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Board Developed Course - 1 Unit for each of Preliminary and HSC
Corequisites:
Mathematics Advanced (2 units – Year 11)
Mathematics Advanced (2 units – Year 12)
Exclusions: Students may not study Mathematics Standard 1 or 2 course in conjunction with the Mathematics Extension 1 course.
Course description
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
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.
Year 11 course
Functions
Further work with functions
Polynomials
Trigonometric functions
Further trigonometry
Combinatorics
Permutations and combinations
The binomial theorem
Year 12 course
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
Mathematics Extension 1 HSC examination specifications
The examination will consist of a written paper worth 70 marks.
Time allowed: 2 hours plus 10 minutes reading time.
A reference sheet will be provided.
NESA-approved calculators may be used.
The paper will consist of two sections.
Section I (10 marks)
There will be objective-response questions to the value of 10 marks.
Section II (60 marks)
Questions may contain parts.
There will be 23 to 28 items.
At least one item will be worth 4 or 5 marks.
Industries related to Mathematics Extension 1
Industries related to Mathematics Extension 1
The knowledge and skills developed in this course can be applied across a range of career pathways.
Industries related to this course include, but are not limited to, the following outlined on the Your Career website:
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