Course Description:
The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course. The course provides all students with the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 4 and above of the Australian Core Skills Framework.
Content:
The Mathematics Extension 1 Year 11 course content is comprised of four topics, with the topics divided into subtopics. The Mathematics Extension 1 Year 12 course content is comprised of five topics, with the topics divided into subtopics.
Year 11:
Topic: Functions
- Further Work with Functions
- Polynomials
Topic: Trigonometric Functions
- Inverse Trigonometric Functions
- Further Trigonometric Identities
Topic: Calculus
- Rates of Change
Topic: Combinatorics
- Working with Combinatorics
Year 12:
Topic: Proof
- Proof by Mathematical Induction
Topic: Vectors
- Introduction to Vectors
Topic: Trigonometric Functions
- Trigonometric Equations
Topic: Calculus
- Further Calculus Skills
- Applications of Calculus
Topic: Statistical Analysis
- The Binomial Distribution
Pre requisites:
This course has been developed on the assumption that students have studied the content and achieved the outcomes of the NSW Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3. This course also requires students to be achieving the outcomes stated in the Mathematics Advanced course.
How will this course help me in the future?
The teaching and learning aspects of this course are designed to develop a solid foundation of literacy and numeracy and promote the development of students’ values, identity and self-respect. This curse also provides opportunities for students to develop 21st century knowledge, skills, understanding, values and attitudes.
This course is specifically targeted at students with the objective to complete a STEM, finance or economic degree at university, obtain full-time employment, continuing their studies at TAFE, entering an apprenticeship/traineeship after school and for students with a personal interest in building on their stage 5 knowledge of mathematics.