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
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
ACMGM012
use a spreadsheet or an equivalent technology to construct a table of values from a formula, including two-by-two tables for formulas with two variable quantities; for example, a table displaying the body mass index (BMI) of people of different weights …
ACMGM012 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM021
review the conditions for similarity of two-dimensional figures including similar triangles
ACMGM021 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM022
use the scale factor for two similar figures to solve linear scaling problems
ACMGM022 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM017
review Pythagoras’ Theorem and use it to solve practical problems in two dimensions and for simple applications in three dimensions.
ACMGM017 | Content Descriptions | Unit 1 | 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
ACMGM064
recognise that an observed association between two variables does not necessarily mean that there is a causal relationship between them
ACMGM064 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM084
investigate and solve practical problems to determine the shortest path between two vertices in a weighted graph (by trial-and-error methods only)
ACMGM084 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM066
implement the statistical investigation process to answer questions that involve identifying, analysing and describing associations between two categorical variables or between two numerical variables; for example, is there an association between attitude …
ACMGM066 | 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
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?
ACMGM033 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
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
ACMGM035 | 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