conversation practices days 1 – 3 - schoolwires · 2015. 8. 15. · 6th grade 1!...

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6 th Grade 1 Academic English Mastery Program Conversation Practices Days 1 – 3 Overview: This series of lessons are intended to be delivered for fortyfive minutes to one hour over the course of three days. Please adjust the time and number of days according to the needs of your students. ATA GLANCE California State Standards CSS 6EE.2c. Perform arithmetic operations, including those involving wholenumber exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). CCSS Mathematical Practice 3 Construct viable arguments and critique the arguments of others. CCSS Speaking and Listening 6.1 Engage effectively in a range of collaborative discussions (one onone, in groups, and teacherled) with diverse partners on grade 6 topics, texts, and issues, building on others’ ideas and expressing their own clearly. OBJECTIVE Students will be able to use Standard English in Mathematics to produce complex oral output using all four conversation skills: (CREATE, CLARIFY, NEGOTIATE and FORTIFY) to interact and communicate their ideas with others. Depth of Knowledge Levels DOK1: Brainstorm ideas, concepts, problems, or perspectives related to a topic or concept. DOK 1: Recall, locate basic details DOK 2: Give examples DOK 3: Support ideas with details and examples DOK 3: Explain ideas using supporting evidence DOK 3: Justify or critique conclusions drawn DOK 4: Analyze discourse styles Essential Question What makes an answer reasonable? Access Strategies Making Cultural Connections Contrastive Analysis Cooperative and Communal Learning Environments Instructional Conversations Academic Language Development Advanced Graphic Organizers Protocols Moment of Silence Silent Appointment Fish Bowl Raise a Righteous Hand

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Page 1: Conversation Practices Days 1 – 3 - Schoolwires · 2015. 8. 15. · 6th Grade 1! Academic(English(Mastery(Program(! Conversation Practices Days 1 – 3 Overview:"This"series"of"lessons"are"intended"to"be"delivered"for"forty3five

6th Grade    

1  Academic  English  Mastery  Program  

 

Conversation Practices Days 1 – 3

Overview:    This  series  of  lessons  are  intended  to  be  delivered  for  forty-­‐five  minutes  to  one  hour  over  the  course  of  three  days.    Please  adjust  the  time  and  number  of  days  according  to  the  needs  of  your  students.      

AT-­‐A-­‐  GLANCE  California  State  Standards  

 CSS  6EE.2c.  Perform  arithmetic  operations,  including  those  involving  whole-­‐number  exponents,  in  the  conventional  order  when  there  are  no  parentheses  to  specify  a  particular  order  (Order  of  Operations).      CCSS  Mathematical  Practice  3  Construct  viable  arguments  and  critique  the  arguments  of  others.    CCSS  Speaking  and  Listening  6.1  Engage  effectively  in  a  range  of  collaborative  discussions  (one-­‐on-­‐one,  in  groups,  and  teacher-­‐led)  with  diverse  partners  on  grade  6  topics,  texts,  and  issues,  building  on  others’  ideas  and  expressing  their  own  clearly.    

 OBJECTIVE  

Students  will  be  able  to  use  Standard  English  in  Mathematics  to  produce  complex  oral  output  using  all  four  conversation  skills:  (CREATE,  CLARIFY,  NEGOTIATE  and  FORTIFY)  to  interact  and  communicate  their  ideas  with  others.      

Depth  of  Knowledge  Levels  

DOK1:    Brainstorm  ideas,  concepts,  problems,  or  perspectives  related  to  a  topic  or                                concept.      DOK  1:  Recall,  locate  basic  details  DOK  2:  Give  examples  DOK  3:  Support  ideas  with  details  and  examples  DOK  3:  Explain  ideas  using  supporting  evidence  DOK  3:  Justify  or  critique  conclusions  drawn    DOK  4:  Analyze  discourse  styles    

Essential  Question  

What  makes  an  answer  reasonable?  

Access  Strategies  

 Making  Cultural  Connections    Contrastive  Analysis    Cooperative  and  Communal  Learning  Environments    Instructional  Conversations    Academic  Language  Development    Advanced  Graphic  Organizers  

 Protocols   • Moment  of  Silence  

• Silent  Appointment  • Fish  Bowl  • Raise  a  Righteous  Hand  

Page 2: Conversation Practices Days 1 – 3 - Schoolwires · 2015. 8. 15. · 6th Grade 1! Academic(English(Mastery(Program(! Conversation Practices Days 1 – 3 Overview:"This"series"of"lessons"are"intended"to"be"delivered"for"forty3five

6th Grade    

2  Academic  English  Mastery  Program  

• Turn  and  Talk  • Think-­‐Pair-­‐Share  • Give  one,  Get  One      • Musical  Shares  • Pick  A  Stick  • Call  and  Response  

Materials                    

• Please  Excuse  My  Dear  Aunt  Sally  Music  Video  http://www.teachertube.com/video/pemdas-­‐rap-­‐79967  

• PEMDAS  video:  https://www.youtube.com/watch?v=4xsyXu9J8CA#t=108  • Advanced  Graphic  Organizer  • Facebook  Math  Problem  • Constructive  Conversation  Skills  Mat  • Math  Constructive  Conversation  Skills  Mat  • Facebook  Math  Problem  • Geometric  Figures  • Operational  Symbols  • Culminating  Task  Handout  • Math  Paired  Conversation  Protocol  • Math  Journal  

Key  Vocabulary  

*Day  1   Day  2   Day  3  Order  of  Operations  Parenthesis  Exponent  Multiplication  Division    Addition  Subtraction  Symbols  Numerical  Expressions      

Reasonable  Argument  Critique  

                   Review  of                              Vocabulary                            from  Days  1                            &  2    

       

Resources   Academic  English  Mastery  Program  Resources  and  Publications  (Available  from  AEMP  Website-­‐  http://achieve.lausd.net/Page/191)  Teachers  Guide  to  Supporting  African  American  Standard  English  Learners  Teachers  Guide  to  Supporting  Mexican  American  Standard  English  Learners  Teachers  Guide  to  Supporting  Hawaiian  American  Standard  English  Learners    Hollie,  S.  (2015).  Strategies  for  Culturally  and  Linguistically  Responsive  Teaching  and  Learning  .  Huntington  Beach,  CA:  Shell  Education.    Conversation  Analysis  Tool  (CAT),  Jeff  Zwiers  Resources  and  Tools:  http://jeffzwiers.org/tools-­‐-­‐resources.html      

*Teacher  introduces  vocabulary  on  Day  one  and  revisits  vocabulary  on  subsequent  days  for  deeper  understanding.  

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6th Grade    

3  Academic  English  Mastery  Program  

 Math  Constructive  Conversation  Skills  Poster  Math  Paired  Conversation  Protocol  

Culminating  Task  

Students  will  create  numerical  expressions  that  models  the  order  of  operations.  In  cooperative  groups  students  will  practice  constructive  conversations  to  argue  the  reasonableness  of  their  model  and  solution.    Writing  Task:  In  pairs  using  their  Math  Journal,  students  will  create  and  model  a  numerical  expression  using  geometric  pattern  blocks  and  describing  the  order  of  operations  used  to  simplify  their  expression.      

 

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6th Grade    

4  Academic  English  Mastery  Program  

    DAY  1  California  State  Standards  

CSS  6EE.2c.  Perform  arithmetic  operations,  including  those  involving  whole-­‐number  exponents,  in  the  conventional  order  when  there  are  no  parentheses  to  specify  a  particular  order  (Order  of  Operations).      CCSS  Mathematical  Practice  3  Construct  viable  arguments  and  critique  the  arguments  of  others.    CCSS  Speaking  and  Listening  6.1  Engage  effectively  in  a  range  of  collaborative  discussions  (one-­‐on-­‐one,  in  groups,  and  teacher-­‐led)  with  diverse  partners  on  grade  6  topics,  texts,  and  issues,  building  on  others’  ideas  and  expressing  their  own  clearly.    

CLR  Objective   Students  will  be  able  to  use  Standard  English  in  Mathematics  to  produce  complex  oral  output  while  employing  the  conversation  skills  CREATE  and  CLARIFY  to  interact  and  communicate  their  reasoning  for  their  proposed  solution.      

Depth  of  Knowledge  Levels  

DOK1:    Brainstorm  ideas,  concepts,  problems,  or  perspectives  related  to  a  topic  or                                concept.    DOK2:    Give  examples.    

Essential  Question  

 What  makes  an  answer  reasonable?  

Access  Strategies  

 Making  Cultural  Connections    Contrastive  Analysis    Cooperative  and  Communal  Learning  Environments    Instructional  Conversations    Academic  Language  Development    Advanced  Graphic  Organizers  

 Protocols   § Moment  of  Silence  

§ Raise  a  Righteous  Hand  § Give  One,  Get  One  

Materials   • Facebook  Word  Problem    • PEMDAS  Advanced  Graphic  Organizer,    • Constructive  Conversation  Skills  Mat  • Math  Constructive  Conversation  Skills  Mat  

Key  Vocabulary  

§ Order  of  Operations  § Parenthesis  § Exponent  § Multiplication  § Division    § Addition  § Subtraction  § Symbols  

 Opening   Say:  I  need  help!    While  browsing  Facebook  the  other  day,  I  noticed  a  numerical  expression  

posted.    Several  people  commented  on  this  post.    Each  person  submitted  a  different  solution  

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6th Grade    

5  Academic  English  Mastery  Program  

and  argued  why  their  solution  was  correct.    Some  people  began  to  critique  the  responses  of  others.    Others  even  provided  evidence  to  justify  why  their  answer  was  reasonable.  Can  you  assist  in  helping  the  social  media  community  find  a  reasonable  solution  to  this  debate?  The  problem  read:    

                                                                         

 Say:  During  the  next  3  days  we  will  learn  skills  that  will  help  us  continue  to  have  constructive,  meaningful,  useful  and  academic  conversations  all  year  long.    The  four  skills  are  CREATE,  CLARIFY,  FORTIFY  and  NEGOTIATE.    We  will  use  these  skills  to  help  us  explore  this  question,  “What  makes  an  answer  reasonable?”    As  we  explore  the  topic,  we  will  view  more  visual  and  written  texts  that  will  help  us  think  about  how  to  answer  our  essential  question.        Say:  When  we  have  conversations  we  will  follow  some  conversation  norms.                      Teacher  reviews  the  conversation  norms  chart.    Teacher  will  model  each  norm.        Say:  Today,  we  are  going  to  be  introduced  to  constructive  conversation  skills  that  will  help  us  communicate  ideas  and  solve  Math  problems.    The  conversation  skills  we  will  learn  about  today  are  CREATE  &  CLARIFY.    When  we  CREATE,  we  say  what  we  think  or  notice  about  something.    We  will  work  together  in  a  variety  of  collaborative  groups,  creating  our  ideas  and/or  opinions,  and  sharing  them  while  adapting  our  speech  and  using  standard  English  as  appropriate  for  the  situation.  When  we  CLARIFY  we  seek  to  clearly  understand  what  our  partners  are  saying.    When  CLARIFYING,  we  listen,  paraphrase,  and  ask  questions  to  make  sure  we  fully  understand  what  was  said.      Distribute  and  refer  to  Constructive  Conversation  Skills  Mats.                                                                                

Conversation  Norms  1. Use  your  think  time  2. Use  the  language  of  the  skill  3. Use  your  conversation  voice  4. Listen  Respectfully  5. Take  turns  and  build  on  each  other’s  ideas  

 

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6th Grade    

6  Academic  English  Mastery  Program  

               Remind  students  to  use  their  think  time.    Prompt  students  when  it  is  time  to  share  with  their  ideas  with  their  partners.  Have  students  “Raise  a  Righteous  Hand”  to  share  their  responses.        Refer  to  posted  lesson  objectives/standards.      Say:  Today  you  will  “use  your  think  time,”  while  observing  a  “Moment  of  Silence,”  as  you  think  about  the  Facebook  projected  on  the  board.    (The  teacher  should  print  and  display  the  Facebook  post  handout)    

Model/Guide    

Say:  The  skill  we  are  working  on  today  is  CREATE,  which  means  we  are  sharing  our  ideas  and  initial  solutions.        Model  the  hand  gesture  and  phrase  for  CREATE-­‐  hands  starting  on  each  side  of  the  head  with  fingers  closed,  make  an  exploding  motion  with  hands  and  fingers,  and  finishing  with  them  spread  wide  on  each  side  in  the  air.    Have  class  practice  the  hand  gesture  and  saying  together  a  few  times.      Say:  To  share  our  ideas,  we  will  use  the  language  of  the  skill  CREATE.    We  will  use  phrases  like:  “One  idea  could  be…”,  “My  idea  is…”,  “I  think…”  Display  the  chart  of  the  Response  Starters.    Have  one  half  of  the  room  read  the  prompt  starters  and  have  the  other  half  of  the  class  read  the  corresponding  response  starter.      

CREATE  

 Prompt  Starters:  What  is  your  idea?  How  can  we  combine  these  ideas?  What  do  we  need  to  do?  What  are  other  points  of  view?  What  do  you  think  about…?  Why…How…I  wonder…  

Response  Starters:  One  idea  could  be  …  My  hypothesis  is…  That  reminds  me  of…  I  noticed  the  pattern  of…  I  think  it  depends  on…  

   

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6th Grade    

7  Academic  English  Mastery  Program  

                             

The  teacher  introduces  and  models  the  hand  gesture  for  CLARIFY.    (The  teacher  places  their  hands  over  eyes  and  gestures  as  if  focusing  binoculars.)        Say:  We  are  also  going  to  make  sure  we  use  vocabulary  specific  to  Mathematics.  I  will  chart  those  vocabulary  words  so  we  can  also  refer  to  them  

during  our  conversations.      Say:  We  are  going  to  share  our  ideas  with  a  partner.    Let’s  revisit  our  Conversation  Norms.    The  second  conversation  norm  is,  “Use  the  language  of  the  skill.”    Demonstration    The  teacher  will  select  a  student  volunteer  for  a  fish  bowl.    MODEL  Student  A:    How  do  I  begin  to  solve  this  problem?  (Create)  Teacher:    I  think  it  depends  on  the  order  of  operations.  Student  B:  What  do  we  need  to  know  to  carry  out  the  order  of  operations?  (Create)  Teacher:  In  order  to  solve  this  equation  correctly  we  need  to  learn  where  to  begin  solving  this  multi-­‐step  problem.  (Clarify)    Debrief    Teacher:    Converse  with  your  partner.  Answer  the  following  prompt:  How  did  my  partners  and  I  demonstrate  use  of  the  language  for  CREATE  &  CLARIFY?        After  1  minute,  bring  the  students  back  to  share-­‐out.      Targeted  Response:  I  heard  you  sharing  ideas  and  using  the  language  of  the  skill  to  start  statements  and  ask  questions.    

Clarifying  

 Prompt  Starters  What  does  that  mean?        What  do  you  mean  by....?  Say  more  about…  Why...  How…What…When…  Can  you  be  more  specific?  Does  that  make  sense?  Do  you  know  what  I  mean?  What  do  you  think?  

 

Response  Starters  I  think  it  means…  In  other  words,    Let  me  see  if  I  heard  you  right…  In  other  words,  you  are  saying  that…  What  I  understood  was…  It  sounds  like  you  think  that…  A  different  way  to  say  it...    

Vocabulary Parenthesis Solution Exponent Division Subtraction Multiplication Addition Reasonable Operations Justify Equation Critique Problem Argue Order of Operations

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6th Grade    

8  Academic  English  Mastery  Program  

Practice   Say:  We  will  use  a  graphic  organizer  to  assist  with  solving  my  Facebook  dilemma.  Organize  your  work  using  the  advanced  graphic  organizer.  Distribute  copies  of  the  advanced  graphic  organizer.                                                                                                                                      Students  solve  Facebook  problem  independently  (5  mins).    Next,  students  engage  in  the  give  one  get  one  protocol  to  practice  constructive  conversation  skills  in  order  to  clarify  problem  and  create  ideas  for  solving  it.    

Note:  Observe  students  as  they  participate  in  conversations.  The  following  formative  assessments  are  located  in  the  resource  packet.  

• “Student  Observation  Tool  for  Using  Complex  Output”  • “Formative    Assessment  Tool  for  Academic  Interactions”  

 Students  will  Raise  A  Righteous  Hand  to  share  their  solutions.    Be  sure  to  provide  verbal  praise  to  students  who  follow  the  conversation  norms  and  use  the  appropriate  language  of  the  discipline  and  language  skill.  

Wrap  -­‐Up   Say:    Today,  we  discussed  important  Conversation  Skills.    We  learned  how  we  might  CREATE  &  CLARIFY  ideas  for  problem  solving.    I  modeled  Conversation  Norms  that  remind  us  to  listen  respectfully  and  to  use  the  language  of  the  skill  when  speaking.    Most  of  all,  you  worked  with  partners  to  practice  building  constructive  conversations  about  Order  of  Operations.  Tomorrow,  we  will  continue  to  learn  conversation  skills  that  will  help  us  communicate  effectively.    

                         

 

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6th Grade    

9  Academic  English  Mastery  Program  

      DAY  2  California  State  Standards  

 CSS  6EE.2c.  Perform  arithmetic  operations,  including  those  involving  whole-­‐number  exponents,  in  the  conventional  order  when  there  are  no  parentheses  to  specify  a  particular  order  (Order  of  Operations).      CCSS  Mathematical  Practice  3  Construct  viable  arguments  and  critique  the  arguments  of  others.    CCSS  Speaking  and  Listening  6.1  Engage  effectively  in  a  range  of  collaborative  discussions  (one-­‐on-­‐one,  in  groups,  and  teacher-­‐led)  with  diverse  partners  on  grade  6  topics,  texts,  and  issues,  building  on  others’  ideas  and  expressing  their  own  clearly.  

CLR  Objectives  

Students  will  be  able  to  use  Standard  English  in  Mathematics  to  produce  complex  oral  output  while  employing  the  conversation  skills:  NEGOTIATE  and  FORTIFY  to  interact  and  communicate  their  ideas  with  others.      

Depth  of  Knowledge  Levels  

DOK  3:  Explain  ideas  using  supporting  evidence  DOK  3:  Justify  or  critique  conclusions  draw  

Essential  Question  

 What  makes  an  answer  reasonable?  

Access  Strategies  

 Making  Cultural  Connections    Contrastive  Analysis    Cooperative  and  Communal  Learning  Environments    Instructional  Conversations    Academic  Language  Development    Advanced  Graphic  Organizers  

 Protocols   • Silent  Appointment  

• Pick  A  Stick  • Call  and  Response  • Musical  Shares  

   Materials   • Constructive  Conversation  Skills  Mat  

• Math  Journal  Key  Vocabulary  

• Argument  • Critique  

Resources   Same  as  Day  1  

Opening   Say:  Thinking  back  to  our  Facebook  dilemma,  based  on  your  work  yesterday  we  have  narrowed  our  responses  to  two  answers!    The  two  solution  choices  are  10  and  58!    Two  totally  different  solutions  right?    When  reading  the  responses,  I  can  see  how  one  will  derive  at  this  solution  and  have  correctly  performed  all  of  the  mathematical  operations.    However,  there  is  only  one  correct  answer!  So  which  solution  is  correct?    Why?    How  might  you  argue  your  solution?    Why  is  your  solution  reasonable?    What  mistake  might  the  other  person  have  made?  

Model/Guide   Say:    Yesterday  we  practiced  some  of  the  Conversation  Norms  and  Skills.    Today,  you  will  explain  your  ideas  using  targeted  transitional  phrases  and  evidence  from  your,  notes,  math  

• Same  as  Day  One    • Reasonable    

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6th Grade    

10  Academic  English  Mastery  Program  

  book,  and  your  personal  experiences.    This  is  called  FORTIFYING  and  NEGOTIATING.  This  will  also  require  that  we  take  turns  and  build  on  each  other’s  ideas.      In  order  to  learn  from  each  other,  we  have  to  share  our  best  thinking  and  listen  carefully  so  we  can  add  supporting  evidence  to  fortify  ideas.    Taking  turns  is  everyone’s  responsibility.    Remember,  the  goal  of  constructive  conversations  is  to  learn  from  each  other.      Introduce  the  hand  gesture  for  FORTIFY  (teacher  places  his/her  hands  by  her  head  as  if  showing  off  muscles).  To  help  us  remember  the  skill  we  are  practicing,  we  are  going  to  be  using  a  corresponding  phrase  “make  our  ideas  stronger”.  Teacher  will  explain  to  students  that  we  use  this  gesture  to  show  when  we  have  new  supporting  ideas.      Say:  When  we  FORTIFY  ideas,  we  make  our  ideas  stronger.      Introduce  the  charts  for  transition  starters  and  fortifying  sentence  starters.  

 Say:    We  will  also  gather  evidence  from  a  visual  text  that  further  discusses  the  order  of  operations.  We  will  use  the  evidence  presented  in  this  evidence  to  negotiate  or  support  opposing  opinions.    In  order  to  fortify  complex  text,  students  identify  and  evaluate  multiple  examples  of  evidence.    We  will  practice  Negotiating  ideas,  which  include  challenging  an  idea  by  presenting  counterexamples  or  other  ideas  that  oppose  or  compete  with  it.      Introduce  hand  gesture  for  NEGOTIATE.  To  help  us  remember  we  are  going  to  be  using  a  synonymous  phrase  and  gesture.  (Teacher  extends  arms  with  palms  upturned  and  moves  arms  in  balancing  motion.)    Teacher  will  explain  to  students  that  we  use  this  gesture  to  show  when  we  NEGOTIATE  our  ideas.  When  we  negotiate  ideas,  we  challenge  someone’s  idea  by  presenting  counterexamples  or  other  ideas  that  oppose  or  compete  with  it.                

Fortifying  Sentence  Starters  

 Prompt  Starters  

Can  you  give  an  example  from  the  text?  What  are  examples  from  other  texts?  What  is  a  real  world  example?      Are  there  any  cases  of  that  in  real  life?  Can  you  give  an  example  from  your  life?    

Response  Starters  For  example,  In  the  text  it  said  that…  Remember  in  the  other  story  we  read  that…  An  example  from  my  life  is  One  case  that  illustrates  this  is…  Strong  supporting  evidence  is    

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11  Academic  English  Mastery  Program  

Demonstration  Ask  for  a  student  volunteer.      NON-­‐MODEL  (Non-­‐models  will  be  included  in  some  lessons.    Please  use  your  discretion  as  to  whether  or  not  you  want  to  present  a  non-­‐model  to  your  class.    However,  presenting  a  model  is  not  optional  because  it  makes  expectations  clear  to  students.    

 Model  Student  A:    Can  you  give  an  example  from  the  video  that  models  the  order  of  operations?  (Fortify)  Student  B:    For  example,  when  the  rapper  says  Oooo  and  puts  his  hands  around  his  mouth,  he  is  modeling  the  use  of  parenthesis  first.  (Fortify)  Student  A:    Can  you  explain  why  the  rapper  referred  to  PEMDAS  during  the  video?  Student  responds  in  a  clear  voice.  (Negotiate)  Student  B:    That  makes  me  think  of  a  visual  and  verbal  cue  to  help  me  remember  the  order  of  operations  (Negotiate)    Debrief    Teacher:  How  did  the  students  demonstrate  the  use  of  Fortify  and  Negotiate  prompt  starters  during  their  conversation?  How  might  the  use  of  prompt  starters  assist  students  in  respectfully  disagree?  After  1  minute,  bring  the  students  back  to  share  their  responses.        Targeted  Response:  The  students  began  their  response  with  phrases  that  showed  evidence  from  the  video.  Students  asked  questions  in  order  to  respectfully  explain  and  support  reasoning.        Project  the  Math  video  “Please  Excuse  My  Dear  Aunt  Sally”  by  Mr.  Que.    http://www.teachertube.com/video/pemdas-­‐rap-­‐79967.    We  will  take  notes  using  the  “Stop  and  Jot,”  strategy  in  order  to  stop  the  video  and  write  notes  in  their  Math  Journal.  Students  will  have  several  opportunities  while  watching  the  video.    Students  will  need  notes  later  when  sharing  with  classmates.    

Negotiating  Sentence  Starters    

   

Prompt  Starters  Can  you  explain  why  you…?  Can  you  clarify  where  you…?  How  does  the  sample  problem  help  us?  How  did  you  get  this  answer?  How  is  that  evidence  stronger  than  this    evidence?  

   

Response  Starters  If  we  ____,  then  we  need  to____  because…  In  math,  we  always  need  to  …  We  can’t  do  that  because  it…  That  is  a  valid  point,  but…  Even  though  it  seems  that…    

Practice   Students  will  engage  in  the  “Musical  Shares,”  protocol  in  order  to  converse  with  a  partner  while  practicing  the  language  of  the  skill  in  order  to  FORTIFY  and  NEGOTIATE.    Using  the  Musical  Shares  protocol,  students  will  circulate/dance  around  to  the  music  until  it  stops.    Once  it  stops,  they  will  partner  up  with  the  person  closest  to  them  and  respond  to  the  prompt:    What  evidence  can  you  provide  from  the  video  which  supports  your  reasoning  in  terms  of  Order  of  

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12  Academic  English  Mastery  Program  

Operations?    (Repeat  the  musical  shares  rotation  3  times-­‐  each  time  instructing  the  students  to  use  their  notes  less  and  less.    By  the  last  share,  students  should  NOT  use  their  notes.)    Say:  You  are  going  to  make  a  “Silent  Appointment”  with  a  partner  from  a  different  group.    Make  eye  contact.  Cross  your  arms  over  your  chest  when  you’ve  identified  your  partner.    Move  quietly  to  your  partner  and  form  a  “house”.  (This  is  done  by  each  student  connecting  their  palms  in  the  air).    Once  with  your  partner  share  your  solution  and  justify  your  answer.    Explain  why  your  answer  is  reasonable.        Teacher:  Converse  with  your  partner.  Answer  the  following  prompt:  My  solution  is?  Explain  why.    Be  sure  to  use  the  Prompt  Starters  and  Response  Starters  from  NEGOTIATE  during  your  discourse.    After  2  minutes,  bring  the  students  back  to  share.        Use  a  Culturally  Responsive  Call  and  Response  to  prompt  students’  transition  back  to  their  seats.      Teacher:  When  I  move  you  move…  Students:  Just  like  that  (Repeat  3-­‐5  times)      Use  Pick  A  Stick  to  select  students  who  will  share  their  solutions  and  justify  why  their  answer  is  reasonable.      Teacher  shares  that  the  correct  answer  is  58  and  explains  how  the  answer  was  derived.    Teacher  also  entertains  any  questions  or  comments  students  may  have  around  this  solution.    

Wrap  -­‐Up   Say:     Today,   we   participated   in   constructive   conversations   using   the   skills   FORTIFY   and  NEGOTIATE.    We  shared  our  responses  and  thoughts  around  the  Facebook  problem.  We  used  our   conversation   norms   to   remind   us   to   listen   respectfully   and   use   the   language   of   the   skill  when  speaking.    Tomorrow  we  will  engage  in  our  culminating  activity!      

 

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6th Grade    

13  Academic  English  Mastery  Program  

    DAY  3  California  State  Standards  

CSS  6EE.2c.  Perform  arithmetic  operations,  including  those  involving  whole-­‐number  exponents,  in  the  conventional  order  when  there  are  no  parentheses  to  specify  a  particular  order  (Order  of  Operations).      CCSS  Mathematical  Practice  3  Construct  viable  arguments  and  critique  the  arguments  of  others.    CCSS  Speaking  and  Listening  6.1  Engage  effectively  in  a  range  of  collaborative  discussions  (one-­‐on-­‐one,  in  groups,  and  teacher-­‐led)  with  diverse  partners  on  grade  6  topics,  texts,  and  issues,  building  on  others’  ideas  and  expressing  their  own  clearly.    

CLR  Objectives  

Students  will  be  able  to  use  Standard  English  in  Mathematics  to  produce  complex  oral  output  using  all  four  conversation  skills:  CREATE,  CALRIFY,  FORTIFY  and  NEGOTIATE  to  interact  and  communicate  their  ideas  with  others.      

Depth  of  Knowledge  Levels  

DOK1:    Brainstorm  ideas,  concepts,  problems,  or  perspectives  related  to  a  topic  or                                concept.      DOK  1:  Recall,  locate  basic  details  DOK  2:  Give  examples  DOK  3:  Support  ideas  with  details  and  examples  DOK  3:  Explain  ideas  using  supporting  evidence  DOK  3:  Justify  or  critique  conclusions  drawn    DOK  4:  Analyze  discourse  styles    

Essential  Question  

 What  makes  an  answer  reasonable?  

Access  Strategies  

 Making  Cultural  Connections    Contrastive  Analysis    Cooperative  and  Communal  Learning  Environments    Instructional  Conversations    Academic  Language  Development    Advanced  Graphic  Organizers  

 Protocols   • Ink-­‐Think-­‐Pair-­‐Share  

• Call  and  Response  

Materials   • Geometric  Pattern  Blocks  • Math  Paired  Conversation  Protocol  • Math  Journal  • Conversation  Analysis  Tool  (CAT)  • Culminating  Task  Handout  

 Key  Vocabulary  

• Review  Vocabulary  from  Days  1  and  2  

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14  Academic  English  Mastery  Program  

Resources   • Same  as  Days  1  and  2  • https://www.youtube.com/watch?v=4xsyXu9J8CA#t=108  

Opening     Say:    Yesterday  we  practiced  more  of  the  Conversation  Norms  and  Skills.    Today,  you  will  use  all  four  skills  during  our  culminating  activity.  While  working  cooperatively  remember  to  take  turns  and  build  on  each  other’s  ideas.      In  order  to  learn  from  each  other,  we  have  to  share  our  best  thinking  and  listen  carefully  so  we  can  add  supporting  evidence.    Taking  turns  is  everyone’s  responsibility.    Remember,  the  goal  of  constructive  conversations  is  to  learn  from  each  other.    

Model/Guide    

Say:    Today  we  will  review  the  order  of  operations.    Please  watch  the  following  video  be  prepared  to  Ink-­‐Think-­‐Pair-­‐Share  your  thoughts  around  this  video  with  your  elbow  partner.      Project  the  following  video  https://www.youtube.com/watch?v=4xsyXu9J8CA#t=108  as  a  review.    Demonstration  The  teacher  will  select  three  students  to  model  the  use  of  the  four  Conversation  Skills.    MODEL  Student  A:    What  do  you  think  about  the  order  of  operations?  (Create)  Student  B:    I  noticed  there  is  a  pattern  using  PEMDAS.  (Create)    Does  that  make  sense?                                              (Clarify)  Student  C:    In  other  words,  you  are  saying  that  the  order  of  operations  can  be  better                                              explained  by  using  P-­‐  parenthesis,  E-­‐exponents,  etc.  in  a  specific  order.                                                (Clarify)    Can  you  give  an  example  from  the  video?  (Fortify)  Student  A:    In  the  video  it  said  to  solve  the  expression  from  left  to  right.  (Fortify)    What                                              is  your  opinion?  (Negotiate)  Student  B:    Even  though  we  must  solve  the  expression  from  left  to  right,  we  must  be                                              sure  to  do  so  only  when  dividing  and  multiplying  or  adding  and  subtracting.                                              (Negotiate)  Student  C:    That  is  a  valid  point,  but  I  have  to  remember  to  do  that  when  solving                                                numerical  expression.    

Practice    

Introduce  the  culminating  task.    Prompt:  Create  a  numerical  expression  for  your  classmates  to  solve  while  using  geometric  pattern  blocks.                                                                                                                                    Say:  In  pairs  you  will  randomly  select  a  handful  of  geometric  figures.    Please  feel  free  to  use  as  many  figures  you  and  your  partner  decide.  While  completing  section  1  of  the  assignment,  be  sure  to  use  the  prompt  and  response  starters  from  CREATE  and  CLARIFY  during  your  conversation  with  your  partner.    I  will  be  walking  around  the  room  observing  your  use  of  the  conversation  skills  and  norms  and  collecting  data  as  a  form  of  assessment.    I  will  provide  feedback  during  our  student/teacher  conference.              

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6th Grade    

15  Academic  English  Mastery  Program  

                 

 Say:  Assign  a  numerical  value  to  each  figure  you  will  include  in  your  expression.    If  the  figure  appears  more  than  once  in  your  expression,  please  be  sure  to  assign  the  same  value.    For  example,  if  the  triangle  represents  the  value  3.    If  you  have  three  triangles  in  your  expression,  each  triangle  must  represent  the  number  3.    In  addition,  your  numerical  expression  must  include  parenthesis,  an  exponent,  and  all  operational  symbols.    Once  you  have  arranged  your  numerical  expression  in  model  form,  recreate  your  expression  on  your  handout  using  the  appropriate  corresponding  colors  for  each  figure  selected.    Be  sure  to  include  a  legend,  which  outlines  the  values  for  each  geometric  figure  used.    Lastly,  on  a  separate  sheet  of  paper  justify  the  answer  to  your  expression.    Show  all  necessary  steps.                        Use  a  call  and  response  to  transition  students  into  groups  of  four.    Say:  I  like  to  move  it,  move  it!    Students:  Move  it!  (Repeat  5  times  in  order  to  give  students  enough  time  to  transition.)  (When  every  group  is  formed,  proceed.)      Say:    Once  your  handout  is  completed  you  will  now  in  teams  of  four  exchange  expressions  for  each  other  to  solve.    Once  time  has  ended,  engage  in  a  conversation  with  your  team  around  the  solutions  using  prompt  and  response  starters  from  FORTIFY  and  NEGOTIATE.      Say:  We  will  use  our  Math  Paired  Conversation  Protocol  to  assist  with  the  conversation  around  our  expressions  we  created  in  pairs.        Say:  This  Math  Paired  Conversation  Protocol  will  allow  you  to  paraphrase  and  clarify  the  problem  for  one  another,  estimate  the  answer,  discuss  the  drawing  of  the  expression,  discuss  (argue)  which  method  you  would  recommend  for  problems  like  this,  discuss  connections  between  the  two  methods,  collectively  generate  a  final  summary  for  how  to  solve  problems  like  this  and  finally  co-­‐create  a  similar  problem  to  share  with  others.      

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6th Grade    

16  Academic  English  Mastery  Program  

Wrap  Up   Say:  Think  about  the  new  learning  you  gained  from  today’s  lesson.  Pair  with  a  Partner  and  Share,  how  the  Conversation  Skills  and  Norms  have  helped  you  communicate  more  effectively  in  class.  

 FORMATIVE  ASSESSMENT    

Conversation  Analysis  Tool  (CAT)    The  teacher  provides  a  score  of  4  –  3  –  2  –  1  to  rate  the  progress  of  student  conversations  for  each  dimension  using  the  Conversation  Analysis  Tool.  

             

   Assessment   I.    Students  are  scored  by  their  participation  and  progress  in  Constructive  Conversations    

       that  provide  examples  of  the  four  Conversation  Skills  (Create,  Clarify,  Fortify,  and                    Negotiate).    II.  Students  model  proficient  use  of  the  five  Conversation  Norms.    

1. Use  your  think  time  2. Use  the  language  of  the  skill  3. Use  your  conversation  voice  4. Listen  Respectfully  5. Take  turns  and  build  on  each  other’s  ideas  

   

 

Dimension  1:    Turns  build  on  previous  turns  to  build  up  an  idea.  

Dimension  2:    Turns  focus  on  the  knowledge  or  skills  based  on  the  lesson’s  objectives.