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Parent Nights March 2014 Clinton and South Mountain
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Welcome!
• How could you solve 56 – 18 in your mind?
• Think of different ways to make 10…using only subtraction and/or division.
Math Instruc,onal Blocks and Minutes
K-‐1
2-‐5
Common Core State Standards K-‐5 Mathema,cs Content
!" #" $" %" &" '"
()*+,-+."/"(012-+03-,4" !
5*6781"0+2"9:810,-)+;"-+"<0;8"=8+"
" 5*6781"0+2"9:810,-)+;">-,?"@10A,-)+;"
B80;*1868+,"0+2"C0,0"
9:810,-)+;"0+2"D3.8710-A"=?-+E-+."
F8)68,14"
!
Common Core State Standards for Mathema,cal Prac,ce
!!!
!"#$"%"#&'(") !"#$%&'#(')('#*+#,-*./'0(#%)1#,'-('2'-'#3)#(*/23)4#56'0"#
*"&$+','-) 7"#8'%(*)#%.(5-%95/:#%)1#;<%)535%532'/:"#
.#-/0"'1$) ="#>*)(5-<95#23%./'#%-4<0')5(#%)1#9-353;<'#56'#-'%(*)3)4#*+#*56'-("#
2+3"4,'-) ?"#$*1'/#@356#0%56'0%539("#
5++4$) A"#B('#%,,-*,-3%5'#5**/(#(5-%5'439%//:"#
!#"(,$,+') C"#D55')1#5*#,-'93(3*)"#
61#/(1/#") E"#F**&#+*-#%)1#0%&'#<('#*+#(5-<95<-'"#
*"7"1,1,+') G"#F**&#+*-#%)1#'H,-'((#-'4</%-35:#3)#-','%5'1#-'%(*)3)4"#!
Math Tasks
Math Content
Mathema,cal Prac,ce
Content Prac,ces
!!"#$$%$$&%'($! "#$%&!'
)*&%+" " ,*(%+"
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MS_Assess_1_Ch02_007-014.indd 11MS_Assess_1_Ch02_007-014.indd 11 1/13/09 11:46:45 AM1/13/09 11:46:45 AM
Grade 1
1.OA.A.1 Addi,on and Subtrac,on within 20 to solve problems using adding on, taking from, puAng together, taking apart, and unknowns in all posi,ons.
1. Perseverance 2. Reason quan,ta,vely 7. Make use of structure
Content Prac,ces
Grade 4: Ms. Sanchez has a bag of assorted nuts that contain almonds, pecans, and walnuts. 1/3 of the nuts are almonds and ¾ of the remainder are pecans. There are 300 nuts in the bag. How many walnuts are in the bag? (Draw a model to solve.)
4.NF.B.4c Solve word problems involving mul,plica,on of a frac,on by a whole number using visual frac,on models or equa,ons to represent the problem
4. Model with mathema,cs 7. Make use of structure
300 nuts
almonds
100
pecans walnuts
? 50 50 50
Daily Math Instruc,on
• Concrete (manipula,ves) to • Pictorial (visual models or drawings) to • Abstract representa,ons (numbers, symbols)
Jerome Bruner’s research proved that instruc,onal strategies build understanding for students when they move from…
Singapore Math Pedagogy: C-‐P-‐A
Singapore Math Pedagogy: Perceptual Variability
Zoltan Diene’s research proved that children gain the most conceptual understanding when they are exposed to a concept through a variety of materials or experiences.
p!q !
G3_WB_Ch_08(New).indd 153 12/17/08 6:11:40 PM
158 Chapter 6 Fractions and Mixed Numbers
© 2
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Mar
shal
l Cav
endi
sh In
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Example
Use a model to help you answer each question.
What is 23 of 18?
3 units
1 unit
18
? 2 units
So, 23 of 18 ! .
4. What is 34 of 16?
4 units Model:
1 unit
?
3 units
So, 34 of 16 ! .
5. What is 25 of 25?
units Model:
1 unit
units
So, 25 of 25 ! .
186
12
12
4A WB Chapter 06N.indd 1584A WB Chapter 06N.indd 158 12/22/08 8:52:54 AM12/22/08 8:52:54 AM
600 500
600
G3A_WB_Ch_02.indd 27 12/9/09 11:31:16 AM
144 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
shal
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sh In
tern
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nal (
Sing
apor
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rivat
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d
Write the correct mixed number in each box.
12.
0 1 17
17
27
37
47
57
67 1 1 2
7 1 67 2 2 1
7 2 47 3
Write a mixed number for each item.
13. The pears have a weight of
pounds.
14. The worm started crawling from 0 centimeters.
It has crawled centimeters.
4A WB Chapter 06N.indd 1444A WB Chapter 06N.indd 144 12/22/08 8:52:52 AM12/22/08 8:52:52 AM
4 6 24
G3_WB_Ch_06(New).indd 97 12/17/08 6:06:55 PM
Richard Skemp’s research proved that for long term learning to occur rela,onal understanding is more successful than procedural learning.
Singapore Math Pedagogy: Rela,onal Understanding
Part-‐Whole
Mental Math
Decomposing
Math Instruc,onal Blocks and Minutes
K-‐1
2-‐5
Assessment Iden,fy skill needs and mastery
Tasks Select tasks that target student needs
Monitor Measure student progress
Individualized Math
Instruction
Problem Solving
Technology Prac,ce
Small Group Instruc,on
Learning Tasks Or Games
Monitoring
At Home Grade Sept-‐Oct. Math in Focus/WriXen ST Math
K Coun,ng Games Math in Focus Games Hands On Review Tasks
15 minutes per week
1 Number Sense Games
Math in Focus Games Hands On Review Tasks
20-‐40 minutes per week
2 Add/Subtract Facts to 20
2-‐3 MIF Worksheets per Chapter 40-‐60 minutes per week
3 Add/Subtract Facts to 20 Mult 2,3, 4, 5, 10
In MIF Textbook Chapter Review (several days) Op,onal “Put on Your Thinking Cap”
45-‐60+ minutes per week
4 Mult. & Div Facts to 10
In MIF Textbook Chapter Review (several days) Op,onal “Put on Your Thinking Cap”
45-‐60+ minutes per week
5 Mult & Div Facts to 12
In MIF Textbook Chapter Review (several days) Op,onal “Put on Your Thinking Cap”
45-‐60+ minutes per week
ST Math Raises Standardized Test Scores
Singapore Math Pedagogy: Perceptual Variability
Zoltan Diene’s research proved that children gain the most conceptual understanding when they are exposed to a concept through a variety of materials or experiences.
p!q !
600 500
600
G3A_WB_Ch_02.indd 27 12/9/09 11:31:16 AM
G3_WB_Ch_08(New).indd 153 12/17/08 6:11:40 PM
158 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
shal
l Cav
endi
sh In
tern
atio
nal (
Sing
apor
e) P
rivat
e Li
mite
d
Example
Use a model to help you answer each question.
What is 23 of 18?
3 units
1 unit
18
? 2 units
So, 23 of 18 ! .
4. What is 34 of 16?
4 units Model:
1 unit
?
3 units
So, 34 of 16 ! .
5. What is 25 of 25?
units Model:
1 unit
units
So, 25 of 25 ! .
186
12
12
4A WB Chapter 06N.indd 1584A WB Chapter 06N.indd 158 12/22/08 8:52:54 AM12/22/08 8:52:54 AM
144 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
shal
l Cav
endi
sh In
tern
atio
nal (
Sing
apor
e) P
rivat
e Li
mite
d
Write the correct mixed number in each box.
12.
0 1 17
17
27
37
47
57
67 1 1 2
7 1 67 2 2 1
7 2 47 3
Write a mixed number for each item.
13. The pears have a weight of
pounds.
14. The worm started crawling from 0 centimeters.
It has crawled centimeters.
4A WB Chapter 06N.indd 1444A WB Chapter 06N.indd 144 12/22/08 8:52:52 AM12/22/08 8:52:52 AM
4 6 24
G3_WB_Ch_06(New).indd 97 12/17/08 6:06:55 PM
Internet Resources Kimberly Beane’s Singapore Math LiveBinder
hhp://www.livebinders.com/play/play?id=132843 Or go to livebinders.com and search kbeane
Kimberly Beane’s Presenta,ons and Trainings hhp://www.slideshare.net/KimberlyBeane/presenta,ons
ST Math Informa,on & Research
hhp://www.mindresearch.net/
Bar Model Prac,ce hhp://www.thinkingblocks.com/
Singapore Math Materials
hhp://www.singaporemath.com hhp://www.crystalspringsbooks.com (search math)
Math in Focus (Houghton Mifflin-‐Harcourt)
hhp://www.hmhco.com/shop/educa,on-‐curriculum/math/math-‐in-‐focus-‐singapore-‐math#sthash.FQFua8I0.OR8qH61B.dpbs
Online and as iPad Apps
Aligned Progress Report
Aligned Assessments
Alignment with CCSS K-‐5 Mathema,cs
2010-2011 2011-2012 2012-2013 2013-2014
Professional Development
K-2 Intro to Common Core Grade Level Content Review 3 Math Programs
New Grade Level Content Foundational Content PreRequisite Content Common Core Strategies
Lesson Structure New Models and Methods New Questions/Tasks
Using Supplement Data SGO Develop & Assess
3-5 Intro to Common Core Grade Level Content Review 3 Math Programs
New Grade Level Content Foundational Content PreRequisite Content Common Core Strategies
New Methods Models for Problem Solving New Questions/Tasks NJASK New Content
Lesson Structure Usage of Supplement Data SGO Develop & Assess Models for Prob Solving
Curriculum & Instruction
K-2 Individual. Math Instruct. Tools & Resources
Individual. Math Instruct.
New Instruct. Materials Draft Curriculum
New Supplement Materials
3-5 Individual. Math Instruct. Tools & Resources
Individual. Math Instruct. Tech. Tools for IMI
New Instruct. Materials
Draft Curriculum New Supplement Materials
Assessment
K-2 Revised Progress Report Revised Assessments Diagnostics for IMI
New Progress Report New Assessments PreRequisite Test for Inst.
3-5 Revised Progress Report Revised Assessments Diagnostics for IMI
New Progress Report New Assessments PreRequisite Test for Inst.
2010-2011 2011-2012 2012-2013 2013-2014