Search

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

ACMEM102

recognise relations between volume and capacity, recognising that \(1\mathrm c\mathrm m^3=1\mathrm m\mathrm L\) and \(1\mathrm m^3=1\mathrm k\mathrm L\)

ACMMM116

establish and use the formula \(\int x^ndx=\frac1{n+1}x^{n+1}+c\) for \(n\neq-1\)

ACHAH031

The methods and results of scientific analysis (forensic techniques) and modern preservation of the remains

ACMMM099

recognise that \(e\) is the unique number \(a\) for which the above limit is 1

ACMSM067

define the imaginary number i as a root of the equation \(x^2=-1\)

ACSES022

The modern atmosphere has a layered structure characterised by changes in temperature: the troposphere, mesosphere, stratosphere and thermosphere

The historical context of the interpretations and representations and why these have changed, for example romantic representations, Christian interpretations, and modern versions of gladiatorial contests

ACMMM068

recognise and use the recursive definition of an arithmetic sequence: \(t_{n+1}=t_n+d\)

ACMMM072

recognise and use the recursive definition of a geometric sequence:\(t_{n+1}=rt_n\)

ACMSM101

review the concepts of vectors from Unit 1 and extend to three dimensions including introducing the unit vectors i, j and k.

ACSCH028

Nanomaterials are substances that contain particles in the size range 1–100 nm and have specific properties relating to the size of these particles

ACMMM178

use the approximate confidence interval \(\left(\widehat p-z\sqrt[{}]{(\widehat p(1-\widehat p)/n},\;\;\widehat p+z\sqrt[{}]{(\widehat p(1-\widehat p)/n}\right),\) as an interval estimate for \(p\), where \(z\) is the appropriate quantile for the standard …

ACHAH068

The reliability and contestability of interpretations and representations of Alexander in ancient and modern written sources, images and film, including the significance of source selection, omission, emphasis and gaps in evidence

ACMMM053

review the probability scale: \(0\leq P(A)\leq1\) for each event \(A,\) with \(P\left(A\right)=0\) if \(A\) is an impossibility and \(P\left(A\right)=1\) if \(A\) is a certaint

ACMSM116

integrate using the trigonometric identities \(\mathrm s\mathrm i\mathrm n^2x=\frac12(1-\mathrm c\mathrm o\mathrm s\;2x)\), \(\mathrm c\mathrm o\mathrm s^2x=\frac12(1+\mathrm c\mathrm o\mathrm s\;2x)\) and \(1+\;\mathrm t\mathrm a\mathrm n^2x=\mathrm …

ACHAH057

The historical context of the interpretations and representations of the ‘fall’ of the Roman Empire and why these have changed over time, for example the importance of the Pagan versus Christian interpretations of events at the time and various modern …

ACHAH061

The different interpretations and representations of the games (from the ancient past to the present), including the cruelty of the gladiatorial games (Seneca and Christians), the political nature of the games as ‘bread and circuses’, the role of blood …

ACHAH071

The different interpretations and representations of Cleopatra (from the ancient past to the present), including how Cleopatra represented herself in monuments and inscriptions; her portrayals as the enemy of Rome, a femme fatale, the saviour of Egypt, …

ACHAH082

The historical context of the interpretations and representations of the Celts and why these have changed over time, for example Ancient Roman interpretations, modern imperialist and nationalistic propaganda, Celtic cultural legacy (art, music, language …

Curriculum Types

Curriculum Elements Types

General Capabilities