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ACSCH029

Chemical bonds are caused by electrostatic attractions that arise because of the sharing or transfer of electrons between participating atoms; the valency is a measure of the number of bonds that an atom can form

ACSCH097

Acids are substances that can act as proton (hydrogen ion) donors and can be classified as monoprotic or polyprotic depending on the number of protons donated by each molecule of the acid

ACMSM036

When a secant (meeting the circle at \(A\) and \(B\)) and a tangent (meeting the circle at \(T\)) are drawn to a circle from an external point \(M\), the square of the length of the tangent equals the product of the lengths to the circle on the secant. …

ACEEA179

using a growing range of strategies for planning and refining work, including editing for correct simple tenses, common punctuation, and a variety of simple and compound sentences.

ACSPH096

When a mass moves or is moved from one point to another in a gravitational field and its potential energy changes, work is done on or by the field

ACSPH105

When a charged body moves or is moved from one point to another in an electric field and its potential energy changes, work is done on or by the field

ACHAH289

The contribution of scholars and contemporary Egyptian and international historians, for example Champollion’s decipherment of hieroglyphs, and the work of Lepsius, Thomas Young, Gardiner, Cerny and Wilkinson

ACHMH037

The emergence of key ideas and ideologies that supported or challenged the Industrial Revolution, for example capitalism; liberalism; laissez–faire; Chartism; socialism; the commodification of labour; and the Protestant work ethic

ACMGM043

construct and analyse a straight-line graph to model a given linear relationship; for example, modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.

ACMGM094

use a recurrence relation to model a compound interest loan or investment, and investigate (numerically or graphically) the effect of the interest rate and the number of compounding periods on the future value of the loan or investment

ACSCH021

Isotopes are atoms of an element with the same number of protons but different numbers of neutrons; different isotopes of elements are represented using atomic symbols (for example, \({}_6^{12}C\), \({}_6^{13}C\)

ACSCH039

A mole is a precisely defined quantity of matter equal to Avogadro’s number of particles; the mole concept and the Law of Conservation of Mass can be used to calculate the mass of reactants and products in a chemical reaction

ACSCH063

The concentration of a solution is defined as the amount of solute divided by the amount of solution; this can be represented in a variety of ways including by the number of moles of the solute per litre of solution (mol L-1) and the mass of the solute …

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, …

ACMSM086

identify subsets of the complex plane determined by relations such as \(\left|z-3i\right|\leq4\) \(\frac\pi4\leq Arg(z)\leq\frac{3\pi}4\), \(Re\left(z\right)>Im(z)\) and \(\left|z-1\right|=2\vert z-i\vert\)

ACMSM136

consider and solve problems involving motion in a straight line with both constant and non-constant acceleration, including simple harmonic motion and the use of expressions \(\frac{dv}{dt}\), \(v\frac{dv}{dx}\) and \(\frac{d(\frac12v^2)}{dx}\) for a …

ACSPH065

Energy is conserved in isolated systems and is transferred from one object to another when a force is applied over a distance; this causes work to be done and changes to kinetic and/or potential energy of objects

ACHAH040

The nature of the sources most relevant to these interpretations and representations, for example Josephus Flavius’ The Jewish War, written and archaeological evidence for Roman military tactics and siege warfare, and the excavation work of Yigael Ya …

ACHAH286

Research and recording work, including the Epigraphic Survey of the Oriental Institute of Chicago, the Theban Mapping Project, the further excavations of KV5 (Kent Weeks), and the discovery of KV63 (Otto Schaden)

ACHAH360

The nature and purpose of Tacitus’ writing of The Annals, including his use of contemporary sources (the minutes of the Senate, decrees, speeches of Tiberius) and the limitations of Tacitus’ work related to the missing and incomplete nature of Books V, …

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