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ACMMM125

interpret the definite integral \(\int_a^bf\left(x\right)dx\;\) as area under the curve \(y=f\left(x\right)\) if \(f\left(x\right)>0\;\)

ACMMM126

recognise the definite integral \(\int_a^bf\left(x\right)dx\;\;\) as a limit of sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\)

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

Cherrybrook Technology High School (Years 9 and 10)

Cherrybrook Technology High School is a 7-12 co-educational government school located in Cherrybrook, New South Wales on the Traditional Lands of the Dharug Peoples. In its STEM Connections project, the school chose to address the degradation of it's …

Cherrybrook Technology High School (Years 9 and 10) | Illustrations of practice | STEM | Resources

St John’s Lutheran Primary School

St John's Lutheran Primary School is located in the coastal town of Bundaberg and has been operating for over 30 years. At the time of filming, the school had 200 F–7students. A community kindergarten is also located on site. The school began the curriculum …

St John’s Lutheran Primary School | Illustrations of practice | Primary curriculum | Resources

Merici College (Years 9 and 10)

Merici College is a 7-12 girls Catholic School located in Canberra, ACT on the Traditional Lands of the Ngunnawal Peoples. Merici College has a specific emphasis on sustainability. Accordingly, their STEM Connections project focused on solar photovoltaics. …

Merici College (Years 9 and 10) | Illustrations of practice | STEM | Resources

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

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 \(y=f(x)\)

ACMMM102

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 \(x^2=-1\)

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