Download - Part-Whole in Singapore Math for Parents
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Part-‐Whole Rela-onships !"#$%&
Singapore Math
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2010
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Training & Implementa-on
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Math Instruc/onal Blocks and Minutes
K-‐1
2-‐5
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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
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Parts and Wholes in Pictures
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Coun/ng 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?
Look & Say (Math Talk)
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Numbers to 20
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Grown Up Task: Ten Frames
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Number Bonds
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Number Bonds to Find Unknowns
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Building Mental Math Habits
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Number Bonds in Upper Grades
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How many are under the other cup?
Grown Up Task: Number Bonds
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Part-‐Whole Tens & Ones
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Part-‐Whole Tens & Ones
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Tens and Ones
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We do representa-ons other than part-‐whole!
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Grown Up Task: Place Value Strips
Build and add two 4-‐ digit numbers
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Part-‐Whole Bar Models
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Introducing Bar Models
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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?
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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?
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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?
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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?
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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?
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Add/Subtract Challenge Part-‐Whole Bar Model (3rd Grade)
1. 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?
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Mult/Div. Challenge Part-‐Whole Bar Model (3rd Grade)
1. 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?
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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