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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 \(x^2=-1\)

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 \(x\rightarrow-\infty\)

Elaboration ACLASFU160

exploring similarities and differences in Auslan dialects through building webcam relationships with other schools or through identifying and collecting signs that differ in the northern (Qld and NSW) and southern (Vic., SA, WA and Tas.) dialects, such …

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 …

Yokine Primary School

Yokine Independent Public Primary School is situated ten kilometres from Perth CBD. The school profile has changed significantly over the last seven years with an increased enrolment of students for whom English is an Additional Language or Dialect (EAL/D).The …

Yokine Primary School | Illustrations of practice | Primary curriculum | Resources

Baynton West Primary School

Baynton West Primary School is an independent public school in Karratha, Western Australia. At the time of filming the school had close to 600 students in Foundation – Year 7, and 50 staff members. The school strives to provide a rigorous education for …

Baynton West Primary School | Illustrations of practice | Primary curriculum | Resources

St Stephen's School, Duncraig

St Stephen’s School, Duncraig, is situated 15 kilometres north of Perth. At the time of filming, St Stephen’s Duncraig had 548 students, with the Early Years Learning Framework integrated into the pedagogy of the primary school. The general capabilities …

St Stephen's School, Duncraig | Illustrations of practice | Primary curriculum | Resources

St Stephen's School, Carramar

At the time of filming St Stephen’s Carramar had 490 students F–6. The school’s emphasis is on developing students, with the curriculum as the platform and context. Both teachers and students are encouraged to take risks in the learning process. Integration …

St Stephen's School, Carramar | Illustrations of practice | Primary curriculum | Resources

The Pilbara Education Region

The Pilbara Education Region is one of eight regions in the Western Australian Department of Education. The headquarters of this education region, the Pilbara Education Regional Office (PERO), is located in Karratha. The PERO staff are committed to the …

The Pilbara Education Region | Illustrations of practice | Primary curriculum | Resources

Hale School

The Hale School took an initiative to assist students to develop strategies to ingrain ways of thinking mathematically into their learning. They took on a focus of problem-based learning and realised, with the implementation of the Australian Curriculum: …

Hale School | Illustrations of practice | Mathematics proficiencies | Resources

St Joseph’s Catholic Primary School

The Mirima Dawang Woorlab-gerring Language and Culture Centre The Mirima Dawang Woorlab-gerring (MDWg) Language and Culture Centre Kununurra is situated 3,214 km from Perth in far northern Western Australia, at the eastern extremity of the Kimberley. …

St Joseph’s Catholic Primary School | Illustrations of practice | Framework for Aboriginal Languages and Torres Strait Islander Languages | Resources

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