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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

ACMGM087

construct time series plots

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

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

ACMGM107

use the critical path to determine the minimum time for a project to be completed

ACMGM089

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

ACMGM091

deseasonalise a time series by using a seasonal index, including the use of spreadsheets to implement this process

ACMGM092

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

ACMGM093

implement the statistical investigation process to answer questions that involve the analysis of time series data.

ACMGM105

use forward and backward scanning to determine the earliest starting time (EST) and latest starting times (LST) for each activity in the project

ACMGM047

interpret piece-wise linear and step graphs used to model practical situations; for example, the tax paid as income increases, the change in the level of water in a tank over time when water is drawn off at different intervals and for different periods …

ACMGM097

use a recurrence relation to model a reducing balance loan and investigate (numerically or graphically) the effect of the interest rate and repayment amount on the time taken to repay the loan

ACMGM006

apply percentage increase or decrease in various contexts; for example, determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage …

ACMGM088

describe time series plots by identifying features such as trend (long term direction), seasonality (systematic, calendar-related movements), and irregular fluctuations (unsystematic, short term fluctuations), and recognise when there are outliers; for …

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