ACMGM042
interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation
ACMGM042 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM043
construct and analyse a straight-line graph to model a given linear relationship; for example, modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.
ACMGM043 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM044
solve a pair of simultaneous linear equations, using technology when appropriate
ACMGM044 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM045
solve practical problems that involve finding the point of intersection of two straight-line graphs; for example, determining the break-even point where cost and revenue are represented by linear equations.
ACMGM045 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM046
sketch piece-wise linear graphs and step graphs, using technology when appropriate
ACMGM046 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
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 …
ACMGM047 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM048
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.
ACMGM048 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM049
construct two-way frequency tables and determine the associated row and column sums and percentages
ACMGM049 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM050
use an appropriately percentaged two-way frequency table to identify patterns that suggest the presence of an association
ACMGM050 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM051
describe an association in terms of differences observed in percentages across categories in a systematic and concise manner, and interpret this in the context of the data.
ACMGM051 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM052
construct a scatterplot to identify patterns in the data suggesting the presence of an association
ACMGM052 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM053
describe an association between two numerical variables in terms of direction (positive/negative), form (linear/non-linear) and strength (strong/moderate/weak)
ACMGM053 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM054
calculate and interpret the correlation coefficient (r) to quantify the strength of a linear association.
ACMGM054 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM055
identify the response variable and the explanatory variable
ACMGM055 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM056
use a scatterplot to identify the nature of the relationship between variables
ACMGM056 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM057
model a linear relationship by fitting a least-squares line to the data
ACMGM057 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM058
use a residual plot to assess the appropriateness of fitting a linear model to the data
ACMGM058 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM059
interpret the intercept and slope of the fitted line
ACMGM059 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM060
use the coefficient of determination to assess the strength of a linear association in terms of the explained variation
ACMGM060 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM061
use the equation of a fitted line to make predictions
ACMGM061 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum