Pearl City Hawaii 10 August 2011

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  • 1. Professional Development for
    Singapore Math (Upper Grades)
    Yeap Ban Har
    banhar@sg.marshallcavendish.com
    Pearl City, Hawaii
    Day 3
    10 August 2011
    Presentations are available at
    www.banhar.blogspot.com
  • 2. Professional Development for
    Singapore Math (Upper Grades)
    Day 3 Session 1
    Video Study
    Problem-Solving Approach
  • 3. Students have learnt to add three one-digit numbers prior to this lesson. These are grade one students towards the end of the school year.
  • 4. Problem10 August 2011
    How many fifths are there?
    2×35
     
    =(2×3) fifths
     
    = 6 fifths
     
    4×35
     
    =(4×3) fifths
     
    =12 fifths
     
    4×35
     
    = 4×35
     
    = 125
     
    The problem-solving approach can be used to teach new concepts or skills.
  • 5. Professional Development for
    Singapore Math (Upper Grades)
    Day 3 Session 2
    Problem Solving
    & Drill-and-Practice
  • 6. Problem solving is the focus of Singapore Math.
  • 7. Problem solving can include drill-and-practice.
  • 8. Problem solving can include drill-and-practice.
  • 9.
  • 10. Professional Development for
    Singapore Math (Upper Grades)
    Day 3 Final Sessions
    Bar Model Method
  • 11. Modeling using real objects, pictures of real objects and more abstract model drawings.
  • 12. Bar models are used to represent quantities – discrete and continuous ones.
  • 13. 60 ÷ 5 = 12
    12 x 8 = 96
    There are 76 people.
    60
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. 12
    58
  • 19. Observe how this problem is different from the last one even though numbers used are the same.
  • 20. 12
    58 – 12 = 46
    46 ÷ 2 = 23
    Natalie’s bag is 35 kg.
    Peter’s bag is 23 kg.
    Natalie
    58
    Peter
    Observe how this problem is different from the last one even though numbers used are the same.
  • 21. 1st Day
    2nd Day
    4
    3rd Day
    4
    4
    4th Day
    4
    4
    4
    250
    5th Day
    4
    4
    4
    4
    6th Day
    4
    4
    4
    4
    4
    7th Day
    4
    4
    4
    4
    4
    4
    8th Day
    4
    4
    4
    4
    4
    4
    4
  • 22.
  • 23. 5
    1st Day
    250 – 40 = 210
    210 : 5 = ?
    2nd Day
    4
    42 +
    16 = ?
    250
    3rd Day
    4
    4
    Rosa made 58 paper cranes on the last day.
    4th Day
    4
    4
    4
    5th Day
    4
    4
    4
    4
    Differentiation for struggling students
  • 24.
  • 25.
  • 26.
  • 27. Professional Development for
    Singapore Math (Upper Grades)
    Solutions to Homework
  • 28. Sam
    72
    Terry
    Vanessa
  • 29. Pablo
    Wynn
    ?
    Zena
    100
  • 30. 270
    110
  • 31. boys
    34
    girls
    100
  • 32. boys
    68
    girls
  • 33. boys
    88 – 68 = 20
    girls
  • 34. boys
    88 – 68 = 20
    girls
  • 35. boys
    girls
  • 36. boys
    girls
  • 37. boys
    2 girls units = 14
    34
    1 girls unit = 7
    girls
    3 girls units = 21
    21 girls wear spectacles.
    34 – 20
  • 38.
  • 39. flour
    flour
    flour
    cookies
    cake
    3.6 kg
    3.6 kg x 2 = 7.2 kg
    She bought 7.2 kg of flour.
  • 40. 16
     
    Miss Siti
    flour
    flour
    flour
    cookies
    3.6 kg ÷ 5 = 0.72 kg
    8 x 0.72 kg = 5.76 kg
    She bought 5.76 kg of flour.
  • 41. 14
     
    Mrs Rani
    flour
    flour
    flour
    cookies
    3.6 kg ÷ 3 = 1.2 kg
    1.2 kg x 4 = 4.8 kg
    4.8 kg ÷ 3 = 1.6 kg
    1.6 kg x 4 = 6.4 kg
    She bought 6.4 kg of flour.
    cake
  • 42. Answer: 60
    basketball
    soccer
    Answer: 100
    basketball
    soccer
  • 43. Answer: 84
    basketball
    soccer
  • 44.
  • 45. Professional Development for
    Singapore Math (Upper Grades)
    Further Example
    Multiplication of Whole Numbers
  • 46. Emphasis on Spiral Approach
    Grade 1
    Multiplication using drawing
     
    Math in Focus
    Singapore Math by Marshall Cavendish
  • 47. Emphasis on Spiral Approach
    Grade 2
    Multiplication of 2, 5, 10 and 3, 4
     
    Math in Focus
    Singapore Math by Marshall Cavendish
  • 48.  
    Pensar sin Limites
    MatematicaMetodoSingapur
  • 49.  
    Daqiao Primary School
    Singapore
  • 50. Emphasis on Spiral Approach
    Grade 3
    Multiplication of 6, 7, 8, 9
    2-digit x 1 digit, 3-digit x 1-digit
    6
    6
    6
    6
     
    EscuelaNo. 1577 TenienteDagobertoGodoy Chile
     
    Math in Focus
    Singapore Math by Marshall Cavendish
  • 51. Emphasis on Spiral Approach
    Grade 3
    Multiplication of
    2-digit x 1 digit
    3-digit x 1-digit
     
    National Institute of Education
    Singapore
  • 52.  
    42
    Emphasis on Spiral Approach
    4
     
     
     
     
    Grade 4
    Multiplication of 4-digit x 1 digit, 2-digit x 2-digit
    30
  • 53.  
    National Institute of Education
    Singapore