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# Part-Whole in Singapore Math for Parents

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### Part-Whole in Singapore Math for Parents

1. 1. Part-­‐Whole  Rela-onships   !"#\$%& Singapore  Math
2. 2.  2010
3. 3. Training  &  Implementa-on  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
4. 4. Math  Instruc/onal  Blocks  and  Minutes   K-­‐1   2-­‐5
5. 5. Homework  K-­‐1  •  Number  Sense  Games  or  Hands-­‐on  Tasks  •  Fact  Games  •  Online  Games  and  Tasks  (LiveBinder,  Math  in  Focus)    Gr.  2-­‐5  •  FACT  PRACTICE  Online  Games  and  Tasks  (LiveBinder,  Math  in  Focus)  •  Extra  Prac-ce  of  what  has  been  taught    •  Extension  word  problems  of  what  has  been  taught  •  Blackline  masters    from  district  instruc-onal  materials
6. 6. Parts  and  Wholes  in  Pictures
7. 7. Coun/ng   Look  &  Say  (Math  Talk)  Whole  Groups  Parts  of  the  Group      People  How  many  people?  How  many  adults?  How  many  soccer  players?  Soccer  Players  How  many  on  the  blue  team?  How  many  on  the  brown  team?  How  many  are  siVng?  How  many  are  standing?  Challenge  What  if  2  more  blue  players  come?  What  if  one  brown  player  gets  hurt?
8. 8. Numbers  to  20
9. 9. Grown  Up  Task:  Ten  Frames
10. 10. Number  Bonds
11. 11. Number  Bonds  to  Find  Unknowns
12. 12. Building  Mental  Math  Habits
13. 13. Number  Bonds  in  Upper  Grades
14. 14. Grown  Up  Task:  Number  Bonds   How  many  are  under  the   other  cup?
15. 15. Part-­‐Whole  Tens  &  Ones
16. 16. Part-­‐Whole  Tens  &  Ones
17. 17. Tens  and  Ones
18. 18. We  do  representa-ons  other  than   part-­‐whole!
19. 19. Grown  Up  Task:   Place  Value  Strips  Build  and  add  two    4-­‐  digit  numbers
20. 20. Part-­‐Whole  Bar  Models
21. 21. Introducing  Bar  Models
22. 22. Addi-on  Part-­‐Whole  Bar  Model  1.    Allison  jogs  6,860  meters  and  Calvin  jogs  5,470  meters.    How  far  do  the  jog  altogether?    2.  Mr.  Michaels  has  \$1,685.  Ms.  Kaby  has  \$2928  more  than  Mr.  Michaels.    How  much  money  does  Ms.  Kaby  have?
23. 23. Subtrac-on  Part-­‐Whole  Bar  Model  1.  Brad  has  1,300  stamps.  He  has  938  Canadian  stamps  and  the  rest  are  Malaysian.    How  many  Malaysian  stamps  does  Brad  have?  2.  There  are  3,160  books  in  a  shop.    1,226  are  in  English.  817  books  are  in  Spanish  and  the  rest  are  in  French.    How  many  French  books  are  there?
24. 24. Mul-plica-on  Part-­‐Whole  Bar  Model  1.  A  refrigerator  costs  5  -mes  as  much  as  a  television.    The  televisions  costs  \$429.    How  much  do  they  cost  all  together?  2.  Lilian  sold  114  -ckets  to  the  fair.    Rohani  sold  2  -mes  as  many  -ckets  as  Lilian.  Daquan  sold  3  -mes  as  many  -ckets  as  Lilian.    How  many  -ckets  did  they  sell  all  together?
25. 25. Division  Part-­‐Whole  Bar  Model  1.    Desmond  and  Melissa  collect  cards.    They  have  92  cards  in  all.    Melissa  has  three  -mes  as  many  cards  as  Desmond.    How  many  cards  does  Desmond  have?    2.    The  ﬂorist  buys  4  boxes  of  carna-ons.  There  are  21  carna-ons  in  each  box.    The  ﬂorist  puts  the  carna-ons  into  bouquets  of  6  carna-ons  each.  How  many  bouquets  of  carna-on  are  there?
26. 26. Frac-on  Part-­‐Whole  Bar  Model  1.    Rachel  bakes  a  pie  for  her  friends.    Priscilla  eats  2/6  of  the  pie  and  gives  the  rest  to  Tom.    How  much  pie  did  Tom  get?     2.  Three  friends  share  a  grapefruit.  Elena  at  1/3  of  the   grapefruit.    Lee  at  1/9  of  the  grapefruit.  Sara  at  4/9  of   the  grapefruit.    What  frac-on  of  the  grapefruit  did  they   eat  altogether?
27. 27. Add/Subtract  Challenge    Part-­‐Whole  Bar  Model  (3  Grade)   rd1.    The  mass  of  a  can  full  of  paint  in  7  kilograms  400  grams.  When  half  the  paint  is  poured  out,  the  total  mass  of  the  can  is    4  kilograms.    What  is  the  mass  of  the  empty  can?
28. 28. Mult/Div.  Challenge    Part-­‐Whole  Bar  Model  (3  Grade)   rd1.    Candice,  Kerry,  and  Nathan  sold  a  total  of  85  -ckets  to  the  school  show.    Candice  sold  3  -mes  as  many  as  Nathan.  Kerry  sold  4  more  -ckets  than  half  of  what  Nathan  sold.    How  many  -ckets  did  Kerry  sell?
29. 29. Part-­‐Whole  Rela-onships   !"#\$%& in  Singapore  Math  kbeane@somsd.k12.nj.us
30. 30. Internet  Resources  Kimberly  Beane’s  Singapore  Math  LiveBinder   hbp://www.livebinders.com/play/play?id=132843   Or  go  to  livebinders.com  and  search  kbeane    Kimberly  Beane’s  Presenta-ons  and  Trainings   hbp://www.slideshare.net/KimberlyBeane/presenta-ons    Bar  Modeling  Explained   hbp://ul-math.com/model-­‐method/   hbp://www.teach-­‐kids-­‐math-­‐by-­‐model-­‐method.com    Bar  Model  Prac-ce   hbp://www.thinkingblocks.com/    Singapore  Math  Materials   hbp://www.singaporemath.com   hbp://www.crystalspringsbooks.com  (search  math)    Math  in  Focus  (Houghton  Miﬄin-­‐Harcourt)   hbp://www.hmhco.com/shop/educa-on-­‐curriculum/math/math-­‐in-­‐focus-­‐ singapore-­‐math#sthash.FQFua8I0.OR8qH61B.dpbs