Stage 6 - Mathematics (Advanced)


Course Overview

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 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.
Course Content

Year 11

  • Working with Functions
  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities
  • Introduction to Differentiation
  • Logarithms and Exponentials
  • Probability and Discrete Probability Distributions

Year 12

  • Graphing Techniques
  • Trigonometric Functions and Graphs
  • Differential Calculus
  • The Second Derivative
  • Integral Calculus
  • Modelling Financial Situations
  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables
Assessment

A variety of formal and informal assessment for learning, assessment as learning and assessment of learning tasks, including written examinations, assignments and/or investigation style tasks.

HSC Examination
  • 3 hour paper
Prerequisite Knowledge & Skills

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.


Students should be willing to work a minimum of 30 minutes/night on this subject. Students who do not meet one of the prerequisites (below) must make written application to the Assistant Head of Secondary: Teaching and Learning.

Prerequisite for entry to Year 11 HSC Mathematics: Year 10

5.3 Pathway Grade Required 5.2 Pathway Grade Required 5.1 & 5.1 Pathway Grade Required
​A, B or C
A
N/A

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