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
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
Year 10 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 10 | English | F-10 curriculum
Learning 3-6
The Australian Curriculum across Years 3–6 assists students to develop their ability to take positive action for well-being; relate and communicate well with others; pose questions and solve problems; make informed decisions and act responsibly. It engages …
Learning 3-6 | F-10 curriculum
Structure
The Australian Curriculum: Technologies Foundation – Year 10 comprises two subjects: Design and Technologies Digital Technologies. The Australian Curriculum: Technologies is written on the basis that all students will study the two subjects from Foundation …
Structure | Technologies | F-10 curriculum
Introduction Work Studies
The Australian Curriculum: Work Studies, Years 9–10 has been written in response to key work-related issues facing young people today and into the future. This is a world-leading, future-oriented curriculum, equal in quality, value and rigour …
Introduction | Work Studies | F-10 curriculum
Structure Work Studies
The design, organisation and structure of the Work Studies Years 9–10 curriculum provides flexibility for schools to draw on the interests, capabilities and contexts of their students. It allows schools to accommodate school structures and processes, …
Structure | Work Studies | F-10 curriculum
Year 5 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 5 | English | F-10 curriculum
Achievement Standard Indonesian Years 3 and 4
By the end of Year 4, students interact in classroom routines and structured interactions with teachers and peers. They reproduce the sounds of au (for example, mau) and g (for example, gemuk) and the final sound k (for example, tidak). Students follow …
Achievement Standard | Achievement Standards | Years 3 and 4 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum
Elaboration ACLASFU160
exploring similarities and differences in Auslan dialects through building webcam relationships with other schools or through identifying and collecting signs that differ in the northern (Qld and NSW) and southern (Vic., SA, WA and Tas.) dialects, such …
Elaboration | ACLASFU160 | Content Descriptions | Years 3 and 4 | Years F–10 Sequence | Second Language Learner Pathway | Auslan | Languages | F-10 curriculum
Year 3 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 3 | Science | 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