Year 12 Mathematical Methods
Prepare for Year 12 Mathematical Methods with a course designed specifically for South Australian students. The content follows a clear, structured sequence that closely aligns with the topics, terminology and resources commonly used in SA schools.
Explore differential and integral calculus, including differentiation rules, stationary points, kinematics, areas between functions and problem solving, before building your understanding of probability and statistics through random variables, sampling and confidence intervals.
Each section includes easy-to-follow theory videos, worked application examples, practice worksheets and detailed solutions, plus topic cheat sheets and exam preparation resources.
Created by experienced mathematics educators and high-achieving former students, this course gives you the guidance, practice and flexibility to work confidently through the subject and prepare for assessments at your own pace.
Course Curriculum
- Differential Calculus - Chapter Introduction
- Differential Calculus - Cheat Sheet
- 1A: First Principles - Theory (36:02)
- 1A: First Principles - Application (29:59)
- 1A: First Principles - Practice Worksheet
- 1B: Simple Rules of Differentiation - Theory (19:06)
- 1B: Simple Rules of Differentiation - Application (14:43)
- 1B: Simple Rules of Differentiation - Practice Worksheet
- 1C: The Chain Rule - Theory (14:19)
- 1C: The Chain Rule - Application (23:10)
- 1C: The Chain Rule - Practice Worksheet
- 1D: The Product Rule - Theory (11:55)
- 1D: The Product Rule - Application (23:56)
- 1D: The Product Rule - Practice Worksheet
- 1E: The Quotient Rule - Theory (14:24)
- 1E: The Quotient Rule - Application (19:53)
- 1E: The Quotient Rule - Practice Worksheet
- 1F: Derivatives of Exponential Functions - Theory (9:45)
- 1F: Derivatives of Exponential Functions - Application (15:52)
- 1F: Derivatives of Exponential Functions - Practice Worksheet
- 1G: Derivatives of Logarithmic Functions - Theory (14:51)
- 1G: Derivatives of Logarithmic Functions - Application (15:27)
- 1G: Derivatives of Logarithmic Functions - Practice Worksheet
- 1H: Derivatives of Trigonometric Functions - Theory (10:20)
- 1H: Derivatives of Trigonometric Functions - Application (16:31)
- 1H: Derivatives of Trigonometric Functions - Practice Worksheet
- 1I: Second Derivatives - Theory (9:18)
- 1I: Second Derivatives - Application (18:32)
- 1I: Second Derivatives - Practice Worksheet
- Applications of Differential Calculus - Chapter Introduction
- Applications of Differential Calculus - Cheat Sheet
- 3A: Equations of Tangents - Theory (19:12)
- 3A: Equations of Tangents - Application (26:21)
- 3A: Equations of Tangents - Practice Worksheet
- 3B: Stationary Points - Theory (42:44)
- 3B: Stationary Points - Application (37:15)
- 3B: Stationary Points - Practice Worksheet
- 3C: Inflections & Shape - Theory (42:39)
- 3C: Inflections & Shape - Application (72:55)
- 3C: Inflections & Shape - Practice Worksheet
- 3D: Kinematics - Theory (58:43)
- 3D: Kinematics - Application (61:29)
- 3D: Kinematics - Practice Worksheet
- 3E: Rates of Change - Theory (31:34)
- 3E: Rates of Change - Application (39:14)
- 3E: Rates of Change - Practice Worksheet
- 3F: Optimisation - Theory (39:50)
- 3F: Optimisation - Application (51:10)
- 3F: Optimisation - Practice Worksheet
- Integration - Chapter Introduction
- Integration - Cheat Sheet
- 4A: The Area Under a Curve - Theory (62:35)
- 4A: The Area Under a Curve - Application (38:50)
- 4A: The Area Under a Curve - Practice Worksheet
- 4B: Antidifferentiation - Theory (19:29)
- 4B: Antidifferentiation - Application (16:55)
- 4B: Antidifferentiation - Practice Worksheet
- 4C: The Fundamental Theorem of Calculus - Theory (30:32)
- 4C: The Fundamental Theorem of Calculus - Application (21:00)
- 4C: The Fundamental Theorem of Calculus - Practice Worksheet
- 4D: Integration - Theory (30:56)
- 4D: Integration - Application (25:03)
- 4D: Integration - Practice Worksheet
- 4E: Rules for Integration - Theory (27:37)
- 4E: Rules for Integration - Application (16:12)
- 4E: Rules for Integration - Practice Worksheet
- 4F: Integrating f(ax+b) - Theory (23:11)
- 4F: Integrating f(ax+b) - Application (16:23)
- 4F: Integrating f(ax+b) - Practice Worksheet
- 4G: Definite Integrals - Theory (18:02)
- 4G: Definite Integrals - Application (20:35)
- 4G: Definite Integrals - Practice Worksheet
- Discrete Random Variables - Chapter Introduction
- Discrete Random Variables - Cheat Sheet
- 7A: Random Variables - Theory (11:19)
- 7A: Random Variables - Application (13:12)
- 7A: Random Variables - Practice Worksheet
- 7B: Discrete Probability Distributions - Theory (22:03)
- 7B: Discrete Probability Distributions - Application (17:30)
- 7B: Discrete Probability Distributions - Practice Worksheet
- 7C: Expected Value - Theory (44:15)
- 7C: Expected Value - Application (22:55)
- 7C: Expected Value - Practice Worksheet
- 7D: Variance & Standard Deviation - Theory (12:26)
- 7D: Variance & Standard Deviation - Application (25:28)
- 7D: Variance & Standard Deviation - Practice Worksheet
- 7E: Properties of aX+b - Theory (13:48)
- 7E: Properties of aX+b - Application (16:25)
- 7E: Properties of aX+b - Practice Worksheet
- 7F: The Bernoulli Distribution - Theory (13:53)
- 7F: The Bernoulli Distribution - Application (14:29)
- 7F: The Bernoulli Distribution - Practice Worksheet
- 7G: The Binomial Distribution - Theory (26:54)
- 7G: The Binomial Distribution - Application (29:52)
- 7G: The Binomial Distribution - Practice Worksheet
Choose a membership tier
Both tiers are available with weekly, monthly, and annual membership options, so you can choose the plan that works best for you.
| Feature | Foundation | Mastery |
|---|---|---|
| Course videos | ✓ | ✓ |
| Worksheets and solutions | ✓ | ✓ |
| Topic cheat sheets | ✓ | ✓ |
| Examination preparation | ✓ | ✓ |
| Personalised subject support | ✕ | ✓ |
| Assignment draft feedback | ✕ | ✓ |
| Weekly support submissions | ✕ | ✓ |
| 24/7 access to subject matter experts | ✕ | ✓ |
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