ample opportunities to develop problem-solving and investigative skills. Building on communication skills from Year 11, you will start to appreciate the beauty of abstract mathematics. The prerequisite for entry to this programme is 17 credits from NCEA Level 1, with algebra at merit level. This course is the basis for the study of Level 3 Calculus and/or Level 3 Statistics. You need to obtain a minimum of 18 Level 2 Mathematics credits to enter Level 3.

The NCEA Level 2 Applied Mathematics course is a targeted programme designed specifically for students who wish to continue the study of mathematics but who may have difficulty with some of the complexities of the full Level 2 programme. The emphasis of the course is on providing you with various mathematical and logical thinking skills but may not cover extended abstract thinking. With 14 credits, including probability and informal inferences, you may continue on to Level 3 Statistics from this course, but not Level 3 Calculus. Entry to this course is made in consultation with the Head of Mathematics.

Year 13
Mathematics and Statistics split into two distinct subjects in Year 13. Mathematics (Calculus)is the exploration and use of patterns and relationships in quantities, space and time. Statistics is the exploration and use of patterns and relationships in data. These two disciplines are related but focus on different ways of thinking and of solving problems. Both equip students with effective means for investigating, interpreting, explaining, and making sense of the world in which they live.

Calculus
This course is designed for students interested in pursuing Mathematics to a higher level or interested in studying an Applied Science, Engineering, Computer Science, Finance or Technology at university. It is also useful for students interested in careers in commerce, or in any field where analysis is important. Strong algebraic skills are necessary throughout the course which covers differentiation, integration, complex numbers, trigonometry, simultaneous equations and linear programming.

Statistics
Given the importance of being able to understand and interpret data in a vast number of careers, it comes as no surprise that the study of statistics is required in many tertiary qualifications. Our ability to analyse data appropriately is crucial. The Level 3 Statistics course exposes students to two different strands of statistics: applied statistics and theoretical statistics.

Applied statistics is telling the story of data. It is about analysing and interpreting what the data means and critiquing the implications of it. In this course you encounter sampling techniques, statistical reports and statistical inference. Theoretical statistics involves the understanding of how statistical calculations are made, through probability methods, probability distributions and confidence intervals.

Technology is used extensively to analyse and form mathematical models for sets of data. In this course you are required to write full statistical reports and good language skills are an advantage.
Please feel free to contact us.