Mathematics is the universal language used by everyone, everywhere.
Mathematics provides students with the opportunity to develop their knowledge, understanding and skills in numeracy and working mathematically. Students have the opportunity to develop increasingly sophisticated and refined mathematical understanding, fluency, communication, reasoning, analytical thought and problem-solving skills. These capabilities enable students to respond to familiar and unfamiliar situations by employing strategies to make informed decisions and solve problems relevant to their present and future needs.
Mathematics Standard 1
Number of units: 2
NESA Developed: Yes
ATAR Eligible: Yes
Course Costs* (approximate, subject to conditions and approval):
Including potential excursions, consumables and other relevant costs*
Preliminary: $0.00
HSC: $0.00
Overview
A course for students who intend to finish school with an appropriate mathematical background for entering the workforce and/or undertaking further community and workplace training.
This course covers the same topics with reduced depth to the HSC Mathematics Standard 2 course.
Preliminary Course (Year 11)
Financial Maths - Earning Money, Tax, Interest, Depreciation and Household Expenses
Classifying, Presenting, Exploring and Describing Data
Using Formulas and Solving Equations
Networks
Linear Relationships
Perimeter, Area and Volume
Time and Location
HSC Course (Year 12)
Algebra and Equations
Financial Investments, Depreciation and Loans
Right Angled Triangles
Rates
Data & Statistics
Networks and Paths
Typical school-based Course Assessment
Preliminary Course (Year 11)
Finance and Data Test
Equations, Networks and Equations Test
End of Course Exam
HSC Course (Year 12)
Algebra Test
Finance Test
Mid Course Exam
Trial HSC Exam
HSC Exam - Optional
Duration: 2 hours
Typical format: multi choice, short answer
Possible vocational/career pathways
Hair Dresser, Electrical, Plumbing, Cabinetry, Automotive, Carpentry and other Trades
Retail
Australian Defence Forces
Nursing/Midwifery
Early Childhood Education
Tertiary prerequisite possibilities
Standard 1 Maths would assist in learning the assumed knowledge of some Tertiary possibilities, but is not usually a prerequisite.
Past Student challenges
Students who find basic Maths concepts challenging
Students who do not require the Maths skills beyond what they have already achieved through Minimum Standards
(Level 3 - completed in Year 10)
Students who do well in/enjoy this subject:
Are motivated students wishing to increase their mathematical understanding
Ask questions
Use class time effectively
Complete independent learning tasks and homework
Mathematics Standard 2
Number of units: 2
NESA Developed: Yes
ATAR Eligible: Yes
Course Costs* (approximate, subject to conditions and approval):
Including potential excursions, consumables and other relevant costs*
Preliminary: $0.00
HSC: $0.00
Course Overview
This course equips students with practical mathematical skills for real-world applications and decision-making. The course covers topics like Algebra, Measurement, Statistics, Probability and Networks.
Preliminary Course (Year 11)
Financial Maths - Earning Money, Tax, Interest, Depreciation and Household Expenses
Classifying, Presenting, Exploring and Describing Data
Using Formulas and Solving Equations
Networks
Linear Relationships
Perimeter, Area and Volume
Time and Location
HSC Course (Year 12)
Algebra and Equations
Financial Investments, Loans and Annuities
Non-right Angled Trigonometry
Rates & Ratios
Data & Statistics
Networks and Critical Paths
Typical school-based Course Assessment:
Preliminary Course (Year 11)
Finance and Data Test
Equations, Networks and Equations Test
End of Course Exam
HSC Course (Year 12)
Algebra Test
Finance Test
Mid Course and Trial HSC Exams
HSC Exam
Duration: 2.5 hours
Typical format: 15 x multi choice, 25 x short answer {100 marks}
Possible vocational/career pathways
Health - Nursing, Physio, Occupational Therapy
Education
Real Estate
Banking
Tertiary prerequisite possibilities
Paramedics
Sports and Exercise Science
General IT or Digital Media
Past Student challenges
Completing learning outside the classroom - unwillingness to do so consistently throughout the entirety of the course, not just when approaching exam periods
Different concepts have different challenges for different students
Lack of Algebra skills acquired in Stage 5
Students who do well in/enjoy this subject:
Looking to achieve an ATAR goal
Studied Maths advanced or did well in Maths Standard in Stage 5 (C Grade or higher)
Mathematics Advanced
Number of units: 2
NESA Developed: Yes
ATAR Eligible: Yes
Course Costs* (approximate, subject to conditions and approval):
Including potential excursions, consumables and other relevant costs*
Preliminary: $0.00
HSC: $0.00
Course Overview
Students develop mathematical ways of thinking in which problems are explored through observation, algebra skills and reasoning.
Preliminary Course (Year 11)
Algebra, Equations and Inequalities
Working with Functions
Trigonometry
Introduction to Calculus - Differentiation
Exponentials and Logarithm Functions
Transformations of Functions
Probability and Data
HSC Course (Year 12)
Graphing Trigonometric Functions
Calculus
Financial Mathematics
Typical school-based Course Assessment:
Preliminary Course (Year 11)
Algebra and Functions Test
Trigonometry and Differentiation Test
End of Course Exam
HSC Course (Year 12)
Topic Test
Calculus Test
Mid Course and Trial HSC Exams
HSC Exam
Duration: 3 hours
Typical format: multi choice, short answer/extended response
Possible vocational/career pathways
Engineering
Medicine
Pharmaceutical
Statistical analysis
Tertiary prerequisite possibilities
STEM Fields
(Science, Technology, Engineering & Maths)
Economics, Commerce and Finance
Past Student challenges
Large volume and pace of syllabus content
Skills in critical thinking, analysing and communicating with effective notation
Lack of engagement with study during personal-time, up to 6+ hours per week
Competent Stage 5 knowledge of Algebra, Indices and Surds
Students who do well in/enjoy this subject:
Enjoy Mathematics
Are interested in solving problems
Are hard-workers and high-achievers
Are able to work independently and follow explicit instruction
Mathematics Extension 1
Number of units: 1
NESA Developed: Yes
ATAR Eligible: Yes
Course Costs* (approximate, subject to conditions and approval):
Including potential excursions, consumables and other relevant costs*
Preliminary: $0.00
HSC: $0.00
Course Overview
The concepts of calculus are the basis of this course. Students will study Combinations and Binomial expansion, Polynomials, 3-Dimensional Trigonometry and Trigonometric Identities. Students will examine how to conduct Mathematical Proofs, explore Vectors and Projectile Motion, and graph Inverse Trigonometric Functions.
Preliminary Course (Year 11)
Further Inequalities
Permutations, Combinations and Binomial Theorem
Functions and Graphs
Polynomials and Inverse Functions
Trigonometric Identities
HSC Course (Year 12)
Mathematical Proofs by induction
Vectors and Projectiles
Trigonometric Functions
Calculus
Typical school-based Course Assessment
Preliminary Course (Year 11)
Combinatorics and Inequalities Test
Trigonometric Identities Test
End of Course Exam
HSC Course (Year 12)
Topic Test
Calculus test
Mid Course Exam
Trial HSC Exam
HSC Exam
Duration: 2 hours
Typical format: multi choice, extended response
Possible vocational/career pathways
Engineering
Medicine
Pharmaceutical
Statistical analysis
Tertiary prerequisite possibilities
STEM Fields
(Science, Technology, Engineering & Maths)
Economics, Commerce and Finance
Robotics
Past Student challenges
High amount of syllabus content
Skills in critical thinking, analysing and communicating with effective notation
Requires a lot of independent study during personal-time
Some classes may run off the timetable (Before/After school or during breaks)
Students who do well in/enjoy this subject:
Enjoy Mathematics
Are interested in solving problems
Are hard-workers and high-achievers
Are able to work independently and follow explicit instruction
Set and achieve academic and personal goals
Are well-organised
Mathematics Extension 2 (HSC Only)
Number of units: 1
NESA Developed: Yes
ATAR Eligible: Yes
Course Costs* (approximate, subject to conditions and approval):
Including potential excursions, consumables and other relevant costs*
Preliminary: $0.00
HSC: $0.00
Course Overview
Mathematics Extension 2 can only be studied if you are continuing to study Extension 1 for the HSC and if you are achieving reasonable results in the Extension 1 course. The course teacher &/or KLA Leader will liaise with a student and their family with advice for suitability. This is a 1 unit time allocation which will contribute towards 2 of your HSC units.
You know about positive numbers and you know about negative numbers, did you know that there are numbers above and below the number line? Mathematics Extension 2 introduces you to such concepts.
No Preliminary Course (Year 11)
HSC Course (Year 12)
Complex and Imaginary Numbers
Harder Proofs
Further Vectors
Calculus
Mechanics
Typical school-based Course Assessment
HSC Course (Year 12)
Complex Numbers Assignment
Mid Course Exam
Calculus Topic Test
Trial HSC Exam
HSC Exam
Duration: 3 hours
Typical format: multi choice, short answer/extended response
Possible vocational/career pathways
Aeronautical & Astrophysicists
Engineering
Medicine & Pharmaceutical
Research & Data Scientists
Tertiary prerequisite possibilities
Data Science & Cryptography
Economics and Econometrics
Past Student challenges
High amount of syllabus content
Requires mostly independent study during personal-time
Some classes may run off the timetable (Before/After school or during breaks)
Students who do well in/enjoy this subject:
Have achieved well in Mathematics Extension 1
Enjoy Mathematics
Are efficient at solving problems
Are hard-workers and high-achievers
Set and achieve academic and personal goals
Are well-organised and intrinsically motivated