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
Rationale Mathematical Methods
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 much of the modern world. Statistics is concerned with …
Rationale | Mathematical Methods | Mathematics | Senior secondary curriculum
Rationale Specialist Mathematics
Rationale 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 much of the modern world. Statistics is concerned …
Rationale | Specialist Mathematics | Mathematics | Senior secondary curriculum
Rationale Essential Mathematics
Rationale 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 used to describe much of the physical world. Statistics is the …
Rationale | Essential Mathematics | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Essential Mathematics
For all content areas of Essential Mathematics, the proficiency strands of Understanding, Fluency, Problem solving and Reasoning from the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. Each …
Links to Foundation to Year 10 | Essential Mathematics | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Mathematical Methods
In Mathematical Methods, there is a strong emphasis on mutually reinforcing proficiencies in Understanding, Fluency, Problem solving and Reasoning. Students gain fluency in a variety of mathematical and statistical skills, including algebraic manipulations, …
Links to Foundation to Year 10 | Mathematical Methods | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Specialist Mathematics
For all content areas of Specialist Mathematics, the proficiency strands of the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. The strands of Understanding, Fluency, Problem solving and Reasoning …
Links to Foundation to Year 10 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Representation of General capabilities Essential 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 | Essential 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
Representation of General capabilities Mathematical Methods
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 | Mathematical Methods | Mathematics | Senior secondary curriculum
Representation of General capabilities Specialist 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 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM002
apply arithmetic operations according to their correct order
ACMEM002 | Content Descriptions | Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMSM131
examine slope (direction or gradient) fields of a first order differential equation
ACMSM131 | Content Descriptions | Unit 4 | Specialist 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
ACMSM130
solve simple first-order differential equations of the form \(\frac{dy}{dx}=f(x)\), differential equations of the form \(\frac{dy}{dx}=g\left(y\right)\) and, in general, differential equations of the form \(\frac{dy}{dx}=f\left(x\right)g\left(y\right)\) …
ACMSM130 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum