The aim of Mathematics at KMHS is for students to be confident users and communicators of mathematics, and to be able to investigate and interpret the world around them. Students need to be able pose and solve problems, and recognise the connections between mathematics and other disciplines. Mathematics is an important aspect of lifelong learning.We strive for a positive learning environment in all mathematics classrooms, with a particular focus on high personal achievement.


KMHS Mathematics Pathways
Students exhibit a wide range of mathematical skills and aspirations. Some students may need to develop the mathematical skills necessary to function in daily life. Other students may seek to address more challenging mathematics to prepare them for the highest-level courses in Year 11 and Year 12.

Mathematics is a compulsory subject in Years 7 -10. For this reason, Stage 5 has been expressed in terms of the three sub-stages, Stage 5.1, Stage 5.2 and Stage 5.3. As well as studying the Stage 5.1 content, the majority of students will study some or all of the Stage 5.2 content. Similarly, as well as studying the Stage 5.2 content, some students will study some or all of the Stage 5.3 content. The Stage 5.3 course is the highest level of mathematics studied in years 7-10. Movement between the sub-stages is possible, and all decisions are made on case by case basis.

Stage 6 Subjects

Mathematics Standard

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course (Category B) or the Mathematics Standard 2 Year 12 course (Category A). Mathematics Standard 1 candidates require consultation with the Head Teacher Mathematics and Careers Advisor.

Topics included in this course:

  • Algebra (Year 11 & 12)
  • Measurement (Year 11 & 12)
  • Financial Mathematics (Year 11 & 12)
  • Statistical Analysis (Year 11 & 12)
  • Networks (Year 12)

Mathematics Standard Year 12 Options

NOTE: Student must sit optional HSC exam to be ATAR eligible in this course.
The HSC Mathematics Standard 1 course is designed to promote the development of knowledge, skills and understanding in areas of mathematics that have direct application to the broad range of human activity, including a range of post-school pathways requiring a variety of mathematical and statistical techniques.

Mathematics Advanced

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.

Topics included in this course:

  • Functions (Year 11 & 12)
  • Trigonometric Functions (Year 11 & 12)
  • Calculus (Year 11 & 12)
  • Statistical Analysis (Year 11 & 12)
  • Exponential and Logarithmic Functions (Year 11)
  • Financial Mathematics (Year 12)

Mathematics Extension 1

Prerequisites: For students who intend to study the Mathematics Extension 1 course, consultation with Head Teacher Mathematics is required.
The Mathematics Extension 1 course content is comprised of seven Topics, with the Topics divided into Subtopics.

The Topics are:

  • Trigonometric Functions (Year 11 & 12)
  • Calculus (Year 11 & 12)
  • Functions (Year 11)
  • Combinatorics (Year 11)
  • Proof (Year 12)
  • Vectors Statistical Analysis (Year 12)