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Module 3 Unit 3 Notes

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									                                           November 30, 2012




         Welcome to Class!

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PROBLEM OF THE WEEK!
November 30, 2012
                                                                                                                                                                                                                                                                                                                                                                                                               November 30, 2012


6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  1	
  Notes

Example	
  1:	
  	
  Plot	
  these	
  numbers	
  on	
  a	
  number	
  line.




Example	
  2:	
  	
  List	
  those	
  numbers	
  in	
  order	
  from	
  least	
  to	
  greatest.




	
  	
  	
  	
  	
  	
  	
  NEGATIVE	
  #’s                                                                                                                                                                                                                                                                                                                                      POSITIVE	
  
#’s
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  (small)                                                                                                                                                                                                                                                                                                                            	
  	
  	
  	
  	
  	
  (big)

Integers-­‐	
  set	
  of	
  posiJve	
  whole	
  numbers	
  and	
  _______________________	
  whole	
  
numbers.



Example	
  3:	
  	
  Plot	
  these	
  numbers	
  on	
  the	
  number	
  line.	
  	
  Then	
  order	
  them	
  from	
  
least	
  to	
  greatest.




When	
  comparing	
  numbers	
  we	
  use	
  INEQUALITY	
  signs:
<	
  	
  	
  	
  less	
  than                                 >	
  	
  	
  	
  	
  greater	
  than

≤	
  	
  	
  	
  less	
  than	
  or	
  equal	
  to                                                                                                                                                                                                                                                             ≥	
  	
  
greater	
  than	
  or	
  equal	
  to
Example	
  4:	
  	
  Compare	
  these	
  integers.	
  	
  Use	
  <	
  or	
  >.
a)                      2	
  	
  	
  	
  	
  	
  -­‐2




b)                    -­‐10	
  	
  	
  	
  	
  	
  -­‐7




c)                   7	
  	
  	
  	
  	
  	
  	
  	
  5




d)                   4	
  	
  	
  	
  	
  	
  	
  -­‐4




e)                    -­‐15	
  	
  	
  	
  	
  	
  	
  	
  -­‐9




Example	
  5:	
  	
  Compare	
  these	
  fracJons.	
  	
  Write	
  <	
  or	
  >.


a)                                                                	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  c)	
  	
  	
  




b)




Example	
  6:	
  	
  Compare	
  these	
  decimals.	
  	
  Write	
  <	
  or	
  >.
                                                        November 30, 2012




               Welcome to Class!

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Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!
                                                                                                                           November 30, 2012


6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  2	
  Notes

PosiIve	
  Numbers-­‐	
  numbers	
  to	
  the	
  ________________	
  of	
  zero	
  on	
  the	
  number	
  
line



NegaIve	
  Numbers-­‐	
  numbers	
  to	
  the	
  _________________of	
  zero	
  on	
  the	
  number	
  
line



Zero-­‐	
  is	
  ________________negaJve	
  OR	
  posiJve



Opposites-­‐	
  two	
  numbers	
  the	
  same	
  distance	
  from	
  0	
  but	
  
on_______________________sides	
  of	
  0.



Example	
  1:	
  	
  Name	
  a	
  posiJve	
  or	
  negaJve	
  number	
  to	
  represent	
  each	
  situaJon
a)    A	
  gain	
  of	
  20	
  yards	
  in	
  football



b)          Spending	
  $75



c)          10	
  feet	
  below	
  sea	
  level



d)          Withdraw	
  $45



e)          Deposit	
  $100




Example	
  2:	
  	
  Graph	
  each	
  integer	
  and	
  its	
  opposite	
  on	
  a	
  number	
  line.
a)    -­‐4




b)          3




c)          0




Absolute	
  Value-­‐	
  an	
  integer’s	
  distance	
  from	
  ______________________


           **	
  	
  absolute	
  value	
  is	
  ALWAYS	
  posiJve	
  J	
  **

           **	
  opposite	
  integers	
  have	
  the	
  SAME	
  absolute	
  value	
  **


           **	
  

Example	
  3:	
  	
  	
  Use	
  the	
  number	
  line	
  to	
  find	
  the	
  absolute	
  value	
  of	
  each	
  integer.


a)




b)




c)




Example	
  4:	
  	
  Order	
  these	
  numbers	
  from	
  least	
  to	
  greatest.




a)




b)
                                                        November 30, 2012




            Welcome to Class!
Write the assignment down in your agenda

Put your homework on the top left corner of your desk

Come see me to pass back papers

PROBLEM OF THE WEEK!
                                                                                                                              November 30, 2012


6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  3	
  Notes

Opposite-­‐	
  two	
  numbers	
  the	
  same	
  distance	
  from	
  0	
  but	
  on	
  ____________________sides	
  of	
  0.
•      Also	
  known	
  as	
  ADDITIVE	
  INVERSE

Absolute	
  value-­‐	
  an	
  integer’s	
  distance	
  from	
  ____________________

Example	
  1:	
  	
  List	
  the	
  opposites	
  to	
  each	
  number.

        a) -1                                                                          b) -8



                                                                                       d) 11
        c) 15



         e) 90



Example	
  2:	
  	
  Find	
  the	
  absolute	
  value	
  of	
  each	
  number.

         a)
                                                                                 d)




         b)                                                                      e)




         c)



Example	
  3:	
  	
  Find	
  the	
  absolute	
  value.	
  


 a)
                                                                                 d)




  b)                                                                             e)




  c)                                                                              f)
                                                        November 30, 2012




             Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Pass back papers

PROBLEM OF THE WEEK!
                                                                                                                                                                   November 30, 2012




6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  4	
  Notes

Example	
  1:	
  	
  Order	
  these	
  numbers	
  from	
  least	
  to	
  greatest




  Example	
  2:	
  	
  The	
  following	
  temperatures	
  were	
  recorded	
  during	
  a	
  science	
  
  project:	
  	
                                                     	
  	
  Order	
  the	
  temperatures	
  from	
  least	
  to	
  
  greatest.




 Example	
  3:	
  	
  Here	
  is	
  part	
  of	
  Mr.	
  Lostcash’s	
  checkbook	
  register.	
  	
  Order	
  his	
  balances	
  from	
  greatest	
  to	
  least



              Description                     Debits (-)                         Credits (+)                         Balance
              Paycheck                                                           122.18                              122.18
              Sneakers                        95.00                                                                  27.18
              Two outfits                     68.09                                                                  -40.91
              Paycheck                                                           122.18                              81.27
              Insufficient
                                              25.00                                                                  56.27
              funds fee
              Three CDs                       59.97                                                                  -3.70
                                                        November 30, 2012




-
                 Welcome to Class!
    Write down the assignment in your agenda

    Put your homework on the top left corner of your desk

    Get a blue math book

    PROBLEM OF THE WEEK!
                                                                                                                                                                          November 30, 2012


         6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  5	
  Notes

         Coordinate	
  Plane-­‐	
  plane	
  containing	
  a	
  horizontal	
  line	
  and	
  a	
  ___________________________line.

         x-­‐axis-­‐	
  the	
  _____________________________line

         y-­‐axis-­‐	
  the	
  _____________________________line

         Origin-­‐	
  intersecJon	
  of	
  the	
  two	
  axes	
  (______________________	
  point)

         Quadrant-­‐	
  the	
  ______________regions	
  divided	
  by	
  the	
  x-­‐	
  and	
  y-­‐axis

         Ordered	
  pair-­‐	
  a	
  pair	
  of	
  numbers	
  used	
  to	
  locate	
  a	
  	
  ___________________	
  	
  

                         (x,	
  y)	
  	
  	
  	
   *	
  The	
  x	
  value	
  represents	
  how	
  far	
  you	
  moved	
  lei	
  or	
  ____________from	
  the	
  origin


                                      *The	
  y	
  value	
  represents	
  how	
  far	
  you	
  moved	
  up	
  or	
  _____________from	
  the	
  origin




                                     ALWAYS	
  plot	
  the	
  x-­‐coordinate	
  first,	
  then	
  plot	
  the	
  y-­‐coordinate.	
  	
  
   Example	
  1:	
  	
  IdenJfy	
  the	
  quadrant	
  that	
  contains	
  each	
  point	
  and	
  the	
  ordered	
  pair.

   a)           P



   b)           Q



   c)           R




Example	
  2:	
  	
  Plot	
  each	
  point	
  on	
  a	
  coordinate	
  plane	
  then	
  state	
  the	
  quadrant	
  it	
  is	
  in.




      Example	
  3:	
  	
  Give	
  the	
  coordinates	
  of	
  each	
  point



                    a)           J




                    b)           K




                    c)            L
                                                        November 30, 2012




               Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

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PROBLEM OF THE WEEK!
                                                                                                                                               November 30, 2012



    6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  6	
  Notes

     Example	
  1:	
  	
  	
  Plot	
  these	
  points	
  on	
  the	
  coordinate	
  plane	
  and	
  idenJfy	
  the	
  locaJon

         a)           A	
  (2,	
  3)

         b)           B	
  (0,	
  0)

        c)           C	
  (-­‐2,	
  0)
         d)           D	
  (-­‐1,	
  -­‐4)

        e)           E	
  (-­‐1,	
  -­‐3)
         f)           F	
  (3,	
  -­‐4)

       g)           G	
  (0,	
  2)




Example	
  2:	
  	
  Find	
  the	
  length,	
  width,	
  and	
  area	
  of	
  rectangle	
  ABCD	
  shown.




 Example	
  3:	
  	
  Turn	
  in	
  your	
  books	
  to	
  page	
  295	
  Example	
  4.	
  	
  

 Make	
  a	
  general	
  conclusion	
  of	
  what	
  you	
  think	
  is	
  happening	
  with	
  this	
  data	
  in	
  the	
  scaoer	
  plot.
                                                        November 30, 2012




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Write down the assignment in your agenda

Get an ISTEP packet

Put your homework on the top left corner of your desk

Pass back papers

PROBLEM OF THE WEEK!
November 30, 2012
November 30, 2012
                                                        November 30, 2012




           Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Pass back papers

ISTEP Packet

PROBLEM OF THE WEEK!
                                                                                                                                          November 30, 2012


6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  8	
  Notes


     ScienIfic	
  NotaIon-­‐	
  number	
  wrioen	
  in	
  the	
  form	
  


               **C	
  	
  	
  	
  has	
  to	
  be	
  between	
  1	
  and	
  10

               **	
  NoJce-­‐the	
  number	
  of	
  zeros	
  is	
  the	
  exponent
              **	
  NoJce-­‐	
  however	
  many	
  zeros	
  there,	
  move	
  decimal
                                   that	
  many	
  Jmes


            Standard Form                                                Product Form                               Scientific Notation

            2, 860, 000                                                  2.86 × 1,000,000
            110,000                                                      1.1 × 100,000

            38,520,000
                                                                         5.5 × 100




      Example	
  1:	
  	
  Write	
  the	
  number	
  in	
  scienJfic	
  notaJon.


               a)	
  	
  	
  	
  	
  	
  	
  450,000                                 b)	
  	
  	
  	
  10,000,000




                c)	
  	
  6,310,000




     Example	
  2:	
  	
  Write	
  the	
  number	
  in	
  standard	
  form.




    Example	
  3:	
  	
  Copy	
  and	
  complete	
  the	
  statement	
  using	
                                     .


    a)




    a)
                                                        November 30, 2012




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Write down the assignment in your agenda

Put your homework on the top left corner of your desk

ISTEP Packet

Pass back papers

PROBLEM OF THE WEEK!
                                                                                                                                                                                                                                                                                              November 30, 2012

         6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  9	
  Notes

         Notes:	
  	
  Customary	
  System	
  of	
  Measurement

         A	
  pound	
  (lb)	
  	
  is	
  a	
  unit	
  of	
  ____________	
  in	
  the	
  _______________	
  system	
  of	
  measures.

         A	
  pound	
  is	
  made	
  up	
  of	
  ______	
  smaller	
  customary	
  units	
  of	
  weight	
  called	
  ___________(oz).

         A	
  ton	
  (T)	
  is	
  a	
  customary	
  unit	
  of	
  weight	
  that	
  is	
  equal	
  to	
  ________	
  pounds.

         A	
  cup	
  (c)	
  is	
  a	
  unit	
  of	
  ______________	
  in	
  the	
  customary	
  system	
  of	
  measures	
  that	
  is	
  equal	
  to	
  _____	
  fluid	
  ounces	
  (fl.	
  oz.).

         A	
  pint	
  (pt.)	
  is	
  a	
  customary	
  unit	
  of	
  _____________	
  which	
  is	
  equal	
  to	
  ______cups.

         A	
  quart	
  (qt.)	
  is	
  a	
  customary	
  unit	
  of	
  capacity	
  which	
  is	
  equal	
  to	
  2	
  _________.

         A	
  gallon	
  (gal.)	
  is	
  a	
  customary	
  unit	
  of	
  capacity	
  equal	
  to	
  _____	
  quarts.



                                                                                                                                                        Metric                                                                                                                Customary

                                   Length                                                                                                               Grams

                                   Weight                                                                                                               Liters

                                   Capacity                                                                                                             Meters



                                                                                                                                      Customary Units
                                                           Length                                                                     1 ft = 12 in1 yd = 3 ft1 mi = 5,280 ft
                                                           Weight                                                                     1 lb = 16 ozI T = 2,000 lbs
                                                           Capacity                                                                   I c = 8 fl oz1 pt = 2 c1 qt = 2 pt1 gal = 4 qt


                   Example	
  A:	
  	
  	
  Larger	
  units	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  smaller	
  units


               1.)                        2	
  mi	
  =	
  _______	
  i.                                                                                                                                                                  2.)	
  	
  	
  5	
  pt.	
  =	
  ___________c




     	
  	
  	
  	
  	
  	
  	
  3.	
  )	
  	
  	
  3	
  ½	
  lb	
  =	
  __________oz.




              Your	
  turn:
              a.)       8	
  yd	
  =	
  __________i.                                                                                                                                                                                      b.)	
  	
  3	
  gal.	
  =	
  ____________pt.




              c.)                        	
  1	
  ½	
  c	
  =	
  ___________fl.	
  oz.




             Example	
  B:	
  	
  smaller	
  units	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  larger	
  units
             1.)   	
  1,000	
  in	
  =	
  ___________	
  i.                                                                                                                                                                                3.)	
  	
  750	
  lb	
  =	
  _____________T




               2.)                         10	
  c	
  =	
  __________pt.




           Your	
  turn:
           a.)       42	
  i.	
  =	
  ___________yd.                                                                                                                                                                                    b.)	
  	
  32	
  c	
  =	
  _____________pt.




	
  	
  	
  	
  	
  	
  	
  	
  c.)	
  	
  	
  	
  100	
  oz.	
  =	
  ___________lb.




              Larger	
  units	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  smaller	
  units	
  	
  	
  	
  	
  	
  	
  	
  -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐___________________________


              Smaller	
  units	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  larger	
  units	
  	
  	
  	
  	
  ___________________________
                                                        November 30, 2012




                Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Pass back papers

Get ISTEP packet & blue math book

PROBLEM OF THE WEEK!
                                                                                                                                                               November 30, 2012

   6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  10	
  Notes

   METRIC	
  SYSTEM



           Prefix                  Meaning in words                          Meaning in numbers

           kilo-                   Thousands

           Centi-                  Hundredths

           Milli-                  Thousandths


        Meter	
  (m):	
  	
  base	
  unit	
  of	
  ______________

        Gram	
  (g):	
  	
  measures	
  _______________

        Liter	
  (L):	
  	
  measures	
  __________________




    Length:

    Kilometer	
                 hectometer               decameter        meter 	
  	
  	
  decimeter               cenJmeter                     millimeter


    Larger	
  unit                                                                                                                   smaller	
  unit




 METER:

 Kilometer                                         meter                             cenJmeter                                                  millimeter
 	
  	
  	
  	
  km                           	
  	
  	
  m                   	
  	
  	
  	
  cm                                   	
  	
  	
  	
  	
  mm




 Examples:
 1.)   	
  4.5	
  m	
  =________	
  cm                                           2.)	
  	
  	
  2,600	
  m	
  =	
  _______	
  km




   Your	
  turn:
             28	
  cm	
  =	
  ________	
  mm                                        438	
  cm	
  =	
  _________m



 Mass:

 Kilogram                     hectogram          decagram              gram          decigram                   cenJgram                    milligram



 Larger	
  unit                                                                                                                    smaller	
  unit




 GRAM:



 Kilogram                                         gram                              milligram
 	
  	
  	
  	
  	
  kg                       	
  	
  	
  g                   	
  	
  	
  	
  	
  mg




  Examples:
  3.)   8.43	
  kg	
  =	
  _______g                                                4.)	
  	
  500	
  mg	
  =	
  ________g




    Your	
  turn:
              23.5	
  g	
  =	
  _________mg                                          9,014	
  g	
  =	
  __________kg




	
  Capacity:

Kiloliter                    hectoliter        decaliter             liter      	
  	
  deciliter           cenJliter                   milliliter


Larger	
  unit                                                                                                                 smaller	
  unit




    LITER:


    Kiloliter                                      liter                            milliliter
    	
  	
  	
  	
  kL	
                        	
  	
  	
  	
  L               	
  	
  	
  	
  mL



   Examples:
   3.2	
  L	
  =	
  _________mL	
                                      6.)	
  	
  1,640	
  L	
  =	
  ______kL




Your	
  turn:
          0.75	
  kL	
  =	
  ________L                                         8,800	
  mL	
  =	
  ________L
                                                        November 30, 2012




             Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

Get a blue math book, calculator, and reference sheet

PROBLEM OF THE WEEK!
                                                                                                                                                                                                                                          November 30, 2012



 6th	
  Grade	
  Module	
  5	
  Unit	
  1	
  Day	
  11	
  Notes

 Examples:	
  	
  	
  Convert	
  units	
  to	
  solve	
  a	
  problem:
 1.)   	
  Speed	
  skiing	
  takes	
  place	
  on	
  a	
  course	
  that	
  is	
  about	
  two	
  thirds	
  of	
  a	
  mile	
  long.	
  	
  How	
  many	
  feet	
  long	
  is	
  the	
  course?




2.)    The	
  elevator	
  in	
  an	
  office	
  building	
  has	
  a	
  weight	
  limit	
  posted	
  of	
  one	
  and	
  a	
  half	
  tons.	
  	
  How	
  many	
  pounds	
  can	
  the	
  
elevator	
  safely	
  hold?




    3.)       	
  Liquid	
  products	
  such	
  as	
  oil	
  and	
  vinegar	
  were	
  once	
  shipped	
  in	
  huge	
  containers	
  called	
  hogsheads.	
  	
  
    A	
  hogshead	
  contained	
  63	
  gallons	
  of	
  liquid.	
  	
  How	
  many	
  quarts	
  did	
  it	
  contain?




Your	
  turn:
a.)       	
  The	
  label	
  on	
  a	
  bag	
  of	
  potatoes	
  states	
  that	
  the	
  bag	
  contains	
  3	
  ¾	
  pounds	
  of	
  potatoes.	
  	
  How	
  many	
  ounces	
  of	
  potatoes	
  does	
  the	
  bag	
  
hold?




   Examples:	
  	
  
   	
  	
  	
  	
  	
  	
  	
  4)	
  	
  One	
  type	
  of	
  wakeboard	
  weighs	
  7	
  pounds	
  6	
  ounces.	
  	
  Another	
  type	
  of	
  wakeboard	
  weighs	
  6	
  pounds	
  14	
  ounces.	
  	
  
                                                   a)	
  	
  Find	
  the	
  sum	
  of	
  the	
  weights




                                                                              b)	
  Find	
  the	
  difference	
  of	
  the	
  weights




    	
  	
  	
  	
  	
  	
  	
  5)	
  	
  Convert	
  26	
  fluid	
  ounces	
  to	
  cups	
  and	
  fluid	
  ounces.




    	
  	
  	
  	
  	
  	
  	
  6)	
  	
  	
  Find	
  the	
  sum.                                                                         7)	
  	
  	
  Find	
  the	
  difference.
                                                                                             3	
  c	
  	
  5	
  fl	
  oz                                                              10	
  	
  i	
  	
  3	
  	
  in
                                              	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  +	
  	
  8	
  c	
  	
  6	
  fl	
  oz              	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  -­‐	
  	
  	
  	
  4	
  	
  i	
  	
  	
  9	
  	
  in
                                                                                                       November 30, 2012




                          6th Grade Module 5 Unit 1 Test


Metric	
  System:



Kilo_____	
  	
  	
  hecto____ deca____	
  	
  meter	
  	
  	
  	
  	
  deci___	
  	
  	
  cenJ____ 	
  	
  milli____
                                 	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
                                                                   	
  	
  	
  	
  gram
                                 	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  liter


Larger	
  unit                                                                         smaller	
  unit
                                                             November 30, 2012




             Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Pass back papers- if you want your picture hung up, let me know!

Get ISTEP Packet, ISTEP Reference Sheet, & Calculator
                                 REMIND ME TO TALK ABOUT FIRE DRILL
PROBLEM OF THE WEEK!
November 30, 2012
November 30, 2012
                                                        November 30, 2012




               Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

Let me know if you would like to re-take any quiz

PROBLEM OF THE WEEK!
                                                        November 30, 2012




               Welcome to Class!
Write down the assignment in your agenda

Turn in any missing assignments
                                       GOOD LUCK

Pass back papers

Get a calulator, ISTEP Reference Sheet, and Metric Conversion Sheet

PROBLEM OF THE WEEK!

								
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