## Year 11

### Applications

Prerequisite: C grade in Year 10 Mathematics

Mathematics Applications is an ATAR course which 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 questions that involve analysing univariate and bivariate data, including time series data.

### Unit 1

This unit involves consumer arithmetic, reviews concepts of rate and percentage change in the context of earning and managing money and using spread sheets. Students will use algebra and matrices in real life contexts. Shape and measurement involves concept of similarity and involves calculations with simple and compound geometric shapes.

### Unit 2

This unit examines univariate data analysis and statistical investigations will develop students’ ability to summarise univariate data. Students examine applications of trigonometry to solve non-right angled triangles in both two and three dimensions, elevation, depression and bearings in navigation. This unit includes Linear equations and their graphs, as well as linear-piecewise and step graphs to model practical situations.

### Methods

Prerequisite: B grade in Year 10 Mathematics

Mathematical Methods is an ATAR course which 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 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.

### Unit 1

This unit involves key concepts of a function and its graph. It includes the study of probability and statistics with the introduction of conditional probability and independence. Students will examine the study of trigonometric functions beginning with the unit circle and the trigonometry of triangles and its applications, degrees and radians.

### Unit 2

This unit introduces exponential functions and their properties and graphs. Arithmetic and geometric sequences are examined with recursive definitions applied. Rates and average rates of change are introduced followed by the concept of derivative as as instantaneous rate of change. This first calculus topic concludes with derivatives of polynomial functions, sketching and calculating slopes and equations of tangents, determine velocities and solve optimisation problems.

## Year 12

### Applications

An ATAR course which 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 questions that involve analysing univariate and bivariate data, including time series data.

### Methods

An ATAR course which 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.