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ACHAH331

The nature of Thucydides’ text and techniques, including his research methods, his use of speeches, and the extent to which he can be regarded as a ‘scientific historian’

ACHMH224

The development of post war peace movements, with particular reference to their objectives, methods and influence, for example disarmament in response to the Cold War, and the use of non-violence

use currency exchange rates to determine the cost in Australian dollars of purchasing a given amount of a foreign currency, such as US$1500, or the value of a given amount of foreign currency when converted to Australian dollars, such as the value of …

ACMGM012

use a spreadsheet or an equivalent technology to construct a table of values from a formula, including two-by-two tables for formulas with two variable quantities; for example, a table displaying the body mass index (BMI) of people of different weights …

ACMGM094

use a recurrence relation to model a compound interest loan or investment, and investigate (numerically or graphically) the effect of the interest rate and the number of compounding periods on the future value of the loan or investment

ACMGM103

use minimal spanning trees to solve minimal connector problems; for example, minimising the length of cable needed to provide power from a single power station to substations in several towns.

ACMGM110

use a bipartite graph and/or its tabular or matrix form to represent an assignment/ allocation problem; for example, assigning four swimmers to the four places in a medley relay team to maximise the team’s chances of winning

ACMMM079

use the notation $\frac{\delta y}{\delta x}$ for the difference quotient $\frac{f\left(x+h\right)-f(x)}h$ where $y=f(x)$

ACMMM083

use the Leibniz notation for the derivative: $\frac{dy}{dx}=\lim_{\mathit{δx}\rightarrow0}\frac{\delta y}{\delta x}$ and the correspondence $\frac{dy}{dx}=f'\left(x\right)$ where $y=f(x)$

ACMMM107

use the increments formula: $\delta y\cong\frac{dy}{dx}\times\delta x$ to estimate the change in the dependent variable $y$ resulting from changes in the independent variable $x$

ACMMM124

examine the area problem, and use sums of the form $\sum\nolimits_if\left(x_i\right)\;\delta x_i$ as area under the curve $y=f(x)$

ACMMM130

understand and use the theorem $F'\left(x\right)=\frac d{dx}\left(\int_a^xf\left(t\right)dt\right)=f\left(x\right)$, and illustrate its proof geometrically

ACMMM165

understand the concepts of a probability density function, cumulative distribution function, and probabilities associated with a continuous random variable given by integrals; examine simple types of continuous random variables and use them in appropriate …

ACMSM080

use the modulus $\left|z\right|$ of a complex number z and the argument $Arg\;(z)$ of a non-zero complex number $z$ and prove basic identities involving modulus and argument

ACSBL123

In vertebrates, immunity may be passive (for example, antibodies gained via the placenta or via antibody serum injection) or active (for example, acquired through actions of the immune system as a result of natural exposure to a pathogen or through the …

ACSCH111

Electrolytic cells use an external electrical potential difference to provide the energy to allow a non-spontaneous redox reaction to occur, and can be used in small-scale and industrial situations

ACHAH360

The nature and purpose of Tacitus’ writing of The Annals, including his use of contemporary sources (the minutes of the Senate, decrees, speeches of Tiberius) and the limitations of Tacitus’ work related to the missing and incomplete nature of Books V, …

ACHMH034

The main causes of the Industrial Revolution in the second half of the 18th century as debated by historians, including the invention of new technologies and use of coal and iron; population increase; European imperialism and the capital accumulated from …

ACHMH118

The nature and scope of America’s war effort in Europe, Asia and the Pacific (1941-1945), including the reasons for US involvement in World War II, and the decision to use the atomic bomb

ACEEE048

the use of mediums, types of texts, text structures and language features; for example, subjective and objective reporting in feature articles and current affairs programs, appeals to reason and emotion in persuasive texts and juxtaposition of images …

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