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ACMGM009

use a spreadsheet to display examples of the above computations when multiple or repeated computations are required; for example, preparing a wage-sheet displaying the weekly earnings of workers in a fast food store where hours of employment and hourly …

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 …

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 …

ACMGM085

explain the meaning of the terms: Eulerian graph, Eulerian trail, semi-Eulerian graph, semi-Eulerian trail and the conditions for their existence, and use these concepts to investigate and solve practical problems; for example, the Königsberg Bridge problem, …

ACMGM086

explain the meaning of the terms: Hamiltonian graph and semi-Hamiltonian graph, and use these concepts to investigate and solve practical problems; for example, planning a sight-seeing tourist route around a city, the travelling-salesman problem (by trial-and-error …

ACMGM109

solve small-scale network flow problems including the use of the ‘maximum-flow minimum- cut’ theorem; for example, determining the maximum volume of oil that can flow through a network of pipes from an oil storage tank (the source) to a terminal (the …

ACMMM045

use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) and the formula \(\begin{pmatrix}n\\r\end{pmatrix}=\frac{n!}{r!\left(n-r\right)!}\) for the number of combinations of \(r\) objects taken from a set of \(n\) distinct objects

ACMMM178

use the approximate confidence interval \(\left(\widehat p-z\sqrt[{}]{(\widehat p(1-\widehat p)/n},\;\;\widehat p+z\sqrt[{}]{(\widehat p(1-\widehat p)/n}\right),\) as an interval estimate for \(p\), where \(z\) is the appropriate quantile for the standard …

ACMSM055

define and use basic linear transformations: dilations of the form \((\mathrm x,\mathrm y)\longrightarrow({\mathrm\lambda}_1\mathrm x,{\mathrm\lambda}_2\mathrm y)\) , rotations about the origin and reflection in a line which passes through the origin, …

ACMSM136

consider and solve problems involving motion in a straight line with both constant and non-constant acceleration, including simple harmonic motion and the use of expressions \(\frac{dv}{dt}\), \(v\frac{dv}{dx}\) and \(\frac{d(\frac12v^2)}{dx}\) for a …

ACHAH273

The nature of the Theban excavations and the use of scientific methods, and the contributions of significant archaeologists and institutions, for example Flinders Petrie, the French-Egyptian Centre for the Study of the Temples of Karnak, the New York …

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 …

ACMMM149

determine and use the probabilities \(\mathrm P\left(\mathrm X=\mathrm r\right)=\begin{pmatrix}\mathrm n\\\mathrm r\end{pmatrix}\mathrm p^\mathrm r{(1-\mathrm p)}^{\mathrm n-\mathrm r}\) associated with the binomial distribution with parameters \(n\) …

ACHAH215

The nature of power and authority in Rome in 63BC, including the social structure of Roman society (the nobility, equestrians, slaves, freedmen, patron-client relations, and family structures, including ‘pater familias’); political structures (the senate, …

ACSIS130

Summarise data, from students’ own investigations and secondary sources, and use scientific understanding to identify relationships and draw conclusions based on evidence

Elaborations ScOT Terms

ACSIS130 | Content Descriptions | Year 7 | Science | F-10 curriculum

ACSIS145

Summarise data, from students’ own investigations and secondary sources, and use scientific understanding to identify relationships and draw conclusions based on evidence

Elaborations ScOT Terms

ACSIS145 | Content Descriptions | Year 8 | Science | F-10 curriculum

ACHGS069

Identify how geographical information systems (GIS) might be used to analyse geographical data and make predictions

Elaborations ScOT Terms

ACHGS078

Identify how geographical information systems (GIS) might be used to analyse geographical data and make predictions

Elaborations ScOT Terms

ACHES045

Analyse data and information in different formats to explain cause-and-effect relationships, make predictions and illustrate alternative perspectives

Elaborations ScOT Terms

Curriculum Types

Curriculum Elements Types

General Capabilities

Cross Curriculum Priorities

ACMGM009

ACMGM016

ACMGM077

ACMGM085

ACMGM086

ACMGM109

ACMMM045

ACMMM178

ACMSM055

ACMSM136

ACHAH273

ACMGM070

ACMGM074

ACMMM149

ACHAH215

ACSIS130

ACSIS145

ACHGS069

ACHGS078

ACHES045