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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-­‐2013	
  SOMSD	
  implemen>ng	
  K-­‐2	
  
•  2013-­‐2014	
  SOMSD	
  implemen>ng	
  grades	
  3-­‐5	
  
•  All	
  teachers	
  trained	
  25+	
  hours	
  in	
  2011-­‐2012	
  
•  All	
  teachers	
  will	
  be	
  trained	
  30+	
  hours	
  in	
  2012-­‐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-­‐Part-­‐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-­‐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-­‐digit	
  +	
  without	
  regrouping	
     x	
  	
  as	
  repeated	
  groups	
  
              2-­‐digit	
  +	
  with	
  regrouping	
        ~ as	
  making	
  equal	
  groups	
  
              2-­‐digit	
  –	
  without	
  regrouping	
  
              2-­‐digit	
  –	
  with	
  regrouping	
  
    2	
       3-­‐digit	
  +	
  without	
  regrouping	
     x	
  and	
  ~ facts	
  2,	
  5,	
  10	
  
              3-­‐digit	
  +	
  with	
  regrouping	
        x	
  and	
  ~ facts	
  3	
  and	
  4	
  
              3-­‐digit	
  –	
  without	
  regrouping	
     	
  
              3-­‐digit	
  –	
  with	
  regrouping	
        	
  
    3	
       4-­‐digit	
  +	
  without	
  regrouping	
     x	
  and	
  ~ facts	
  6,	
  7,	
  8,	
  9	
  
              4-­‐digit	
  +	
  with	
  regrouping	
        2x1-­‐digit	
  without	
  regrouping	
  
              4-­‐digit	
  –	
  without	
  regrouping	
     3x1-­‐digit	
  without	
  regrouping	
  
              4-­‐digit	
  –	
  with	
  regrouping	
        2x1-­‐digit	
  with	
  regrouping	
  
              	
                                            3x1-­‐digit	
  with	
  regrouping	
  
                                                            2~1-­‐digit	
  without	
  remainder	
  
                                                            2~1-­‐digit	
  with	
  remainder	
  

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

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

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

                        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-­‐Part-­‐Whole	
  Problem	
  
3.	
  Bar	
  Models	
  
VisualizaBon,	
  ComputaBon,	
  &	
  Problem	
  Solving	
  




                                                   2nd	
  Grade:	
  	
  
                                     Harder	
  Part-­‐Part-­‐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	
  

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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. " +,$-!./! ( " 5 ! B! 7 ! *! 8 ! A! : ! '6
  • 2. Unique Attributes Of Singapore Math Kimberly Beane K-5 Supervisor of Math & Science Katie Costello K-5 Math Specialist
  • 3. Math  in  Focus:  Singapore  Math   •  Content,  Sequence,  and  Methods  Used  in  Singapore   •  Singapore  climbed  from  lowest  1/3  to  top  of  math  interna>onally   •  Math  in  Focus  is  the  name  of  the  U.S.  commercial  program   •  2012-­‐2013  SOMSD  implemen>ng  K-­‐2   •  2013-­‐2014  SOMSD  implemen>ng  grades  3-­‐5   •  All  teachers  trained  25+  hours  in  2011-­‐2012   •  All  teachers  will  be  trained  30+  hours  in  2012-­‐2013    
  • 4. Some  Unique  A<ributes  of  Singapore  Math   1.  VisualizaBon     2.  Rigor  of  TradiBonal  ComputaBon   3.  Problem  Solving  
  • 5. Some  Unique  A<ributes  of  Singapore  Math   1.  VisualizaBon     2.  Rigor  of  TradiBonal  ComputaBon   3.  Problem  Solving  
  • 6. 1.  VisualizaBon:  Parts  and  Whole   1st  Grade  Number  Bonds  
  • 7. 1.  VisualizaBon:  Parts  and  Whole   1st  Grade  Number  Bonds  
  • 8. 1.  VisualizaBon:  Parts  and  Whole   3rd  Grade  Number  Bonds  
  • 9. 1.  VisualizaBon:  Parts  and  Whole   Kindergarten  Part-­‐Part-­‐Whole  Visuals   Anchor  to  10  
  • 11. 1.  VisualizaBon:  Tens  and  Ones   Kindergarten   1st  Grade   Place  Value  
  • 12. * ( Welcome  to  Singapore  Math!   " +,$-!./!-,&!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-­‐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-­‐digit  +  without  regrouping   x    as  repeated  groups   2-­‐digit  +  with  regrouping   ~ as  making  equal  groups   2-­‐digit  –  without  regrouping   2-­‐digit  –  with  regrouping   2   3-­‐digit  +  without  regrouping   x  and  ~ facts  2,  5,  10   3-­‐digit  +  with  regrouping   x  and  ~ facts  3  and  4   3-­‐digit  –  without  regrouping     3-­‐digit  –  with  regrouping     3   4-­‐digit  +  without  regrouping   x  and  ~ facts  6,  7,  8,  9   4-­‐digit  +  with  regrouping   2x1-­‐digit  without  regrouping   4-­‐digit  –  without  regrouping   3x1-­‐digit  without  regrouping   4-­‐digit  –  with  regrouping   2x1-­‐digit  with  regrouping     3x1-­‐digit  with  regrouping   2~1-­‐digit  without  remainder   2~1-­‐digit  with  remainder   4   4x1-­‐digit  with  regrouping   Factors   3x2-­‐digit  with  regrouping   Mul>ples   4~1-­‐digit  with  remainder   Decimal  +  and  -­‐   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-­‐June  
  • 18. 2.  Rigor  With  TradiBonal  ComputaBon   Computa8on  taught  one  grade  earlier  in  Singapore  Math   Grade   AddiBon/SubtracBon   MulBplicaBon/Division   Other   1   2-­‐digit  +  without  regrouping   x    as  repeated  groups   2-­‐digit  +  with  regrouping   ~ as  making  equal  groups   2-­‐digit  –  without  regrouping   2-­‐digit  –  with  regrouping   2   3-­‐digit  +  without  regrouping   x  and  ~ facts  2,  5,  10   3-­‐digit  +  with  regrouping   x  and  ~ facts  3  and  4   3-­‐digit  –  without  regrouping     3-­‐digit  –  with  regrouping     3   4-­‐digit  +  without  regrouping   x  and  ~ facts  6,  7,  8,  9   4-­‐digit  +  with  regrouping   2x1-­‐digit  without  regrouping   4-­‐digit  –  without  regrouping   3x1-­‐digit  without  regrouping   4-­‐digit  –  with  regrouping   2x1-­‐digit  with  regrouping     3x1-­‐digit  with  regrouping   2~1-­‐digit  without  remainder   2~1-­‐digit  with  remainder   4   4x1-­‐digit  with  regrouping   Factors   3x2-­‐digit  with  regrouping   Mul>ples   4~1-­‐digit  with  remainder   Decimal  +  and  -­‐   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-­‐Part-­‐Whole  Problem  
  • 23. 3.  Bar  Models   VisualizaBon,  ComputaBon,  &  Problem  Solving   2nd  Grade:     Harder  Part-­‐Part-­‐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