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ACMEM122

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

ACMEM123

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

ACMMM046

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

ACMMM085

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

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

ACMMM117

establish and use the formula \(\int e^xdx=e^x+c\)

ACMMM127

interpret \(\int_a^bf\left(x\right)dx\;\) as a sum of signed areas

ACMMM162

establish and use the formula \(\int\frac1xdx=\ln\;x\;+c\) for \(x>0\)

ACMSM067

define the imaginary number i as a root of the equation \(x^2=-1\)

Staff planning: Adapting the Australian Curriculum to meet the needs of all students

The Woden School offers a supported high school and senior secondary school program to eligible students who meet the ACT Disability Criteria, including students with mild to moderate intellectual disability in addition to other medical conditions or …

Staff planning: Adapting the Australian Curriculum to meet the needs of all students | Illustrations of practice | Student diversity | Resources

ACMMM077

interpret the difference quotient \(\frac{f\left(x+h\right)-f(x)}h\) as the average rate of change of a function \(f\)

ACMMM081

examine the behaviour of the difference quotient \(\frac{f\left(x+h\right)-f(x)}h\) as \(h\rightarrow0\) as an informal introduction to the concept of a limit

ACMMM095

sketch curves associated with simple polynomials; find stationary points, and local and global maxima and minima; and examine behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)

Career Education: linking with community through social enterprise

This Illustration of practice demonstrates how Bunbury Cathedral Grammar School incorporates career education in an annual event tailored for students in Years 7 to 9. ‘IMPACT Week’, provides students with opportunities to engage in ‘real world’ problem …

Career Education: linking with community through social enterprise | Illustrations of practice | General capabilities and career education | Resources

Career education: skills for work and vocational pathways

This illustration of practice demonstrates how Redcliffe State High School incorporates opportunities to develop the Australian Curriculum general capabilities and a Vocational Education and Training (VET) qualification into the school’s career education …

Career education: skills for work and vocational pathways | Illustrations of practice | General capabilities and career education | Resources

Career education: a community approach

This illustration of practice highlights how Broome Senior High School and St. Mary’s College collaborate with a range of local agencies to design a Career Expo and career-related learning experience to celebrate National Careers Week. The Career Expo …

Career education: a community approach | Illustrations of practice | General capabilities and career education | Resources

Elaboration (5) ACLINC036

participating in sourcing goods and services, noting where these can be found and the different purchasing processes and language involved, for example, fixed prices (Harga pas) and negotiable prices (Boleh tawar?)

Fire: a burning question

Gordonvale State High School is a government school located south of Cairns in Queensland on the traditional lands of the Malanbarra Yidinji people. It has an enrolment of 862 students, of whom 29% are Aboriginal and/or Torres Strait Islander. The school …

Fire: a burning question | Illustrations of practice | Aboriginal and Torres Strait Islander Histories and Cultures | Resources

Ballarat Clarendon College

Ballarat Clarendon College (BCC) is a regional independent school. At the time of filming there were approximately 450 students in the Early Learning – Year 4 campus. The identification and implementation of evidenced-based teaching approaches are proven …

Ballarat Clarendon College | Illustrations of practice | Primary curriculum | Resources

ACMSM048

convert sums \(\mathrm a\cos\mathrm x+\mathrm b\;\sin\mathrm x\) to \(\mathrm R\;\cos{(\mathrm x\pm\mathrm\alpha)}\) or \(\mathrm R\sin{(\mathrm x\pm\mathrm\alpha)}\) and apply these to sketch graphs, solve equations of the form \(\mathrm a\cos\mathrm …

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