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ACMMM107

use the increments formula: \(\delta y\cong\frac{dy}{dx}\times\delta x\) to estimate the change in the dependent variable \(y\) resulting from changes in the independent variable \(x\)

ACMMM130

understand and use the theorem \(F'\left(x\right)=\frac d{dx}\left(\int_a^xf\left(t\right)dt\right)=f\left(x\right)\), and illustrate its proof geometrically

ACMSM049

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

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

Achievement Standard Italian Years 9 and 10

By the end of Year 10, students use written and spoken Italian to interact with others in a range of contexts and for a range of purposes. They discuss topics such as education, work, the environment and youth issues as well as concepts from a range of …

Achievement Standard Mathematics Year 4

By the end of Year 4, students choose appropriate strategies for calculations involving multiplication and division. They recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two …

Achievement Standard | Achievement Standards | Year 4 | Mathematics | F-10 curriculum

ACMMM013

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

ACMMM021

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

ACMMM026

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

ACMMM115

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

ACMMM129

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

ACMMM161

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

ACMSM121

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

ACHAH288

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

ACHMH086

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

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

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

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 (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’

Overview of the senior secondary Australian Curriculum

ACARA has developed a senior secondary Australian Curriculum for English, Mathematics, Science and Humanities and Social Sciences. The senior secondary Australian Curriculum specifies content and achievement standards for each senior secondary subject. …

Overview of the senior secondary Australian Curriculum | English | Senior secondary curriculum

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