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ACHAH133

the use of technology in ancient times to access resources and control the environment

ACHMH042

The different forms of imperialism, including trade, exploitation of resources and strategic considerations

Producing, harvesting, transporting and processing of resources for consumption, and assimilating the associated wastes, involves the use of resources; the concept of an ‘ecological footprint’ is used to measure the magnitude of this demand

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 …

ACMGM077

use first-order linear recurrence relations to model and analyse (numerically or graphically only) practical problems; for example, investigating the growth of a trout population in a lake recorded at the end of each year and where limited recreational …

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 …

ACEEE036

gathering different points of view, for example, through interviews, surveys, questionnaires, library and/or internet resources

ACSES071

Non-renewable mineral and energy resources are formed over geological time scales so are not readily replenished

ACSES075

Extraction of mineral and energy resources influences interactions between the abiotic and biotic components of ecosystems, including hydrologic systems

ACSES079

The cost-effective use of renewable energy resources is constrained by the efficiency of available technologies to collect, store and transfer the energy

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 …

ACSES072

The location of non-renewable mineral and energy resources, including fossil fuels, iron ore and gold, is related to their geological setting (for example, sedimentary basins, igneous terrains)

ACSES074

The type, volume and location of mineral and energy resources influences the methods of extraction (for example, underground, open pit, onshore and offshore drilling and completion)

ACSES073

Mineral and energy resources are discovered using a variety of remote sensing techniques (for example, satellite images, aerial photographs and geophysical datasets) and direct sampling techniques (for example, drilling, core sampling, soil and rock sampling) …

ACSES077

Ecosystems provide a range of renewable resources, including provisioning services (for example, food, water, pharmaceuticals), regulating services (for example, carbon sequestration, climate control), supporting services (for example, soil formation, …

ACHAH161

The nature of power and authority at the beginning of the New Kingdom, including the social and political structure (role and status of pharaoh/royalty, nobility, scribes, artisans, agricultural workers; the nature and impact of Hyksos rule); religion …

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