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 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 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 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
Units 3 and 4 Essential Mathematics Achievement Standard
demonstrates knowledge of concepts of measurement, scales, graphs and statistics in routine and non-routine problems in a variety of contexts selects and applies techniques in measurement, scales, graphs and statistics to solve routine and non-routine …
Units 3 and 4 | Achievement Standards | Essential Mathematics | Mathematics | Senior secondary curriculum
Units 3 and 4 General Mathematics Achievement Standard
demonstrates knowledge of concepts of statistics, growth and decay in sequences, graphs and networks, and financial mathematics in routine and non-routine problems in a variety of contexts selects and applies techniques in mathematics and statistics …
Units 3 and 4 | Achievement standards | General Mathematics | Mathematics | Senior secondary curriculum
Units 3 and 4 Mathematical Methods Achievement Standard
demonstrates knowledge of concepts of functions, integration and distributions in routine and non-routine problems in a variety of contexts selects and applies techniques in functions, integration and distributions to solve routine and non-routine problems …
Units 3 and 4 | Achievement standards | Mathematical Methods | Mathematics | Senior secondary curriculum
Units 3 and 4 Specialist Mathematics Achievement Standard
demonstrates knowledge and understanding of concepts of functions, calculus, vectors and statistics in routine and non-routine problems in a variety of contexts synthesises information to select and apply techniques in mathematics to solve routine and …
Units 3 and 4 | Achievement standards | 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 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
Structure of Specialist Mathematics Specialist Mathematics
Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …
Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum
Rationale Specialist Mathematics
Rationale Mathematics is the study of order, relation and pattern. From its origins in counting and measuring it has evolved in highly sophisticated and elegant ways to become the language now used to describe much of the modern world. Statistics is concerned …
Rationale | Specialist Mathematics | Mathematics | Senior secondary curriculum
Rationale Mathematical Methods
Mathematics is the study of order, relation and pattern. From its origins in counting and measuring it has evolved in highly sophisticated and elegant ways to become the language now used to describe much of the modern world. Statistics is concerned with …
Rationale | Mathematical Methods | 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
Structure of General Mathematics General Mathematics
General Mathematics is organised into four units. The topics in each unit broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic, …
Structure of General Mathematics | General Mathematics | Mathematics | Senior secondary curriculum
Structure of Mathematical Methods Mathematical Methods
Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …
Structure of Mathematical Methods | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMEM102
recognise relations between volume and capacity, recognising that \(1\mathrm c\mathrm m^3=1\mathrm m\mathrm L\) and \(1\mathrm m^3=1\mathrm k\mathrm L\)
ACMEM102 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM017
recognise features of the graphs of \(y=x^3\), \(y=a{(x-b)}^3+c\) and \(y=k(x-a)(x-b)(x-c)\), including shape, intercepts and behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)
ACMMM017 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM066
prove divisibility results, such as \(3^{2n+4}-2^{2n}\) is divisible by 5 for any positive integer n.
ACMSM066 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM049
prove and apply other trigonometric identities such as \(\cos3\mathrm x=4\;\mathrm c\mathrm o\mathrm s^{3\;}\mathrm x-3\cos\mathrm x\)
ACMSM049 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum