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St Edward School, Florida Da Qiao Primary School, Singapore
Primary 1 Singapore 17 17 – 3 =  17 – 8 =  10 7 17 14 3 17 9 8 Da Qiao Primary School, Singapore
Grade 2 USA   St Edward School, Florida  
Grade 5 The Netherlands Archipelschool De Tweemaster – Kameleon,  The Netherlands
Archipelschool De Tweemaster – Kameleon,  The Netherlands Grade 5 The Netherlands
King Solomon Academy, London Year 7 England
High School Attached to Tsukuba University, Japan Draw a polygon with no dots inside it. Investigate. Grade 9 Japan A polygon has 4 dots on the perimeter. Find an expression for its area. www.marshallcavendish.com/education/mci
Students who have mastered the basic skills which include basic one-step and two-step problems are ready to handle at least the least demanding of the secondary courses.
999 – 724 = 275 1000 – 724 = 276
12 ÷ 4 = 3 2 tenths ÷ 4  20 hundredths ÷ 4  3.05 20 hundredths ÷ 4 = 5 hundredths
First Hall Second Hall 9 876 ÷ 3 = 3292 Third Hall 3292 ÷ 4 = 823 823 x 5 = 4000 + 100 + 15 = 4115 The second hall (and also the first hall) has 4115 chairs.
First Hall Second Hall Third Hall Handling Information ,[object Object]
 Adult models the behaviourRepresenting Solution ,[object Object]
 Adult coaches “Can you see..?”Computation ,[object Object]
 Encourage mental computation,[object Object]
                 Answer:      59  
43 x 1.2m 42 x 1.2m  = 42m + 8.4m = 50.4m   50.4m ÷ 36 = 1.4m 1.4 
1.4  
Handling Information / Correcting Mistake ,[object Object]
 Adult models the behaviourRepresenting Solution ,[object Object]
 Adult coaches – use a diagram
Look for a Pattern
 Adult coaches – use questionsChecking Answer ,[object Object]
 Encourage sense making,[object Object]
27 sweets were returned when they decided to have 8 each instead of 11. As each girl returned 3 sweets, there must be 9 girls to return 27 sweets. The last girl took 2 (to make her 6 sweets 8). That is why there were 25 sweets left over. 25 + 2 = 27 27 ÷ 3 = 9 9 + 1 = 10 	There were 10 girls. 10 x 8 + 25 = 105 	There were 105 sweets.
30 Men Women
14   13   38 2 units = 38 5 units = 19 x 5 = 95 512 ->95   14+13=712   1212 ->95÷5  12=19  12=190+38=228   There were 228 fruits altogether.  
Monday $3 Tuesday $100 $3 $3 Wednesday $3 $3 $3 Thursday
Monday Tuesday $100 – 6 x $3 = $82 Wednesday 4 units = $82 1 unit = $82 ÷ 4 = $20.50  Thursday $20.50 + $9 = $29.50 She saved $29.50 on Thursday.

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Surviving math

  • 1.
  • 2. St Edward School, Florida Da Qiao Primary School, Singapore
  • 3.
  • 4. Primary 1 Singapore 17 17 – 3 =  17 – 8 =  10 7 17 14 3 17 9 8 Da Qiao Primary School, Singapore
  • 5. Grade 2 USA   St Edward School, Florida  
  • 6. Grade 5 The Netherlands Archipelschool De Tweemaster – Kameleon, The Netherlands
  • 7. Archipelschool De Tweemaster – Kameleon, The Netherlands Grade 5 The Netherlands
  • 8. King Solomon Academy, London Year 7 England
  • 9. High School Attached to Tsukuba University, Japan Draw a polygon with no dots inside it. Investigate. Grade 9 Japan A polygon has 4 dots on the perimeter. Find an expression for its area. www.marshallcavendish.com/education/mci
  • 10. Students who have mastered the basic skills which include basic one-step and two-step problems are ready to handle at least the least demanding of the secondary courses.
  • 11.
  • 12. 999 – 724 = 275 1000 – 724 = 276
  • 13. 12 ÷ 4 = 3 2 tenths ÷ 4 20 hundredths ÷ 4 3.05 20 hundredths ÷ 4 = 5 hundredths
  • 14. First Hall Second Hall 9 876 ÷ 3 = 3292 Third Hall 3292 ÷ 4 = 823 823 x 5 = 4000 + 100 + 15 = 4115 The second hall (and also the first hall) has 4115 chairs.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.                  Answer: 59  
  • 20. 43 x 1.2m 42 x 1.2m = 42m + 8.4m = 50.4m  50.4m ÷ 36 = 1.4m 1.4 
  • 22.
  • 23.
  • 24.  Adult coaches – use a diagram
  • 25. Look for a Pattern
  • 26.
  • 27.
  • 28.
  • 29.
  • 30. 27 sweets were returned when they decided to have 8 each instead of 11. As each girl returned 3 sweets, there must be 9 girls to return 27 sweets. The last girl took 2 (to make her 6 sweets 8). That is why there were 25 sweets left over. 25 + 2 = 27 27 ÷ 3 = 9 9 + 1 = 10 There were 10 girls. 10 x 8 + 25 = 105 There were 105 sweets.
  • 31.
  • 33. 14   13   38 2 units = 38 5 units = 19 x 5 = 95 512 ->95   14+13=712   1212 ->95÷5  12=19  12=190+38=228   There were 228 fruits altogether.  
  • 34. Monday $3 Tuesday $100 $3 $3 Wednesday $3 $3 $3 Thursday
  • 35. Monday Tuesday $100 – 6 x $3 = $82 Wednesday 4 units = $82 1 unit = $82 ÷ 4 = $20.50 Thursday $20.50 + $9 = $29.50 She saved $29.50 on Thursday.
  • 36. dots on perimeter dots inside 12 0 8 2 4 4
  • 37. Sent to me by GOLD 90FM MrLim packed 387 apples.  Each apple had a mass of about 24g.  He put them into three different baskets.    The mass of the apples in Basket A was 3 times that of the apples in Basket C.  The mass of the apples in Basket B is twice that of the apples in Basket C.  The mass of the empty Basket C was 140g.    What was the total mass of Basket C and the apples in it? 387 x 24 g = 9288 g 6 units = 9288 g 1 unit = 1548 g A B C The total mass of Basket C and the apples in it is 1548 g + 140 g = 1688 g. It is about 1.7 kg.
  • 38. 14 units = 14 shells 1 unit = 1 shell Siti collected 30 shells. Xueling collected 34 shells. Jane + Xueling 50 units Xueling + Siti 64 units
  • 39. 343 – 257 = 86 Together they had 600 stamps Working Backwards Jim’s 7 eighths  343 Jim’s 8 eighths  392 George had 208 86 Jim George’s 2 fifths  208 George’s 5 fifths  520 Jim had 80 257 George Jim’s 1 third  80 Jim’s total at first  240 George had 360 at first
  • 40. 41 is under M 101 is under S 2011 is under T …. Really? How do you know?