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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

ACMSM137

examine the concept of the sample mean X as a random variable whose value varies between samples where X is a random variable with mean μ and the standard deviation σ

ACMSM137 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Rationale Framework for Aboriginal Languages and Torres Strait Islander Languages

Nganki - ka Kardu thipmam - wa! I Murrinh warda ngatha. The nganthin ngumpanngerren. I ku ngakumarl, da ngarra ngugumingki wurran. The da matha nganthin ngala i da bere matha wangu ngumamath ngumpan ngarra magulkul nganki. We are black people. …

Rationale | Framework for Aboriginal Languages and Torres Strait Islander Languages | Languages | F-10 curriculum

Consumer and financial literacy

Consumer and financial literacy | Portfolios | Curriculum connections | Resources

ACMMM013

recognise features of the graphs of \(y=\frac1x\) and \(y=\frac a{x-b}\), including their hyperbolic shapes, and their asymptotes.

ACMMM013 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM021

recognise features of the graph of \(y^2=x\) including its parabolic shape and its axis of symmetry.

ACMMM021 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM026

examine dilations and the graphs of \(y=cf\left(x\right)\) and \(y=f\left(kx\right)\)

ACMMM026 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM115

use the notation \(\int f\left(x\right)dx\) for anti-derivatives or indefinite integrals

ACMMM115 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM129

understand the concept of the signed area function \(F\left(x\right)=\int_a^xf\left(t\right)dt\)

ACMMM129 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM161

establish and use the formula \(\frac d{dx}\left(\ln x\right)=\frac1x\)

ACMMM161 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM121

integrate expressions of the form \(\frac{\pm1}{\sqrt[{}]{a^2-x^2}}\) and \(\frac a{a^2+x^2}\)

ACMSM121 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACHAH288

The contribution of new scientific methodologies, including DNA analysis, radio-carbon dating, dendrochronology, thermoluminescence, proton magnetometer, and x-rays

ACHAH288 | Content Descriptions | Unit 4: Reconstructing the Ancient World | Ancient History | Humanities and Social Sciences | Senior secondary curriculum

ACHMH086

The role and significance of individuals in the struggle for civil rights, for example Martin Luther King Jr, Rosa Parkes, and Malcolm X

ACHMH086 | Content Descriptions | Unit 2: Movements for Change in the 20th century | Modern History | Humanities and Social Sciences | Senior secondary curriculum

Elaboration (1) ACMSP249

using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

critical-creative intercultural-understanding numeracy aboriginal-torres

Elaboration (1) | ACMSP249 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACLHIU034

understanding the influence on Hindi of different languages over different times, for example, the use of English words such as ‘post-box’, ‘railway station’, ‘bus’, ‘school’

Elaboration | ACLHIU034 | Content Descriptions | Years 3 and 4 | Years F–10 Sequence | Hindi | Languages | F-10 curriculum

Elaboration (3) ACLMGC159

stating personal preferences about characters, attitudes and events in texts for example, Pandora’s box, Aesop’s fable ‘The Fox and the Grapes’

Elaboration (3) | ACLMGC159 | Content Descriptions | Years 7 and 8 | Years F–10 Sequence | Modern Greek | Languages | F-10 curriculum

Elaboration (2) ACLJAU156

knowing that the hiragana spelling of a particular particle does not match its pronunciation, for example, ‘wa’ for は , ‘e’ for へ, ‘o/wo’ for を

Elaboration (2) | ACLJAU156 | Content Descriptions | Years 5 and 6 | Years F–10 Sequence | Japanese | Languages | F-10 curriculum

OwP2

Find percentage as a part of a whole uses fraction benchmarks to find percentages of quantities (to find 75% of 160, I know that 50% (half) of 160 is 80, and 25% (quarter) is 40 so 75% is 120) finds a percentage of a quantity (10%, 20%, 25%, 50%, …

OwP2 | Operating with percentages | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

AdS8

Flexible strategies with three-digit numbers and beyond manipulates hundreds, tens and ones flexibly to add and subtract 2 three-digit numbers (to add 250 and 457, ungroups the 250 into 2 hundreds and 5 tens, responds 457 plus 2 hundred is 657, plus …

AdS8 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

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, …

ACMSM055 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

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