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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 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 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

Rationale General Mathematics

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 many aspects of the world in the twenty-first century. …

Rationale | General 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

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 Essential 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 used to describe much of the physical world. Statistics is the …

Rationale | 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 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

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

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

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

Representation of General capabilities Specialist 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 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMGM077

use first-order linear recurrence relations to model and analyse (numerically or graphically only) practical problems; for example, investigating the growth of a trout population in a lake recorded at the end of each year and where limited recreational …

ACMGM077 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMSM050

model periodic motion using sine and cosine functions and understand the relevance of the period and amplitude of these functions in the model.

ACMSM050 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMEM174

use technology and a recurrence relation to model a reducing balance loan

ACMEM174 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum

ACMGM057

model a linear relationship by fitting a least-squares line to the data

ACMGM057 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM058

use a residual plot to assess the appropriateness of fitting a linear model to the data

ACMGM058 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

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