IP Maths Notes (Lower Sec, Year 1-2): 02) Algebraic Expressions & Equations
In one line
Expand and factor expressions, solve linear equations and inequalities, and translate word problems into algebraic models.
Last updated 30 Nov 2025
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- Start Here
- Learning targets
- 1 Expansion and simplification
- 2 Factorisation toolkit
Q: What does IP Maths Notes (Lower Sec, Year 1-2): 02) Algebraic Expressions & Equations cover?
A: Expand and factor expressions, solve linear equations and inequalities, and translate word problems into algebraic models.
Start Here
| Read time | What to take away |
| 1 second | Algebra is pattern language: expand, factor, solve, and explain each line. |
| 10 seconds | Keep like terms together, factor common structures first, and solve equations by doing the same operation to both sides. |
| 100 seconds | Use the worked examples to practise four moves in order: expand cleanly, collect terms, factor when useful, and translate a word problem into variables and equations. |
Lower-sec algebra is a language: you model patterns, manipulate unknowns, and justify each line. This guide covers expansion, factorisation, equation solving, inequalities, and proportional reasoning.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4052 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
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Learning targets
- Expand binomials and collect like terms accurately.
- Factor expressions using common factors, grouping, and difference of squares.
- Solve single-variable linear equations and inequalities, showing balanced steps.
- Set up algebraic models from contextual problems (rates, mixtures, and ages).
1 Expansion and simplification
1.1 Distributive law refresher
For constants
