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Proportional Reasoning-1

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A juice stall mixes squash (fruit syrup) and water. Every glass tastes the same. What does the seller keep the same?

Figure 1 — one pair of amounts, two questions.

This track follows Part I, Chapter 7, Proportional Reasoning-1.

What you will learn

  • Two questions — how much more, and how many times.
  • What a ratio says — one class, two ratios.
  • Bigger numbers — multiply both parts.
  • Simplest form — match units, then cut down.
  • Sharing — count the parts, then find each share.
  • Two that match — multiply across.
  • Value of one — divide, then multiply.
  • Growing together — the same answer every row.
  • Rates — a ratio with units.
  • Scales — a paper length and a real one.

Every lesson has a lab. Move something and watch the ratio.

Need a quick recap?

  • Fractions — equal fractions name one amount.
  • HCF — the highest common factor: the highest number that divides both exactly.

Jump to lesson

This track

  1. 0 Start here
  2. 1 How much more, and how many times
  3. 2 What 3 : 2 says, and what it does not
  4. 3 The same comparison in bigger numbers
  5. 4 Match the units, then cut it down
  6. 5 Sharing an amount in a ratio
  7. 6 Checkpoint: comparing, writing and sharing
  8. 7 Two ratios that are equal
  9. 8 Find the value of one
  10. 9 When two amounts grow together
  11. 10 A rate is a ratio with units on it
  12. 11 A scale is a ratio you can walk
  13. 12 Checkpoint: proportion, rates and scales
  14. 13 The big picture
  15. 14 Track quiz

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