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

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

ACMMM025

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

ACMMM078

use the Leibniz notation \(\delta x\) and \(\delta y\) for changes or increments in the variables \(x\) and \(y\)

ACMMM100

establish and use the formula \(\frac d{dx}\left(e^x\right)=e^x\)

ACMMM116

establish and use the formula \(\int x^ndx=\frac1{n+1}x^{n+1}+c\) for \(n\neq-1\)

ACMMM118

establish and use the formulas, \(\int\sin xdx=-\cos x+c\) and \(\int\cos xdx=\sin x+c\)

ACMMM122

determine \(f\left(x\right),\) given \(f^{'\;}(x)\;\) and an initial condition \(f\left(a\right)=b\)

ACMMM151

define logarithms as indices: \(a^x=b\) is equivalent to \(x=\log_ab\) i.e. \(a^{\log_ab}=b\)

ACMMM153

recognise the inverse relationship between logarithms and exponentials: \(y=a^x\) is equivalent to \(x=\log_ay\)

ACMMM160

recognise and use the inverse relationship of the functions \(y=e^x\) and \(y=\ln x\)

ACMSM118

establish and use the formula \(\int\frac1xdx=\ln{\;\vert x\;\vert}+c\) for x ≠ 0

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

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