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                                                                                     (
                                                                                       Welcome	
 to	
 Singapore	
 Math!	
 
                                                                              "     +,$-!./!-,&!0.//.12!1304&#(solve.	
 
                                                                                                     Please	
 
                                                                                    5 ! 6!             7 ! )!       8 ! 9!   :! ;


                                                                              /."   <==>!$-!-,&!1304&#!4=1%/?

                                                                                     @                          '
                                                                                                   *                   A

                                                                              "
ternational (Singapore) Private Limited. Copying is permitted; see page ii.




                                                                              "     +,$-!./!   (
                                                                              "     5 ! B!             7 ! *!       8 ! A!   : ! '6
Unique Attributes	

Of Singapore Math	


      Kimberly Beane
         K-5 Supervisor of
          Math & Science




          Katie
         Costello
            K-5
       Math Specialist
Math	
 in	
 Focus:	
 Singapore	
 Math	
 

≒ Content,	
 Sequence,	
 and	
 Methods	
 Used	
 in	
 Singapore	
 
≒ Singapore	
 climbed	
 from	
 lowest	
 1/3	
 to	
 top	
 of	
 math	
 interna>onally	
 
≒ Math	
 in	
 Focus	
 is	
 the	
 name	
 of	
 the	
 U.S.	
 commercial	
 program	
 
≒ 2012-足2013	
 SOMSD	
 implemen>ng	
 K-足2	
 
≒ 2013-足2014	
 SOMSD	
 implemen>ng	
 grades	
 3-足5	
 
≒ All	
 teachers	
 trained	
 25+	
 hours	
 in	
 2011-足2012	
 
≒ All	
 teachers	
 will	
 be	
 trained	
 30+	
 hours	
 in	
 2012-足2013
Some	
 Unique	
 A<ributes	
 of	
 Singapore	
 Math	
 


1. VisualizaBon	
 	
 

2. Rigor	
 of	
 TradiBonal	
 ComputaBon	
 

3. Problem	
 Solving
Some	
 Unique	
 A<ributes	
 of	
 Singapore	
 Math	
 


1. VisualizaBon	
 	
 

2. Rigor	
 of	
 TradiBonal	
 ComputaBon	
 

3. Problem	
 Solving
1.	
 VisualizaBon:	
 Parts	
 and	
 Whole	
 

1st	
 Grade	
 Number	
 Bonds
1.	
 VisualizaBon:	
 Parts	
 and	
 Whole	
 
            1st	
 Grade	
 Number	
 Bonds
1.	
 VisualizaBon:	
 Parts	
 and	
 Whole	
 


3rd	
 Grade	
 Number	
 Bonds
1.	
 VisualizaBon:	
 Parts	
 and	
 Whole	
 
                              Kindergarten	
 Part-足Part-足Whole	
 Visuals	
 




Anchor	
 to	
 10
1.	
 VisualizaBon:	
 Anchor	
 to	
 10
1.	
 VisualizaBon:	
 Tens	
 and	
 Ones	
 
                                    Kindergarten	
 




1st	
 Grade	
                                                     Place	
 Value
*
                                                                                     (
                                                                                       Welcome	
 to	
 Singapore	
 Math!	
 
                                                                              "     +,$-!./!-,&!0.//.12!1304&#(solve.	
 
                                                                                                     Please	
 
                                                                                    5 ! 6!             7 ! )!       8 ! 9!   :! ;


                                                                              /."   <==>!$-!-,&!1304&#!4=1%/?

                                                                                     @                          '
                                                                                                   *                   A

                                                                              "
ternational (Singapore) Private Limited. Copying is permitted; see page ii.




                                                                              "     +,$-!./!   (
                                                                              "     5 ! B!             7 ! *!       8 ! A!   : ! '6
Some	
 Unique	
 A<ributes	
 of	
 Singapore	
 Math	
 


1. VisualizaBon	
 	
 

2. Rigor	
 of	
 TradiBonal	
 ComputaBon	
 

3. Problem	
 Solving
Solve:	
 	
 432	
 	
 178	
 =	
 




    Singapore	
 Math:	
 2nd	
 Grade	
 
       Previously:	
 3rd	
 Grade
2.	
 Rigor	
 With	
 TradiBonal	
 ComputaBon	
 

                   1st	
 Grade:	
 2-足digit	
 Subtrac>on	
 with	
 Regrouping	
 
                   	
 
                   Previously	
 taught	
 in	
 2nd	
 Grade	
 




                             3rd	
 Grade	
 Mul>plica>on	
 with	
 Regrouping	
 
                             	
 
                             Previously	
 taught	
 in	
 4th	
 Grade
2.	
 Rigor	
 With	
 TradiBonal	
 ComputaBon	
 
                       Computa8on	
 taught	
 one	
 grade	
 earlier	
 in	
 Singapore	
 Math	
 
Grade	
                AddiBon/SubtracBon	
                           MulBplicaBon/Division	
                                 Other	
 
    1	
      2-足digit	
 +	
 without	
 regrouping	
    x	
 	
 as	
 repeated	
 groups	
 
              2-足digit	
 +	
 with	
 regrouping	
       ~ as	
 making	
 equal	
 groups	
 
              2-足digit	
 	
 without	
 regrouping	
 
              2-足digit	
 	
 with	
 regrouping	
 
    2	
      3-足digit	
 +	
 without	
 regrouping	
    x	
 and	
 ~ facts	
 2,	
 5,	
 10	
 
              3-足digit	
 +	
 with	
 regrouping	
       x	
 and	
 ~ facts	
 3	
 and	
 4	
 
              3-足digit	
 	
 without	
 regrouping	
    	
 
              3-足digit	
 	
 with	
 regrouping	
       	
 
    3	
      4-足digit	
 +	
 without	
 regrouping	
    x	
 and	
 ~ facts	
 6,	
 7,	
 8,	
 9	
 
              4-足digit	
 +	
 with	
 regrouping	
       2x1-足digit	
 without	
 regrouping	
 
              4-足digit	
 	
 without	
 regrouping	
    3x1-足digit	
 without	
 regrouping	
 
              4-足digit	
 	
 with	
 regrouping	
       2x1-足digit	
 with	
 regrouping	
 
              	
                                           3x1-足digit	
 with	
 regrouping	
 
                                                            2~1-足digit	
 without	
 remainder	
 
                                                            2~1-足digit	
 with	
 remainder	
 

    4	
                                                    4x1-足digit	
 with	
 regrouping	
             Factors	
 
                                                            3x2-足digit	
 with	
 regrouping	
             Mul>ples	
 
                                                            4~1-足digit	
 with	
 remainder	
              Decimal	
 +	
 and	
 -足	
 

                        Each	
 topic	
 progresses	
 incrementally	
 to	
 improve	
 mastery.
Invests	
 Bme	
 in	
 foundaBonal	
 topics	
 early	
 in	
 the	
 year	
 to	
 prepare	
 for	
 
                   advanced	
 topics	
 by	
 the	
 end	
 of	
 the	
 year.	
 

                                                                      Grade	
 1	
 Math	
 in	
 Focus	
 

   Chap.	
 1:	
 Numbers	
 to	
 10	
                                                          9	
 Days	
    September	
 
   Chap.	
 2:	
 Number	
 Bonds	
                                                              6	
 Days	
    September	
 
   Chap.	
 3:	
 Addi>on	
 Facts	
 to	
 10	
                                                 9	
 Days	
     October	
 
   Chap.	
 4:	
 Subtrac>on	
 Facts	
 to	
 10	
                                              9	
 Days	
     October	
 
   Chap.	
 6:	
 Ordinal	
 Numbers	
                                                           7	
 Days	
    December	
 
   Chap.	
 7:	
 Numbers	
 to	
 20	
                                                          9	
 Days	
     January	
 
   Chap.	
 8:	
 Addi>on	
 and	
 Subtrac>on	
 Facts	
 to	
 20	
                           10	
 Days	
     January	
 
   Chap.	
 13:	
 AddiBon	
 &	
 SubtracBon	
 to	
 40	
                                     11	
 Days	
      March	
 
   (regrouping)	
 
   Chap.	
 14:	
 Mental	
 Math	
                                                              7	
 Days	
       April	
 
   Chap.	
 16:	
 Numbers	
 to	
 100	
 (Place	
 Value)	
                                    9	
 Days	
       April	
 
   Chap.	
 17:	
 AddiBon	
 and	
 SubtracBon	
 to	
 100	
                                   8	
 Days	
       May	
 
   Chap.	
 18:	
 MulBplicaBon	
 and	
 Division	
                                             7	
 Days	
       May	
 
   Chap.	
 19:	
 Money	
 (to	
 100	
 cents)	
                                               8	
 Days	
    May-足June
2.	
 Rigor	
 With	
 TradiBonal	
 ComputaBon	
 
                       Computa8on	
 taught	
 one	
 grade	
 earlier	
 in	
 Singapore	
 Math	
 
Grade	
                AddiBon/SubtracBon	
                           MulBplicaBon/Division	
                                 Other	
 
    1	
      2-足digit	
 +	
 without	
 regrouping	
    x	
 	
 as	
 repeated	
 groups	
 
              2-足digit	
 +	
 with	
 regrouping	
       ~ as	
 making	
 equal	
 groups	
 
              2-足digit	
 	
 without	
 regrouping	
 
              2-足digit	
 	
 with	
 regrouping	
 
    2	
      3-足digit	
 +	
 without	
 regrouping	
    x	
 and	
 ~ facts	
 2,	
 5,	
 10	
 
              3-足digit	
 +	
 with	
 regrouping	
       x	
 and	
 ~ facts	
 3	
 and	
 4	
 
              3-足digit	
 	
 without	
 regrouping	
    	
 
              3-足digit	
 	
 with	
 regrouping	
       	
 
    3	
      4-足digit	
 +	
 without	
 regrouping	
    x	
 and	
 ~ facts	
 6,	
 7,	
 8,	
 9	
 
              4-足digit	
 +	
 with	
 regrouping	
       2x1-足digit	
 without	
 regrouping	
 
              4-足digit	
 	
 without	
 regrouping	
    3x1-足digit	
 without	
 regrouping	
 
              4-足digit	
 	
 with	
 regrouping	
       2x1-足digit	
 with	
 regrouping	
 
              	
                                           3x1-足digit	
 with	
 regrouping	
 
                                                            2~1-足digit	
 without	
 remainder	
 
                                                            2~1-足digit	
 with	
 remainder	
 

    4	
                                                    4x1-足digit	
 with	
 regrouping	
             Factors	
 
                                                            3x2-足digit	
 with	
 regrouping	
             Mul>ples	
 
                                                            4~1-足digit	
 with	
 remainder	
              Decimal	
 +	
 and	
 -足	
 

                        Each	
 topic	
 progresses	
 incrementally	
 to	
 improve	
 mastery.
Some	
 Unique	
 A<ributes	
 of	
 Singapore	
 Math	
 


1. VisualizaBon	
 	
 

2. Rigor	
 of	
 TradiBonal	
 ComputaBon	
 

3. Problem	
 Solving
Some	
 Unique	
 A<ributes	
 of	
 Singapore	
 Math	
 


1. VisualizaBon	
 	
 

2. Rigor	
 of	
 TradiBonal	
 ComputaBon	
 

3. Problem	
 Solving
Bar	
 Models	
 
A	
 visual	
 diagram	
 used	
 to	
 solve	
 real	
 world	
 problems
3.	
 Bar	
 Models	
 
VisualizaBon,	
 ComputaBon,	
 &	
 Problem	
 Solving	
 
                                1st	
 Grade:	
 No	
 word	
 problem	
 




                                                            2nd	
 Grade:	
 	
 
                                              Simple	
 Part-足Part-足Whole	
 Problem
3.	
 Bar	
 Models	
 
VisualizaBon,	
 ComputaBon,	
 &	
 Problem	
 Solving	
 




                                                   2nd	
 Grade:	
 	
 
                                     Harder	
 Part-足Part-足Whole	
 Problem
3.	
 Bar	
 Models	
 
VisualizaBon,	
 ComputaBon,	
 &	
 Problem	
 Solving	
 
 3rd	
 Grade	
                 4th	
 Grade
Livebinder.com
	
 	
 	
 	
 	
 	
 	
 	
 To	
 get	
 Singapore	
 Math	
 info	
 
       Search	
 kbeane	
 at	
 livebinders.com	
 	
 OR	
 	
 
     www.livebinders.com/play/play?id=132843	
 




     To	
 view	
 this	
 or	
 other	
 presentaBons	
 
      Search	
 kbeane	
 at	
 slideshare.net	
 	
 OR	
 
www.slideshare.net/KimberlyBeane/presentaBons

More Related Content

Parent Intro To Math in Focus

  • 1. * ( Welcome to Singapore Math! " +,$-!./!-,&!0.//.12!1304&#(solve. Please 5 ! 6! 7 ! )! 8 ! 9! :! ; /." <==>!$-!-,&!1304&#!4=1%/? @ ' * A " ternational (Singapore) Private Limited. Copying is permitted; see page ii. " +,$-!./! ( " 5 ! B! 7 ! *! 8 ! A! : ! '6
  • 2. Unique Attributes Of Singapore Math Kimberly Beane K-5 Supervisor of Math & Science Katie Costello K-5 Math Specialist
  • 3. Math in Focus: Singapore Math ≒ Content, Sequence, and Methods Used in Singapore ≒ Singapore climbed from lowest 1/3 to top of math interna>onally ≒ Math in Focus is the name of the U.S. commercial program ≒ 2012-足2013 SOMSD implemen>ng K-足2 ≒ 2013-足2014 SOMSD implemen>ng grades 3-足5 ≒ All teachers trained 25+ hours in 2011-足2012 ≒ All teachers will be trained 30+ hours in 2012-足2013
  • 4. Some Unique A<ributes of Singapore Math 1. VisualizaBon 2. Rigor of TradiBonal ComputaBon 3. Problem Solving
  • 5. Some Unique A<ributes of Singapore Math 1. VisualizaBon 2. Rigor of TradiBonal ComputaBon 3. Problem Solving
  • 6. 1. VisualizaBon: Parts and Whole 1st Grade Number Bonds
  • 7. 1. VisualizaBon: Parts and Whole 1st Grade Number Bonds
  • 8. 1. VisualizaBon: Parts and Whole 3rd Grade Number Bonds
  • 9. 1. VisualizaBon: Parts and Whole Kindergarten Part-足Part-足Whole Visuals Anchor to 10
  • 11. 1. VisualizaBon: Tens and Ones Kindergarten 1st Grade Place Value
  • 12. * ( Welcome to Singapore Math! " +,$-!./!-,&!0.//.12!1304&#(solve. Please 5 ! 6! 7 ! )! 8 ! 9! :! ; /." <==>!$-!-,&!1304&#!4=1%/? @ ' * A " ternational (Singapore) Private Limited. Copying is permitted; see page ii. " +,$-!./! ( " 5 ! B! 7 ! *! 8 ! A! : ! '6
  • 13. Some Unique A<ributes of Singapore Math 1. VisualizaBon 2. Rigor of TradiBonal ComputaBon 3. Problem Solving
  • 14. Solve: 432 178 = Singapore Math: 2nd Grade Previously: 3rd Grade
  • 15. 2. Rigor With TradiBonal ComputaBon 1st Grade: 2-足digit Subtrac>on with Regrouping Previously taught in 2nd Grade 3rd Grade Mul>plica>on with Regrouping Previously taught in 4th Grade
  • 16. 2. Rigor With TradiBonal ComputaBon Computa8on taught one grade earlier in Singapore Math Grade AddiBon/SubtracBon MulBplicaBon/Division Other 1 2-足digit + without regrouping x as repeated groups 2-足digit + with regrouping ~ as making equal groups 2-足digit without regrouping 2-足digit with regrouping 2 3-足digit + without regrouping x and ~ facts 2, 5, 10 3-足digit + with regrouping x and ~ facts 3 and 4 3-足digit without regrouping 3-足digit with regrouping 3 4-足digit + without regrouping x and ~ facts 6, 7, 8, 9 4-足digit + with regrouping 2x1-足digit without regrouping 4-足digit without regrouping 3x1-足digit without regrouping 4-足digit with regrouping 2x1-足digit with regrouping 3x1-足digit with regrouping 2~1-足digit without remainder 2~1-足digit with remainder 4 4x1-足digit with regrouping Factors 3x2-足digit with regrouping Mul>ples 4~1-足digit with remainder Decimal + and -足 Each topic progresses incrementally to improve mastery.
  • 17. Invests Bme in foundaBonal topics early in the year to prepare for advanced topics by the end of the year. Grade 1 Math in Focus Chap. 1: Numbers to 10 9 Days September Chap. 2: Number Bonds 6 Days September Chap. 3: Addi>on Facts to 10 9 Days October Chap. 4: Subtrac>on Facts to 10 9 Days October Chap. 6: Ordinal Numbers 7 Days December Chap. 7: Numbers to 20 9 Days January Chap. 8: Addi>on and Subtrac>on Facts to 20 10 Days January Chap. 13: AddiBon & SubtracBon to 40 11 Days March (regrouping) Chap. 14: Mental Math 7 Days April Chap. 16: Numbers to 100 (Place Value) 9 Days April Chap. 17: AddiBon and SubtracBon to 100 8 Days May Chap. 18: MulBplicaBon and Division 7 Days May Chap. 19: Money (to 100 cents) 8 Days May-足June
  • 18. 2. Rigor With TradiBonal ComputaBon Computa8on taught one grade earlier in Singapore Math Grade AddiBon/SubtracBon MulBplicaBon/Division Other 1 2-足digit + without regrouping x as repeated groups 2-足digit + with regrouping ~ as making equal groups 2-足digit without regrouping 2-足digit with regrouping 2 3-足digit + without regrouping x and ~ facts 2, 5, 10 3-足digit + with regrouping x and ~ facts 3 and 4 3-足digit without regrouping 3-足digit with regrouping 3 4-足digit + without regrouping x and ~ facts 6, 7, 8, 9 4-足digit + with regrouping 2x1-足digit without regrouping 4-足digit without regrouping 3x1-足digit without regrouping 4-足digit with regrouping 2x1-足digit with regrouping 3x1-足digit with regrouping 2~1-足digit without remainder 2~1-足digit with remainder 4 4x1-足digit with regrouping Factors 3x2-足digit with regrouping Mul>ples 4~1-足digit with remainder Decimal + and -足 Each topic progresses incrementally to improve mastery.
  • 19. Some Unique A<ributes of Singapore Math 1. VisualizaBon 2. Rigor of TradiBonal ComputaBon 3. Problem Solving
  • 20. Some Unique A<ributes of Singapore Math 1. VisualizaBon 2. Rigor of TradiBonal ComputaBon 3. Problem Solving
  • 21. Bar Models A visual diagram used to solve real world problems
  • 22. 3. Bar Models VisualizaBon, ComputaBon, & Problem Solving 1st Grade: No word problem 2nd Grade: Simple Part-足Part-足Whole Problem
  • 23. 3. Bar Models VisualizaBon, ComputaBon, & Problem Solving 2nd Grade: Harder Part-足Part-足Whole Problem
  • 24. 3. Bar Models VisualizaBon, ComputaBon, & Problem Solving 3rd Grade 4th Grade
  • 26. To get Singapore Math info Search kbeane at livebinders.com OR www.livebinders.com/play/play?id=132843 To view this or other presentaBons Search kbeane at slideshare.net OR www.slideshare.net/KimberlyBeane/presentaBons