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Representation of Cross-curriculum priorities

The senior secondary Mathematics curriculum values the histories, cultures, traditions and languages of Aboriginal and Torres Strait Islander peoples’ past and ongoing contributions to contemporary Australian society and culture. Through the study of …

Representation of Cross-curriculum priorities | Mathematics | Senior secondary curriculum

Senior secondary Mathematics subjects

The Senior Secondary Australian Curriculum: Mathematics consists of four subjects in mathematics, with each subject organised into four units. The subjects are differentiated, each focusing on a pathway that will meet the learning needs of a particular …

Senior secondary Mathematics subjects | Mathematics | Senior secondary curriculum

Unit 1 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems relating to calculations, applications of measurement, the use of formulas to find an unknown quantity, and the interpretation of graphs. Teachers are encouraged …

Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 1 Specialist Mathematics

Unit 1 of Specialist Mathematics contains three topics – ‘Combinatorics’, ‘Vectors in the plane’ and ‘Geometry’ – that complement the content of Mathematical Methods. The proficiency strand, Reasoning, of the F–10 curriculum is continued explicitly in …

Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Unit 2 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to representing and comparing data, percentages, rates and ratios, the mathematics of finance, and time and motion. Teachers are encouraged to apply the …

Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 3 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to measurement, scales, plans and models, drawing and interpreting graphs, and data collection. Teachers are encouraged to apply the content of the four …

Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 4 Essential Mathematics

This unit provides students with the mathematical skills and understanding to solve problems related to probability, Earth geometry and time zones, and loans and compound interest. Teachers are encouraged to apply the content of the three topics in this …

Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum

Overview of the senior secondary Australian Curriculum

ACARA has developed a senior secondary Australian Curriculum for English, Mathematics, Science and Humanities and Social Sciences.  The senior secondary Australian Curriculum specifies content and achievement standards for each senior secondary subject. …

Overview of the senior secondary Australian Curriculum | Mathematics | Senior secondary curriculum

Unit 4 General Mathematics

This unit has three topics: ‘Time series analysis’; ‘ Loans, investments and annuities’ and ‘Networks and decision mathematics’. ‘Time series analysis’ continues students’ study of statistics by introducing them to the concepts and techniques of time …

Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 3 Specialist Mathematics

Unit 3 of Specialist Mathematics contains three topics: ‘Vectors in three dimensions’, ‘Complex numbers’ and ‘Functions and sketching graphs’. The study of vectors was introduced in Unit 1 with a focus on vectors in two-dimensional space. In this unit, …

Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Unit 2 Specialist Mathematics

Unit 2 of Specialist Mathematics contains three topics – ‘Trigonometry’, ‘Real and complex numbers’ and ‘Matrices’… ‘Trigonometry’ contains techniques that are used in other topics in both this unit and Unit 3. ‘Real and complex numbers’ provides a continuation …

Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Unit 2 General Mathematics

This unit has three topics: ‘Univariate data analysis and the statistical investigation process’, ‘Linear equations and their graphs’; and ‘Applications of trigonometry’. ‘ Univariate data analysis and the statistical investigation process’ develops students’ …

Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 4 Specialist Mathematics

Unit 4 of Specialist Mathematics contains three topics: ‘Integration and applications of integration’, ‘Rates of change and differential equations’ and ‘Statistical inference’. In Unit 4, the study of differentiation and integration of functions continues, …

Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Unit 1 General Mathematics

This unit has three topics: ‘Consumer arithmetic’, ‘Algebra and matrices’, and ‘Shape and measurement’. ‘Consumer arithmetic’ reviews the concepts of rate and percentage change in the context of earning and managing money, and provides a fertile ground …

Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 3 General Mathematics

This unit has three topics: ‘Bivariate data analysis’, ‘Growth and decay in sequences’ and ‘Graphs and networks’. ‘Bivariate data analysis’ introduces students to some methods for identifying, analysing and describing associations between pairs of variables, …

Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

Links to Foundation to Year 10 General Mathematics

The General Mathematics subject provides students with a breadth of mathematical and statistical experience that encompasses and builds on all three strands of the F-10 curriculum.

Links to Foundation to Year 10 | General Mathematics | Mathematics | Senior secondary curriculum

Structure of Essential Mathematics Essential Mathematics

Essential Mathematics has four units each of which contains a number of topics. It is intended that the topics be taught in a context relevant to students’ needs and interests. In Essential Mathematics, students use their knowledge and skills to investigate …

Structure of Essential Mathematics | Essential Mathematics | Mathematics | Senior secondary curriculum

Unit 3 Mathematical Methods

In this unit the study of calculus continues with the derivatives of exponential and trigonometric functions and their applications, together with some differentiation techniques and applications to optimisation problems and graph sketching. It concludes …

Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 4 Mathematical Methods

The calculus in this unit deals with derivatives of logarithmic functions. In probability and statistics, continuous random variables and their applications are introduced and the normal distribution is used in a variety of contexts. The study of statistical …

Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 1 Mathematical Methods

This unit begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are …

Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

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