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ACMSM117

use substitution \(u = g(x)\) to integrate expressions of the form \(f\left(g\left(x\right)\right)g'\left(x\right)\)

ACMMM007

recognise features of the graphs of \(y=x^2\), \(y=a{(x-b)}^2+c\), and \(y=a\left(x-b\right)\left(x-c\right)\) including their parabolic nature, turning points, axes of symmetry and intercepts

ACMMM079

use the notation \(\frac{\delta y}{\delta x}\) for the difference quotient \(\frac{f\left(x+h\right)-f(x)}h\) where \(y=f(x)\)

ACMMM080

interpret the ratios \(\frac{f\left(x+h\right)-f(x)}h\) and \(\frac{\delta y}{\delta x}\) as the slope or gradient of a chord or secant of the graph of \(y=f(x)\)

ACMMM088

establish the formula \(\frac d{dx}\left(x^n\right)=nx^{n-1}\) for positive integers \(n\) by expanding \({(x+h)}^n\) or by factorising \({(x+h)}^n-x^n\)

ACMMM159

define the natural logarithm \(\ln x=\log_ex\)

ACMSM099

examine the relationship between the graph of \(y=f(x)\) and the graphs of \(y=\frac1{f(x)}\), \(y=\vert f\left(x\right)\vert\) and \(y=f(\left|x\right|)\)

Consumer and financial literacy: 7-10 Geography

The Australian Curriculum: Geography has an important role in supporting young people to become responsible and informed consumers. Geography supports the development of the following dimensions of consumer and financial literacy. Approximate proportion …

Consumer and financial literacy: 7-10 Geography | Subjects | Dimensions | Curriculum connections | Resources

Consumer and financial literacy: Design and Technologies

The Australian Curriculum: Technologies has a significant role in developing consumer and financial literacy in young people. The Design and Technologies subject supports the development of the dimensions of consumer and financial literacy as shown in …

Consumer and financial literacy: Design and Technologies | Subjects | Dimensions | Curriculum connections | Resources

Mathematics: Number lines/Science: Energy transfer

Clifford Park Special School upholds the strong belief that all students can learn, and that they should have equitable access to the Australian Curriculum. The school provides educational programs for secondary students with disability. A supportive …

Mathematics: Number lines/Science: Energy transfer | Illustrations of practice | Student diversity | Resources

Consumer and financial literacy: 7-10 Economics and Business

The Australian Curriculum: Economics and Business is uniquely positioned to develop consumer and financial literacy in young people. The curriculum supports the development of the dimensions of consumer and financial literacy as shown in the diagram below. Approximate …

Consumer and financial literacy: 7-10 Economics and Business | Subjects | Dimensions | Curriculum connections | Resources

Career education: linking learning and social entrepreneurship

This illustration of practice describes how Rooty Hill High School approaches a year-long strategy for career education and entrepreneurial learning through a Young Entrepreneurs Program (YEP). In Young Entrepreneurs Week at the end of Term 4, students …

Career education: linking learning and social entrepreneurship | Illustrations of practice | General capabilities and career education | Resources

Peg's Creek Primary School

Peg's Creek Primary School is an independent public school, centrally located in the City of Karratha, 1600 km north-west of Perth. The school is a part of the Pilbara Education District and is one of five public primary schools and one Catholic primary …

Peg's Creek Primary School | Illustrations of practice | Primary curriculum | Resources

Leigh Creek Area School

Leigh Creek is situated 560kms north of Adelaide in the hot, arid zone of South Australia’s northern Flinders Ranges. Leigh Creek Area School caters to students from Foundation to Year 12 (F – 12) and is located on the traditional lands of the Adnyamathanha …

Leigh Creek Area School | Illustrations of practice | Framework for Aboriginal Languages and Torres Strait Islander Languages | Resources

Consumer and financial literacy: Mathematics

The Australian Curriculum: Mathematics has a significant role in developing consumer and financial literacy in young people. The Mathematics curriculum supports the development of the dimensions of consumer and financial literacy as shown in the diagram …

Consumer and financial literacy: Mathematics | Subjects | Dimensions | Curriculum connections | Resources

Consumer and financial literacy: English

The Australian Curriculum: English has an important role in developing consumer and financial literacy in young people. The English curriculum develops students’ understanding of how to read, view and interpret texts. Through the literacy strand of the …

Consumer and financial literacy: English | Subjects | Dimensions | Curriculum connections | Resources

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