Does this subject contribute to an ATAR? (General subject)

How many credits does this subject contribute towards QCE? 4

## What is Mathematical Methods?

Mathematical Methods' major domains are Algebra, Functions, relations and their graphs, Calculus and Statistics.

Mathematical Methods enables students to see the connections between mathematics and other areas of the curriculum and apply their mathematical skills to real-world problems, becoming critical thinkers, innovators and problem-solvers.

Students learn topics that are developed systematically, with increasing levels of sophistication, complexity and connection, and build on algebra, functions and their graphs, and probability from the P –10 Australian Curriculum. Calculus is essential for developing an understanding of the physical world. The domain Statistics is used to describe and analyse phenomena involving uncertainty and variation. Both are the basis for developing effective models of the world and solving complex and abstract mathematical problems.

Students develop the ability to translate written, numerical, algebraic, symbolic and graphical information from one representation to another. They make complex use of factual knowledge to successfully formulate, represent and solve mathematical problems.

### What makes a student suited to Mathematical Methods?

Students who achieve success in Mathematical Methods are those who :

- are required to do further mathematics and are motivated to be successful
- are able to use complex algebra
- are able to manage their time and are successful in tests

### What prerequisites must students meet in order to take this subject?

Minimum of B+ standard in Year 9 Mathematics Extension### What is the cost of this subject?

- Nil - all costs covered by the Student Resource Scheme.

### What materials or equipment do I need for this subject?

- Scientific Calculator
- Graphics Calculator
- BYOD laptop
- A4 exercise book for class use
- Internet Access for digital textbook access

## What do students study in this subject and how are they assessed?

Unit Overviews | Assessment | ||

Year 10 | Semester 1 | Pythagoras and trigonometry Chance and Statistics Data Representation and interpretation Measurement and geometric proofs | Summative internal assessment 1: · Problem-solving and modelling task Summative internal assessment 2: · End of semester examination |

Semester 2 | Linear and non-linear relationships Patterns and algebra Financial mathematics Arithmetic and geometric sequences Introduction to rates of change | Summative internal assessment 3: · Problem-solving and modelling task Summative internal assessment 4: · End of year examination | |

Year 11 | Unit 1 | Algebra, statistics and functions • Arithmetic and geometric sequences and series 1 • Functions and graphs • Counting and probability • Exponential functions 1 • Arithmetic and geometric sequences | Formative internal assessment 1: 20% • Problem-solving and modelling task Formative internal assessment 2: 15% • Examination |

| Unit 2 | Calculus and further functions • Exponential functions 2 • The logarithmic function 1 • Trigonometric functions 1 • Introduction to differential calculus • Further differentiation and applications 1 • Discrete random | Formative internal assessment 3: 15% • Examination Formative internal assessment 4: 50% • Examination |

Year 12 | Unit 3 | Further calculus • The logarithmic function 2 • Further differentiation and applications 2 • Integrals | Summative internal assessment 1 (IA1): 20% • Problem-solving and modelling task Summative internal assessment 2 (IA2): 15% • Examination |

| Unit 4 | Further functions and statistics • Further differentiation and applications 3 • Trigonometric functions 2 • Discrete random variables 2 • Continuous random variables and the normal distribution • Interval estimates for proportions | Summative internal assessment 3 (IA3): 15% • Examination Summative external assessment (EA): 50% • Examination |