IP AMaths Notes (Upper Sec, Year 3-4): 11) Modulus Functions
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Piecewise rewriting, graph sketching, and inequality solving with modulus expressions for IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Fundamental identities
- 2 Worked example - Piecewise sketch
- 3 Worked example - Modulus inequality
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 11) Modulus Functions cover?
A: Piecewise rewriting, graph sketching, and inequality solving with modulus expressions for IP AMaths.
Modulus expressions measure distance from zero. Convert them into piecewise linear forms to analyse turning points and solve inequalities.
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Everything here stays within the SEAB GCE O-Level Additional Mathematics (4049) modulus function syllabus: rewriting piecewise, sketching, and solving equalities/inequalities.
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
Start Here
| Read time | What to take away |
| 1 second | A modulus expression measures distance from zero. |
| 10 seconds | Find the critical points where the expression inside the modulus is zero, then solve each region with the correct sign. |
| 100 seconds |
