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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 $\frac{dy}{dx}=f\left(x\right)g\left(y\right)$ …

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 …

QuN5

Producing number names counts to at least 20 continues a count from a number other than 1 counts forwards by tens to 100 Counting items counts groups of up to 20 items Numeral recognition and identification points to the correct …

OwP1

Understanding percentages and relative size interprets per cent as meaning ‘out of 100’ recognises that 100% is a complete whole interprets a percentage as an operator (percentage is of an amount, 17% of $80, 17% does not exist alone without its …

CoU2

Ratios interprets ratios as a comparison between the same units of measure (students to teachers in a school is 20:1) expresses a ratio as equivalent fractions or percentages (ratio 1:1, each part represents ½ or 50% of the whole) uses a ratio to …

ACMEM035

substitute numerical values into algebraic expressions; for example, substitute different values of $x$ to evaluate the expressions $\frac{3x}5,\;5(2x-4)$

ACMMM047

recognise the numbers $\begin{pmatrix}n\\r\end{pmatrix}$ as binomial coefficients, (as coefficients in the expansion of $\left(x+y\right)^n)$

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.

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.

QuN4

Producing number names produces the number word just after a given number word in the range 1–10 (without dropping back to count from 1) produces the number word just before a given number word in the range 1–10 (without dropping back) Counting …

QuN6

Producing number names counts to at least 30 produces the number word just after a given number in the range 1–30 (without dropping back) produces the number word just before a given number word in the range 1–30 (without dropping back) counts forwards …

InF6

Fractions as numbers connects the concepts of fractions and division: a fraction is a quotient, or a division statement (two-sixths is the same as 2 ÷ 6 or 2 partitioned into 6 equal parts) justifies where to place fractions on a number line (to place …

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.) …

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 …

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 …

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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 …

PoL1

Position to self locates positions in the classroom relevant to self (hangs bag on own hook, puts materials in own tray) orients self to obtain a desired object follows simple instructions using positional language (stand up, sit down, put your lunch …

Elaboration ACMNA296

graphing parabolas, and circles connecting x-intercepts of a graph to a related equation

Elaboration (4) ACSSU175

investigating the effects on humans of exposure to electromagnetic radiations such as X-rays and microwaves

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