Pearl City Hawaii 10 August 2011

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

Day 3 Session 1
Video Study
Problem-Solving Approach

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.

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.

Day 3 Session 2
Problem Solving
& Drill-and-Practice

Problem solving is the focus of Singapore Math.

Problem solving can include drill-and-practice.

Day 3 Final Sessions
Bar Model Method

Modeling using real objects, pictures of real objects and more abstract model drawings.

Bar models are used to represent quantities – discrete and continuous ones.

60 ÷ 5 = 12
12 x 8 = 96
There are 76 people.
60

Observe how this problem is different from the last one even though numbers used are the same.

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.

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

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

Solutions to Homework

Sam
72
Terry
Vanessa

Pablo
Wynn
?
Zena
100

270
110

boys
34
girls
100

boys
68
girls

boys
88 – 68 = 20
girls

boys
girls

boys
2 girls units = 14
34
1 girls unit = 7
girls
3 girls units = 21
21 girls wear spectacles.
34 – 20

flour
flour
flour
cookies
cake
3.6 kg
3.6 kg x 2 = 7.2 kg
She bought 7.2 kg of flour.

16

Miss Siti
flour
flour
flour
cookies
3.6 kg ÷ 5 = 0.72 kg
8 x 0.72 kg = 5.76 kg

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
cake

Answer: 60
basketball
soccer
Answer: 100
basketball
soccer

Answer: 84
basketball
soccer

Further Example
Multiplication of Whole Numbers

Emphasis on Spiral Approach
Grade 1
Multiplication using drawing

Math in Focus
Singapore Math by Marshall Cavendish

Grade 2
Multiplication of 2, 5, 10 and 3, 4

Math in Focus

Pensar sin Limites
MatematicaMetodoSingapur

Daqiao Primary School
Singapore

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

Grade 3
Multiplication of
2-digit x 1 digit
3-digit x 1-digit

National Institute of Education
Singapore

42
4

Grade 4
Multiplication of 4-digit x 1 digit, 2-digit x 2-digit
30

National Institute of Education
Singapore

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Pearl City Hawaii 10 August 2011

by Jimmy Keng on Aug 11, 2011

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