IP AMaths Notes (Upper Sec, Year 3-4): 00) Overview
Download printable cheat-sheet (CC-BY 4.0)08 Nov 2025, 00:00 Z
Preparing for IP Additional Mathematics means stitching algebra, calculus, trigonometry, and applied modelling into one coherent toolkit. Use this index to decide which note you need today.
How to use these notes
- Skim the Key Skills table for each topic to confirm the target skills.
- Walk through the Worked Examples in order: they mirror the structure of typical school assignments and timed practices.
- Attempt the Try This prompt at the end of every post before moving to the next topic.
Topic map
| Sequence | Focus area | Quick reminder |
| 01 | Indices and Surds | Laws of indices, rationalising denominators. |
| 02 | Logarithms and Exponentials | Change of base, solving exponential models. |
| 03 | Linear Law | Straight-line fitting, gradients from data. |
| 04 | Simultaneous Equations | Graphical and algebraic solutions. |
| 05 | Quadratic Functions | Completing the square, discriminant analysis. |
| 06 | Coordinate Geometry (Lines) | Distance, midpoint, gradient, normal form. |
| 07 | Parabolas and Circles | Standard forms and locus interpretation. |
| 08 | Plane Geometry | Angle chasing with algebraic lengths. |
| 09 | Polynomials | Factor and remainder theorems, root bounds. |
| 10 | Binomial Theorem | General term, approximation via first terms. |
| 11 | Modulus Functions | Piecewise forms, modulus inequalities. |
| 12 | Trigonometry I | Radian measure, core identities. |
| 13 | Trigonometry II | Trig equations, auxiliary angle. |
| 14 | Differentiation Fundamentals | First principles, power rule. |
| 15 | Differentiation Techniques | Product, quotient, chain, implicit. |
| 16 | Applications of Differentiation | Tangents, normals, rates of change. |
| 17 | Integration Essentials | Reverse power rule, substitution. |
| 18 | Partial Fractions | Decomposition, repeated factors. |
| 19 | Kinematics | Displacement, velocity, acceleration from calculus. |
| 20 | Statistics: Standard Deviation | Mean, variance, grouped data corrections. |
Bookmark this hub and pair it with your school workbook and the Drive resources so revision stays structured.
