Year 12 Mathematics Extension 1
A complete Year 12 Mathematics Extension 1 pathway aligned directly to the NSW Mathematics Extension 1 2024 syllabus (ME1-12-01 through ME1-12-06): Proof by Mathematical Induction, Introduction to Vectors, Inverse Trigonometric Functions, Further Calculus Skills, Further Applications of Calculus, and The Binomial Distribution and Sampling Distribution of the Mean.
All 6 units are now active: Proof by Mathematical Induction, Introduction to Vectors, Inverse Trigonometric Functions, Further Calculus Skills, Further Applications of Calculus, and The Binomial Distribution.
Units
7
Active lessons
42
Course type
Mathematics Extension 1
Active unit
AvailableProof by Mathematical Induction
4 active lessons
Learn induction structure, divisibility proofs, and inequality proofs using clear base-case and inductive-step reasoning.
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Active unit
AvailableIntroduction to Vectors
8 active lessons
Build vector notation, operations, dot products, projections and practical vector applications.
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Active unit
AvailableInverse Trigonometric Functions
5 active lessons
Study inverse sine, cosine and tangent functions, their restrictions, exact values, graphs and calculus links.
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Active unit
AvailableFurther Calculus Skills
5 active lessons
Planned differentiation and integration skills for Extension 1 study.
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Active unit
AvailableFurther Applications of Calculus
9 active lessons
Extension 1 calculus applications: related rates, exponential growth and decay, and simple harmonic motion.
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Active unit
AvailableThe Binomial Distribution and Sampling Distribution of the Mean
7 active lessons
Bernoulli trials, the binomial distribution B(n,p), expected value and variance, the sampling distribution of the sample mean x̄, and the Central Limit Theorem — covering ME1-12-06 in full.
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Active unit
AvailableRates of Change and Kinematics (Year 11 Ext 1)
4 active lessons
Year 11 Extension 1 content (ME1-11): use calculus to analyse straight-line motion — find velocity and acceleration by differentiation, and displacement by integration. Retained as a scaffolding entry point for students who need to build fluency before the Year 12 vector and calculus units.
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Part of online learning access
Unit overviews are public previews. Individual lessons use the same online learning access gate as the existing Year 12 Advanced course.