IP EMaths Notes (Upper Sec, Year 3-4): 00) Overview
Download printable cheat-sheet (CC-BY 4.0)08 Nov 2025, 00:00 Z
Upper Secondary Elementary Mathematics threads algebra, geometry, trigonometry, and data handling together. Use this index to plan revision sessions and dive straight into the note that matches your immediate goal.
How to use these notes
- Start with the Quick Skills table to see the key outcomes for each topic.
- Work through the Worked Examples inside each post; they mirror the structure of common school assignments and weighted assessments.
- Attempt the Try This prompt before leaving a post so you check real-time understanding.
Topic map
| Sequence | Focus area | Quick reminder |
| 01 | Algebraic Tools | Expand, factorise, and tidy algebraic expressions. |
| 02 | Indices and Standard Form | Manipulate powers and scientific notation accurately. |
| 03 | Algebraic Fractions and Surds | Simplify exact forms and rationalise denominators. |
| 04 | Linear Equations and Inequalities | Solve single-variable equations and represent solution sets. |
| 05 | Simultaneous Equations and Word Problems | Blend substitution, elimination, and modelling. |
| 06 | Quadratic Functions and Graphs | Complete the square, sketch curves, and interpret roots. |
| 07 | Coordinate Geometry (Lines and Distance) | Apply gradient, midpoint, and distance formulas. |
| 08 | Functions and Transformations | Interpret function notation and graphical translations. |
| 09 | Right-Triangle Trigonometry | Evaluate \(\sin\), \(\cos\), \(\tan\), and apply Pythagoras. |
| 10 | Trigonometric Applications | Solve bearings, angles of elevation, and area with trig. |
| 11 | Mensuration and 3D Geometry | Compute area, surface area, and volume efficiently. |
| 12 | Similarity and Congruency | Prove statements with ratio reasoning and congruence rules. |
| 13 | Variation and Rate of Change | Model direct, inverse, and joint relationships. |
| 14 | Probability | Combine independent and mutually exclusive events. |
| 15 | Statistics and Data Handling | Summarise data sets and interpret graphical representations. |
Bookmark this hub alongside your workbook so revision stays structured and fast.
