ACMMM122
determine \(f\left(x\right),\) given \(f^{'\;}(x)\;\) and an initial condition \(f\left(a\right)=b\)
ACMMM122 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM151
define logarithms as indices: \(a^x=b\) is equivalent to \(x=\log_ab\) i.e. \(a^{\log_ab}=b\)
ACMMM151 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM153
recognise the inverse relationship between logarithms and exponentials: \(y=a^x\) is equivalent to \(x=\log_ay\)
ACMMM153 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM160
recognise and use the inverse relationship of the functions \(y=e^x\) and \(y=\ln x\)
ACMMM160 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM118
establish and use the formula \(\int\frac1xdx=\ln{\;\vert x\;\vert}+c\) for x ≠ 0
ACMSM118 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Elaboration (1) ACAMUM089
practising their singing and playing to explore and develop technical skills in solo and ensemble music, for example, practising to accurately interpret rhythm and pitch
Elaboration (1) | ACAMUM089 | Content Descriptions | Years 5 and 6 | Music | The Arts | F-10 curriculum
ACOKFH001
the theory that people moved out of Africa between 120 000 and 60 000 years ago and migrated to other parts of the world, including Australia
ScOT Terms
ACOKFH001 | Content Descriptions | Year 7 | History | Humanities and Social Sciences | F-10 curriculum
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
ACHAH080
The nature of the sources and sites, including Vix and Hochdorf Burial; relevant excepts from Caesar’s Gallic War VII, Dio Cassius Roman History Books 40 &43 (Vercingetorix) and Book 62 (Boudicca), Tacitus The Annals Books 14 (Boudicca), Asterix series, …
ACHAH080 | Content Descriptions | Unit 1: Investigating the Ancient World | Ancient History | Humanities and Social Sciences | Senior secondary curriculum
Two-way science at Watiyawanu Kuula: collecting, identifying a classifying local plants and how they survive
Mt Liebig School is a Northern Territory government school located in a remote community 325 km west of Alice Springs on the traditional lands of the Pintupi-Luritja people. It has an enrolment of 60 students, of whom 100% are Aboriginal. The school is …
Two-way science at Watiyawanu Kuula: collecting, identifying a classifying local plants and how they survive | Illustrations of practice | Aboriginal and Torres Strait Islander Histories and Cultures | 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
ACMMM014
recognise features of the graphs of \(y=x^n\) for \(n\in\boldsymbol N,\) \(n=-1\) and \(n=½\), including shape, and behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)
ACMMM014 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM083
use the Leibniz notation for the derivative: \(\frac{dy}{dx}=\lim_{\mathit{δx}\rightarrow0}\frac{\delta y}{\delta x}\) and the correspondence \(\frac{dy}{dx}=f'\left(x\right)\) where \(y=f(x)\)
ACMMM083 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM124
examine the area problem, and use sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\) as area under the curve \(y=f(x)\)
ACMMM124 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM125
interpret the definite integral \(\int_a^bf\left(x\right)dx\;\) as area under the curve \(y=f\left(x\right)\) if \(f\left(x\right)>0\;\)
ACMMM125 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM126
recognise the definite integral \(\int_a^bf\left(x\right)dx\;\;\) as a limit of sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\)
ACMMM126 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum