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NUMBER	
  SENSE	
  
LESSON	
  5:	
  POSITIVE	
  &	
  NEGATIVE	
  
NUMBERS	
  
Algebra	
  Lab	
  Module	
  1	
  
-­‐-­‐-­‐-­‐-­‐-­‐	
  




                                                    -­‐-­‐-­‐-­‐-­‐-­‐	
  
                                  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                                                                                                                                          1


Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
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                                                                                          2

Small-scale Performance                                                                                          2
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
Descrip:on	
  

                                                                	
  
                                                                You	
  will	
  review	
  the	
  previous	
  
                                                                lessons	
  and	
  then	
  begin	
  to	
  
                                                                think	
  about	
  p
                                                                                    	
  osi:ve	
  and	
  
                                                                nega:ve	
  integers.	
  




Launch!                                                                                                          3

Launch!!!                                                                                                        5
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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. 5.006




Launch Review!                                                                                                   4

Launch!!!                                                                                                        5
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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!                                                                                                          5

Launch!!!                                                                                                        5
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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                                                                                                6

Launch!!!                                                                                                                 5
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
READ, LOOK UP, DISCUSS
1. 	
  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                                                                                                                                                                                                                 7

Note taking: Steps                                                                                                                                                                                                                                 9
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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                                                                                                      8


Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Descrip:on	
  


               You will connect principles of positive and
               negative integers to real life scenarios.




Investigation                                                                                                    9

 Investigation                                                                                                   11
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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

                                                                                                                10
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  LLesson	
  2:	
  Rounding	
   Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / 	
   esson	
  5:	
  Posi:ve	
  and	
  
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                                                                                             11


Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
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                                                                                                                                                12

Note taking: Steps                                                                                                                                              9
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
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                                                                                                    13

Note taking: Metacognition                                                                                       10
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
Descrip:on	
  


               You will practice adding and subtracting
               positive and negative integers.




Synthesis                                                                                                        14

Investigation                                                                                                    11
Algebra	
  Lab	
  Module	
  1	
  	
  /	
  	
  	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
Algebra	
  Lab	
  Module	
  1 / Lesson	
  2:	
  Rounding	
  
PRACTICE

a)  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
                                                                                                                                                                                                                                  15
Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
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                                                                                        16


Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  
REFLECTION ON THE MATH

Your	
  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
                                                                                                                                                17
Algebra	
  Lab	
  Module	
  1	
  /	
  	
  Lesson	
  5:	
  Posi:ve	
  and	
  Nega:ve	
  Numbers	
  

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Algebra lab.module1.lesson5.posandneg

  • 1. NUMBER  SENSE   LESSON  5:  POSITIVE  &  NEGATIVE   NUMBERS   Algebra  Lab  Module  1  
  • 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 1 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  • 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 2 Small-scale Performance 2 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 4. Descrip:on     You  will  review  the  previous   lessons  and  then  begin  to   think  about  p  osi:ve  and   nega:ve  integers.   Launch! 3 Launch!!! 5 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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. 5.006 Launch Review! 4 Launch!!! 5 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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! 5 Launch!!! 5 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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 6 Launch!!! 5 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 8. READ, LOOK UP, DISCUSS 1.  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 7 Note taking: Steps 9 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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 8 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  • 10. Descrip:on   You will connect principles of positive and negative integers to real life scenarios. Investigation 9 Investigation 11 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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 10 Algebra  Lab  Module  1    /    LLesson  2:  Rounding   Nega:ve  Numbers   Algebra  Lab  Module  1 /   esson  5:  Posi:ve  and  
  • 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 11 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  • 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 12 Note taking: Steps 9 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 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 13 Note taking: Metacognition 10 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 15. Descrip:on   You will practice adding and subtracting positive and negative integers. Synthesis 14 Investigation 11 Algebra  Lab  Module  1    /        Lesson  5:  Posi:ve  and  Nega:ve  Numbers   Algebra  Lab  Module  1 / Lesson  2:  Rounding  
  • 16. PRACTICE a)  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 15 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  • 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 16 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers  
  • 18. REFLECTION ON THE MATH Your  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 17 Algebra  Lab  Module  1  /    Lesson  5:  Posi:ve  and  Nega:ve  Numbers