In completing courses in Mathematics students should increase their mathematical skills and apply their knowledge to solve problems in a range of situations. Students will have the opportunity to develop confidence in the use of technology and their ability to communicate mathematical ideas effectively.
At the time of publication, the courses detailed below will be offered at St Francis Xavier College for 2019:
Contemporary Mathematics (A, M)
Essential Mathematics (A, M)
Mathematical Applications (T)
Mathematical Methods (T)
Specialist Methods (T)
Specialist Mathematics (T)
When deciding upon which course to study, you should consider:
The Australian Senior Secondary Curriculum Mathematics courses have been designed to be taken as sequential units that develop students’ understanding of mathematical concepts, increasing in levels of sophistication and complexity over the two years. The courses are complementary and there is almost no common content between courses.
For these reasons, it is important that students choose their courses carefully as it will no longer be possible to change courses after the first two weeks of a semester and be credited with a unit in Mathematics for that Semester. Changing courses at the semester break will still be possible, but will be more difficult as concepts introduced in previous units are assumed knowledge in later units and are developed further.
When selecting a Mathematics course for Years 11 and 12, students need to consider their level of achievement in Mathematics in Year 10, as well as the requirements of the courses and careers of interest to them. The following flowchart must be taken into consideration when choosing a Maths level of study.
Contemporary Mathematics integrating the Australian Curriculum (A, M)
The Contemporary Mathematics course aims to provide opportunities for students to gain the numeracy skills necessary to make a smooth transition to post-school options and to participate in society in a meaningful and effective manner. This level of mathematics assists students in the use of maths for everyday living.
Essential Mathematics integrating the Australian Curriculum (A)
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.
Mathematical Applications integrating the Australian Curriculum (T)
Mathematical Applications focuses on the use of mathematics to solve problems in contexts that involve financial modelling, geometric and trigonometric analysis, graphical and network analysis, and growth and decay in sequences. It also provides opportunities for students to develop systematic strategies based on the statistical investigation process for answering statistical questions that involve analysing univariate and bivariate data, including time series data.
Mathematical Methods integrating the Australian Curriculum (T)
The major themes of Mathematical Methods are calculus and statistics. 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. In developing calculus and statistical concepts, Mathematical Methods includes studies of algebra, functions and their graphs, and probability.
Specialist Methods integrating the Australian Curriculum (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 interested in the Specialist Mathematics Course as a single major course of study should select Specialist Methods for 2019. Students interested in Specialist Mathematics as a double major course of study should select Specialist Methods and Specialist Mathematics for 2019.
Specialist Mathematics integrating the Australian Curriculum (T)
Specialist Mathematics is designed for students with a strong interest in mathematics, including those intending to study mathematics, statistics, physical sciences and associated fields, actuarial studies, or engineering at university. Specialist Mathematics must be taken in conjunction with Specialist Methods. The subject contains topics in functions, calculus, probability and statistics that build on and deepen the ideas presented in Specialist Methods and demonstrate their application in many areas. Vectors, complex numbers and matrices are introduced.
Summary of Content of Mathematics Courses
Course | Unit 1 | Unit 2 | Unit 3 | Unit 4 |
Contemporary Mathematics (A/M) | · Income and Payroll Maths
· Workplace problem solving |
· Money Management and Consumer Maths
· Banking and Financial Planning |
· Managing Time
· Managing Money for Leisure and Recreation |
· Budgeting
· Tenancy |
Essential Mathematics (A/M) | · 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 |
Mathematical Applications (T) | · 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 |
Course | Unit 1 | Unit 2 | Unit 3 | Unit 4 |
Mathematical Methods
(T) |
· 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 Methods
(T) |
· Functions and graphs
· Trigonometric functions · Counting and probability |
· Exponential functions
· Arithmetic and geometric sequences and series · Introduction to differential calculus |
· The logarithmic function
· Further differentiation and applications · Integrals |
· Simple linear regression
· Discrete random variables · Continuous random variables and the normal distribution · Interval estimates for proportions |
Specialist Mathematics (T) | · 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 |