Download - NCTM2011 Afternoon Session
SINGAPORE MATHBar Model Method
Dr Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available at www.banhar.blogspot.com
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MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011
Comprehensive program taught collaboratively by Singapore mathematics educators and
WSU’s professors.
The Curriculum (Ministry of Education 2006)
Kyla
Jake $9
$28
?
?$28 – $9 = $19
Kyla has $19.
Ming
Naomi
48
48 ÷ 4 = 12
Ming has 36 candies.
3 x 12 = 36
apples
15
3 units 1518 units 6 x 15 = 90
There are 90 fruits in the basket.
Method 13 units 15
18 units 6 x 15 = 60 + 30 = 90
Method 23 units 151 unit 5
18 units 18 x 5 = 50 + 40 = 90
18 units 6 x 15 = 3 x 30 = 90
18 units 18 x 5 = 180 ÷ 2 = 90
QuestionWhat if the fraction is such it is not easy to split the remainder part?
See the example presented in the morning session.
Allan spent ¼ of his allowance on a gift and ¼ ofthe remainder on a book. The book cost $18.Find the amount of Allan’s allowance.
4 x $18 = $72
$72 ÷ 3 = $24 Allan’s allowance = 4 x $24 = $96
Mon
Tue $3
Wed $3 $3
Thu $3 $3 $3
$100
$100 – 6 x $3 = $82
$82 ÷ 4 = $20.50
$20.50 + 3 x $3 = $29.50
She saved $29.50 on Thursday.
adults
children
2 units 380 – 260 = 120 1 unit 60
260 – 60 = 200200 + 200 = 400 400 people left at lunchtime.
apples
oranges 90
pears 15
38
apples
oranges 90
pears 15 23
apples
oranges ?
pears 15
90 + 15 = 1055 units
1 unit 105 ÷ 5 = 21
23
There were (21 + 21 + 23) apples, hence oranges.
There were 44 oranges used.
Extra ProblemFor you to try. Do not peek at the answer before you try it!
342
18%
24%
76%
76% 342
1% 4.5
100% 450
Mr Wong had 450 books at first.
MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011
Comprehensive program taught collaboratively by Singapore mathematics educators and
WSU’s professors.
