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Mathematics Class 8

Proportional Reasoning-1

Compare amounts, simplify a ratio, share by parts, use a rate, read a scale.

15 lessons · ~92 min total

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Lessons in this topic

  1. 0 Start here A roadmap: compare two amounts, simplify a ratio, share by parts, rates and scales. · 3 min You are here
  2. 1 How much more, and how many times Compare by subtracting or by dividing. A shape holds when both sides change by one factor. · 5 min
  3. 2 What 3 : 2 says, and what it does not One class gives two honest ratios, and the question decides which one is wanted. · 6 min
  4. 3 The same comparison in bigger numbers Multiply both parts of a ratio by the same number and the comparison stays. · 6 min
  5. 4 Match the units, then cut it down Match the units first, then divide both parts by the highest factor they share. · 6 min
  6. 5 Sharing an amount in a ratio Count the parts, find what one part is worth, then hand out the parts. · 6 min
  7. 6 Checkpoint: comparing, writing and sharing A graded check on the first five ideas. · 6 min
  8. 7 Two ratios that are equal Cross-multiply two ratios for a plain yes or no on whether they match. · 6 min
  9. 8 Find the value of one When each one is worth the same, divide to find one. Multiply for many. Then divide back. · 6 min
  10. 9 When two amounts grow together Two amounts are in direct proportion only when dividing gives the same answer every row. · 7 min
  11. 10 A rate is a ratio with units on it A rate keeps its units. The question says which amount goes on top. · 7 min
  12. 11 A scale is a ratio you can walk A scale compares a paper length with the same length in the world, unit for unit. · 8 min
  13. 12 Checkpoint: proportion, rates and scales A graded check on the second five ideas. · 6 min
  14. 13 The big picture Ten ideas, tied back together. · 5 min
  15. 14 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 9 min
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