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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 …

ACEEA107

engaging in group work to promote language learning

ACMEM118

work with the concepts of angle of elevation and angle of depression

ACMEM009

round up or round down numbers to the required number of decimal places

ACMMM099

recognise that \(e\) is the unique number \(a\) for which the above limit is 1

ACMSM070

perform complex-number arithmetic: addition, subtraction, multiplication and division.

ACSPH144

Lepton number and baryon number are examples of quantities that are conserved in all reactions between particles; conservation laws can be used to support or invalidate proposed reactions

ACMMM007

recognise features of the graphs of \(y=x^2\), \(y=a{(x-b)}^2+c\), and \(y=a\left(x-b\right)\left(x-c\right)\) including their parabolic nature, turning points, axes of symmetry and intercepts

ACEEA204

using strategies for planning and refining work such as editing for consistent use of common punctuation.

ACEEE056

using an effective editing processes and appropriate referencing in the presentation of work.

ACHAH344

The nature and contribution of other sources, to an understanding of Thucydides’ work and the Peloponnesian War

ACHAH346

Revised dating of decrees (for example Coinage and Thoudippus), and the implications for interpreting Thucydides’ work

ACMGM082

apply Euler’s formula, \(v+f-e=2\), to solve problems relating to planar graphs.

ACMMM021

recognise features of the graph of \(y^2=x\) including its parabolic shape and its axis of symmetry.

ACMSM066

prove divisibility results, such as \(3^{2n+4}-2^{2n}\) is divisible by 5 for any positive integer n.

ACSPH023

A system with thermal energy has the capacity to do mechanical work (that is, to apply a force over a distance); when work is done, the internal energy of the system changes

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 …

ACMSM080

use the modulus \(\left|z\right|\) of a complex number z and the argument \(Arg\;(z)\) of a non-zero complex number \(z\) and prove basic identities involving modulus and argument

ACSCH030

Ions are atoms or groups of atoms that are electrically charged due to an imbalance in the number of electrons and protons; ions are represented by formulae which include the number of constituent atoms and the charge of the ion (for example, O2–, SO …

ACMEM173

use technology to investigate the effect of the interest rate and the number of compounding periods on the future value of a loan or investment.

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