Representation of Cross-curriculum priorities
The senior secondary Mathematics curriculum values the histories, cultures, traditions and languages of Aboriginal and Torres Strait Islander peoples’ past and ongoing contributions to contemporary Australian society and culture. Through the study of …
Representation of Cross-curriculum priorities | Mathematics | Senior secondary curriculum
Representation of General capabilities Essential 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 | Essential Mathematics | Mathematics | Senior secondary curriculum
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
Representation of General capabilities Mathematical Methods
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 | Mathematical Methods | Mathematics | Senior secondary curriculum
Representation of General capabilities Specialist 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 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM075
use rates to determine costs; for example, calculating the cost of a tradesman using rates per hour, call-out fees.
ACMEM075 | Content Descriptions | Unit 2 | Essential 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
ACMMM048
use Pascal’s triangle and its properties.
ACMMM048 | Content Descriptions | Unit 1 | Mathematical Methods | 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
ACMSM009
derive and use simple identities associated with Pascal’s triangle.
ACMSM009 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM083
prove and use De Moivre’s theorem for integral powers.
ACMSM083 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM116
integrate using the trigonometric identities \(\mathrm s\mathrm i\mathrm n^2x=\frac12(1-\mathrm c\mathrm o\mathrm s\;2x)\), \(\mathrm c\mathrm o\mathrm s^2x=\frac12(1+\mathrm c\mathrm o\mathrm s\;2x)\) and \(1+\;\mathrm t\mathrm a\mathrm n^2x=\mathrm …
ACMSM116 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM072
convert between units for rates; for example, km/h to m/s, mL/min to L/h
ACMEM072 | Content Descriptions | Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM159
locate positions on Earth’s surface given latitude and longitude using GPS, a globe, an atlas, and digital technologies
ACMEM159 | Content Descriptions | Unit 4 | Essential 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
ACMMM075
establish and use the formula \(S_n=t_1\frac{r^n-1}{r-1}\) for the sum of the first \(n\) terms of a geometric sequence
ACMMM075 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM139
simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate the approximate standard normality of \(\frac{\overline X-\mu}{s/\sqrt[{}]n}\) for large samples \(\left(n\geq30\right)\), where \(s\) is the …
ACMSM139 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum