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ACMGM022

use the scale factor for two similar figures to solve linear scaling problems

ACMGM023

obtain measurements from scale drawings, such as maps or building plans, to solve problems

ACMGM024

obtain a scale factor and use it to solve scaling problems involving the calculation of the areas of similar figures

ACMGM025

obtain a scale factor and use it to solve scaling problems involving the calculation of surface areas and volumes of similar solids.

review the statistical investigation process; for example, identifying a problem and posing a statistical question, collecting or obtaining data, analysing the data, interpreting and communicating the results.

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

ACMGM028

classify a numerical variable as discrete, such as the number of rooms in a house, or continuous, such as the temperature in degrees Celsius

ACMGM029

with the aid of an appropriate graphical display (chosen from dot plot, stem plot, bar chart or histogram), describe the distribution of a numerical dataset in terms of modality (uni or multimodal), shape (symmetric versus positively or negatively skewed), …

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.

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 …

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

ACMGM033

implement the statistical investigation process to answer questions that involve comparing the data for a numerical variable across two or more groups; for example, are Year 11 students the fittest in the school?

ACMGM034

review the use of the trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle

ACMGM035

determine the area of a triangle given two sides and an included angle by using the rule \(Area=\frac12ab\sin C\), or given three sides by using Heron’s rule, and solve related practical problems

ACMGM036

solve problems involving non-right-angled triangles using the sine rule (ambiguous case excluded) and the cosine rule

ACMGM037

solve practical problems involving the trigonometry of right-angled and non-right-angled triangles, including problems involving angles of elevation and depression and the use of bearings in navigation.

ACMGM038

identify and solve linear equations

ACMGM039

develop a linear formula from a word description

ACMGM040

construct straight-line graphs both with and without the aid of technology

ACMGM041

determine the slope and intercepts of a straight-line graph from both its equation and its plot

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Cross Curriculum Priorities