How to
SPM Add Math Methods, Step by Step
Clear, step-by-step methods for the procedures SPM Additional Mathematics keeps testing, from completing the square to the chain rule, each with a worked example carried through.
Add Math rewards a reliable method more than a good memory. When you know the right steps for a procedure, and why each one works, you can handle an unfamiliar question by falling back on the method rather than guessing your way through it.
Each method page below breaks one procedure into clear numbered steps, carries a single original worked example all the way through so you see the method in action, lists the common mistakes to avoid, and points to the formulas it uses and the chapter it belongs to. The idea is not to memorise a script, but to understand a procedure well enough that you can reproduce it under exam pressure and adapt it when a question is dressed up in an unfamiliar way.
Methods
Vectors
Circular Measure
Coordinate Geometry
- Finding the area of a polygon from its vertices
- Dividing a line segment in a given ratio
- Finding the equation of a straight line
Integration
- Finding the area under a curve
- How to evaluate a definite integral
- How to integrate a polynomial
- How to find a volume of revolution
Progressions
Index Numbers
Permutation and Combination
Quadratic Functions
- How to Complete the Square
- How to sketch a quadratic graph
- How to Solve a Quadratic Inequality
- Using the Discriminant to Find the Nature of Roots
Functions
Kinematics of Linear Motion
Linear Programming
Indices, Surds and Logarithms
Differentiation
- Solving maximum and minimum problems
- How to use small changes and approximation
- Finding the equation of a tangent and a normal
- How to differentiate using the chain rule
- How to differentiate using the product rule
- How to differentiate using the quotient rule
Trigonometric Functions
Linear Law
Systems of Equations
Probability Distribution
Solution of Triangles
How to use these
Methods are best learned actively. Read a method once to see the shape of it, then close the page and try to reproduce the worked example from a blank sheet, the step you get stuck on is exactly the step worth practising.
Because Add Math is cumulative, many methods build on earlier ones (the chain rule assumes you can differentiate a power; solving a trigonometric equation assumes you know your identities), so if a method will not stick, the gap is often one layer down. Work through these alongside the chapter notes and worked examples, and use them to turn "I have seen this before" into "I can do this reliably".
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Do I have to pay to use these pages?
No. Every page here is free to read and use.
Our one-to-one tutoring is a separate paid service, the first lesson is a one-hour paid class at the teacher’s rate, from RM50/hour, never free.
How should I use these alongside a tutor?
Study the material here first and notice exactly where it stops making sense, then bring those specific questions to a lesson. An hour of teaching aimed at your real gaps is worth far more than an hour re-explaining what you already understand.