ACMMM118
establish and use the formulas, \(\int\sin xdx=-\cos x+c\) and \(\int\cos xdx=\sin x+c\)
ACMMM118 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM122
determine \(f\left(x\right),\) given \(f^{'\;}(x)\;\) and an initial condition \(f\left(a\right)=b\)
ACMMM122 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM151
define logarithms as indices: \(a^x=b\) is equivalent to \(x=\log_ab\) i.e. \(a^{\log_ab}=b\)
ACMMM151 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM153
recognise the inverse relationship between logarithms and exponentials: \(y=a^x\) is equivalent to \(x=\log_ay\)
ACMMM153 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM160
recognise and use the inverse relationship of the functions \(y=e^x\) and \(y=\ln x\)
ACMMM160 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM118
establish and use the formula \(\int\frac1xdx=\ln{\;\vert x\;\vert}+c\) for x ≠ 0
ACMSM118 | Content Descriptions | Unit 4 | Specialist 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
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
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 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
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
Structure of English English
Units In Unit 1 students explore how meaning is communicated through the relationships between language, text, purpose, context and audience. This includes how language and texts are shaped by their purpose, the audiences for whom they are intended and …
Structure of English | English | English | Senior secondary curriculum
Language table English as an Additional Language or Dialect
Key language skills for EAL/D The key language skills described below provide a focus for language instruction in any unit at students’ point of need and should be taught in context and if relevant. Students should be given the opportunity to develop …
Language table | English as an Additional Language or Dialect | English | Senior secondary curriculum
Structure of Essential English Essential English
Units Unit 1 focuses on students comprehending and responding to the ideas and information presented in texts drawn from a range of contexts. Students are taught a variety of strategies to assist comprehension. They read, view and listen to texts to connect, …
Structure of Essential English | Essential English | English | Senior secondary curriculum
Structure of Literature Literature
Units Unit 1 develops students’ knowledge and understanding of different ways of reading and creating literary texts drawn from a widening range of historical, social, cultural and personal contexts. Students analyse the relationships between language, …
Structure of Literature | Literature | English | 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 Modern History Modern History
Units In Modern History, students study the forces that have shaped the modern world and develop a broader and deeper comprehension of the world in which they live. The Modern History curriculum consists of four units. For each unit there are five to …
Structure of Modern History | Modern History | Humanities and Social Sciences | Senior secondary curriculum
ACMMM014
recognise features of the graphs of \(y=x^n\) for \(n\in\boldsymbol N,\) \(n=-1\) and \(n=½\), including shape, and behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)
ACMMM014 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum