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 …
ACMGM047 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM077 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMSM127 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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); …
ACSBL029 | Content Descriptions | Unit 1 | Biology | Science | Senior secondary curriculum
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 …
ACSPH140 | Content Descriptions | Unit 4 | Physics | Science | Senior secondary curriculum
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 …
ACMGM070 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM074 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum