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NUMBER	  SENSE	  LESSON	  5:	  POSITIVE	  &	  NEGATIVE	  NUMBERS	  Algebra	  Lab	  Module	  1	  
-­‐-­‐-­‐-­‐-­‐-­‐	                                                      -­‐-­‐-­‐-­‐-­‐-­‐	                              ...
Pos:ve	  and	  Nega:ve	  Number	  Synthesis	          You	  will	  reflect	  on	  whether	  or	  not	  it	  is	          va...
Descrip:on	                                                                  	                                            ...
Launch	  Review!	           Answer the following review questions in your Springnotes.         1.  What place is the seven...
Launch!	           1. If you borrowed six dollars from Steve for some pizza, two dollars         from Angelo for a soda, a...
Descrip:on	                                                                      	                                        ...
READ, LOOK UP, DISCUSS1. 	  In	  your	  group,	  look	  at	  and	  read	  your	                                           ...
How	  can	  knowing	  	                             How	  are	  words	                  word	  parts	  help	  us	         ...
Descrip:on	                 You will connect principles of positive and               negative integers to real life scena...
WATCH & DESCRIBE                                        1.  You	  will	  now	  watch	  two	  videos	  rela:ng	  to	       ...
Descrip:on	          You	  will	  explore	  the	  effect	  nega:ve	  numbers	          have	  on	  problems,	  as	  well	  ...
MOCK BATTLE                                                              -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-...
METACOGNITIVE QUESTION         How	  does	  this	  ac:vity	  help	           you	  "visualize"	  combining	             po...
Descrip:on	                 You will practice adding and subtracting               positive and negative integers.Synthesi...
PRACTICEa)  Without	  using	  a	  calculator,	  	                                                                         ...
Did	  you	  think	  differently	  when	  you	  had	                       to	  answer	  ques:ons	  in	  words,	  as	       ...
REFLECTION ON THE MATHYour	  teacher	  will	  give	  you	  a	  link	  to	  wall	  wisher	  for	  the	  following	  ques:on...
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  1. 1. NUMBER  SENSE  LESSON  5:  POSITIVE  &  NEGATIVE  NUMBERS  Algebra  Lab  Module  1  
  2. 2. -­‐-­‐-­‐-­‐-­‐-­‐   -­‐-­‐-­‐-­‐-­‐-­‐   Launch You  will  review  previous  lessons  in  the  module  and   begin  to  think  about  posi:ve  and  nega:ve  integers.         -­‐-­‐-­‐-­‐-­‐-­‐   -­‐-­‐-­‐-­‐-­‐-­‐   Morphology You  will  learn  more  about  how  to  find  the  most   meaningful  parts  of  words.     Investigation 3 -­‐-­‐-­‐-­‐-­‐-­‐   -­‐-­‐-­‐-­‐-­‐-­‐   You will watch two videos about positive and negative Investigation integers and how they are relevant in real life. In  this  ac:vity,  you  will  get  up  out  of  your  seat  and  embody   -­‐-­‐-­‐-­‐-­‐-­‐   posi:ve  and  nega:ve  numbers.    By  playing  the  role  of   Modeling -­‐-­‐-­‐-­‐-­‐-­‐   posi:ve  or  nega:ve,  this  game  will  teach  you  how  posi:ve   and  nega:ve  numbers  affect  each  other.    In  this  ac:vity,  you  will  prac:ce  adding  and  subtrac:ng     posi:ve  and  nega:ve  numbers.    You  will  learn  other     -­‐-­‐-­‐-­‐-­‐-­‐   -­‐-­‐-­‐-­‐-­‐-­‐   Synthesis characteris:cs  of  posi:ve  and  nega:ve  numbers     through  a  true/false  ac:vity.    Lesson Activities 1Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  3. 3. Pos:ve  and  Nega:ve  Number  Synthesis   You  will  reflect  on  whether  or  not  it  is   valuable  to  manually  add  and  subtract   posi:ve  and  nega:ve  numbers,  even  when   you  have  a  calculator  within  reach.       You  are  ready  to  start  the  series  of  ac:vi:es  on     Posi:ve  and  Nega:ve  Numbers…  Small-scale Performance 2Small-scale Performance 2Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  4. 4. Descrip:on     You  will  review  the  previous   lessons  and  then  begin  to   think  about  p  osi:ve  and   nega:ve  integers.  Launch! 3Launch!!! 5Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  5. 5. Launch  Review!   Answer the following review questions in your Springnotes. 1.  What place is the seven in? 245.678 2.  Round this number to the nearest hundred. 32,990 3.  Write this number in words. 5.006Launch Review! 4Launch!!! 5Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  6. 6. Launch!   1. If you borrowed six dollars from Steve for some pizza, two dollars from Angelo for a soda, and three dollars from Michelle for a cookie, how much money will you owe in total? 2. Is there a math sign you can use to show that this is money owed, not money you actually have?Launch! 5Launch!!! 5Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  7. 7. Descrip:on     This  ac:vity  will  help  you  to   iden:fy  the  most   meaningful  parts  of  words.           This  will  deepen  your   understanding  of  a  word   and  its  related  forms.    Morphology Investigation 3 6Launch!!! 5Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  8. 8. READ, LOOK UP, DISCUSS1.  In  your  group,  look  at  and  read  your   4.  See  if  you  can  find  other  words  that   -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐   words.    Discuss  what  they  might  mean.     contain  some  of  the  same  morphemes. Think  of  everything  you  already  know       about  the  words.   5.  Figure  out  the  history  of  each  morpheme.       What  language  does  it  come  from?    Has  it  2.  Use  the  etymology,  word-­‐root   always  meant  the  same  thing?    What   dic:onaries,  and  any  other  sources  you   other  words  have  this  morpheme?     want  in  order  to  figure  out  the     morphemes  that  make  up  this  word.     6.  Discuss  how  the  morphemes  word     together  to  create  the  meaning  of  the  3.  Figure  out  what  each  morpheme  means.     word.    Can  the  morphemes  help  you   remember  how  to  spell  the  word?       7.  Present  one  of  your  words  to  the  class.    Morphology Investigation 3: Steps 7Note taking: Steps 9Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  9. 9. How  can  knowing     How  are  words   word  parts  help  us   formed  in   to  learn  new   different   words?   languages?   How  can  it  help   What  is  a   us  to  deepen  our   What  are  the   word?   understanding  of   different  parts   words  we   of  a  word?   already  knew?  Metacognition 8Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  10. 10. Descrip:on   You will connect principles of positive and negative integers to real life scenarios.Investigation 9 Investigation 11Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  11. 11. WATCH & DESCRIBE 1.  You  will  now  watch  two  videos  rela:ng  to   posi:ve    and  nega:ve  integers.       2.  When  you  are  done,  think  of  and  describe  at   least  one  addi:onal  example  of  where  you  see   nega:ve  numbers  in  your  life.     Click  on  the  links  below:  Investigation: Steps   10 10Algebra  Lab  Module  1    /    LLesson  2:  Rounding   Nega:ve  Numbers  Algebra  Lab  Module  1 /   esson  5:  Posi:ve  and  
  12. 12. Descrip:on   You  will  explore  the  effect  nega:ve  numbers   have  on  problems,  as  well  as  how  nega:ve   numbers  are  represented  in  the  real  world.  Modeling 11Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  13. 13. MOCK BATTLE -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐  1.  You  will  be  par:cipa:ng  in  the   "Ba^le  of  posi:ve  vs.  nega:ve.”  2.  Your  teacher  will  first  model  the   ac:vity  and  then  you  will  work  on   the  problems  together  as  a  whole   class  before  branching  off  to  do   individual  work.  Modeling: Steps 12Note taking: Steps 9Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  14. 14. METACOGNITIVE QUESTION How  does  this  ac:vity  help   you  "visualize"  combining   posi:ve  and  nega:ve   numbers?   What  did  you  no:ce  about   the  meaning  of  the  addi:on   symbol  and  the  subtrac:on   symbol  in  the  problems?    Metacognition 13Note taking: Metacognition 10Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  15. 15. Descrip:on   You will practice adding and subtracting positive and negative integers.Synthesis 14Investigation 11Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers  Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  16. 16. PRACTICEa)  Without  using  a  calculator,     b)  Determine  whether  each  statement  is  true  or   prac:ce  simplifying  the   false  and  explain  why.   following:   -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐   -­‐9    +    4  =   i.  The  sum  of  two  posi:ve  integers  is  always  posi:ve.       -­‐5    +    -­‐3  =   ii.  The  sum  of  two  nega:ve  integers  is  always  posi:ve.       -­‐2    +    6  =   iii.  The  sum  of  a  nega:ve  integer  and  a  posi:ve  integer  is  always     nega:ve.   -­‐2    –    4  =       iv.  The  sum  of  a  nega:ve  integer  and  a  posi:ve  integer  is  always   5    –    8  =   posi:ve.       7    –    10  =  Synthesis 15Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  17. 17. Did  you  think  differently  when  you  had   to  answer  ques:ons  in  words,  as   opposed  to  just  using  numbers  and   math  symbols?  If  so,  how?   Where  did  the  pa^erns  you  found   fit  with  the  statements  and  where   did  they  contradict  them?     +  or  -­‐  Metacognition 16Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  18. 18. REFLECTION ON THE MATHYour  teacher  will  give  you  a  link  to  wall  wisher  for  the  following  ques:ons.    Be  prepared  to  share  out  your  thoughts.  1.  Now  that  we  have  calculators  readily  accessible  to  us,  explain  why  it  is  valuable  to   know  how  to  manually  add  and  subtract  nega:ve  and  posi:ve  integers?        REFLECTION 17Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
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