IP Maths Notes (Lower Sec, Year 1-2): 01) Number Systems & Indices
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Q: What does IP Maths Notes (Lower Sec, Year 1-2): 01) Number Systems & Indices cover?
A: Master integer, fractional, and decimal conversions, index laws, and significant figure rounding for Year 1 IP maths.
Number sense underpins every algebraic manipulation you will meet from Year 2 onward. This guide cleans up conversion fluency, index laws, surds, and estimation so you never lose calculator-free marks.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4048 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
Learning targets
- Convert between fractions, decimals, and percentages without a calculator.
- Apply the five index laws, including negative and fractional indices.
- Standardise answers to the correct number of significant figures.
- Present surds in rationalised form.
1. Number systems refresher
1.1 Fraction-decimal-percentage triad
- Fractions express parts of a whole. Simplify by dividing numerator and denominator by their highest common factor.
- Decimals express fractions in base-ten. For terminating decimals, use place value; for recurring decimals, note the repeating block.
- Percentages compare against 100. Use the identity
