nctm2010 annual meeting & exposition session by yeap ban har on making connections: problems...

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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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problemsfromsingapore

classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University Singaporebanhar.yeap@nie.edu.sg

Slides available from www.mathz4kidz.com

MAKING CONNECTIONS

Da Qiao Primary School, Singapore

1 ÷ ¾ = ?

12 ÷ 4 = 3

1 ÷ ¾ = ?

12 ÷ 4 = 3

1 ÷ ¾ =

3

11

2 ÷ ¾ =

3

112

3 ÷ ¾ =

3

113

n ÷ ¾ = 3

11n

12 ÷ 4 = 3

3 ÷ ¾ = 4

makingconnections

12 ÷ 4 = 3

Primary Mathematics Standards Edition Grade 6

210

5

1

8

3

210

5

1

8

3

21040

7

5

1

8

3

3040

1

96040

32

5

4 Mrs Hoon sold 960

cookies.

Telok Kurau Primary School, Singapore

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?

(Primary 2)

135 kg 87 kg 139 kg

Telok Kurau Primary School, Singapore

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?

(Primary 2)

Shop A

Shop B

After

Shop A

Shop B

Before 156 kg

72kg

156 kg – 72 kg = 84 kg

3 units = 84 kg

1 unit = 84 kg ÷ 3 = 28 kg72 kg – 28 kg = 44 kg

Shop B sold 44 kg of rice.

Shop A sold 44 kg of rice.

handbag

half

$1890

handbag

three-fourths

$1890

handbag

three-eighths

$1890

handbag

28

16

14

8

7

4

12 units = $1890

1 unit = $1890 ÷ 12 = $

$1890

$1200 $690

$600 $90

$60 $30

1 unit = $1890 ÷ 12 = $157.50

35 units = $157.50 x 35 = $

Her salary is $5512.50 .

24

apples

pears192 + 24

8 units = 192 + 24 = 216

There were 5 x 27 apples at first.

There were 3 x 27 – 24 pears at first.

1 unit = 27

There were 78 more apples than pears at first.

women

men 12

45

5 parts

2 parts

women

menwomen men

50 10

55 11

60 12

… …

100 20

150 30

problemsfromsingapore

classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University Singaporebanhar.yeap@nie.edu.sg

Slides available from www.mathz4kidz.com

MAKING CONNECTIONS

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