20121031 fractions-pizza-slices-and-adding

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Just a few slides for a GCSE retake group on fractions basics. I've added 'pizza diagrams' at the suggestion of a student (go for it Sundeep).

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20121031 fractions-pizza-slices-and-adding

  1. 1. Fractions presentation Equivalent fractions Mixed numbers ↔ top heavy fractions Adding fractions Multiplying fractions
  2. 2. Recap: LCM and HCF What is LCM of 6 and 9? What is HCF of 15 and 20? What is LCM of 2 and 3? What is HCF of 12 and 8? What number can 6 and 5 both go into?
  3. 3. Recap: LCM and HCF What is LCM of 6 and 9? 18 What is HCF of 15 and 20? 5 What is LCM of 2 and 3? 6 What is HCF of 12 and 8? 4 What number can 6 and 5 both go into? 30
  4. 4. Equivalent fractions
  5. 5. =In symbols?
  6. 6. = ?In symbols?
  7. 7. = ?In symbols?
  8. 8. Equivalent fractions quiz4 8 = =5 15 12 3
  9. 9. Equivalent fractions ans4 12 8 2 = =5 15 12 3
  10. 10. Equivalent fractions summary
  11. 11. Mixed & top heavy
  12. 12. Mixed & top heavy 5 1 2 =3 2
  13. 13. ? ?3 =? 3
  14. 14. 3 54Mixed -> top heavy1. Multiply whole by bottom2. Add top3. Put over bottom
  15. 15. 23 Top heavy -> Mixed 1. Divide top by bottom6 2. Answer is whole number 3. Remainder is top 4. Bottom stays same
  16. 16. Mixed -> top heavy Top heavy -> Mixed1. Multiply whole by bottom 1. Divide top by bottom2. Add top 2. Answer is whole number3. Put over bottom 3. Remainder is top 4. Bottom stays same
  17. 17. Mixed / top heavy quiz... 1 14 74 = = 3 1 17 37 = = 5
  18. 18. Mixed / top heavy quiz... 1 29 14 2 74 = 4 =43 3 1 22 17 2 37 = =35 7 5
  19. 19. Adding fractions
  20. 20. + =In symbols?
  21. 21. + =In symbols?
  22. 22. Rule 1: you can only add thetops when the bottoms are thesame....
  23. 23. + =
  24. 24. + =
  25. 25. Rule 2 different bottoms:change one or both fractionsfor equivalent fractions wherethe bottoms are the same......then add tops
  26. 26. + =
  27. 27. + =+ =
  28. 28. 1 43 + 5 = 5 1215 + 15 =
  29. 29. Adding fractions quiz1 1 2 12 + 3 = + 6 = 3
  30. 30. Adding fractions ans1 1 5 2 1 52 + 3 = + 6 = 6 6 3
  31. 31. Multiplying fractions
  32. 32. 1 1 13 × = 4 12 1 3 1 4
  33. 33. 2 334
  34. 34. 0: write mixed numbers as top heavy1: multiply tops to get new top2: multiply bottoms to get new bottom3: cancel down as needed...
  35. 35. Multiplying fractions quiz 2 1 3 3 3 × = 4 12 5 × 4 = 3 3 1 2 × = 2 2 × 3 = 5 4
  36. 36. workshop Must: “frac-pack” Should: exam questions Could: stuff on algebraic fractions

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