# HSC Maths General 2 Syllabus

First of all, HSC Maths General 2 is produced for stage 6 Mathematics General syllabus. It is especially designed for students with a wide range of abilities who differ substantially in their knowledge and understanding for mathematics accordnigly.

# Key Features of HSC Maths General 2

- HSC course divided into smaller manageable topics to assist teaching
- Step-by-step worked examples to encourage independent learning
- Clear design with appropriate diagrams and tables
- Lesson reviews containing a summary plus short-answer review questions
- Area of study and outcomes listed at the beginning of each lesson
- Extensive exercises that cater for students at different levels
- Each section and exercise is easily accessible at the top of the page
- Important concepts highlighted for easy reference

## Mathematics is deeply embedded in modern society

Because from the numeracy skills required to manage personal finances, to making sense of data in various forms, to leading-edge technologies in

- the sciences and engineering,
- mathematics provides the framework for interpreting,
- analysing and predicting,
- the tools for effective participation in an increasingly complex society.

### Interpret the large volumes of data

Thus the need to interpret the large volumes of data made available through technology draws on skills in logical thought and skills in checking claims and assumptions in a systematic way. Mathematics also is the appropriate training ground for the development of these skills.

### advanced mathematical training

The thinking required to enhance further the power and usefulness of technology in real-world applications requires advanced mathematical training. The rapid advances in technology experienced in recent years driven, and been driven by, advances in the discipline of mathematics.

### development of mathematics throughout history

The development of mathematics throughout history has catalysed by its utility in explaining real-world phenomena and its inherent beauty. Therefore, the discipline has continued to evolve through a process of observation, conjecture, proof and application.

### Development of mathematical competence

Effective participation in a changing society enhanced by the development of mathematical competence in contextualised problem-solving. Thus experience in such problem-solving is gained by students gathering, analysing and interpreting mathematical information, and applying mathematics to model situations as well.

### Creative Thinking

The opportunities for creative thinking, communication and contextualised problem-solving within

- the Preliminary Mathematics General course,
- the HSC Maths General 2 course and
- the HSC Mathematics General 1 course

assist students in finding solutions for the broad range of problems encountered in life beyond secondary schooling.

Hence, the purpose of the courses is to provide an appropriate mathematical background for students who wish to enter occupations that require the use of a variety of mathematical and statistical techniques. As well as introducing some new mathematical content, since the various Focus Studies within the courses give students the opportunity to apply, of course. And of course to develop further, the knowledge, skills and understanding initially furthermore developed in the various Strands:

- Financial Mathematics,
- Data and Statistics,
- Measurement,
- Probability, and
- Algebra and Modelling.

Through the Focus Studies, students develop the capacity to integrate their knowledge, skills and understanding across the Strands in contemporary contexts chosen for their ongoing relevance to the students’ everyday lives and likely vocational pathways.

### HSC Maths General 2 Course

First of all, the Preliminary Mathematics General course, the HSC Mathematics General 2 course and the HSC Mathematics General 1 course highly contextualised. The Preliminary Mathematics General course contains the five Strands as well as two Focus Studies: Mathematics and Communication, and Mathematics and Driving. It is structured to provide

appropriate pathways to both the HSC Mathematics General 2 course and the HSC Mathematics General 1 course.

#### Preliminary Mathematics General

Preliminary Mathematics General provides an appropriate course of study for students who have demonstrated competence in mathematics up to and including at least Stage 5.1 by the end of Year 10. The two Focus Studies within the course have designed for one-third of the course time.

#### HSC Mathematics General 2

The HSC Maths General 2 course almost has written on the assumption that students have demonstrated a high level of competence in the Preliminary Mathematics General course of course. Either the two Focus Studies within the course – Mathematics and Health, and Mathematics and Resources – have designed for another one-third of the course time.

While the course provides students with the opportunity to develop an understanding of and competence in further aspects of mathematics through a large variety of real-world applications for a range of concurrent HSC studies. Therefore, for instances, they are in the life sciences, the humanities and business studies thereafter. Because the course also provides a strong foundation for vocational pathways, as in the workforce and in further training, and due to university courses in the humanities, nursing and paramedical sciences.

#### HSC Maths General 1

The HSC Mathematics General 1 course has written to meet the needs of students who have demonstrated competence in the Preliminary Maths General course thereafter consequently.

#### The four Focus Studies within the course

- Mathematics and Design
- Mathematics and Household Finance
- Mathematics and the Human Body
- Mathematics and Personal Resource Usage

So the course provides students with the opportunity to develop an understanding of and also competence in further aspects of mathematics through a large variety of real-world applications for concurrent HSC studies. For example, they are finally consequently as in vocational education and as well as training courses, as a result other practically oriented courses, and therefore in addition some humanities courses, and for of course vocational pathways, in the workforce or in further training as well.

#### Course Materials

#### Credit and Borrowing - Reducing Balance Loans

- Calculating Values of Loan Repayments
- Loan Balance sheet
- Calculating Repayments in a Table
- Comparing different factors of Loans
- Effective Interest Rate
- Applications of Effective Interest Rate
- Calculating amount owed
- Credit card statements
- reading a Table for a Reducing Balance Loan
- using a Table for a Reducing Balance Loan
- Graphs of Reducing Balance Loan

#### Algebraic Skills and Techniques

- Substitution and Evaluation
- Adding and Substracting Like Terms
- Multiplying and Dividing of Algebraic Terms
- Solving Equations
- Equations with Fractions
- Solving Equations after Substitution
- Solving Equations with one Fraction
- Equations with more than one Fraction
- Changing the Subject of the Formula
- Scientific Notation Standard Form