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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

numeracy

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

literacy critical-creative

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

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