Section 03 — Ratios & Proportions (LBS 110)

Section 03 — Ratios & Proportions

Course: LBS 110 – Mathematics for Modern Thinkers

Learning Session

Explore These Materials: 1. Read (45 min) — Ratios vs. rates; scaling and similar figures (short notes). Golden ratio: myth vs math.
2. Watch (60 min) — Visualizing proportions (mixtures, recipes, maps); Aspect ratios in design and film.
3. Listen (30 min) — When ratios mislead (risk communication and relative vs absolute).
4. Reflect While Engaging — Log 5 ratios you used today (time/points/dollars/km); label each as ratio or rate.

Key Quote Box

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Practice

  1. Scale a Recipe — Double a recipe keeping taste/texture; explain which ratios must stay fixed.
  2. Map + Model — Build a scale diagram of your room or desk; choose a scale and justify.
  3. Speed/Time/Distance — Record a short trip; compute average speed; re‑express as min/km and mph; discuss trade‑offs of units.
  4. Proportion Puzzles — Solve 3 mixture problems; show unit analysis.
  5. Reflection — Where do ratios clarify reality vs obscure it?

Hard Problem (Optional)

Given two rectangles with the same area but different aspect ratios, argue which better fits a given set of objects; quantify “fit” with a ratio‑based metric you design.