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ACMSM013

use the triangle rule to find the sum and difference of two vectors.

ACMSM021

examine properties of parallel and perpendicular vectors and determine if two vectors are parallel or perpendicular

ACMSM105

determine a vector equation of a straight line and straight-line segment, given the position of two points, or equivalent information, in both two and three dimensions

use set language and notation for events, including \(\overline A\) (or \(A'\)) for the complement of an event \(A,\) \(A?B\) for the intersection of events \(A\) and \(B\), and \(A?B\) for the union, and recognise mutually exclusive events

ACMEM106

interpret different forms of two-dimensional representations of three-dimensional objects, including nets and perspective diagrams

ACMGM017

review Pythagoras’ Theorem and use it to solve practical problems in two dimensions and for simple applications in three dimensions.

ACMGM049

construct two-way frequency tables and determine the associated row and column sums and percentages

ACMGM050

use an appropriately percentaged two-way frequency table to identify patterns that suggest the presence of an association

ACMGM064

recognise that an observed association between two variables does not necessarily mean that there is a causal relationship between them

ACMGM084

investigate and solve practical problems to determine the shortest path between two vertices in a weighted graph (by trial-and-error methods only)

ACMSM005

determine and use the formulas for finding the number of elements in the union of two and the union of three sets.

ACMSM035

When two chords of a circle intersect, the product of the lengths of the intervals on one chord equals the product of the lengths of the intervals on the other chord

ACMSM060

establish geometric results by matrix multiplications; for example, show that the combined effect of two reflections in lines through the origin is a rotation.

ACMSM106

examine the position of two particles each described as a vector function of time, and determine if their paths cross or if the particles meet

ACMSM112

derive the Cartesian equation of a path given as a vector equation in two dimensions including ellipses and hyperbolas

ACSPH022

Two systems in contact transfer energy between particles so that eventually the systems reach the same temperature; that is, they are in thermal equilibrium

ACSPH131

The special theory of relativity is based on two postulates: that the speed of light in a vacuum is an absolute constant, and that all inertial reference frames are equivalent

ACMGM066

implement the statistical investigation process to answer questions that involve identifying, analysing and describing associations between two categorical variables or between two numerical variables; for example, is there an association between attitude …

ACMEM126

interpret the point of intersection and other important features of given graphs of two linear functions drawn from practical contexts; for example, the ‘break-even’ point.

ACMEM139

describe the association between two numerical variables in terms of direction (positive/negative), form (linear/non-linear) and strength (strong/moderate/weak).

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Curriculum Elements Types