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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.

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 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

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 \(y=\log_a{(x+c)}\)

ACMSM042

find all solutions of \(\mathrm f\left(\mathrm a\left(\mathrm x-\mathrm b\right)\right)=\mathrm c\) where \(f\) is one of \(\sin\), \(\cos\) or \(\tan\)

ACMSM043

graph functions with rules of the form \(\mathrm y=\mathrm f(\mathrm a\left(\mathrm x-\mathrm b\right))\) where \(f\) is one of \(\sin\), \(\cos\) or \(\tan\)

ACMSM143

use \(\overline x\) and \(s\) to estimate \(\mu\) and \(\sigma\), to obtain approximate intervals covering desired proportions of values of a normal random variable and compare with an approximate confidence interval for \(\mu\)

ACSCH130

Data from analytical techniques, including mass spectrometry, x-ray crystallography and infrared spectroscopy, can be used to determine the structure of organic molecules, often using evidence from more than one technique

ACMSM138

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate properties of the distribution of \(\overline X\;\) across samples of a fixed size \(n\), including its mean \(\mu\), its standard deviation …

ACMSM139

simulate repeated random sampling, from a variety of distributions and a range of sample sizes, to illustrate the approximate standard normality of \(\frac{\overline X-\mu}{s/\sqrt[{}]n}\) for large samples \(\left(n\geq30\right)\), where \(s\) is the …

ACMMM149

determine and use the probabilities \(\mathrm P\left(\mathrm X=\mathrm r\right)=\begin{pmatrix}\mathrm n\\\mathrm r\end{pmatrix}\mathrm p^\mathrm r{(1-\mathrm p)}^{\mathrm n-\mathrm r}\) associated with the binomial distribution with parameters \(n\) …

Elaboration (5) ACLASFC091

introducing self and family and explaining relationships using possessive pronouns, for example: POSS1 NAME X, PRO1 12-YEARS-OLD My name is X, and I’m 12 years old. PRO3 POSS1 BROTHER He’s my brother.

Digital project: Bee-Bot - ABOVE

Students explored the concept of sequencing steps and decisions using Bee-Bots. They worked in groups to solve progressively more complex routes using grids on paper. Students then programmed the Bee-Bots to navigate grids created on the floor using masking …

Digital project: Bee-Bot - ABOVE | Samples | Work samples | Resources

Digital project: Bee-Bot - AT

Students explored the concept of sequencing steps and decisions using Bee-Bots. They worked in groups to solve progressively more complex routes using grids on paper. Students then programmed the Bee-Bots to navigate grids created on the floor using masking …

Digital project: Bee-Bot - AT | Samples | Work samples | Resources

Anzac Day invitation – ABOVE

Students explored the important symbols associated with the commemoration of Anzac Day (25 April). The teacher and teacher-librarian provided students with pictorial sources and real or replica artefacts using a ‘memorial box’ borrowed from the Australian …

Anzac Day invitation – ABOVE | Samples | Work samples | Resources

The local lagoon – AT

Students undertook a guided excursion to a freshwater wetland in a local national park. After the excursion students completed a structured worksheet in class.

The local lagoon – AT | Samples | Work samples | Resources

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