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1 Unit
1 Unit
Preliminary and HSC
Board Developed Course
Board Developed Course
ATAR
ATAR
Yes
Hours Studied
Hours Studied
240
Course Criteria
Course Criteria
A strong performance in Stage 5 Mathematics is recommended
Assumed Knowledge
Assumed Knowledge
Year 10 Stage 5 Pathways
Exclusions
Exclusions
Mathematics Standard
Additional Requirements
Additional Requirements
Students must be enrolled in Mathematics Advanced
Course Overview
Course Overview
Mathematics Advanced and Mathematics Extension 1 are calculus-based courses that progressively increase in challenge and require a high level of algebraic fluency. Each course builds on the skills and knowledge developed in previous years and explores mathematical concepts in greater depth.
Mathematics Advanced and Mathematics Extension 1 are calculus-based courses that progressively increase in challenge and require a high level of algebraic fluency. Each course builds on the skills and knowledge developed in previous years and explores mathematical concepts in greater depth.
The content of both courses is specific, but also interconnected, with key mathematical skills and ideas embedded throughout. Studying a higher-level course can often strengthen understanding of the foundational skills covered in the lower-level course.
The content of both courses is specific, but also interconnected, with key mathematical skills and ideas embedded throughout. Studying a higher-level course can often strengthen understanding of the foundational skills covered in the lower-level course.
For students who are uncertain about which course is most suitable, it is often recommended to begin with the higher-level course. Even if a student later moves to a different level, the experience gained can lead to improved confidence and stronger results.
For students who are uncertain about which course is most suitable, it is often recommended to begin with the higher-level course. Even if a student later moves to a different level, the experience gained can lead to improved confidence and stronger results.
Mathematics Extension 1, which includes all content from Mathematics Advanced, is designed for students who have demonstrated strong achievement in Stage 5 Mathematics and who have a keen interest in exploring more advanced mathematical concepts and techniques.
Mathematics Extension 1, which includes all content from Mathematics Advanced, is designed for students who have demonstrated strong achievement in Stage 5 Mathematics and who have a keen interest in exploring more advanced mathematical concepts and techniques.
Units of Study
Units of Study
Preliminary Course:
Functions
Further work with Functions
Polynomials
Trigonometric Functions
Further Trigonometry
Combinatorics
Permutations and Combinations
The binomial theorem
HSC Course:
Trigonometric Functions
Inverse Trigonometric Functions
Calculus
Further calculus skills
Further applications of calculus
Vectors
Introduction to Vectors
Proof
Proof by Mathematical Induction
Statistical Analysis
The binomial distribution and the sampling distribution of the mean
Assessment
Assessment
The Preliminary Course consists of three school-based assessments. HSC Internal Assessment consists of four school-based assessments. Assessment tasks will be equally focused on understanding, fluency and communication and problem solving, reasoning and justification. The Year 11 content will be assumed knowledge and may be used to examine Year 12 outcomes.
HSC External Assessment consists of one 2-hour examination.
Other Requirements
Other Requirements
The Mathematics Extension 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the NSW Mathematics Year 7-10 Syllabus and in particular, the content and outcomes of all sub strands in Stage 5.1, Stage 5.2 and Stage 5.3, including the optional sub strands Polynomials, Logarithms, Functions and Other Graphs and Circle Geometry.
To enrol in Mathematics Extension 1, students must also enrol in Mathematics Advanced and will have a total of 3 units of mathematics.
Employment/University Opportunities
Employment/University Opportunities
Studying Mathematics Extension 1 provides students with a strong foundation in mathematical reasoning, logical thinking and problem-solving. These are highly valued skills across many fields of employment and areas of further study.
This course is particularly beneficial for students who intend to pursue university degrees in areas such as engineering, computer science, actuarial studies, data science, mathematics and the physical sciences. It also supports studies in architecture, economics and commerce, where advanced quantitative and analytical skills are often required.
At many universities, Mathematics Extension 1 is recommended or assumed knowledge for mathematics-related subjects in the first year of study. Completing this course can help students transition more confidently into tertiary study, especially in degrees that involve a significant mathematical component.
Beyond specific university requirements, Mathematics Extension 1 develops a range of transferable skills, including critical thinking, attention to detail and persistence. These qualities are valued in a wide variety of careers and professional environments.
Additional Information
Additional Information
If you would like more information about this Mathematics Extension 1 course, please contact the Leader of Learning Mathematics:
Ms Gretel Fortmann: gretel.fortmann@dbb.catholic.edu.au
You are welcome to visit the Mathematics Department to discuss further.
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