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
Units 1 and 2 General Mathematics Achievement Standard
demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics, in routine and non-routine problems in a variety of contexts selects and applies techniques in mathematics and …
Units 1 and 2 | Achievement standards | 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
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
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
ACMGM082
apply Euler’s formula, \(v+f-e=2\), to solve problems relating to planar graphs.
ACMGM082 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM075
use a general first-order linear recurrence relation to generate the terms of a sequence and to display it in both tabular and graphical form
ACMGM075 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM076
recognise that a sequence generated by a first-order linear recurrence relation can have a long term increasing, decreasing or steady-state solution
ACMGM076 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM077
use first-order linear recurrence relations to model and analyse (numerically or graphically only) practical problems; for example, investigating the growth of a trout population in a lake recorded at the end of each year and where limited recreational …
ACMGM077 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum