ACMEM123
graph linear functions for all values of \(x\) with pencil and paper and with graphing software.
ACMEM123 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
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
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
Demonstration: Gymnastics - Years 3 and 4 - AT
As part of a four-week gymnastics unit, students were introduced to activities and practised beginning positions, static balances, rotations, landings and transitions. Safety elements were incorporated into all lessons, including specific and safe warm-up …
Demonstration: Gymnastics - Years 3 and 4 - AT | Samples | Work samples | Resources
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 Area Achievement Standard Dance Years 3 and 4
By the end of Year 4, students describe and discuss similarities and differences between artworks they make and those to which they respond. They discuss how they and others organise the elements and processes in artworks. Students collaborate to plan …
Learning Area Achievement Standard | Achievement Standards | Years 3 and 4 | Dance | The Arts | F-10 curriculum
Learning Area Achievement Standard Drama Years 3 and 4
By the end of Year 4, students describe and discuss similarities and differences between artworks they make and those to which they respond. They discuss how they and others organise the elements and processes in artworks. Students collaborate to plan …
Learning Area Achievement Standard | Achievement Standards | Years 3 and 4 | Drama | The Arts | F-10 curriculum
Learning Area Achievement Standard Media Arts Years 3 and 4
By the end of Year 4, students describe and discuss similarities and differences between artworks they make and those to which they respond. They discuss how they and others organise the elements and processes in artworks. Students collaborate to plan …
Learning Area Achievement Standard | Achievement Standards | Years 3 and 4 | Media Arts | The Arts | F-10 curriculum
Learning Area Achievement Standard Music Years 3 and 4
By the end of Year 4, students describe and discuss similarities and differences between artworks they make and those to which they respond. They discuss how they and others organise the elements and processes in artworks. Students collaborate to plan …
Learning Area Achievement Standard | Achievement Standards | Years 3 and 4 | Music | The Arts | F-10 curriculum
Learning Area Achievement Standard Visual Arts Years 3 and 4
By the end of Year 4, students describe and discuss similarities and differences between artworks they make and those to which they respond. They discuss how they and others organise the elements and processes in artworks. Students collaborate to plan …
Learning Area Achievement Standard | Achievement Standards | Years 3 and 4 | Visual Arts | The Arts | 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
F-6/7 Humanities and Social Sciences - Year 4
Geography The use and management of natural resources and waste, and the different views on how to do this sustainably (ACHASSK090) Civics and citizenship The role of local government and the decisions it makes on behalf of the community (ACHASSK091) The …
F-6/7 Humanities and Social Sciences - Year 4 | Knowledge and understanding | Dimensions | Curriculum connections | Resources