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ACMSM050

model periodic motion using sine and cosine functions and understand the relevance of the period and amplitude of these functions in the model.

ACMSM050 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMMM020

recognise features of the graphs of \(x^2+y^2=r^2\) and \(\left(x-a\right)^2+\left(y-b\right)^2=r^2\), including their circular shapes, their centres and their radii

ACMMM020 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM121

integrate expressions of the form \(\frac{\pm1}{\sqrt[{}]{a^2-x^2}}\) and \(\frac a{a^2+x^2}\)

ACMSM121 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACMEM174

use technology and a recurrence relation to model a reducing balance loan

ACMEM174 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum

ACMGM057

model a linear relationship by fitting a least-squares line to the data

ACMGM057 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM058

use a residual plot to assess the appropriateness of fitting a linear model to the data

ACMGM058 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMMM143

use a Bernoulli random variable as a model for two-outcome situations

ACMMM143 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM063

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

ACMSM063 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

ACSPH076

A wave model explains a wide range of light-related phenomena including reflection, refraction, total internal reflection, dispersion, diffraction and interference; a transverse wave model is required to explain polarisation

ACSPH076 | Content Descriptions | Unit 2 | Physics | Science | Senior secondary curriculum

ACMGM042

interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation

ACMGM042 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM092

fit a least-squares line to model long-term trends in time series data.

ACMGM092 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

ACMMM138

recognise uniform discrete random variables and use them to model random phenomena with equally likely outcomes

ACMMM138 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM146

use Bernoulli random variables and associated probabilities to model data and solve practical problems. 

ACMMM146 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACSPH017

The kinetic particle model describes matter as consisting of particles in constant motion, except at absolute zero

ACSPH017 | Content Descriptions | Unit 1 | Physics | Science | Senior secondary curriculum

ACSPH071

The mechanical wave model can be used to explain phenomena related to reflection and refraction (for example, echoes, seismic phenomena)

ACSPH071 | Content Descriptions | Unit 2 | Physics | Science | Senior secondary curriculum

ACSPH075

A ray model of light may be used to describe reflection, refraction and image formation from lenses and mirrors

ACSPH075 | Content Descriptions | Unit 2 | Physics | Science | Senior secondary curriculum

ACSPH146

High-energy particle accelerators are used to test theories of particle physics including the Standard Model

ACSPH146 | Content Descriptions | Unit 4 | Physics | Science | Senior secondary curriculum

ACSPH147

The Standard Model is used to describe the evolution of forces and the creation of matter in the Big Bang theory

ACSPH147 | Content Descriptions | Unit 4 | Physics | Science | Senior secondary curriculum

ACMMM011

recognise features of the graph of the general quadratic \(y=ax^2+bx+c\)

ACMMM011 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM067

define the imaginary number i as a root of the equation \(x^2=-1\)

ACMSM067 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum

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