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
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 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 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 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 2 Mathematical Methods
The algebra section of this unit focuses on exponentials and logarithms. Their graphs are examined and their applications in a wide range of settings are explored. Arithmetic and geometric sequences are introduced and their applications are studied. Rates …
Unit 2 | 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 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 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 …
Unit 2 | 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 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
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
Representation of General capabilities English
General capabilities covered in English include: Literacy, Numeracy, Information and communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding and Intercultural understanding. Literacy Literacy …
Representation of General capabilities | English | English | Senior secondary curriculum
Representation of General capabilities English as an Additional Language or Dialect
General capabilities covered in EAL/D include: Literacy, Numeracy, Information and communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding and Intercultural understanding. Literacy Literacy …
Representation of General capabilities | English as an Additional Language or Dialect | English | Senior secondary curriculum
Representation of General capabilities Essential English
General capabilities covered in Essential English include: Literacy, Numeracy, Information and communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding and Intercultural understanding. Literacy Literacy …
Representation of General capabilities | Essential English | English | Senior secondary curriculum
Representation of General capabilities Literature
General capabilities covered in Literature include: Literacy, Numeracy, Information and communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding and Intercultural understanding. Literacy Literacy …
Representation of General capabilities | Literature | English | Senior secondary curriculum
Rationale English
Rationale English focuses on developing students’ analytical, creative and critical thinking and communication skills in all language modes. It encourages students to engage with texts from their contemporary world, with texts from the past and with texts …
Rationale | English | English | Senior secondary curriculum
Representation of General capabilities Essential Mathematics
The seven general capabilities of Literacy, Numeracy, Information and Communication Technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding, and Intercultural understanding are identified where …
Representation of General capabilities | Essential Mathematics | Mathematics | Senior secondary curriculum
Representation of General capabilities General Mathematics
The seven general capabilities of Literacy, Numeracy, Information and Communication Technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding, and Intercultural understanding are identified where …
Representation of General capabilities | General Mathematics | Mathematics | Senior secondary curriculum
Representation of General capabilities Mathematical Methods
The seven general capabilities of Literacy, Numeracy, Information and Communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding, and Intercultural understanding are identified where …
Representation of General capabilities | Mathematical Methods | Mathematics | Senior secondary curriculum