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
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
Links to Foundation to Year 10 Essential Mathematics
For all content areas of Essential Mathematics, the proficiency strands of Understanding, Fluency, Problem solving and Reasoning from the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. Each …
Links to Foundation to Year 10 | Essential Mathematics | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Mathematical Methods
In Mathematical Methods, there is a strong emphasis on mutually reinforcing proficiencies in Understanding, Fluency, Problem solving and Reasoning. Students gain fluency in a variety of mathematical and statistical skills, including algebraic manipulations, …
Links to Foundation to Year 10 | Mathematical Methods | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Specialist Mathematics
For all content areas of Specialist Mathematics, the proficiency strands of the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. The strands of Understanding, Fluency, Problem solving and Reasoning …
Links to Foundation to Year 10 | Specialist 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
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 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
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
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 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
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
ACMSM065
prove results for sums, such as \(1+4+9\dots+n^2=\frac{n(n+1)(2n+1)}6\) for any positive integer n
ACMSM065 | 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
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 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