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
ACMMM106
apply the product, quotient and chain rule to differentiate functions such as \(xe^x\), \(\tan x,\), \(\frac1{x^n}\), \(x\sin x,\text{ }e^{-x}\sin x\) and \(f(ax+b)\)
ACMMM106 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM037
examine amplitude changes and the graphs of \(y=a\sin x\) and \(y=a\cos x\)
ACMMM037 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM036
recognise the graphs of \(y=\sin x,\;y=\cos x,\) and \(y=\tan x\) on extended domains
ACMMM036 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM098
use and apply the notation \(\left|x\right|\) for the absolute value for the real number \(x\) and the graph of \(y=\left|x\right|\)
ACMSM098 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMMM039
examine phase changes and the graphs of \(y=\sin{(x+c)}\), \(y=\cos{(x+c)}\) and \(y=\tan{(x+c)}\) and the relationships \(\sin\left(x+\frac\pi2\right)=\cos x\) and \(\cos\left(x-\frac\pi2\right)=\sin x\)
ACMMM039 | Content Descriptions | Unit 1 | Mathematical Methods | 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
Structure of English as an Additional Language or Dialect English as an Additional Language or Dialect
Units 1–4 Unit 1 focuses on investigating how language and culture are interrelated and expressed in a range of contexts. A variety of oral, written and multimodal texts are used to develop understanding of text structures and language features. The relationship …
Structure of English as an Additional Language or Dialect | English as an Additional Language or Dialect | English | 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
Rationale/Aims Earth and Environmental Science
Rationale Earth and Environmental Science is a multifaceted field of inquiry that focuses on interactions between the solid Earth, its water, its air and its living organisms, and on dynamic, interdependent relationships that have developed between these …
Rationale/Aims | Earth and Environmental Science | Science | Senior secondary curriculum
Rationale/Aims Ancient History
Rationale The Ancient History curriculum enables students to study life in early civilisations based on the analysis and interpretation of physical and written remains. The ancient period, as defined in this curriculum, extends from the development of …
Rationale/Aims | Ancient History | Humanities and Social Sciences | Senior secondary curriculum
Rationale/Aims Modern History
Rationale The Modern History curriculum enables students to study the forces that have shaped today’s world and provides them with a broader and deeper comprehension of the world in which they live. While the focus is on the 20th century, the curriculum …
Rationale/Aims | Modern History | Humanities and Social Sciences | 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
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
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
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
Structure of Ancient History Ancient History
Units In Ancient History, students study the key institutions, structures and features of ancient societies and develop a broader and deeper comprehension of the origins, impact and legacy of ideas, beliefs and values of the ancient world. The Ancient …
Structure of Ancient History | Ancient History | Humanities and Social Sciences | Senior secondary curriculum
Structure of Geography Geography
Units In Senior Secondary Geography, students develop their understanding about themes of immediate relevance to them and which have scope for application at a variety of scales, from the local to the global. There are four units: Unit 1: Natural and …
Structure of Geography | Geography | Humanities and Social Sciences | Senior secondary curriculum