Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Extension 1 11–12 Syllabus (2024)

Implementation from 2026
Expand for detailed implementation advice

Overview

Course description

Mathematics Extension 1 focuses on the development of students mathematical arguments and proofs, and use of mathematical models. The course allows students to develop a thorough knowledge and understanding of and competence in further aspects of mathematics as an extension of the Mathematics Advanced 11–12 course.

What students learn

Through the study of Mathematics Extension 1, students:

  • develop thorough knowledge, understanding and skills in Working mathematically and in communicating concisely and precisely
  • develop rigorous mathematical arguments and proofs, and use mathematical models extensively
  • develop awareness of the interconnected nature of mathematics, its beauty and its functionality
  • gain an appropriate mathematical background for future pathways that may involve mathematics and its applications.

Course structure and requirements

Year 11 course structure
Area of studyFocus area
Functions

Further work with functions

Polynomials

Trigonometric functionsFurther trigonometry
Combinatorics

Permutations and combinations

The binomial theorem

Year 12 course structure
Area of studyFocus area
ProofProof by mathematical induction
VectorsIntroduction to vectors
Trigonometric functionsInverse trigonometric functions
Calculus

Further calculus skills

Further applications of calculus

Statistical analysisThe binomial distribution and sampling distribution of the mean
Safety and risk management

Schools are required to ensure they follow Loading  in delivering the Mathematics Extension 1 11–12 Syllabus.

Course enrolment details

Further information for Mathematics Extension 1 Year 11

  • Course number: 11250
  • Course hours: 60
  • Course units: 1
  • Enrolment type: Elective
  • Endorsement type: Board developed
Exclusions
  • Mathematics Standard (Year 11, 2 units): 11236
  • Mathematics Life Skills (Year 11, 2 units): 17680
Prerequisites
  • Nil
Corequisites
  • Mathematics Advanced (Year 11, 2 units): 11255

Further information for Mathematics Extension 1 Year 12

  • Course number: 15250
  • Course hours: 60
  • Course units: 1
  • Enrolment type: Elective
  • Endorsement type: Board developed
Exclusions
  • Mathematics Standard 1 (Year 12, 2 units): 15231
  • Mathematics Standard 1 (examination) (Year 12, 2 units): 15232
  • Mathematics Standard 2 (Year 12, 2 units): 15236
  • Mathematics Life Skills (Year 12, 2 units): 17680
Prerequisites
  • Mathematics Advanced (Year 11, 2 units): 11255
  • Mathematics Extension 1 (Year 11, 1 unit) 11250
Corequisites
  • Mathematics Advanced (Year 12, 2 units): 15255

HSC information

Information about curriculum requirements for the HSC are available on Assessment Certification Examination (ACE).