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ACMMM039

examine phase changes and the graphs of \(y=\sin{(x+c)}\), \(y=\cos{(x+c)}\) and \(y=\tan{(x+c)}\) and the relationships \(\sin\left(x+\frac\pi2\right)=\cos x\) and \(\cos\left(x-\frac\pi2\right)=\sin x\)

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

ACMMM065

recognise the qualitative features of the graph of \(y=a^x(a>0)\) including asymptotes, and of its translations \(y=a^x+b\) and \(y=a^{x+c}\)

ACMMM082

define the derivative \(f'\left(x\right)\) as \(\lim_{h\rightarrow0}\frac{f\left(x+h\right)-f(x)}h\)

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 \(y=f(\left|x\right|)\)

Sadadeen Primary School

Sadadeen Primary School is a small school in Alice Springs. There are 130 children and around 92 per cent of them are Aboriginal or Torres Strait Islander background and 80 per cent for whom EAL/D (English is an Additional Language or Dialect). The school …

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

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

ACHAH366

An overview of the history of Pompeii and Herculaneum since the 8th century BC up to the eruption of AD 79, including the establishment of Pompeii as a Roman colony in AD 80, earthquake activity, and the various stages of the eruption of Mt Vesuvius

Landsdale Primary School

Lansdale Primary School is situated in the north-eastern suburbs of Perth and at the time of filming had 942 K–7 students. The students come from various cultural backgrounds with 38 per cent having English as an additional language or dialect. Lansdale …

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

ACMMM025

examine translations and the graphs of \(y=f\left(x\right)+a\) and \(y=f(x+b)\)

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