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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.

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Page 1: CL and SM Parent Night march2014

Welcome!

•  How could you solve 56 – 18 in your mind?

•  Think of different ways to make 10…using only subtraction and/or division.

     

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Math  Instruc,onal  Blocks  and  Minutes  

K-­‐1  

2-­‐5  

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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"

!

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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"#!

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Math  Tasks  

Math  Content  

Mathema,cal  Prac,ce  

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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    

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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

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Daily  Math  Instruc,on  

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   •  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  

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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

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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

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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

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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  

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Math  Instruc,onal  Blocks  and  Minutes  

K-­‐1  

2-­‐5  

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Assessment  Iden,fy  skill  needs  and  mastery  

Tasks  Select  tasks  that  target  student  needs  

Monitor  Measure  student  progress  

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Individualized Math

Instruction

Problem  Solving  

Technology  Prac,ce  

Small  Group  Instruc,on  

Learning  Tasks  Or  Games  

Monitoring  

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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    

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ST  Math  Raises  Standardized  Test  Scores  

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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

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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

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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  

     

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Online  and  as  iPad  Apps  

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Aligned  Progress  Report  

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Aligned    Assessments  

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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