ACMMM046
expand \(\left(x+y\right)^n\) for small positive integers \(n\)
ACMMM046 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM085
interpret the derivative as the slope or gradient of a tangent line of the graph of \(y=f(x)\)
ACMMM085 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
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
ACMMM102 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM117
establish and use the formula \(\int e^xdx=e^x+c\)
ACMMM117 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM127
interpret \(\int_a^bf\left(x\right)dx\;\) as a sum of signed areas
ACMMM127 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM162
establish and use the formula \(\int\frac1xdx=\ln\;x\;+c\) for \(x>0\)
ACMMM162 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM067
define the imaginary number i as a root of the equation \(x^2=-1\)
ACMSM067 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Key ideas Science
In the Australian Curriculum: Science, there are six key ideas that represent key aspects of a scientific view of the world and bridge knowledge and understanding across the disciplines of science, as shown Figure 1 below. These are embedded within each …
Key ideas | Science | F-10 curriculum
Structure Health and Physical Education
Strands, sub-strands and threads The Australian Curriculum: Health and Physical Education is organised into two content strands: personal, social and community health and movement and physical activity. Each strand contains content descriptions which …
Structure | Health and Physical Education | F-10 curriculum
Year 4 Science
The science inquiry skills and science as a human endeavour strands are described across a two-year band. In their planning, schools and teachers refer to the expectations outlined in the achievement standard and also to the content of the science understanding …
Year 4 | Science | F-10 curriculum
Year 5 Science
The science inquiry skills and science as a human endeavour strands are described across a two-year band. In their planning, schools and teachers refer to the expectations outlined in the achievement standard and also to the content of the science understanding …
Year 5 | Science | F-10 curriculum
Year 6 Science
The science inquiry skills and science as a human endeavour strands are described across a two-year band. In their planning, schools and teachers refer to the expectations outlined in the achievement standard and also to the content of the science understanding …
Year 6 | Science | F-10 curriculum
ACMMM077
interpret the difference quotient \(\frac{f\left(x+h\right)-f(x)}h\) as the average rate of change of a function \(f\)
ACMMM077 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
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
ACMMM081 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
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 \(x\rightarrow-\infty\)
ACMMM095 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
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 …
ACMSM048 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Learning 7-10
In Years 7–10 the Australian Curriculum supports the deepening of knowledge, understanding and skills in all eight learning areas. The curriculum continues to prepare students for civic, social and economic participation and personal health and well-being …
Learning 7-10 | F-10 curriculum
Structure of Specialist Mathematics Specialist Mathematics
Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …
Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum
Year 9 English
The English curriculum is built around the three interrelated strands of language, literature and literacy. Teaching and learning programs should balance and integrate all three strands. Together, the strands focus on developing students’ knowledge, understanding …
Year 9 | English | F-10 curriculum
Structure English
Strands, sub-strands and threads The Australian Curriculum: English Foundation to Year 10 is organised into three interrelated strands that support students' growing understanding and use of Standard Australian English (English). Each strand interacts …
Structure | English | F-10 curriculum