MAKING CONNECTIONS<br />problems<br />from<br />singapore<br />classrooms<br />Dr Yeap Ban Har<br />National Institute of ...
DaQiao Primary School, Singapore<br />
12  ÷ 4 = 3<br />1  ÷ ¾  = ?<br />
12  ÷ 4 = 3<br />1  ÷ ¾  = ?<br />1  ÷ ¾   = <br />2  ÷ ¾   = <br />3  ÷ ¾   = <br />n  ÷ ¾   = <br />
<br />
<br />
<br />12  ÷ 4 = 3<br />making<br />connections<br />3  ÷ ¾  = 4<br />
<br />12  ÷ 4 = 3<br />
<br />
Primary Mathematics Standards Edition Grade 6<br />
<br />
<br />
<br />210<br />
210<br />MrsHoon sold 960 cookies.<br />
<br />A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is...
135 kg<br />87 kg<br />139 kg<br />
<br />A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is...
<br />After<br />Shop A<br />Shop B<br />
<br />156 kg<br />Before<br />Shop A<br />Shop B<br />156 kg – 72 kg = 84 kg<br />72kg<br />3 units = 84 kg<br />1 unit =...
half<br /><br />$1890<br />handbag<br />
three-fourths<br /><br />$1890<br />handbag<br />
three-eighths<br /><br />$1890<br />handbag<br />
<br />handbag<br />$1890<br />12 units = $1890<br />1 unit = $1890 ÷ 12 = $<br />$1200<br />$690<br />1 unit = $1890 ÷ 1...
<br />apples<br />192 + 24<br />24<br />pears<br />8 units = 192 + 24 = 216<br />1 unit = 27<br />There were 5 x 27 apple...
<br />5 parts<br />45<br />women<br />12<br />men<br />2 parts<br />
<br />women<br />men<br />
MAKING CONNECTIONS<br />problems<br />from<br />singapore<br />classrooms<br />Dr Yeap Ban Har<br />National Institute of ...
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NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

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In this session, Yeap Ban Har introduced to the participants challenging problems, mostly teacher-created ones, taken from Singapore classrooms.

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NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

  1. 1. MAKING CONNECTIONS<br />problems<br />from<br />singapore<br />classrooms<br />Dr Yeap Ban Har<br />National Institute of Education<br />Nanyang Technological University <br />Singapore<br />banhar.yeap@nie.edu.sg<br />Slides available from www.mathz4kidz.com<br />
  2. 2. DaQiao Primary School, Singapore<br />
  3. 3. 12 ÷ 4 = 3<br />1 ÷ ¾ = ?<br />
  4. 4. 12 ÷ 4 = 3<br />1 ÷ ¾ = ?<br />1 ÷ ¾ = <br />2 ÷ ¾ = <br />3 ÷ ¾ = <br />n ÷ ¾ = <br />
  5. 5. <br />
  6. 6. <br />
  7. 7. <br />12 ÷ 4 = 3<br />making<br />connections<br />3 ÷ ¾ = 4<br />
  8. 8. <br />12 ÷ 4 = 3<br />
  9. 9. <br />
  10. 10. Primary Mathematics Standards Edition Grade 6<br />
  11. 11. <br />
  12. 12.
  13. 13.
  14. 14.
  15. 15. <br />
  16. 16.
  17. 17. <br />210<br />
  18. 18. 210<br />MrsHoon sold 960 cookies.<br />
  19. 19. <br />A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is the elephant?<br />(Primary 2)<br />TelokKurau Primary School, Singapore<br />
  20. 20. 135 kg<br />87 kg<br />139 kg<br />
  21. 21. <br />A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is the elephant?<br />(Primary 2)<br />TelokKurau Primary School, Singapore<br />
  22. 22. <br />After<br />Shop A<br />Shop B<br />
  23. 23. <br />156 kg<br />Before<br />Shop A<br />Shop B<br />156 kg – 72 kg = 84 kg<br />72kg<br />3 units = 84 kg<br />1 unit = 84 kg ÷ 3 = 28 kg<br />72 kg – 28 kg = 44 kg<br />Shop B sold 44 kg of rice.<br />Shop A sold 44 kg of rice.<br />
  24. 24. half<br /><br />$1890<br />handbag<br />
  25. 25. three-fourths<br /><br />$1890<br />handbag<br />
  26. 26. three-eighths<br /><br />$1890<br />handbag<br />
  27. 27. <br />handbag<br />$1890<br />12 units = $1890<br />1 unit = $1890 ÷ 12 = $<br />$1200<br />$690<br />1 unit = $1890 ÷ 12 = $157.50<br />$600<br />$90<br />35 units = $157.50 x 35 = $<br />Her salary is $5512.50 .<br />$60<br />$30<br />
  28. 28. <br />apples<br />192 + 24<br />24<br />pears<br />8 units = 192 + 24 = 216<br />1 unit = 27<br />There were 5 x 27 apples at first.<br />There were 3 x 27 – 24 pears at first.<br />There were 78 more apples than pears at first.<br />
  29. 29.
  30. 30.
  31. 31. <br />5 parts<br />45<br />women<br />12<br />men<br />2 parts<br />
  32. 32. <br />women<br />men<br />
  33. 33. MAKING CONNECTIONS<br />problems<br />from<br />singapore<br />classrooms<br />Dr Yeap Ban Har<br />National Institute of Education<br />Nanyang Technological University <br />Singapore<br />banhar.yeap@nie.edu.sg<br />Slides available from www.mathz4kidz.com<br />
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