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
ACMSM130
solve simple first-order differential equations of the form \(\frac{dy}{dx}=f(x)\), differential equations of the form \(\frac{dy}{dx}=g\left(y\right)\) and, in general, differential equations of the form \(\frac{dy}{dx}=f\left(x\right)g\left(y\right)\) …
ACMSM130 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM141
examine the approximate confidence interval \(\left(\overline{\mathrm X}\;–\frac{\mathrm z\mathrm s}{\sqrt[{}]n},\;\;\overline{\mathrm X}+\frac{\mathrm z\mathrm s}{\sqrt[{}]n}\right),\), as an interval estimate for \(\mu\) ,the population mean, where …
ACMSM141 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM035
substitute numerical values into algebraic expressions; for example, substitute different values of \(x\) to evaluate the expressions \(\frac{3x}5,\;5(2x-4)\)
ACMEM035 | Content Descriptions | Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM047
recognise the numbers \(\begin{pmatrix}n\\r\end{pmatrix}\) as binomial coefficients, (as coefficients in the expansion of \(\left(x+y\right)^n)\)
ACMMM047 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM131
understand the formula \(\int_a^b{f\left(x\right)dx=F\left(b\right)-F(a)}\) and use it to calculate definite integrals.
ACMMM131 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM053
calculate the determinant and inverse of 2x2 matrices and solve matrix equations of the form AX=B , where A is a 2x2 matrix and X and B are column vectors.
ACMSM053 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Elaboration ACMNA296
graphing parabolas, and circles connecting x-intercepts of a graph to a related equation
Elaboration | ACMNA296 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (4) ACSSU175
investigating the effects on humans of exposure to electromagnetic radiations such as X-rays and microwaves
Elaboration (4) | ACSSU175 | Content Descriptions | Year 9 | Science | F-10 curriculum
Achievement Standard Geography Year 8
By the end of Year 8, students explain geographical processes that influence the characteristics of places and explain how places are perceived and valued differently. They explain interconnections within environments and between people and places and …
Achievement Standard | Achievement Standards | Year 8 | Geography | Humanities and Social Sciences | F-10 curriculum
Learning Area Achievement Standard Design and Technologies Years 7 and 8
By the end of Year 8, students explain how social, ethical, technical and sustainability considerations influence the design of innovative and enterprising solutions to meet a range of present and future needs. They explain how the features of technologies …
Learning Area Achievement Standard | Achievement Standards | Years 7 and 8 | Design and Technologies | Technologies | F-10 curriculum
Learning Area Achievement Standard Digital Technologies Years 7 and 8
By the end of Year 8, students explain how social, ethical, technical and sustainability considerations influence the design of innovative and enterprising solutions to meet a range of present and future needs. They explain how the features of technologies …
Learning Area Achievement Standard | Achievement Standards | Years 7 and 8 | Digital Technologies | Technologies | F-10 curriculum
Structure Mathematics
The Australian Curriculum: Mathematics is organised around the interaction of three content strands and four proficiency strands. The content strands are number and algebra, measurement and geometry, and statistics and probability. They describe what …
Structure | Mathematics | F-10 curriculum
Senior secondary English subjects
The senior secondary Australian Curriculum for English is presented in four subjects that share common features. These include the continuing development of students’ knowledge, understanding and skills in listening, speaking, reading, viewing and writing. …
Senior secondary English subjects | English | Senior secondary curriculum
MuS7
Flexible number properties uses multiplication and division as inverse operations uses factors of a number to carry out multiplication and division (to multiply a number by 72, first multiply by 12 and then multiply the result by 6) uses knowledge …
MuS7 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
How can the literacy progression be used?
The National Literacy Learning Progression can be used at a whole school, team or individual teacher level. However, the progression provides maximum student learning benefits when used as part of a whole-school strategy that involves professional learning …
How can the literacy progression be used? | National Literacy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS6
Flexible strategies for multiplication draws on the structure of multiplication to use known multiples in calculating related multiples (uses multiples of 4 to calculate multiples of 8) uses known single-digit multiplication facts (7 boxes of 6 donuts …
MuS6 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA6
Generalising patterns identifies a single operation rule in numerical patterns and records it as a numerical expression (2, 4, 6, 8, 10 … is n + 2, or 2, 6, 18, 54 … is 3n) predicts a higher term of a pattern using the pattern’s rule Number properties creates …
NPA6 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Structure
Learner background and time-on-task are two major variables that influence language learning and they provide the basis for the structure of the Australian Curriculum: Languages. These variables are addressed through the specification of content and the …
Structure | Languages | 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