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Representation of General capabilities Mathematical Methods

The seven general capabilities of Literacy, Numeracy, Information and Communication technology (ICT) capability, Critical and creative thinking, Personal and social capability, Ethical understanding, and Intercultural understanding are identified where …

Representation of General capabilities | Mathematical Methods | Mathematics | Senior secondary curriculum

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

Rationale Mathematical Methods

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 with …

Rationale | Mathematical Methods | Mathematics | Senior secondary curriculum

Unit 4 Mathematical Methods

The calculus in this unit deals with derivatives of logarithmic functions. In probability and statistics, continuous random variables and their applications are introduced and the normal distribution is used in a variety of contexts. The study of statistical …

Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM055

use relative frequencies obtained from data as point estimates of probabilities.

Glossary Mathematical Methods

Mathematical Methods Glossary

Glossary | Mathematical Methods | 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

ACMMM060

use relative frequencies obtained from data as point estimates of conditional probabilities and as indications of possible independence of events.

ACMMM136

understand the concepts of a discrete random variable and its associated probability function, and their use in modelling data

ACMMM146

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

ACMMM164

use relative frequencies and histograms obtained from data to estimate probabilities associated with a continuous random variable

ACMMM137

use relative frequencies obtained from data to obtain point estimates of probabilities associated with a discrete random variable

ACMMM173

use graphical displays of simulated data to investigate the variability of random samples from various types of distributions, including uniform, normal and Bernoulli.