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Module 4 Unit 1 Notes

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					                                           November 30, 2012




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                                                                                                                                              November 30, 2012

6th	
  Grade	
  Module	
  5	
  Unit	
  2	
  Day	
  15	
  Notes

Sequence-­‐	
  an	
  ordered	
  set	
  of	
  _______________________

Term-­‐	
  each	
  number	
  in	
  the	
  __________________________

Arithme0c	
  Sequence-­‐	
  each	
  term	
  in	
  the	
  sequence	
  changes	
  by	
  the	
  ________________amount	
  each	
  ?me.


 Example	
  1:	
  	
  Iden?fy	
  a	
  paCern	
  in	
  each	
  arithme?c	
  sequence	
  and	
  then	
  find	
  the	
  
 next	
  two	
  terms.


 a)      3, 15, 27, 39, ...                                                                           a)   12, 21, 30, 39,...


Not	
  all	
  paCerns	
  are	
  arithme?c	
  sequences:


                                 Arithmetic Sequence                                                 Not Arithmetic Sequence
                  2,4,6,8,…..                                                              1,3,6,10,…

                  20,35,50,65,….                                                           2,6,18,54,….



 Example	
  2:	
  	
  Iden?fy	
  a	
  paCern	
  in	
  each	
  sequence.	
  	
  Name	
  the	
  missing	
  terms.


 a)     4, 15, 8, 19, 12, 23, 16


 Position                                          1             2    3           4            5           6           7      8   9
 Value of Term                                     1             6    2           12                       24          8          16



      Func0on-­‐	
  a	
  rule	
  producing	
  __________	
  output	
  value	
  for	
  every	
  ________________value

      Input-­‐	
  value	
  subs?tuted	
  in	
  (____________________________	
  variable:	
  x-­‐value)

      Output-­‐	
  result	
  given	
  from	
  the	
  input	
  (_______________________________variable:	
  y-­‐value)




Example	
  3:	
  	
  Find	
  the	
  output	
  for	
  each	
  input.



            Input (x-value)                                      Rule (equation)                               Output (y-value)
            x                                                                  4x-2                            Y

            0                                                                4(0)-2                            -2

            1
            2


          y = 6x2

                  Input (x-value)                         Rule (equation)                                                  Output (y-value)
                                    x                                                                                             Y
                                    0
                                    1

                                    5



      Example	
  4:	
  	
  Make	
  a	
  func?on	
  table,	
  and	
  graph	
  the	
  resul?ng	
  ordered	
  pairs.
                                                        November 30, 2012




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                                                                                                                               November 30, 2012

 6th	
  Grade	
  Module	
  5	
  Unit	
  2	
  Day	
  16	
  Notes

 Review	
  the	
  Distribu0ve	
  Property:

 Example	
  1:	
  	
  Use	
  the	
  distribu?ve	
  property	
  to	
  write	
  an	
  equivalent	
  expression.
 Then	
  evaluate	
  the	
  expression.


 a)




      Factoring-­‐	
  opposite	
  of	
  distribu?ng

      Example	
  2:	
  	
  Use	
  the	
  distribu?ve	
  property	
  to	
  write	
  an	
  equivalent	
  expre

               3(11) - 3(4)
                                                                                                          c) 6( 1 ) + 6( 6 )
      a)

                                                                                                                7        7


       b) 7(9) + 7(5)




 Example	
  3:	
  	
  Use	
  the	
  distribu?ve	
  property	
  to	
  find	
  each	
  product.


 a)
            9(15)
                        Method	
  #1:                                                      Method	
  #2




Example	
  4:	
  	
  Recognizing	
  equivalent	
  expressions.	
  	
  Are	
  these	
  expressions	
  equivalent?
                                                   November 30, 2012




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                                                                                                                                            November 30, 2012



    6th	
  Grade	
  Module	
  5	
  Unit	
  2	
  Day	
  17	
  Notes

    Review	
  Adding	
  Like	
  Terms:

    Remember	
  when	
  you	
  add	
  terms,	
  each	
  term	
  had	
  to	
  have	
  the	
  SAME	
  variable.




     Example	
  1:	
  	
  Combine	
  Like	
  Terms	
  to	
  Simplify	
  these	
  Expressions


     a)                                                                                                         b)




  c)




  Mul0plying	
  Terms:

  When	
  mul0plying	
  terms,	
  each	
  term	
  does	
  NOT	
  have	
  to	
  have	
  the	
  same	
  variable.

  **Mul?ply	
  the	
  coefficients	
  (number	
  in	
  ______________________of	
  the	
  variable)



 Example	
  2:	
  	
  Simplify	
  each	
  expression.


 a) 3 x 4x                                                           b) y (2)                                           c)     5(x+6)




 d)           2(y2-3)                                                e) 5+4(2+8x)                                            f) 2(4+2x)-x


Example	
  3:	
  	
  Simplify	
  each	
  expression	
  by	
  wri?ng	
  it	
  with	
  exponents.	
  	
  Then	
  solve.



a)      2x2x2x2                                                      b)    y   x
                                                                                    y   x
                                                                                            y                                c) 2 3 x




 d)             xxy                                                  e)    x   x   yx x         x
                                                                                                    y   x
                                                                                                            x                 f)   x(3+y)



 g)              n(n-3)                                               h)           5(x+3) + 4(y+4)
                                                        November 30, 2012




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November 30, 2012
November 30, 2012
                                                        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

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PROBLEM OF THE WEEK!
                                                                                                                                                                                                                                                          November 30, 2012

6th	
  Grade	
  Module	
  5	
  Unit	
  2	
  Day	
  18	
  Notes

Conver0ng	
  Time:

Example	
  1:	
  	
  Convert.


     a)             450	
  min	
  =	
  ________	
  	
  h                                                                                              c)             1	
  min	
  45	
  sec	
  =	
  _________s




      b)             6	
  weeks	
  =	
  ________h




 Example	
  2:	
  	
  Finding	
  Elapsed	
  Time

          a)            Jamie’s	
  flight	
  to	
  London	
  was	
  scheduled	
  to	
  arrive	
  at	
  9:10	
  A.M.	
  	
  It	
  was	
  4	
  hours	
  25	
  minutes	
  late.	
  	
  When	
  did	
  it	
  arrive?




          b)                                                  Jamie’s	
  friend	
  Tina	
  joined	
  her	
  in	
  London.	
  	
  Tina’s	
  flight	
  arrived	
  at	
  2:30	
  P.M.	
  	
  The	
  flight	
  was	
  3	
  hours	
  15	
  minutes	
  long.	
  	
  
          	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  At	
  what	
  ?me	
  did	
  Tina’s	
  plane	
  depart?




                                                                                              Temperature Conversions


                                  To convert Celsius to Fahrenheit
                                                                                                                                   To convert Fahrenheit to Celsius




 Example	
  3:	
  	
  Find	
  the	
  	
  temperature.

     a)                                                                                                                      b)




       c)




          a)                 The	
  formula	
  for	
  conver?ng	
  Celsius	
  temperatures	
  to	
  Fahrenheit	
  

          temperatures	
  is	
                                 .	
  	
  Sterling	
  silver	
  melts	
  at	
  approximately	
  
                .	
  	
  What	
  is	
  the	
  approximate	
  Fahrenheit	
  temperature?
                                                        November 30, 2012




             Welcome to Class!
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Put your homework on the top left corner of your desk

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PROBLEM OF THE WEEK!
                                           November 30, 2012




         Welcome to Class!
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PROBLEM OF THE WEEK!

GOOD LUCK
                                           November 30, 2012




         Welcome to Class!

Write down the assignment in your agenda

Get ISTEP Packet and blue math book

PROBLEM OF THE WEEK!
                                           November 30, 2012




       Welcome to Class!

Write down the assignment in your agenda

Get ISTEP Packet

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

				
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