Unit 1 Mathematical Methods
This unit begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are …
Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 1 General Mathematics
This unit has three topics: ‘Consumer arithmetic’, ‘Algebra and matrices’, and ‘Shape and measurement’. ‘Consumer arithmetic’ reviews the concepts of rate and percentage change in the context of earning and managing money, and provides a fertile ground …
Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
Unit 2 Mathematical Methods
The algebra section of this unit focuses on exponentials and logarithms. Their graphs are examined and their applications in a wide range of settings are explored. Arithmetic and geometric sequences are introduced and their applications are studied. Rates …
Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 4 Specialist Mathematics
Unit 4 of Specialist Mathematics contains three topics: ‘Integration and applications of integration’, ‘Rates of change and differential equations’ and ‘Statistical inference’. In Unit 4, the study of differentiation and integration of functions continues, …
Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Structure of Mathematical Methods Mathematical Methods
Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …
Structure of Mathematical Methods | Mathematical Methods | 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
Structure of Specialist Mathematics Specialist Mathematics
Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …
Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM168
review the principles of simple interest
ACMEM168 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMSM091
solve simple polynomial equations.
ACMSM091 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM070
use ratio to describe simple scales.
ACMEM070 | Content Descriptions | Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM157
determine the probabilities associated with simple games
ACMEM157 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMSM061
prove simple results involving numbers.
ACMSM061 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM064
calculate simple interest for different rates and periods.
ACMEM064 | Content Descriptions | Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM158
determine the probabilities of occurrence of simple traffic-light problems.
ACMEM158 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM086
estimate numerically the value of a derivative, for simple power functions
ACMMM086 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM134
calculate the area between curves in simple cases
ACMMM134 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM043
solve equations involving trigonometric functions using technology, and algebraically in simple cases.
ACMMM043 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM067
solve equations involving exponential functions using technology, and algebraically in simple cases.
ACMMM067 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM139
examine simple examples of non-uniform discrete random variables
ACMMM139 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM157
solve simple equations involving logarithmic functions algebraically and graphically
ACMMM157 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum