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ACMSM131

examine slope (direction or gradient) fields of a first order differential equation

ACMGM043

construct and analyse a straight-line graph to model a given linear relationship; for example, modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.

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

ACSBL110

Homeostasis involves a stimulus-response model in which change in external or internal environmental conditions is detected and appropriate responses occur via negative feedback; in vertebrates, receptors and effectors are linked via a control centre …

ACSPH026

The nuclear model of the atom describes the atom as consisting of an extremely small nucleus, which contains most of the atom’s mass and is made up of positively charged protons and uncharged neutrons surrounded by negatively charged electrons

ACSPH141

The Standard Model is based on the premise that all matter in the universe is made up from elementary matter particles called quarks and leptons; quarks experience the strong force, leptons do not

ACSPH142

The Standard Model explains three of the four fundamental forces (strong, weak and electromagnetic forces) in terms of an exchange of force-carrying particles called gauge bosons; each force is mediated by a different type of gauge boson

ACMGM016

use matrices, including matrix products and powers of matrices, to model and solve problems; for example, costing or pricing problems, squaring a matrix to determine the number of ways pairs of people in a communication network can communicate with each …

ACMGM047

interpret piece-wise linear and step graphs used to model practical situations; for example, the tax paid as income increases, the change in the level of water in a tank over time when water is drawn off at different intervals and for different periods …

ACMSM127

use numerical integration using technology \(f\left(t\right)=\lambda e^{-\lambda t}\) for \(t\geq0\) of the exponential random variable with parameter \(\lambda>0,\), and use the exponential random variables and associated probabilities and quantiles …

ACSBL029

Models of ecosystem interactions (for example, food webs, successional models) can be used to predict the impact of change and are based on interpretation of and extrapolation from sample data (for example, data derived from ecosystem surveying techniques); …

ACSPH140

On the atomic level, energy and matter exhibit the characteristics of both waves and particles (for example, Young’s double slit experiment is explained with a wave model but produces the same interference pattern when one photon at a time is passed through …

ACEEA125

using teacher editing and conferencing including editing for word order, articles, prepositions and simple tenses.

ACMGM075

use a general first-order linear recurrence relation to generate the terms of a sequence and to display it in both tabular and graphical form

ACSCH133

Designing chemical synthesis processes includes identifying reagents and reaction conditions in order to maximise yield and purity of product

ACMGM076

recognise that a sequence generated by a first-order linear recurrence relation can have a long term increasing, decreasing or steady-state solution

ACHMH186

An overview, as background, of the nature of the world order at the end of World War II, colonialism in the Eastern communist bloc and Western capitalist bloc, and the emerging role of the United Nations

ACHMH191

The changing nature of world order in the period 1989-2010, for example the peaceful reunification of Germany, the US as superpower, the exercise of military power, and economic influence

ACMGM070

use arithmetic sequences to model and analyse practical situations involving linear growth or decay; for example, analysing a simple interest loan or investment, calculating a taxi fare based on the flag fall and the charge per kilometre, or calculating …

ACMGM074

use geometric sequences to model and analyse (numerically, or graphically only) practical problems involving geometric growth and decay; for example, analysing a compound interest loan or investment, the growth of a bacterial population that doubles in …

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