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ACMSM066

prove divisibility results, such as \(3^{2n+4}-2^{2n}\)  is divisible by 5 for any positive integer n. 

ACMSM066 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACSES025

Fossil evidence indicates that life first appeared on Earth approximately 4 billion years ago

ACSES025 | Content Descriptions | Unit 1 | Earth and Environmental Science | Science | Senior secondary curriculum

ACMSM065

prove results for sums, such as \(1+4+9\dots+n^2=\frac{n(n+1)(2n+1)}6\) for any positive integer n

ACMSM065 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM049

prove and apply other trigonometric identities such as \(\cos3\mathrm x=4\;\mathrm c\mathrm o\mathrm s^{3\;}\mathrm x-3\cos\mathrm x\)

ACMSM049 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM086

identify subsets of the complex plane determined by relations such as \(\left|z-3i\right|\leq4\) \(\frac\pi4\leq Arg(z)\leq\frac{3\pi}4\), \(Re\left(z\right)>Im(z)\) and \(\left|z-1\right|=2\vert z-i\vert\)

ACMSM086 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACWOP055

A maximum of 4–5 content descriptions. Content description must commence with a verb

Elaborations

ACWOP055 | Content Descriptions | Options | Work Studies | F-10 curriculum

ACMNA074

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9

numeracy Elaborations ScOT Terms

ACMNA074 | Content Descriptions | Year 4 | Mathematics | F-10 curriculum

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