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Representation of General capabilities General Mathematics

The seven general capabilities of Literacy, Numeracy, Information and Communication Technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding, and Intercultural understanding are identified where …

Representation of General capabilities | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM008

calculate the dividend paid on a portfolio of shares, given the percentage dividend or dividend paid per share, for each share; and compare share values by calculating a price-to-earnings ratio.

ACMGM008 | Content Descriptions | Unit 1 | General 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

ACMGM106

use ESTs and LSTs to locate the critical path(s) for the project

ACMGM106 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM082

apply Euler’s formula, \(v+f-e=2\), to solve problems relating to planar graphs.

ACMGM082 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM102

identify a minimum spanning tree in a weighted connected graph either by inspection or by using Prim’s algorithm

ACMGM102 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM111

determine the optimum assignment(s), by inspection for small-scale problems, or by use of the Hungarian algorithm for larger problems.

ACMGM111 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM035

determine the area of a triangle given two sides and an included angle by using the rule \(Area=\frac12ab\sin C\), or given three sides by using Heron’s rule, and solve related practical problems

ACMGM035 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM110

use a bipartite graph and/or its tabular or matrix form to represent an assignment/ allocation problem; for example, assigning four swimmers to the four places in a medley relay team to maximise the team’s chances of winning

ACMGM110 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

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