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Chifley College Senior Campus

Chifley College Senior Campus

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Mathematics Advanced

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 all students with the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 and above of the Australian Core Skills Framework.


The Mathematics Advanced Year 11 course content is comprised of five topics, with the topics divided into subtopics. The Mathematics Advanced Year 12 course content includes five topics, with the topics divided into subtopics.

Year 11:

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:

Topic: Functions

  • Graphing Techniques

Topic: Trigonometric Functions

  • Trigonometric Functions and Graphs

Topic: Calculus

  • Differential Calculus
  • The Second DerivativeIntegral Calculus

Topic: Financial Mathematics

  • Modelling Financial Situations

Topic: Statistical Analysis

  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables

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 and Stage 5.2, and some of the content and outcomes of some substrands of 5.3.

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 course 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 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.