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MAKING CONNECTIONS problems from singapore classrooms Dr Yeap Ban Har National Institute of Education Nanyang Technological University  Singapore banhar.yeap@nie.edu.sg Slides available from www.mathz4kidz.com
DaQiao Primary School, Singapore
12  ÷ 4 = 3 1  ÷ ¾  = ?
12  ÷ 4 = 3 1  ÷ ¾  = ? 1  ÷ ¾   =  2  ÷ ¾   =  3  ÷ ¾   =  n  ÷ ¾   =


 12  ÷ 4 = 3 making connections 3  ÷ ¾  = 4
 12  ÷ 4 = 3

Primary Mathematics Standards Edition Grade 6


 210
210 MrsHoon sold 960 cookies.
 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) TelokKurau Primary School, Singapore
135 kg 87 kg 139 kg
 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) TelokKurau Primary School, Singapore
 After Shop A Shop B
 156 kg Before Shop A Shop B 156 kg – 72 kg = 84 kg 72kg 3 units = 84 kg 1 unit = 84 kg ÷ 3 = 28 kg 72 kg – 28 kg =  44 kg Shop B sold 44 kg of rice. Shop A sold 44 kg of rice.
half  $1890 handbag
three-fourths  $1890 handbag
three-eighths  $1890 handbag
 handbag $1890 12 units = $1890 1 unit = $1890 ÷ 12 = $ $1200 $690 1 unit = $1890 ÷ 12 = $157.50 $600 $90 35 units = $157.50 x 35 = $ Her salary is $5512.50 . $60 $30
 apples 192 + 24 24 pears 8 units = 192 + 24 = 216 1 unit = 27 There were 5 x 27 apples at first. There were 3 x 27 – 24 pears at first. There were 78  more apples than pears  at first.
 5 parts 45 women 12 men 2 parts
 women men
MAKING CONNECTIONS problems from singapore classrooms Dr Yeap Ban Har National Institute of Education Nanyang Technological University  Singapore banhar.yeap@nie.edu.sg Slides available from www.mathz4kidz.com

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NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

  • 1. MAKING CONNECTIONS problems from singapore classrooms Dr Yeap Ban Har National Institute of Education Nanyang Technological University Singapore banhar.yeap@nie.edu.sg Slides available from www.mathz4kidz.com
  • 3. 12 ÷ 4 = 3 1 ÷ ¾ = ?
  • 4. 12 ÷ 4 = 3 1 ÷ ¾ = ? 1 ÷ ¾ = 2 ÷ ¾ = 3 ÷ ¾ = n ÷ ¾ =
  • 5.
  • 6.
  • 7.  12 ÷ 4 = 3 making connections 3 ÷ ¾ = 4
  • 8.  12 ÷ 4 = 3
  • 9.
  • 10. Primary Mathematics Standards Edition Grade 6
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 18. 210 MrsHoon sold 960 cookies.
  • 19.  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) TelokKurau Primary School, Singapore
  • 20. 135 kg 87 kg 139 kg
  • 21.  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) TelokKurau Primary School, Singapore
  • 22.  After Shop A Shop B
  • 23.  156 kg Before Shop A Shop B 156 kg – 72 kg = 84 kg 72kg 3 units = 84 kg 1 unit = 84 kg ÷ 3 = 28 kg 72 kg – 28 kg = 44 kg Shop B sold 44 kg of rice. Shop A sold 44 kg of rice.
  • 24. half  $1890 handbag
  • 27.  handbag $1890 12 units = $1890 1 unit = $1890 ÷ 12 = $ $1200 $690 1 unit = $1890 ÷ 12 = $157.50 $600 $90 35 units = $157.50 x 35 = $ Her salary is $5512.50 . $60 $30
  • 28.  apples 192 + 24 24 pears 8 units = 192 + 24 = 216 1 unit = 27 There were 5 x 27 apples at first. There were 3 x 27 – 24 pears at first. There were 78 more apples than pears at first.
  • 29.
  • 30.
  • 31.  5 parts 45 women 12 men 2 parts
  • 33. MAKING CONNECTIONS problems from singapore classrooms Dr Yeap Ban Har National Institute of Education Nanyang Technological University Singapore banhar.yeap@nie.edu.sg Slides available from www.mathz4kidz.com