ACMGM098
with the aid of a financial calculator or computer-based financial software, solve problems involving reducing balance loans; for example, determining the monthly repayments required to pay off a housing loan.
ACMGM098 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM099
use a recurrence relation to model an annuity, and investigate (numerically or graphically) the effect of the amount invested, the interest rate, and the payment amount on the duration of the annuity
ACMGM099 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM100
with the aid of a financial calculator or computer-based financial software, solve problems involving annuities (including perpetuities as a special case); for example, determining the amount to be invested in an annuity to provide a regular monthly income …
ACMGM100 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM101
explain the meaning of the terms tree and spanning tree identify practical examples
ACMGM101 | Content Descriptions | Unit 4 | 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
ACMGM103
use minimal spanning trees to solve minimal connector problems; for example, minimising the length of cable needed to provide power from a single power station to substations in several towns.
ACMGM103 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM104
construct a network to represent the durations and interdependencies of activities that must be completed during the project; for example, preparing a meal
ACMGM104 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM105
use forward and backward scanning to determine the earliest starting time (EST) and latest starting times (LST) for each activity in the project
ACMGM105 | Content Descriptions | Unit 4 | 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
ACMGM107
use the critical path to determine the minimum time for a project to be completed
ACMGM107 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM108
calculate float times for non-critical activities.
ACMGM108 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM109 | Content Descriptions | Unit 4 | 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
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
ACMMM001
determine the coordinates of the midpoint of two points
ACMMM001 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM002
examine examples of direct proportion and linearly related variables
ACMMM002 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM003
recognise features of the graph of \(y=mx+c\), including its linear nature, its intercepts and its slope or gradient
ACMMM003 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM004
find the equation of a straight line given sufficient information; parallel and perpendicular lines
ACMMM004 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM005
solve linear equations.
ACMMM005 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM006
examine examples of quadratically related variables
ACMMM006 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum