ACMMM137
use relative frequencies obtained from data to obtain point estimates of probabilities associated with a discrete random variable
ACMMM137 | 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
ACMMM164
use relative frequencies and histograms obtained from data to estimate probabilities associated with a continuous random variable
ACMMM164 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
Glossary General Mathematics
General Mathematics Glossary
Glossary | General Mathematics | Mathematics | Senior secondary curriculum
Rationale Specialist Mathematics
Rationale Mathematics is the study of order, relation and pattern. From its origins in counting and measuring it has evolved in highly sophisticated and elegant ways to become the language now used to describe much of the modern world. Statistics is concerned …
Rationale | Specialist Mathematics | Mathematics | Senior secondary curriculum
Glossary Essential Mathematics
Essential Mathematics Glossary
Glossary | Essential Mathematics | Mathematics | Senior secondary curriculum
Glossary Mathematical Methods
Mathematical Methods Glossary
Glossary | Mathematical Methods | Mathematics | Senior secondary curriculum
Glossary Specialist Mathematics
Specialist Mathematics Glossary
Glossary | Specialist Mathematics | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Essential Mathematics
For all content areas of Essential Mathematics, the proficiency strands of Understanding, Fluency, Problem solving and Reasoning from the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. Each …
Links to Foundation to Year 10 | Essential Mathematics | Mathematics | Senior secondary curriculum
Structure of Specialist Mathematics Specialist Mathematics
Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …
Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMGM095
calculate the effective annual rate of interest and use the results to compare investment returns and cost of loans when interest is paid or charged daily, monthly, quarterly or six-monthly
ACMGM095 | Content Descriptions | Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
ACMSM143
use \(\overline x\) and \(s\) to estimate \(\mu\) and \(\sigma\), to obtain approximate intervals covering desired proportions of values of a normal random variable and compare with an approximate confidence interval for \(\mu\)
ACMSM143 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMMM173
use graphical displays of simulated data to investigate the variability of random samples from various types of distributions, including uniform, normal and Bernoulli.
ACMMM173 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Specialist Mathematics
For all content areas of Specialist Mathematics, the proficiency strands of the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. The strands of Understanding, Fluency, Problem solving and Reasoning …
Links to Foundation to Year 10 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Structure of Mathematical Methods Mathematical Methods
Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …
Structure of Mathematical Methods | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMGM027
classify a categorical variable as ordinal, such as income level (high, medium, low), or nominal, such as place of birth (Australia, overseas), and use tables and bar charts to organise and display the data
ACMGM027 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMSM127
use numerical integration using technology \(f\left(t\right)=\lambda e^{-\lambda t}\) for \(t\geq0\) of the exponential random variable with parameter \(\lambda>0,\), and use the exponential random variables and associated probabilities and quantiles …
ACMSM127 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMGM062
distinguish between interpolation and extrapolation when using the fitted line to make predictions, recognising the potential dangers of extrapolation
ACMGM062 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM065
identify possible non-causal explanations for an association, including coincidence and confounding due to a common response to another variable, and communicate these explanations in a systematic and concise manner.
ACMGM065 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMEM043
identify examples of categorical data
ACMEM043 | Content Descriptions | Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum