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Right and Wrong Ways to Use your calculator on the AP Calc Exam Notes taken by Sean Bird at Greg Hill’s  [email_address]   http://cstaff.hinsdale86.org/~ghill   presentation at the T 3  International Conference in DC 2005.  Updated April 26, 2008   (partially for the TI-Nspire CAS) [email_address]   http://covenantchristian.org/bird
Things To Remember (Common Mistakes That Make Readers Pull Their Hair Out.) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Calculator as learning tool vs.  How to use it on the exam ,[object Object],[object Object],[object Object],[object Object],Do  NOT  try to integrate that by hand. Do  NOT  graph the integral On 84 or 89, speed up graphing by changing RES Graph f’ and look for zeros.
[object Object],[object Object],Graph f’ and look for zeros. Before graphing in on your Nspire (or with any graphing calculator) think about the window. What does sine do? What is significant about these points?
#92. Where is  g ( x )  decreasing between -1 ≤ x ≤ 3 ,[object Object],[object Object]
#92. Where is  g ( x )  decreasing between -1 ≤ x ≤ 3 Doing this on the TI-Nspire, finding the zeros is quite easy. 1. Open up a G&G (Graphs & Geometry). This can be done using  /I  to insert a new page, or  c2 2. Set up the window using the given domain.  b4x ,  v1e3·   3. Graph the DERIVATIVE (to consider where it is negative) 4.  Optional:  Zoom Fit  b4A (you could have already set the y-axis to be from about -1 to 1 since sine oscillates between that.) 5.  On the TI-Nspire, the value of the intersection points between two graph are automatically given, so graph f2(x)=0 and press  b63 /x  to grab and move text to make it easy to see ( /G   removes entry line)
AB2003#1  Free Response  find  area  between curves &  volume  about y=1 ,[object Object],[object Object],[object Object],[object Object],Especially with 83/84, decrease mess by using Y1 and Y2,  e.g.  fnInt(Y1-Y2,x,0,x)
#76  v ( t ) = 3 + 4.1 cos(0.9 t ). What is  a (4)? ,[object Object],[object Object],[object Object],This is the ‘such that’ or ‘with’ bar. Don’t make the common mistake of putting in t=4, before you take the derivative!!
2003AB#83   What is the average velocity of the particle from time  t  = 0 to time  t  = 3? ,[object Object],[object Object],[object Object],Gives the approximate answer when you’re in AUTO
2003AB#84  Initial temp is 350 degrees Fahrenheit (  F).  The temperature of the pizza is changing at a rate of T(5)=?  (A) 112  F  (D) 238  F ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2001AB#2 ,[object Object],[object Object]
In summary – clearly demonstrate that you know calculus   ,[object Object],[object Object],[object Object],[object Object]
Note to teacher: MAKE all your tests AP tests ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],year          5          4   3   2   88         83      68      48      32     93      67      53      36      24         97         72      56      39      25     98         74      57      39      24         2003      66      47      29      16       average  72.4   56.2   38.2   24.2  half      36.2   28.1   19.1   12.1     grade      5        4        3        2    %     0.670  0.520  0.354  0.224 A  B  C  D Scores provided by Mike Tamblyn 4/20/2008 on the AP Calc EDG

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Rightand wrong[1]

  • 1. Right and Wrong Ways to Use your calculator on the AP Calc Exam Notes taken by Sean Bird at Greg Hill’s [email_address] http://cstaff.hinsdale86.org/~ghill presentation at the T 3 International Conference in DC 2005. Updated April 26, 2008 (partially for the TI-Nspire CAS) [email_address] http://covenantchristian.org/bird
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. #92. Where is g ( x ) decreasing between -1 ≤ x ≤ 3 Doing this on the TI-Nspire, finding the zeros is quite easy. 1. Open up a G&G (Graphs & Geometry). This can be done using /I to insert a new page, or c2 2. Set up the window using the given domain. b4x , v1e3· 3. Graph the DERIVATIVE (to consider where it is negative) 4. Optional: Zoom Fit b4A (you could have already set the y-axis to be from about -1 to 1 since sine oscillates between that.) 5. On the TI-Nspire, the value of the intersection points between two graph are automatically given, so graph f2(x)=0 and press b63 /x to grab and move text to make it easy to see ( /G removes entry line)
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.

Editor's Notes

  1. From the graph we can see that f ‘ changes sign four times in the interval…. Answer is D