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# Pearl City Hawaii 10 August 2011

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• 1. Professional Development for
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
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
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
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
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
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
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
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
soccer
soccer
soccer
• 44.
• 45. Professional Development for
Further Example
Multiplication of Whole Numbers
• 46. Emphasis on Spiral Approach
Multiplication using drawing

Math in Focus
Singapore Math by Marshall Cavendish
• 47. Emphasis on Spiral Approach
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
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
Multiplication of
2-digit x 1 digit
3-digit x 1-digit

National Institute of Education
Singapore
• 52.
42
Emphasis on Spiral Approach
4