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FRAC
 TION
  in singapore

 math
                                      Dr Yeap Ban Har
                          Marshall Cavendish Institute
                                            Singapore
Slides are available at      yeapbanhar@gmail.com

www.banhar.blogspot.com
Unlike the
  durian, there is
     nothing
Singaporean about
 Singapore Math.
“Mathematics is an excellent
 vehicle for the development
and improvement of a person’s
  intellectual competencies”
                 Singapore Ministry of Education 2006
Fuchun Primary School, Singapore   Keys Grade School, The Philippines

                                                    King Solomon Academy, London




Archipel-basisschool
       Tweemaster-
          Kameleon,
   The Netherlands
This course is in two parts.
 FRAC                                                                      Today we focus on topics
                                                                typically taught in upper primary

 TION                                                                levels i.e. grades four onwards.


  in singapore

 math
                          MAP202 TEACHING OF FRACTIONS
Slides are available at   reviewing fundamentals of singapore math


www.banhar.blogspot.com
FRAC
 TION
  in singapore

 math                     MAP202 TEACHING OF FRACTIONS
                          addition &
                          subtraction

Slides are available at

www.banhar.blogspot.com
My Pals Are Here! Mathematics (Second Edition)

                                                              1




                                                 3 fifths + 1 fifth



                                                                      Grade
                                                                        2
My Pals Are Here! Mathematics (Second Edition)

                                                            1
                                                 1 half + 1 fourth




                                                                     Grade
                                                                       3
My Pals Are Here! Mathematics (Second Edition)

                                                             1




                                                 3 fifths + 4 fifths



                                                                       Grade
                                                                         4
My Pals Are Here! Mathematics (Second Edition)

                                                              1
                                                 1 half + 4 fifths




                                                                     Grade
                                                                       5
FRAC         3 fifths + 1 fifth
             1 half + 1 fourth
TION         3 fifths + 4 fifths
systematic
             1 half + 4 fifths
 variation
Primary 2   3 fifths - 1 fifth
3 fourths
            Primary 3   3 fifths - 1 tenth
3 pieces
3 pencils   Primary 4
            Primary 4   8 fifths - 1 tenth
                        3 fifths - 3 tenths

FRAC        Primary 5   4 fifths - 1 half


TION                      1 1
                        3   1
spiral                    5 2

approach
1 1
3   1
  5 2

  1 1
3   1
  5 5

  1   1
3   1
  5 10
1 1
3   1
  5 2




        32 15
        10 10
1 1
3   1
  5 2
1 1
3   1
  5 2
1 1
3   1
  5 2




          12   5
        2    1
          10 10
boys
        34
girls
boys
        68
girls
boys
        88 – 68 = 20
girls
boys
        88 – 68 = 20
girls
boys


girls
boys


girls
boys                   2 girls units = 14
        34             1 girls unit = 7
girls                  3 girls units = 21

                  21 girls wear spectacles.
        34 – 20
FRAC
 TION
  in singapore

 math                     MAP202 TEACHING OF FRACTIONS
                          mixed numbers & improper
                          fractions



Slides are available at

www.banhar.blogspot.com
1   ?
1
  4   4
3   ?
1
  4   4
1   ?     3   ?
3         3
  4   4     4   4
1   ?
             1
               4   4
               3   ?
             1
               4   4
FRAC         3
               1   ?
TION           4   4
systematic     3   ?
             3
 variation     4   4
FRAC
 TION
  in singapore

 math                     MAP202 TEACHING OF FRACTIONS
                          multiplication &
                          division

Slides are available at

www.banhar.blogspot.com
Primary Mathematics (Standards Edition)
My Pals Are Here! Mathematics (Second Edition)




Princess Elizabeth Primary School, Singapore
My Pals Are Here! Mathematics (Second Edition)
If     can learn
                                                        children must too.




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MAP202b Teaching of Fractions 2

  • 1. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute Singapore Slides are available at yeapbanhar@gmail.com www.banhar.blogspot.com
  • 2. Unlike the durian, there is nothing Singaporean about Singapore Math.
  • 3.
  • 4.
  • 5. “Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competencies” Singapore Ministry of Education 2006
  • 6. Fuchun Primary School, Singapore Keys Grade School, The Philippines King Solomon Academy, London Archipel-basisschool Tweemaster- Kameleon, The Netherlands
  • 7.
  • 8.
  • 9. This course is in two parts. FRAC Today we focus on topics typically taught in upper primary TION levels i.e. grades four onwards. in singapore math MAP202 TEACHING OF FRACTIONS Slides are available at reviewing fundamentals of singapore math www.banhar.blogspot.com
  • 10. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS addition & subtraction Slides are available at www.banhar.blogspot.com
  • 11. My Pals Are Here! Mathematics (Second Edition) 1 3 fifths + 1 fifth Grade 2
  • 12. My Pals Are Here! Mathematics (Second Edition) 1 1 half + 1 fourth Grade 3
  • 13. My Pals Are Here! Mathematics (Second Edition) 1 3 fifths + 4 fifths Grade 4
  • 14. My Pals Are Here! Mathematics (Second Edition) 1 1 half + 4 fifths Grade 5
  • 15. FRAC 3 fifths + 1 fifth 1 half + 1 fourth TION 3 fifths + 4 fifths systematic 1 half + 4 fifths variation
  • 16. Primary 2 3 fifths - 1 fifth 3 fourths Primary 3 3 fifths - 1 tenth 3 pieces 3 pencils Primary 4 Primary 4 8 fifths - 1 tenth 3 fifths - 3 tenths FRAC Primary 5 4 fifths - 1 half TION 1 1 3 1 spiral 5 2 approach
  • 17. 1 1 3 1 5 2 1 1 3 1 5 5 1 1 3 1 5 10
  • 18. 1 1 3 1 5 2 32 15 10 10
  • 19. 1 1 3 1 5 2
  • 20. 1 1 3 1 5 2
  • 21. 1 1 3 1 5 2 12 5 2 1 10 10
  • 22. boys 34 girls
  • 23. boys 68 girls
  • 24. boys 88 – 68 = 20 girls
  • 25. boys 88 – 68 = 20 girls
  • 28. boys 2 girls units = 14 34 1 girls unit = 7 girls 3 girls units = 21 21 girls wear spectacles. 34 – 20
  • 29.
  • 30. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS mixed numbers & improper fractions Slides are available at www.banhar.blogspot.com
  • 31. 1 ? 1 4 4
  • 32. 3 ? 1 4 4
  • 33. 1 ? 3 ? 3 3 4 4 4 4
  • 34. 1 ? 1 4 4 3 ? 1 4 4 FRAC 3 1 ? TION 4 4 systematic 3 ? 3 variation 4 4
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS multiplication & division Slides are available at www.banhar.blogspot.com
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 54. My Pals Are Here! Mathematics (Second Edition) Princess Elizabeth Primary School, Singapore
  • 55. My Pals Are Here! Mathematics (Second Edition)
  • 56. If can learn children must too. This advertisement by Google says these: Google learns from typos and spelling mistakes we all make when searching to help give you quicker and more accurate search results. So if you type ‘grizzly pears’, we can guess that you probably meant ‘grizzly bears’. Goggle does not have a degree in English. We can do this because over the years we’ve studied how people search and learned what the most common errors are. So it’s good to know that all those little mistakes aren’t made in vain.