ACMMM129
understand the concept of the signed area function \(F\left(x\right)=\int_a^xf\left(t\right)dt\)
ACMMM129 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM161
establish and use the formula \(\frac d{dx}\left(\ln x\right)=\frac1x\)
ACMMM161 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM121
integrate expressions of the form \(\frac{\pm1}{\sqrt[{}]{a^2-x^2}}\) and \(\frac a{a^2+x^2}\)
ACMSM121 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACHAH288
The contribution of new scientific methodologies, including DNA analysis, radio-carbon dating, dendrochronology, thermoluminescence, proton magnetometer, and x-rays
ACHAH288 | Content Descriptions | Unit 4: Reconstructing the Ancient World | Ancient History | Humanities and Social Sciences | Senior secondary curriculum
ACHMH086
The role and significance of individuals in the struggle for civil rights, for example Martin Luther King Jr, Rosa Parkes, and Malcolm X
ACHMH086 | Content Descriptions | Unit 2: Movements for Change in the 20th century | Modern History | Humanities and Social Sciences | Senior secondary curriculum
Rationale Framework for Aboriginal Languages and Torres Strait Islander Languages
Nganki - ka Kardu thipmam - wa! I Murrinh warda ngatha. The nganthin ngumpanngerren. I ku ngakumarl, da ngarra ngugumingki wurran. The da matha nganthin ngala i da bere matha wangu ngumamath ngumpan ngarra magulkul nganki. We are black people. …
Rationale | Framework for Aboriginal Languages and Torres Strait Islander Languages | Languages | F-10 curriculum
Elaboration (2) ACLJAU156
knowing that the hiragana spelling of a particular particle does not match its pronunciation, for example, ‘wa’ for は , ‘e’ for へ, ‘o/wo’ for を
Elaboration (2) | ACLJAU156 | Content Descriptions | Years 5 and 6 | Years F–10 Sequence | Japanese | Languages | F-10 curriculum
Elaboration ACLASFU034
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’ (NSW, Qld and ACT) and ‘southern’ (Vic., SA, WA, NT and Tas.) …
Elaboration | ACLASFU034 | Content Descriptions | Years 3 and 4 | Years F–10 Sequence | First Language Learner Pathway | Auslan | Languages | F-10 curriculum
Elaboration ACLINU013
identifying people using pronouns (ibu, ayah, bapak, adik, kakak), referring to pets (anjing, kucing), and using concrete nouns for objects (buku, tas, pintu)
Elaboration | ACLINU013 | Content Descriptions | Foundation to Year 2 | Years F–10 Sequence | Indonesian | Languages | F-10 curriculum
ACMGM031
construct and use parallel box plots (including the use of the ‘Q1 – 1.5 x IQR’ and ‘Q3 + 1.5 x IQR’ criteria for identifying possible outliers) to compare groups in terms of location (median), spread (IQR and range) and outliers and to interpret and …
ACMGM031 | Content Descriptions | Unit 2 | General Mathematics | 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
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
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