Year 12 Maths Advanced

Core Program

Our HSC Year 12, 2 Units Maths – Advanced course cover key topics, reinforce foundations and focus on typical examinations questions, so students will be more confident at school.

Our term courses are scheduled in line with public school term dates. There are 3 terms per year for Year 12 students and usually 10 lessons per term, with one lesson each week. You can commence our courses at any time, however a new term starts in late January, April, July and October.

Our courses enable students to:

  • Develop all skills and knowledge to fulfil syllabus objectives and outcomes
  • Acquire an extensive range of problem-solving strategies and techniques to maximise exam results
  • Develop and foster self-discipline and efficient study habits
  • Turn hard work and efforts into visible rewards

Our course fees are inclusive of all learning materials. Each lesson includes an experienced educator teaching learning concepts and examples, students completing exercises and homework tasks to reinforce concepts.

We offer face-to-face and online learning options.

Join us for Tuition that Works. For further information, please contact us.

Course Structure
  • Year 12, 2 Units Maths – Advanced
  • 3 terms in a year for Year 12 students
  • 10 weeks in a term
  • 2 hour lessons per week, during term
  • Students attend lessons at their allocated time schedule
  • Small class group based
  • Registered teachers
Course Outline


Term 1
Week 1 — Sinusoids and Transformations
Week 2 — Trigonometric Equations
Week 3 — Differentiation (I): Trigonometric Functions
Week 4 — Differentiation (II): Exponential and Logarithmic Functions
Week 5 — Review and Consolidation
Week 6 — Applications of Differentiation (I): Stationary Points, and the Second Derivative
Week 7 — Applications of Differentiation (II): Maxima, Minima, and Curve Sketching
Week 8 — Applications of Differentiation (III): Optimization
Week 9 — Integration (I): Indefinite Integral, and the Primitive Function
Week 10 — Integration (II): Definite Integrals

Term 2
Week 1 — Definite Integrals (I): Fundamental Theorem of Calculus
Week 2 — Definite Integrals (I): Finding Areas Bound by Curves
Week 3 — Numerical Integration: The Trapezoidal Rule
Week 4 — Applications of Calculus (I): Rates Of Change
Week 5 — Applications of Calculus (II): Displacement, Velocity and Acceleration
Week 6 — Applications of Calculus (III): Further Displacement, Velocity And Acceleration
Week 7 — Sequences and Series (I): Arithmetic and Geometric Progression
Week 8 — Sequences and Series (II): Applications of AP and GP
Week 9 — Financial Mathematics: Superannuation and Time-Repayment
Week 10 — Statistical Analysis (I): Introduction to Statistics

Term 3
Week 1 — Statistical Analysis (II): Organising Data for Analysis
Week 2 — Bivariate Data Analysis (I): Measure of Central Tendency and Spread
Week 3 — Bivariate Data Analysis (II): Measure of Positions
Week 4 — Continuous Random Variables and Normal Distribution
Week 5 — Bivariate Data Analysis (III)
Week 6 — General Revision (I)
Week 7 — General Revision (II)
Week 8 — Trial Examination (I)
Week 9 — Trial Examination (II)
Week 10 — Trial Examination (III)

  • On Campus

  • North Shore ONLINE
    Online learning
    at your own pace

  • North Shore LIVE
    (Zoom Classes)

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