Style: Accordion

### Mathematics Specialist (ATAR)

Mathematics Specialist contains concepts that build on, deepen and apply the ideas presented in the Mathematics Methods course. This course provides opportunities, beyond those presented in the Mathematics Methods ATAR course, to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively. Students eligible to select Mathematics Specialist will also study Mathematics Methods in conjunction.

Pre-requisite: Minimum of a B grade in Year 10 Mathematics Pathway 1A

Course Description

The Year 11 syllabus is divided into two units, each of one semester duration, which are typically delivered as a pair.

Organisation of content

Unit 1
1.1 Combinatorics
1.2 Vectors in the plane
1.3 Geometry

Unit 2
2.1 Trigonometry
2.2 Matrices
2.3 Real and complex numbers

### Mathematics Methods (ATAR)

This course focuses on the use of calculus and statistical analysis. The study of calculus provides a basis for understanding rates of change in the physical world, and includes the use of functions, their derivatives and integrals, in modelling physical processes. The study of statistics develops students’ ability to describe and analyse phenomena that involve uncertainty and variation. Mathematics Methods 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, this course is designed for students whose future pathways may involve mathematics and statistics and their applications in a range of disciplines at the tertiary level.

Pre-requisite: Minimum of a D grade in Mathematics Pathway 1A or A grade in Mathematics Pathway 1B

Course Description:

The Year 11 syllabus is divided into two units, each of one semester duration, which is typically delivered as a pair. The notional time for each unit is 55 class contact hours.

Organisation of content

Unit 1
1.1 Functions and graphs
1.2 Trigonometric functions
1.3 Counting and probability.

Unit 2
2.1 Exponential functions
2.2 Arithmetic and geometric sequences and series
2.3 Introduction to differential calculus.

### Mathematics Applications (ATAR)

This course 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.

Pre-requisite: Minimum of a 60% C grade in Mathematics Pathway 2

Course Description:

The Year 11 syllabus is divided into two units, each of one semester duration, which is typically delivered as a pair.

Organisation of content

Unit 1
1.1 Consumer arithmetic
1.2 Algebra and matrices
1.3 Shape and measurement.

Unit 2
2.1 Univariate data analysis and the statistical investigation process
2.2 Applications of trigonometry
2.3 Linear equations and their graphs.

### Mathematics Essential (General)

The Mathematics Essential General course focuses on using mathematics effectively, efficiently and critically to make informed decisions. It provides students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning and community settings.

Pre-requisite: nil

It is recommended that students who have not yet met competence in the OLNA numeracy testing seek the advice of their teacher in selecting either Mathematics Essentials or Foundations

Course Description

The Year 11 syllabus is divided into two units, each of one semester duration, which are typically delivered as a pair.

This course consists of the following topics:

Unit 1
1.1 Basic calculations, percentages and rates
1.2 Using formulas for practical purposes
1.3 Measurement
1.4 Graphs

Unit 2
2.1 Representing and comparing data
2.2 Percentages
2.3 Rates and ratios
2.4 Time and motion

### Mathematics Foundation (General)

This course is designed to support students to learn to use the mathematical decision-making processes they will need as adults. Students who meet the competence requirement for OLNA numeracy are not eligible to enrol in Foundation courses.

Pre-requisite: Have not met the OLNA numeracy requirement.

Typically, Mathematics Foundation will be selected by students exiting Mathematics Pathway 3.

Students who meet the OLNA numeracy requirements following the first round of testing in Year 11 will be transferred to Mathematics Essential.

Course Description:

The Year 11 syllabus is divided into two units, each of one semester duration, which are typically delivered as a pair.

Unit 1:

Provides students with the mathematical knowledge, understanding and skills to solve problems relating to addition and subtraction of numbers and money, length, mass, capacity and time, the extraction of information from, and the interpretation of, various simple forms of data used in everyday contexts.

Unit 2:

Extends the understanding and skills relating to fractions and decimals to solve problems relating to multiplication and division, perimeter, area and volume and qualitative probability from everyday contexts.