Mathematics

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Mathematics Faculty

Mathematics involves observing, representing and investigating patterns and relationships in social and physical phenomena and between mathematical objects themselves.

Mathematics is the science of patterns.
The mathematician seeks patterns in number, in space, in science, in computers, and in imagination.
Mathematical theories explain the relation between patterns…

Applications of mathematics use these patterns to explain and predict natural phenomena.' 

(National Statement on Mathematics for Australian Schools 1991 p4)

Many students study mathematics not because they want to be a mathematician, but because they realise the benefit that mathematics can have on a broader education.

Tertiary mathematical courses often assume some mathematical knowledge or explicitly require mathematical prerequisites for study in most tertiary degrees. These can include but are not limited to Commerce, Economics, Computer Science, Engineering, Finance, Information Technology, Actuarial Studies and Business Informatics.

Importantly, employers are recognising the benefit that students with mathematical studies can bring to their business.  Skills such as analytical thinking, structured and unstructured problem solving and ability to apply rules, formulae and ordered processes to contextual situations are becoming widely sought after and respected experiences.

Our tertiary courses can prepare students for life in the workforce and tertiary studies.

In 2016, Hawker College is transitioning to Australian Curriculum in Mathematics for students entering Year 11. This will not affect Year 12 students, who will complete their programs with the existing ACT BSSS courses. There are three Tertiary Mathematics Courses integrating Australian Curriculum and there is one A (non-tertiary) course. As of 2016, courses offered to Year 11 students as follows (updated course names as of 22 May 2015):

  • Mathematical Applications (T);
  • Mathematical Methods (T) – integrating Australian Curriculum;
  • Specialist Mathematics (T) – integrating Australian Curriculum;
  • Essential Mathematics (A) - equivalent of the former General Mathematics course, updated to integrate Australian Curriculum.

Mathematical Applications(T)

Mathematical Applications is designed for those students who want to extend their mathematical skills beyond Year 10 level but whose future studies or employment pathways do not require knowledge of calculus. The subject is designed for students who have a wide range of educational and employment aspirations, including continuing their studies at university or TAFE/CIT. More information can be found here: http://goo.gl/ZxAr4g

There are four units in the Mathematical Applications course that students typically study over a two year period.

 

Unit 1

Unit 2

Unit 3

Unit 4

Mathematical Applications integrating Australian Curriculum

Consumer arithmetic

Algebra and matrices

Shape and measurement

Univariate data analysis and the statistical investigation process

Applications of trigonometry

Linear equations and their graphs

Bivariate data analysis

Growth and decay in sequences

Graphs and networks

Time series analysis

Loans, investments and annuities

Networks and decision mathematics

Mathematical Methods (T)

The major themes of Mathematical Methods are calculus and statistics. They include as necessary prerequisites studies of algebra, functions and their graphs, and probability. They are developed systematically, with increasing levels of sophistication and complexity. Calculus is essential for developing an understanding of the physical world because many of the laws of science are relationships involving rates of change. Statistics is used to describe and analyse phenomena involving uncertainty and variation. For these reasons this subject provides a foundation for further studies in disciplines in which mathematics and statistics have important roles. It is also advantageous for further studies in the health and social sciences. In summary, the subject Mathematical Methods is designed for students whose future pathways may involve mathematics and statistics and their applications in a range of disciplines at the tertiary level. More information is available here: http://goo.gl/tNvZzy

There are four units in the Mathematical Methods course that students typically study over a two year period.

 

Unit 1

Unit 2

Unit 3

Unit 4

Mathematical

Methods

Functions and graphs

Trigonometric functions

Counting and probability

Exponential functions

 Arithmetic and geometric sequences and series

Introduction to differential calculus

 

Further differentiation and applications

Integrals

Discrete random variables

 

The logarithmic function

Continuous random variables and the normal distribution

Interval estimates for proportions

 

Specialist Mathematics (T)

Specialist Mathematics provides opportunities, beyond those presented in Mathematical Methods, to develop rigorous mathematical arguments and proofs, and to use mathematical and statistical models more extensively. Topics are developed systematically and lay the foundations for future studies in quantitative subjects in a coherent and structured fashion. Students of Specialist Mathematics will be able to appreciate the true nature of mathematics, its beauty and its functionality.

Specialist Mathematics has been designed to be taken in conjunction with Mathematical Methods. The subject contains topics in functions, calculus, probability and statistics that build on and deepen the ideas presented in Mathematical Methods and demonstrate their application in many areas. Vectors, complex numbers and matrices are introduced. Specialist Mathematics is designed for students with a strong interest in mathematics, including those intending to study mathematics, statistics, all sciences and associated fields, economics or engineering at university.

Specialist Mathematical Methods (SMM) is likely to be available for students intending to do Specialist Mathematics. This will be confirmed towards the end of 2015 (course writing is underway). 

More information can be found here: http://goo.gl/TgePQD

There are four units in the Specialist Mathematics course that students typically study over a two year period.

 

Unit 1

Unit 2

Unit 3

Unit 4

Specialist Mathematics

Combinatorics

Vectors in the plane

Geometry

Trigonometry

Matrices

Real and complex numbers

 

Complex numbers

Functions and sketching graphs

Vectors in three dimensions

 

Integration and applications of integration

Rates of change and differential equations

Statistical inference

 

Essential Mathematics (A)

(Equivalent of the former General Mathematics course, now integrating Australian Curriculum)

Essential Mathematics focuses on enabling students to use mathematics effectively, efficiently and critically to make informed decisions in their daily lives. Essential Mathematics provides students with the mathematical knowledge, skills and understanding to solve problems in real contexts, in a range of workplace, personal, further learning and community settings. This subject offers students the opportunity to prepare for post-school options of employment and further training. More information can be found here: http://goo.gl/DMJN6y

There are four units in the Essential Mathematics course that students typically study over a two year period.

 

Unit 1

Unit 2

Unit 3

Unit 4

Essential Mathematics

Calculations, percentages and rates

Measurement

Algebra

Graphs

Representing and comparing data

Percentages

Rates and ratios

Time and motion

Measurement

Scales, plans and models

Graphs

Data collection

Probability and relative frequencies

Earth geometry and time zones

Loans and compound interest

Unit Assessment Details

For assessment item names, due dates and weighting click here.

Course Outlines

Please refer to the Hawker College Course Handbook for course details.
Hawker College Course Handbook 2015 (PDF 1MB)
Hawker College Course Handbook 2016 (PDF 555.3KB)