Stage 6 - Mathematics Extension 1*


Course Overview

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 study of Mathematics Extension 1 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 as science, engineering, finance and economics.
Course Content

Year 11

  • Further work with functions
  • Polynomials
  • Further trigonometry
  • Permutations and combinations
  • The binomial theorem

Year 12

  • Proof by mathematical induction
  • Introduction to vectors
  • Inverse trigonometric functions
  • Further calculus skills
  • Further applications of calculus
  • The binomial distribution and sampling distribution of the mean
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
  • 2 hour paper
Prerequisite Knowledge & Skills

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 core and pathway topics covered in the Express Course, including every topic covered in the Functions, polynomials and other graphs pathway.

It is preferred that students entering into the Mathematics Extension 1 Course will have performed in the top 20% of the Year 10 Mathematics Express Course and be willing to work a minimum of 60 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.

Standard Advanced Extension
Numerate Citizen
•
Access All Areas
•
•
Express
•
•
•

Prerequisite for entry to Preliminary HSC Mathematics Advanced: Year 10

Express Course - Grade Required Access All Areas Course - Grade Required Numerate Citizen Course - Grade Required
A or B
N/A
N/A

*Students who choose Mathematics Extension 1 must also choose Mathematics


MATHEMATICS EXTENSION 2

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