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Day	
  56	
  
1. 	
  Teacher	
  Inservice	
  
Day	
  57	
  
1. 	
  Graph	
  the	
  following	
  compound	
   	
   	
  	
   	
   	
  
  	
  	
  inequality:	
  

               −5 < x + 2 ≤ 4
No	
  Bones	
  About	
  It	
  
No	
  Bones	
  About	
  It	
  
No	
  Bones	
  About	
  It	
  




Forensic	
  scien>sts	
  (anthropologists)	
  study	
  the	
  human	
  
skeleton	
  to	
  answer	
  various	
  ques>ons	
  about	
  an	
  individual’s	
  
race,	
  sex,	
  age,	
  height,	
  illness,	
  and	
  trauma.	
  
No	
  Bones	
  About	
  It	
  




Predict	
  a	
  person’s	
  height	
  using	
  various	
  bone	
  length	
  
measurements	
  and	
  linear	
  equa>ons.	
  
Radius	
  
Radius	
  
Radius	
  
Humerus	
  
Tibia	
  
Tibia	
  
Which	
  bone	
  is	
  the	
  best	
  
predictor	
  of	
  your	
  height?	
  
       71	
  
       70	
  
       69	
  
       68	
  
       67	
  
       66	
  
       65	
  
       64	
  
       63	
  
       62	
  
                Height	
     Radius	
     Humerus	
     Tibia	
  
Day	
  58	
  
1. 	
  Graph	
  the	
  following	
  compound	
   	
   	
  	
   	
   	
  
  	
  	
  inequality:	
  

               − 25 ≤ 5 x ≤ 45
RelaCons	
  and	
  FuncCons	
  
DefiniCons	
  
RelaCon	
  à	
  A set of ordered pairs.
	
  
Domain	
  à	
  The set of all inputs (x-values)
     of a relation.
	
  
Range	
  à	
  The set of all outputs (y-values)
     of a relation.
Example	
  1	
  
RelaCon	
  à	
  { (-4, 3), (-1, 7), (0, 3), (2, 5)}	
  
	
  
Domain	
  à	
  { -4, -1, 0, 2 }
	
  
Range	
  à	
  { 3, 7, 5 }
Example	
  2	
  
RelaCon	
  à	
  	
  
{ (-2, 2), (5, 17), (3, 3), (5, 1), (1, 1), (7, 2) }	
  
	
  
Domain	
  à	
  { -2, 5, 3, 1, 7 }
	
  
Range	
  à	
  { 2, 17, 3, 1 }
Example	
  3	
  
             1                       0
             5                       2
             7
                                     11
             -1




Relation à {(1, 0), (5, 2), (7, 2), (-1, 11)}
Domain à {1, 5, 7, -1}
 Range à {0, 2, 11}
DefiniCon	
  
FuncCon	
  à	
  A relation in which each
     element of the domain ( x value) is
     paired with exactly one element of the
     range (y value).
	
  
Are	
  these	
  funcCons?	
  
{ (0, 2), (1, 0), (2, 6), (8, 12) }

{ (0, 2), (1, 0), (2, 6), (8, 12), (9, 6) }

{ (3, 2), (1, 0), (2, 6), (8, 12), (3, 5), }

{ (3, 2), (1, 2), (2, 2), (8, 2), (7, 2) }
{ (1, 1), (1, 2), (1, 5), (1, -3), (1, -5) }
VerCcal	
  Line	
  Test	
  
VerCcal	
  Line	
  Test	
  
Day	
  59	
  
1. 	
  Express	
  the	
  rela>on	
  as	
  a	
  mapping.	
  Is	
  the	
  
  	
  rela>on	
  a	
  func>on?	
  
 {(3,−9), (4,6), (− 2,4), (0,5), (1,5), (4,1)}
Day	
  60	
  
1. 	
  Rela>on	
  &	
  Func>on	
  Worksheet	
  
	
  




2. 	
  AM	
  Objec>ves	
  12-­‐14	
  

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Week 12

  • 1. Day  56   1.   Teacher  Inservice  
  • 2. Day  57   1.   Graph  the  following  compound                inequality:   −5 < x + 2 ≤ 4
  • 5. No  Bones  About  It   Forensic  scien>sts  (anthropologists)  study  the  human   skeleton  to  answer  various  ques>ons  about  an  individual’s   race,  sex,  age,  height,  illness,  and  trauma.  
  • 6. No  Bones  About  It   Predict  a  person’s  height  using  various  bone  length   measurements  and  linear  equa>ons.  
  • 13. Which  bone  is  the  best   predictor  of  your  height?   71   70   69   68   67   66   65   64   63   62   Height   Radius   Humerus   Tibia  
  • 14. Day  58   1.   Graph  the  following  compound                inequality:   − 25 ≤ 5 x ≤ 45
  • 16. DefiniCons   RelaCon  à  A set of ordered pairs.   Domain  à  The set of all inputs (x-values) of a relation.   Range  à  The set of all outputs (y-values) of a relation.
  • 17. Example  1   RelaCon  à  { (-4, 3), (-1, 7), (0, 3), (2, 5)}     Domain  à  { -4, -1, 0, 2 }   Range  à  { 3, 7, 5 }
  • 18. Example  2   RelaCon  à     { (-2, 2), (5, 17), (3, 3), (5, 1), (1, 1), (7, 2) }     Domain  à  { -2, 5, 3, 1, 7 }   Range  à  { 2, 17, 3, 1 }
  • 19. Example  3   1 0 5 2 7 11 -1 Relation à {(1, 0), (5, 2), (7, 2), (-1, 11)} Domain à {1, 5, 7, -1} Range à {0, 2, 11}
  • 20. DefiniCon   FuncCon  à  A relation in which each element of the domain ( x value) is paired with exactly one element of the range (y value).  
  • 21. Are  these  funcCons?   { (0, 2), (1, 0), (2, 6), (8, 12) } { (0, 2), (1, 0), (2, 6), (8, 12), (9, 6) } { (3, 2), (1, 0), (2, 6), (8, 12), (3, 5), } { (3, 2), (1, 2), (2, 2), (8, 2), (7, 2) } { (1, 1), (1, 2), (1, 5), (1, -3), (1, -5) }
  • 24. Day  59   1.   Express  the  rela>on  as  a  mapping.  Is  the    rela>on  a  func>on?   {(3,−9), (4,6), (− 2,4), (0,5), (1,5), (4,1)}
  • 25. Day  60   1.   Rela>on  &  Func>on  Worksheet     2.   AM  Objec>ves  12-­‐14