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Structure of Chemistry Chemistry

Units In Chemistry, students develop their understanding of chemical systems, and how models of matter and energy transfers and transformations can be used to describe, explain and predict chemical structures, properties and reactions. There are four …

Structure of Chemistry | Chemistry | Science | Senior secondary curriculum

Structure of Earth and Environmental Science Earth and Environmental Science

Units In Earth and Environmental Science, students develop their understanding of the ways in which interactions between Earth systems influence Earth processes, environments and resources. There are four units: Unit 1: Introduction to Earth systems Unit …

Structure of Earth and Environmental Science | Earth and Environmental Science | Science | Senior secondary curriculum

Structure of Physics Physics

Units In Physics, students develop their understanding of the core concepts, models and theories that describe, explain and predict physical phenomena. There are four units: Unit 1: Thermal, nuclear and electrical physics Unit 2: Linear motion and waves Unit …

Structure of Physics | Physics | Science | 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

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

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 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 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

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

ACMGM082

apply Euler’s formula, \(v+f-e=2\), to solve problems relating to planar graphs.

ACMGM082 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMMM021

recognise features of the graph of \(y^2=x\) including its parabolic shape and its axis of symmetry.

ACMMM021 | Content Descriptions | Unit 1 | Mathematical Methods | 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

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