ACMMM178
use the approximate confidence interval \(\left(\widehat p-z\sqrt[{}]{(\widehat p(1-\widehat p)/n},\;\;\widehat p+z\sqrt[{}]{(\widehat p(1-\widehat p)/n}\right),\) as an interval estimate for \(p\), where \(z\) is the appropriate quantile for the standard …
ACMMM178 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM053
review the probability scale: \(0\leq P(A)\leq1\) for each event \(A,\) with \(P\left(A\right)=0\) if \(A\) is an impossibility and \(P\left(A\right)=1\) if \(A\) is a certaint
ACMMM053 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM116
integrate using the trigonometric identities \(\mathrm s\mathrm i\mathrm n^2x=\frac12(1-\mathrm c\mathrm o\mathrm s\;2x)\), \(\mathrm c\mathrm o\mathrm s^2x=\frac12(1+\mathrm c\mathrm o\mathrm s\;2x)\) and \(1+\;\mathrm t\mathrm a\mathrm n^2x=\mathrm …
ACMSM116 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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
ACMMM156
recognise the qualitative features of the graph of \(y=\log_ax\) \((a>1)\) including asymptotes, and of its translations \(y=\log_ax+b\) and \(y=\log_a{(x+c)}\)
ACMMM156 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM179
define the approximate margin of error \(E=z\sqrt[{}]{(\widehat p(1-\widehat p)/n}\) and understand the trade-off between margin of error and level of confidence
ACMMM179 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
Nhà ở Úc và Việt Nam – AT
Students learnt about the concept of ‘place and space’ and researched housing in both Australia and Vietnam. Students learnt language structures and vocabulary to enable them to compare and contrast objects, describe differences in culture and express …
Nhà ở Úc và Việt Nam – AT | Samples | Work samples | Resources
F-6/7 Humanities and Social Sciences - Foundation to Year 2
Foundation Knowledge and understanding (Geography sub-strand) Content description with elaborations: The places people live in and belong to, their familiar features and why they are important to people (ACHASSK015) identifying the places they live …
F-6/7 Humanities and Social Sciences - Foundation to Year 2 | Food and fibre dimensions | Dimensions | Curriculum connections | Resources
Science - Foundation to Year 2
Foundation Science understanding Biological sciences Content descriptions with elaborations Living things have basic needs, including food and water (ACSSU002) identifying the needs of humans such as warmth, food and water, using students’ own …
Science - Foundation to Year 2 | Food and wellbeing dimensions | Dimensions | Curriculum connections | Resources
ACMMM176
simulate repeated random sampling, for a variety of values of \(p\) and a range of sample sizes, to illustrate the distribution of \(\widehat p\) and the approximate standard normality of \(\frac{\widehat p\;-p}{\sqrt[{}]{(\widehat p(1-\widehat p)/n}}\) …
ACMMM176 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM055
define and use basic linear transformations: dilations of the form \((\mathrm x,\mathrm y)\longrightarrow({\mathrm\lambda}_1\mathrm x,{\mathrm\lambda}_2\mathrm y)\) , rotations about the origin and reflection in a line which passes through the origin, …
ACMSM055 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Science - Foundation to Year 2
Foundation Science Understanding Biological sciences Content description with elaborations: Living things have basic needs, including food and water (ACSSU002) identifying the needs of humans such as warmth, food and water, using students’ own …
Science - Foundation to Year 2 | Food and fibre dimensions | Dimensions | Curriculum connections | Resources
Mathematics - Foundation to Year 2
Foundation Numbers and algebra Patterns and algebra Content description with elaborations: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings (ACMNA005) observing …
Mathematics - Foundation to Year 2 | Food and fibre dimensions | Dimensions | Curriculum connections | Resources
Elaboration (1) ACELA1426
recognising that some texts can include both Standard Australian English and elements of other languages including Aboriginal and Torres Strait Islander languages
Elaboration (1) | ACELA1426 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1428
learning that we use a different tone and style of language with different people
Elaboration (1) | ACELA1428 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1429
recognising some of the ways emotions and feelings can be conveyed and influenced by visual representations, for example in advertising and animations
Elaboration (1) | ACELA1429 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1430
discussing the purpose of texts, for example ‘This text will tell a story’, ‘This text will give information’
Elaboration (1) | ACELA1430 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1432
commenting on punctuation encountered in the everyday texts, for example ‘That’s the letter that starts my name’, ‘The name of my family and my town has a capital letter’
Elaboration (1) | ACELA1432 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1433
learning that Standard Australian English in written texts is read from left to right and from top to bottom of the page and that direction of print may differ in other cultures, for example Japanese texts
Elaboration (1) | ACELA1433 | Content Descriptions | Foundation Year | English | F-10 curriculum
Elaboration (1) ACELA1435
creating students' own written texts and reading aloud to the teacher and others
Elaboration (1) | ACELA1435 | Content Descriptions | Foundation Year | English | F-10 curriculum