nctm2010 annual meeting & exposition session by yeap ban har on making connections: problems...
DESCRIPTION
In this session, Yeap Ban Har introduced to the participants challenging problems, mostly teacher-created ones, taken from Singapore classrooms.TRANSCRIPT
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problemsfromsingapore
classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University [email protected]
Slides available from www.mathz4kidz.com
MAKING CONNECTIONS
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Da Qiao Primary School, Singapore
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1 ÷ ¾ = ?
12 ÷ 4 = 3
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1 ÷ ¾ = ?
12 ÷ 4 = 3
1 ÷ ¾ =
3
11
2 ÷ ¾ =
3
112
3 ÷ ¾ =
3
113
n ÷ ¾ = 3
11n
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12 ÷ 4 = 3
3 ÷ ¾ = 4
makingconnections
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12 ÷ 4 = 3
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Primary Mathematics Standards Edition Grade 6
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210
5
1
8
3
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210
5
1
8
3
21040
7
5
1
8
3
3040
1
96040
32
5
4 Mrs Hoon sold 960
cookies.
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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)
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135 kg 87 kg 139 kg
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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)
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Shop A
Shop B
After
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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.
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handbag
half
$1890
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handbag
three-fourths
$1890
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handbag
three-eighths
$1890
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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 .
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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.
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women
men 12
45
5 parts
2 parts
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women
menwomen men
50 10
55 11
60 12
… …
100 20
150 30
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problemsfromsingapore
classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University [email protected]
Slides available from www.mathz4kidz.com
MAKING CONNECTIONS