Year 12 Maths Extension 1

Core Program

Our HSC Year 12, 3 Units Maths – Extension 1 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, 3 Units Maths – Extension 1
  • 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
  • Experienced educators
Course Outline


Term 1
Week 1 — Proof by Mathematical Induction
Week 2 — Vectors in Two Dimensions I
Week 3 — Vectors in Two Dimensions II
Week 4 — Vectors in Two Dimensions III: Scalar Product
Week 5 — Review and Consolidation
Week 6 — Projectile Motion (I): Vector Analysis
Week 7 — Projectile Motion (II): Applying Calculus to Motion of Projectile
Week 8 — Solving Projectile Problems (I)
Week 9 — More on Solving Projectile Problems (II)
Week 10 — Integration (I): Method of Substitution

Term 2
Week 1 — Integration (I): Substitution and Other Techniques
Week 2 — Integration (II): Trigonometric Identities
Week 3 — Derivatives of Inverse Functions Including Inverse Trigonometric Functions
Week 4 — Integration Involving Inverse Trigonometric Functions
Week 5 — Week 1 — Volumes of Solids of Revolution
Week 6 — Review and Consolidation
Week 7 — Differential Equations (I)
Week 8 — Differential Equations (II)
Week 9 — Differential Equations (III)
Week 10 — Differential Equations (IV)

Term 3
Week 1 — Binomial Probability Distribution (I)
Week 2 — Binomial Probability Distribution (II)
Week 3 — Special Discrete Distributions: The Bernoulli and Binomial
Week 4 — Applications of Normal Distribution: Normal Approximation
Week 5 — Estimation and Inference in Statistics
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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