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Reasoning

In F–2, students develop an increasingly sophisticated capacity for logical thought and actions. Students are reasoning mathematically when they explain their thinking. In Years 3–6, students develop an increasingly sophisticated capacity for logical …

Reasoning | Portfolios | Mathematics proficiencies | Resources

Rationale Work Studies

Work has intrinsic value and is a fundamental part of everyday life. It fosters human dignity, independence and a sense of personal worth. It is recognised as a right of all people. In an increasingly globalised world, the nature of work …

Rationale | Work Studies | F-10 curriculum

Structure Design and Technologies

The Australian Curriculum: Design and Technologies (F–10) comprises two related strands: Design and Technologies knowledge and understanding – the use, development and impact of technologies and design ideas across a range of technologies contexts Design …

Structure | Design and Technologies | Technologies | F-10 curriculum

Fluency

In F–2, students become fluent as they develop skills in choosing appropriate procedures; and recalling factual knowledge and concepts readily. In Years 3–6, students become fluent as they develop skills in choosing appropriate procedures; carrying out …

Fluency | Portfolios | Mathematics proficiencies | Resources

ACMMM014

recognise features of the graphs of \(y=x^n\) for \(n\in\boldsymbol N,\) \(n=-1\) and \(n=½\), including shape, and behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)

ACMMM014 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM083

use the Leibniz notation for the derivative: \(\frac{dy}{dx}=\lim_{\mathit{δx}\rightarrow0}\frac{\delta y}{\delta x}\) and the correspondence \(\frac{dy}{dx}=f'\left(x\right)\) where \(y=f(x)\)

ACMMM083 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM124

examine the area problem, and use sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\) as area under the curve \(y=f(x)\)

ACMMM124 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM125

interpret the definite integral \(\int_a^bf\left(x\right)dx\;\) as area under the curve \(y=f\left(x\right)\) if \(f\left(x\right)>0\;\)

ACMMM125 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM126

recognise the definite integral \(\int_a^bf\left(x\right)dx\;\;\) as a limit of sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\)

ACMMM126 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

Year 10A Mathematics

The 10A content descriptions are optional and are intended for students who require additional content to enrich and extend their mathematical study whilst completing the common Year 10 curriculum. It is not anticipated that all students will attempt …

Year 10A | Mathematics | F-10 curriculum

Structure Digital Technologies

The Australian Curriculum: Digital Technologies (F–10) comprises two related strands: Digital Technologies knowledge and understanding – the information system components of data, and digital systems (hardware, software and networks) Digital Technologies …

Structure | Digital Technologies | Technologies | F-10 curriculum

Nature of work studies Work Studies

Applied learning Practically-based learning in realistic contexts is recognised internationally as being important for students in preparing for the world of work. Applied learning is essentially teacher-guided and student-centred. …

Nature of work studies | Work Studies | F-10 curriculum

Structure Framework for Classical Languages

Sequences of learning To reflect current custom, practice and the needs of learners in Australian schools, the Framework has been developed for Years 7–10. Strands, sub-strands and threads The following interrelated strands are derived from the …

Structure | Framework for Classical Languages | Languages | F-10 curriculum

Senior secondary Science subjects

The Australian Curriculum senior secondary Science subjects build on student learning in the Foundation to Year 10 Science curriculum and include: Biology Chemistry Earth and Environmental Science Physics.

Senior secondary Science subjects | Science | Senior secondary curriculum

Structure

Learner background and time-on-task are two major variables that influence language learning and they provide the basis for the structure of the Australian Curriculum: Languages. These variables are addressed through the specification of content and the …

Structure | Languages | F-10 curriculum

ACMEM122

generate tables of values for linear functions, including for negative values of \(x\)

ACMEM122 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum

ACMEM123

graph linear functions for all values of \(x\) with pencil and paper and with graphing software.

ACMEM123 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum

ACMMM046

expand \(\left(x+y\right)^n\) for small positive integers \(n\)

ACMMM046 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM085

interpret the derivative as the slope or gradient of a tangent line of the graph of \(y=f(x)\)

ACMMM085 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM102

establish the formulas \(\frac d{dx}\left(\sin x\right)=\cos x,\;\text{ and }\frac d{dx}\left(\cos x\right)=-\sin x\) by numerical estimations of the limits and informal proofs based on geometric constructions

ACMMM102 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

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