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 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 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 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
Units 1 and 2 Essential Mathematics Achievement Standard
demonstrates knowledge of concepts of measurement, financial mathematics and statistics in routine and non-routine problems in a variety of contexts selects and applies techniques in measurement, financial mathematics and statistics to solve routine …
Units 1 and 2 | Achievement Standards | Essential Mathematics | Mathematics | Senior secondary curriculum
Units 1 and 2 General Mathematics Achievement Standard
demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics, in routine and non-routine problems in a variety of contexts selects and applies techniques in mathematics and …
Units 1 and 2 | Achievement standards | General Mathematics | Mathematics | Senior secondary curriculum
Units 1 and 2 Mathematical Methods Achievement Standard
demonstrates knowledge of concepts of functions, calculus and statistics in routine and non-routine problems in a variety of contexts selects and applies techniques in functions, calculus and statistics to solve routine and non-routine problems in a …
Units 1 and 2 | Achievement standards | Mathematical Methods | Mathematics | Senior secondary curriculum
Units 1 and 2 Specialist Mathematics Achievement Standard
demonstrates knowledge and understanding of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers in routine and non-routine problems in a variety of contexts synthesises information to select and apply techniques …
Units 1 and 2 | Achievement standards | Specialist 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
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 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
ACMMM020
recognise features of the graphs of \(x^2+y^2=r^2\) and \(\left(x-a\right)^2+\left(y-b\right)^2=r^2\), including their circular shapes, their centres and their radii
ACMMM020 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM121
integrate expressions of the form \(\frac{\pm1}{\sqrt[{}]{a^2-x^2}}\) and \(\frac a{a^2+x^2}\)
ACMSM121 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM063
prove irrationality by contradiction for numbers such as \(\sqrt[{}]2\) and \(\log_25\)
ACMSM063 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMMM011
recognise features of the graph of the general quadratic \(y=ax^2+bx+c\)
ACMMM011 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM067
define the imaginary number i as a root of the equation \(x^2=-1\)
ACMSM067 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMMM007
recognise features of the graphs of \(y=x^2\), \(y=a{(x-b)}^2+c\), and \(y=a\left(x-b\right)\left(x-c\right)\) including their parabolic nature, turning points, axes of symmetry and intercepts
ACMMM007 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum