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NSW Syllabuses

Mathematics Extension 1 Stage 6 Course Description

Course No: TBC

1 unit Year 11 (Preliminary) Board Developed Course
1 unit Year 12 (HSC) Board Developed Course

Prerequisites:

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 Years 7–10 Syllabus and in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional substrands:

  • Polynomials
  • Logarithms
  • Circle Theorems
  • Functions and Other Graphs.

Exclusions:

Students may not study the Mathematics Standard Year 11 course in conjunction with the Mathematics Extension 1 Year 11 course, or either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course in conjunction with the Mathematics Extension 1 Year 12 course.

Course Description

  • All students studying the Mathematics Extension 1 course will sit for an HSC examination.
  • 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.
  • The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.

The study of Mathematics Advanced in Stage 6:

  • enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensively
  • provides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionality
  • provides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at a tertiary level
  • provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas a science, engineering, finance and economics.

Content

The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics. The Mathematics Extension 1 Year 12 course content includes the Topics Trigonometric Functions and Calculus continued from Year 11 and introduces three different Topics. The Topics and Subtopics are:

Year 11

Topic: Functions

  • Further Work with Functions
  • Polynomials

Topic: Trigonometric Functions

  • Inverse Trigonometric Functions
  • Further Trigonometric Identities

Topic: Calculus

  • Rates of Change

Topic: Combinatorics

  • Working with Combinatorics

Year 12

Topic: Proof

  • Proof by Mathematical Induction

Topic: Vectors

  • Introduction to Vectors

Topic: Trigonometric Functions

  • Trigonometric Equations

Topic: Calculus

  • Further Calculus Skills
  • Applications of Calculus

Topic: Statistical Analysis

  • The Binomial Distribution