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ADVANCED  MATH  DECISION  MAKING  PORTFOLIO     EDDIE  SCHWARTZ   3B  

                       


TABLE  OF  CONTENTS                                              


This  portfolio  reflects  the  work  I  have  completed  this  year  in  Advanced  Math   Decision  Making.  This  course  is  unlike  many  math  classes  offered  at  Grady  High   School.  The  class  emphasizes  the  application  of  math  skills  in  everyday  life.  As  a   student  I  have  learned  to  use  geometry,  trigonometry,  statistics,  algebra,  and   various  other  math  principles  while  solving  problems  in  everyday  situations.   Through  out  the  year  we  have  been  used  our  knowledge  of  mathematics  in  different   scenarios  which  require  critical  thinking  and  problem  solving.  This  portfolio   displays  my  growth  as  a  student  throughout  the  year.                  


I  was  born  on  August  2nd,  1995  in  Atlanta,  Georgia.  I  had  a  Mommy  and  a  Daddy,  my   older  brothers  name  was  Coleman.  At  the  age  of  three  I  moved  to  Durham,  North   Carolina  for  my  moms  job  as  a  banker.  After  I  finished  elementary  school  our  family   made  the  decision  to  move  back  to  Atlanta.  I  was  enrolled  at  Inman  while  my  family   looked  for  a  house  in  the  area.  At  Inman  I  made  a  lot  of  really  great  friends,  which  I   still  have  to  this  day.  During  middle  school  I  taught  myself  how  to  play  bass  and   guitar,  I  loved  playing  in  a  band  with  my  friends.     As  my  musical  compulsion  settled  down,  I  decided  I  needed  something  new  to  focus   on.  There  a  lot  of  reasons  I  decided  to  start  skating,  it  was  something  I  had  always   dreamed  of  doing  and  it  I  was  drawn  to  the  abstract  self-­‐expression  of  the  sport.   Teaching  myself  to  skate  was  one  of  the  hardest  challenges  I  have  overcome.  I  spent   months  trying  to  Ollie  before  finally  figuring  it  out,  after  learning  that  first  trick  I   was  hooked.  I  began  to  feel  this  sense  of  steady  progression,  which  I  still  feel  every   time  I  learn  something  new.    


Throughout  high  school  skating  grew  into  a  huge  part  of  my  everyday  life,  at  times  it   was  all  I  could  think  about.  Without  skating  I  have  no  clue  how  I  would’ve  made  it   through  high  school.  Whenever  I  was  in  a  stressful  situation,  such  as  my  parents   divorce  in  tenth  grade,  I  would  always  be  able  to  clear  my  head  by  going  skating.   When  the  city  of  Atlanta  reopened  Fourth  Ward  Skate  Park,  my  life  changed  forever.     Until  this  point,  my  friends  and  I  only  skated  street  and  flat  ground.  I  was  in  awe   when  I  saw  the  bowl  for  the  first  time.  It  just  seemed  like  nothing  in  the  world  could   compare  to  the  feeling  of  doing  an  air  on  a  huge  ramp.              I  started  skating  bowls  everyday;  it  wasn’t  too  long  before  I  was  begging  my   mom  to  let  me  build  a  Half  Pipe.  It  took  about  two  years  of  persuading  but  I  finally   convinced  her  last  summer.  I  began  to  draw  out  the  ramp  plan,  building  a  half  pipe   requires  a  lot  more  math  precession  than  I  had  realized.  I  measured  out  thirty  by  ten   feet  in  my  front  yard  as  estimation,  I  eventually  changed  this  twenty-­‐five  by  eight   feet.  I  began  to  calculate  how  many  two  by  fours  I  would  need  for  the  frame,  it  was   important  to  be  precise  while  working  on  a  budget.  By  putting  a  two  by  four  every   7.5  inches  down  the  frame,  I  was  able  to  create  a  stable  frame  while  only  using  35   two  by  fours.  My  next  challenge  was  the  sides  of  the  quarter  pipes,  these  pieces  of   wood  support  a  lot  of  pressure  so  I  decided  to  use  a  highly  treated  six  ply  sheet  of   plywood.  Cutting  a  perfect  transition  of  the  rectangular  sheet  of  plywood  is  possibly   the  most  vital  part  of  building  a  ramp.  By  drawing  out  my  quarter  pipe  with  a  long   radius  and  base  I  was  able  to  create  a  smooth  transition.  If  the  transition  were   inaccurate  then  ramp  would  become  vertical,  if  the  ramp  didn’t  function  I  would   have  wasted  about  seven  hundred  dollars  so  it  was  pretty  important.  Once  the  


skeleton  of  the  ramp  was  complete  I  started  to  think  about  how  it  should  be  layered.   While  running  low  on  money  I  decided  to  do  the  first  layer  with  4  ply  non-­‐treated   plywood.  This  generic  plywood  helped  me  strengthen  the  surface  while  saving   money  for  a  stronger  top  layer.  I  spent  hours  in  home  depot  this  summer  trying  to   find  the  perfect  wood;  I  eventually  found  a  treated  wood  called  sanded  maple.  The   wood  was  weatherproof  and  very  smooth,  the  low  friction  made  the  ramp  pristine.     After  weeks  of  sketching,  planning  and  building,  I  had  finally  accomplished  my  goal;   I  would  have  never  been  able  to  do  so  without  my  math  skills.  It  was  crucial  to  have   every  measurement  correct  down  to  the  nearest  decimal.  Building  my  ramp  allowed   me  to  use  math  in  an  everyday  situation,  which  led  me  to  fulfill  a  lifelong  dream.                              


In  this  assignment  we  analyzed  indices  using  two  groups  of  data.  We  learned  that  the   weighted  average  of  a  set  of  numbers  could  greatly  differ  the  indices  value.  We  were  able  to   apply  this  to  our  class  by  analyzing  two  different  grading  systems.  I  chose  this  assignment   because  it  can  easily  be  applied  to  any  grading  system  for  a  class.  The  grading  systems  were   assigned  different  values  to  measures  such  as  tests,  homework,  finals,  and  participation.   System  two  had  noticeably  higher  percentile  for  test  grades,  I  learned  that  this  was  the  

 


viable  choice  for  me  because  I  test  well.  By  exploring  this  further  our  group  was  able  to   make  a  more  efficient  grading  system  by  manipulating  the  weights.    

                   


We  continued  to  build  on  to  our  knowledge  of  indices,  in  this  activity  worked  with  a  trend  called  the   FCI  (fan  cost  index).  We  compared  and  analyzed  the  FCI  of  several  professional  sports;  by  factoring  in   Inflation  Rates  we  were  able  to  calculate  future  FCI  Averages.  I  chose  this  activity  because  it  helped   us  build  upon  our  knowledge  of  Indices  in  real  life  situations.  We  learned  that  football  was  the  most   popular  sport;  it  had  the  highest  FCI  rate.  We  also  learned  that  the  MLB  had  the  lowest  FCI,  it  was   useful  to  be  able  to  apply  indices  and  inflation  while  making  these  comparisons.  


Our  class  covered  a  long  unit  on  determining  probabilities;  I  chose  this  worksheet  because  it  displays   a  real  life  application  of  probability.  My  father  has  worked  as  restaurant  manager  for  a  large  part  of   my  life  so  I  found  this  assignment  very  relevant  to  my  everyday  life.    We  analyzed  a  tree  diagram   displaying  various  combinations  of  “The  All  American  Breakfast.”  We  then  analyzed  the  probabilities   of  a  certain  combination  being  ordered;  we  learned  that  each  combination  is  equally  likely  and  when   added  the  sums  will  equal  one  hundred  percent.  This  assignment  helped  me  learn  how  to  organize   probabilities;  I  now  understand  how  to  appropriately  use  an  Area  Model  and  or  Tree  Diagram.    


This  activity  applied  recursion  in  an  exponential  growth  within  a  model.  I  chose  this  assignment   because  it  taught  me  how  to  calculate  an  interest  rate.  Without  learning  this  information  I  would  be   unable  to  predict  how  much  a  student  loan  will  coast  to  pay  off.  In  our  assignment,  Derrick’s  interest   grows  at  an  exponential  rate  for  every  dollar  he  earns.  Our  group  worked  to  predict  how  long  it   would  take  Derrick  to  save  up  if  he  increased  his  savings  at  a  constant  rate  of  fifty  dollars  per  month.   Afterwards  we  wrote  a  recursive  rule  for  the  function,  the  recursive  rule  could  easily  be  applied  to   calculating  interest  and  debt.      

 


Self  Evaluation  Part  One     I  would  give  my  self  a  4/5  while  rating  my  effort  and  work  ethic.  Though  out  the  year  we   were  able  to  work  together  in  groups  to  solve  problems  with  critical  thinking.  Working  in  a   group  allowed  us  to  learn  from  our  mistakes  to  ensure  an  understanding  of  the  material.  I   was  able  to  achieve  full  credit  on  a  majority  of  assignments  by  learning  from  my  group   members.  I  found  that  a  strong  work  ethic  is  crucial  to  group  work,  if  one  person  slacks  off   then  so  will  the  rest  of  the  group.  There  were  many  times  where  I  took  initiative  in  keeping   the  group  on  task  and  focused.  Reliability  was  also  important;  my  group  members  knew   they  could  count  on  me  to  pull  my  own  weight.  In  assignments  such  as  applying  indices  to   weighted  sums  and  averages  our  group  worked  together  manipulating  the  weights  to  create   a  more  viable  grading  system.  I  thought  it  was  highly  applicable  to  real  life  that  we  worked   together  to  solve  problems  using  our  combined  knowledge  of  math  concepts.            

Self  Evaluation  Part  Two  

I  would  like  to  rate  myself  a  5/5  on  level  of  understanding  of  the  concepts  that  were  taught.   Advanced  Math  Decision  Making  showed  me  how  to  apply  general  math  skills  to  everyday   life  such  as  organizing  probabilities  or  how  to  compare  and  manipulate  weighted  indices.  I   was  able  to  learn  a  lot  from  activities  as  well  as  members  of  my  group.  These  assignments   helped  my  build  upon  my  critical  think  and  problem  solving.  By  obtaining  a  level  of   understanding  of  the  concepts  through  these  activities  I  was  always  well  prepared  to  test.   We  did  multiple  activities  on  each  unit;  this  made  me  feel  well  rehearsed  on  the  concepts,   which  definitely  impacted  my  test  grades.  I  believe  that  my  assignments,  tests,  and  quizzes   reflect  a  5/5  level  of  understanding.                                      


Conclusion  

   This  concludes  my  Advanced  Math  Decision  Making  Portfolio;  it  should  display  a   high  level  of  understanding  the  concepts  taught  and  how  to  apply  them  to  everyday   life.  Through  out  the  year  I  was  able  to  work  with  a  group  sharing  information  and   learning  from  peers.  We  were  able  to  think  critically  to  solve  problems,  which  were   applicable  to  the  real  word.  By  applying  a  general  knowledge  of  Trig,  Algebra,   Geometry,  and  Statistics  we  were  able  to  solve  a  variety  of  scenarios.  The  work   presented  reflects  a  flawless  understand  and  application  of  these  concepts.  It  should   also  display  my  steady  growth  as  a  student  through  out  the  year.  I  was  able  to  obtain   high  grades  by  learning  from  my  mistakes  and  working  with  peers.  Advanced  Math   Decision  Making  has  taught  me  how  to  relate  the  concepts  I’ve  learned  to  real  life   scenarios  such  of  calculating  interest  or  organizing  probability  rates.    


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