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ACMSM062

express rational numbers as terminating or eventually recurring decimals and vice versa

ACMSM100

sketch the graphs of simple rational functions where the numerator and denominator are polynomials of low degree.

Unit 2 of Specialist Mathematics contains three topics – ‘Trigonometry’, ‘Real and complex numbers’ and ‘Matrices’… ‘Trigonometry’ contains techniques that are used in other topics in both this unit and Unit 3. ‘Real and complex numbers’ provides a continuation …

Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM061

prove simple results involving numbers.

Links to Foundation to Year 10 Mathematical Methods

In Mathematical Methods, there is a strong emphasis on mutually reinforcing proficiencies in Understanding, Fluency, Problem solving and Reasoning. Students gain fluency in a variety of mathematical and statistical skills, including algebraic manipulations, …

Links to Foundation to Year 10 | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 3 Specialist Mathematics

Unit 3 of Specialist Mathematics contains three topics: ‘Vectors in three dimensions’, ‘Complex numbers’ and ‘Functions and sketching graphs’. The study of vectors was introduced in Unit 1 with a focus on vectors in two-dimensional space. In this unit, …

Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMSM063

prove irrationality by contradiction for numbers such as \(\sqrt[{}]2\) and \(\log_25\)

ACMEM009

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

ACMSM068

use complex numbers in the form a+bi where a and b are the real and imaginary parts

ACMSM071

consider complex numbers as points in a plane with real and imaginary parts as Cartesian coordinates

ACMSM072

examine addition of complex numbers as vector addition in the complex plane

ACMSM084

examine and use addition of complex numbers as vector addition in the complex plane

ACMSM088

determine and examine the \(n^{th}\) roots of complex numbers and their location in the complex plane.

ACMSM082

define and use multiplication, division, and powers of complex numbers in polar form and the geometric interpretation of these

ACMMM047

recognise the numbers \(\begin{pmatrix}n\\r\end{pmatrix}\) as binomial coefficients, (as coefficients in the expansion of \(\left(x+y\right)^n)\)

ACSBL024

Keystone species play a critical role in maintaining the structure of the community; the impact of a reduction in numbers or the disappearance of keystone species on an ecosystem is greater than would be expected based on their relative abundance or total …

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, \({}_6^{12}C\), \({}_6^{13}C\)

Unit 1 Specialist Mathematics

Unit 1 of Specialist Mathematics contains three topics – ‘Combinatorics’, ‘Vectors in the plane’ and ‘Geometry’ – that complement the content of Mathematical Methods. The proficiency strand, Reasoning, of the F–10 curriculum is continued explicitly in …

Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Unit 1: Biodiversity and the interconnectedness of life Biology

The current view of the biosphere as a dynamic system composed of Earth’s diverse, interrelated and interacting ecosystems developed from the work of eighteenth and nineteenth century naturalists, who collected, classified, measured and mapped the distribution …

Unit 1 | Biology | Science | Senior secondary curriculum

Senior secondary Mathematics subjects

The Senior Secondary Australian Curriculum: Mathematics consists of four subjects in mathematics, with each subject organised into four units. The subjects are differentiated, each focusing on a pathway that will meet the learning needs of a particular …

Senior secondary Mathematics subjects | Mathematics | Senior secondary curriculum

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