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.
ACMGM043 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
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
ACMGM094 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM016 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
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
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