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Representation of General capabilities General Mathematics

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 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM061

use the equation of a fitted line to make predictions

Unit 2 General Mathematics

This unit has three topics: ‘Univariate data analysis and the statistical investigation process’, ‘Linear equations and their graphs’; and ‘Applications of trigonometry’. ‘ Univariate data analysis and the statistical investigation process’ develops …

Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 3 General Mathematics

This unit has three topics: ‘Bivariate data analysis’, ‘Growth and decay in sequences’ and ‘Graphs and networks’. ‘Bivariate data analysis’ introduces students to some methods for identifying, analysing and describing associations between pairs of variables, …

Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM031

construct and use parallel box plots (including the use of the ‘Q1 – 1.5 x IQR’ and ‘Q3 + 1.5 x IQR’ criteria for identifying possible outliers) to compare groups in terms of location (median), spread (IQR and range) and outliers and to interpret and …

ACMGM069

deduce a rule for the nth term of a particular arithmetic sequence from the pattern of the terms in an arithmetic sequence, and use this rule to make predictions

ACMGM073

deduce a rule for the nth term of a particular geometric sequence from the pattern of the terms in the sequence, and use this rule to make predictions

Unit 1 General Mathematics

This unit has three topics: ‘Consumer arithmetic’, ‘Algebra and matrices’, and ‘Shape and measurement’. ‘Consumer arithmetic’ reviews the concepts of rate and percentage change in the context of earning and managing money, and provides a fertile ground …

Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum

Unit 4 General Mathematics

This unit has three topics: ‘Time series analysis’; ‘ Loans, investments and annuities’ and ‘Networks and decision mathematics’. ‘Time series analysis’ continues students’ study of statistics by introducing them to the concepts and techniques of time …

Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum

Structure of General Mathematics General Mathematics

General Mathematics is organised into four units. The topics in each unit broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic, …

Structure of General Mathematics | General Mathematics | Mathematics | Senior secondary curriculum

Rationale General Mathematics

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 many aspects of the world in the twenty-first century. …

Rationale | General Mathematics | Mathematics | Senior secondary curriculum

Glossary General Mathematics

General Mathematics Glossary

Glossary | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM058

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

ACMGM032

compare groups on a single numerical variable using medians, means, IQRs, ranges or standard deviations, as appropriate; interpret the differences observed in the context of the data; and report the findings in a systematic and concise manner

ACMGM030

determine the mean and standard deviation of a dataset and use these statistics as measures of location and spread of a data distribution, being aware of their limitations.

ACMGM089

smooth time series data by using a simple moving average, including the use of spreadsheets to implement this process

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

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

ACMGM062

distinguish between interpolation and extrapolation when using the fitted line to make predictions, recognising the potential dangers of extrapolation

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.

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