S6
Ratio & Scaling
Ratio → Proportion
"If you can compare, you can scale."
Philosophical Origin：Euclid proportions
Minimal Example
Recipe for 2 people uses 4 eggs. For 6 people: 4×3 = 12 eggs.
One-Line Rule
"Keep the ratio, scale the quantity."
Common Misconception vs Correct Understanding
Just add the same amount.
Multiply by the ratio.
🌱 Growth Steps (Natural Evolution)
1 / 5 步
1
Ratio: Comparison of quantities
✨ Starting Point: Growth begins here
如果你能 ↑ 那么你就能 ↓
2
Proportion: Equal ratios
如果你能 ↑ 那么你就能 ↓
3
Scaling: Multiply by ratio
如果你能 ↑ 那么你就能 ↓
4
Similar figures: Same shape, different size
如果你能 ↑ 那么你就能 ↓
5
Percent: Ratio to 100
SAT Example Question
Question:
If 3:5 = x:20, what is x?
Answer:
12
Explanation:
x = (3/5)×20 = 12
Practice Questions
5 questions with multiple solution methods
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