Overview
Course description
Mathematics Extension 1 focuses on the development of students mathematical arguments and proofs, and use of mathematical models. The course allows students to develop a thorough knowledge and understanding of and competence in further aspects of mathematics as an extension of the Mathematics Advanced 11–12 course.
What students learn
Through the study of Mathematics Extension 1, students:
- develop thorough knowledge, understanding and skills in Working mathematically and in communicating concisely and precisely
- develop rigorous mathematical arguments and proofs, and use mathematical models extensively
- develop awareness of the interconnected nature of mathematics, its beauty and its functionality
- gain an appropriate mathematical background for future pathways that may involve mathematics and its applications.
Course structure and requirements
Mathematics Extension 1 consists of the courses Mathematics Extension 1 Year 11 and Mathematics Extension 1 Year 12. Students studying one or both Extension 1 and 2 courses must study both Mathematics Advanced Year 11 and Mathematics Extension 1 Year 11 courses before undertaking the study of Mathematics Extension 1 Year 12, or both Mathematics Extension 1 Year 12 and Mathematics Extension 2 Year 12. An alternative approach is for students to study both Mathematics Advanced Year 11 and Mathematics Advanced Year 12 before undertaking the study of Mathematics Extension 1 Year 11 and Mathematics Extension 1 Year 12, or both Mathematics Extension 1 Year 12 and Mathematics Extension 2 Year 12.
The course numbers and units for each year of study are set out below.
Course numbers:
- Mathematics Extension 1 (Year 11, 1 unit): TBA
- Mathematics Extension 1 (Year 12, 1 unit): TBA
Year 11 course structure
| Area of study | Focus area |
|---|---|
| Functions | Further work with functions Polynomials |
| Trigonometric functions | Further trigonometry |
| Combinatorics | Permutations and combinations The binomial theorem |
Year 12 course structure
| Area of study | Focus area |
|---|---|
| Proof | Proof by mathematical induction |
| Vectors | Introduction to vectors |
| Trigonometric functions | Inverse trigonometric functions |
| Calculus | Further calculus skills Further applications of calculus |
| Statistical analysis | The binomial distribution and sampling distribution of the mean |
Further information for Mathematics Extension 1 Year 11
- Course number: TBA
- Course hours: 60
- Course units: 1
- Enrolment type: Elective
- Endorsement type: Board developed
- Study via self-tuition: Yes
Exclusions
- Mathematics Standard (Year 11, 2 units): TBA
- Mathematics Life Skills (Year 11, 2 units): TBA
Further information for Mathematics Extension 1 Year 12
- Course number: TBA
- Course hours: 60
- Course units: 1
- Enrolment type: Elective
- Endorsement type: Board developed
- Study via self-tuition: Yes
Exclusions
- Mathematics Standard 1 (Year 12, 2 units): TBA
- Mathematics Standard 2 (Year 12, 2 units): TBA
- Mathematics Life Skills (Year 12, 2 units): TBA