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Course No: 11255 Year 11, 15255 Year 12
Course Description
Course Description
The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.
All students studying the Mathematics Advanced course will sit for an HSC examination.
What Students Learn
What Students Learn
The study of Mathematics Advanced in Stage 6:
Enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
Provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs
Provides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoning
Provides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role
Provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.
Please read through the questions below to determine if they address any concerns you have regarding subject choices. For any question that is not addressed here, you are encouraged to raise it via the Live Events link found on the home page.
Who should I contact if I have further questions?
Who should I contact if I have further questions?
You can contact Ms Doyle (Head of Mathematics) for more information.
Is Mathematics Advanced hard?
Is Mathematics Advanced hard?
Yes, the course is quite challenging as it contains calculus and assumes you have covered the 5.3 content in Stage 5. However, it is also very rewarding for those who are willing to put in the extra time outside of the classroom.
I am studying Mathematics 5.2 in Year 10, should I be considering Mathematics Advanced?
I am studying Mathematics 5.2 in Year 10, should I be considering Mathematics Advanced?
No, you should not, unless you have covered the extra 5.3 topics in Year 10 and achieve a satisfactory result in the end of Term 3 examination in Year 10. Mathematics Advanced presumes knowledge from the Mathematics 5.3 course in Year 10 and students who have not completed this course in Year 10 will struggle to succeed at this level.
How much time should I expect to put into this subject outside of school?
How much time should I expect to put into this subject outside of school?
For success in Mathematics Advanced, students would need to aim to complete 30 minutes of homework each night or approximately three hours a week. Students who are deterred by this amount of homework should consider whether or not this is the right subject for them.
How is WCCS supporting Mathematics course choices?
How is WCCS supporting Mathematics course choices?
From 2020, WCCS will be placing students in Mathematics courses based on their performance, with a particular focus on their Year 10 results. If students wish to select challenging courses like Mathematics Advanced, then they are reminded that they need to demonstrate their capabilities in Year 10 assessments. Students who fail to demonstrate their capacity for Mathematics Advanced will be required to do so for the remainder of Year 10 if they would like to be considered at the end of the year. In this way we are seeking to motivate students to work to their personal best and demonstrate readiness for this challenging course.
Student Testimonial
Student Testimonial
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Important NESA Information
Important NESA Information
2 units for each of Year 11 and Year 12
Board Developed Course
Exclusions: Mathematics Standard 1 or Mathematics Standard 2
Prerequisites
Prerequisites
The Mathematics Advanced Year 11 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 and Stage 5.2, the following substrands of Stage 5.3:
Algebraic techniques, Surds and indices, Equations, Linear relationships, Trigonometry and Pythagoras’ theorem, Single variable data analysis
and at least some of the content from the following substrands of Stage 5.3:
Non-linear relationships, Properties of Geometrical Shapes.
Course Description
Course Description
The Mathematics Advanced course is a calculus based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality.
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.
All students studying the Mathematics Advanced course will sit for an HSC examination.
Main Topics Covered
Main Topics Covered
Year 11 Course
Topic: Functions
Working with Functions
Topic: Trigonometric Functions
Trigonometry and Measure of Angles
Trigonometric Functions and Identities
Topic: Calculus
Introduction to Differentiation
Topic: Exponential and Logarithmic Functions
Logarithms and Exponentials
Topic: Statistical Analysis
Probability and Discrete Probability Distributions
Year 12 Course
Topic: Functions
Graphing Techniques
Topic: Trigonometric Functions
Trigonometric Functions and Graphs
Topic: Calculus
Differential Calculus
The Second Derivative
Integral Calculus
Topic: Financial Mathematics
Modelling Financial Situations
Topic: Statistical Analysis
Descriptive Statistics and Bivariate Data Analysis
Random Variables
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