ACMGM084
investigate and solve practical problems to determine the shortest path between two vertices in a weighted graph (by trial-and-error methods only)
ACMGM084 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMSM005
determine and use the formulas for finding the number of elements in the union of two and the union of three sets.
ACMSM005 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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
ACMSM035 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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.
ACMSM060 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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
ACMSM106 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM112
derive the Cartesian equation of a path given as a vector equation in two dimensions including ellipses and hyperbolas
ACMSM112 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM106
interpret different forms of two-dimensional representations of three-dimensional objects, including nets and perspective diagrams
ACMEM106 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM066 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
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.
ACMEM126 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM139
describe the association between two numerical variables in terms of direction (positive/negative), form (linear/non-linear) and strength (strong/moderate/weak).
ACMEM139 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMGM053
describe an association between two numerical variables in terms of direction (positive/negative), form (linear/non-linear) and strength (strong/moderate/weak)
ACMGM053 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMMM045
use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) and the formula \(\begin{pmatrix}n\\r\end{pmatrix}=\frac{n!}{r!\left(n-r\right)!}\) for the number of combinations of \(r\) objects taken from a set of \(n\) distinct objects
ACMMM045 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMGM033
implement the statistical investigation process to answer questions that involve comparing the data for a numerical variable across two or more groups; for example, are Year 11 students the fittest in the school?
ACMGM033 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM035
determine the area of a triangle given two sides and an included angle by using the rule \(Area=\frac12ab\sin C\), or given three sides by using Heron’s rule, and solve related practical problems
ACMGM035 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM045
solve practical problems that involve finding the point of intersection of two straight-line graphs; for example, determining the break-even point where cost and revenue are represented by linear equations.
ACMGM045 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum