ap calculus panel t3 2014 wright

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    2014 T3 CONFERENCE

    Craig L. WrightETS

    Princeton, [email protected]

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    AP CALCULUSEXAMS

    Section 1 Multi le-Choice

    Part A: 28 questions, 55 minutes.No calculator allowed.

    Part B: 17 questions, 50 minutes.

    Graphing calculator required for some questions.

    Part A: 2 questions, 30 minutes.

    Graphing calculator required.

    Part B: 4 questions, 60 minutes.

    No calculator allowed. Students may continue work

    .

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    AP CALCULUSEXAMS

    Wednesday morning, May 7

    a n orm , ana a, uerto co, an rg nIslands) Free-response questions from these forms will beposted on AP CentralFriday afternoon, May 9.

    International form (outside of US, Canada, Puerto Rico,and US Virgin Islands)

    exam that is different from the US Main form. This helpsto ensure score comparability across exam forms.

    , Late-testing form

    For students unable to test on Ma 7 or Ma 22, there is anadditional form available for such circumstances.

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    AP CALCULUSEXAMS

    The multiple-choice section of the exam mustnever be seen by anyone other than the student

    es ng on exam ay. mu p e-c o ce

    questions are considered secure.

    -

    Central may be discussed with students. Teachers

    free-response questions with students. All other

    free-response questions are considered secure.

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    AP CALCULUSEXAMS

    Disclosed exams

    Multiple-choice exams: 1969, 1973, 1985, 1988, 1993,1997, 1998, 2003, 2008

    -

    2003-2013 available on AP Central

    AP Audit-authorized teachers. These exams areintended to remain secure so that they are not available

    to students.

    2012 International form

    2013 International form

    2014 International form (available fall 2014)

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    AP CALCULUS

    STUDENT SCOREDISTRIBUTIONS2013

    Calculus Calculus Calculus

    Subscore

    Exam N % at N % at N % at

    Score

    5 67,594 23.9 47,859 45.8 58,509 56.0

    , . , . , .

    3 48,999 17.3 18,750 17.9 11,791 11.3

    2 31,796 11.2 5,953 5.7 5,689 5.4

    1 83,135 29.4 15,059 14.4 7,700 7.4

    282,814 104,483

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    GRAPHINGCALCULATORS ON THE

    AP CALCULUSEXAMS-US MAINFORM

    Calculus AB Calculus BC

    Non-CAS %

    83/84/Ns ire

    CAS %

    89/Ns ire CAS

    Non-CAS % CAS %

    or equivalent) or equivalent)

    2010 83 15 75 24

    2011 84 15 77 22

    2013 86 13 80 19

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    10 REMINDERS ABOUT THECALCULATOR ON

    THEEXAMS

    1 Radian mode

    2) Be proficient with the four required capabilities. Graphing (Use information in the question to determine

    v ew ng w n ow.

    Finding zeros of functions/Solving equations numerically

    (Visualization from graph screen is important before usingnumerical or symbolic solver.)

    Numerically calculating derivative of a function at a point

    Numericall calculatin value of a definite inte ral

    3) Show the setup when using the required capabilities.

    4) Report decimal approximations to three digits after the

    decimal point. Avoid intermediate rounding.

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    10 REMINDERS ABOUT THECALCULATOR ON

    THEEXAMS

    5 Store functions in the calculator Y=/function list.

    6) Watch parentheses when entering functions.7) Store important values (e.g., zero or point of

    intersection) into a variable. Use the variable in

    subsequent calculations.

    .

    calculations on graph screen vs. home screen.

    9) Justifications require mathematical (noncalculator)

    arguments. A graph reproduced from the calculator isnot a sufficient basis for a mathematical argument.

    ,

    syntax.

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    PREPARINGSTUDENTS FOR THE

    EXAMS.REGARDLESS OF THE TYPE OF

    CALCULATOR

    Teach a solid calculus course with emphasis on

    Conceptual understanding and connections

    Experience with applications

    u represen a ona approac grap ca , numer ca ,

    analytic, verbal)

    On the free-res onse section em hasize ood

    mathematical communication and writing

    Explain solutions

    Justifications

    Interpretation of answers

    ow your wor

    Encourage students to try each part of each question.

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    PREPARINGSTUDENTS FOR THE

    EXAMS.REGARDLESS OF THE TYPE OFCALCULATOR

    Use free-res onse uestions from revious exams

    Rich problems covering multiple topics Familiarize students with style of questions asked

    Remember that topics, techniques, and contexts vary

    Emphasize strong preparation in courses leading to APa cu us

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    WRITINGMULTIPLE-CHOICEQUESTIONS FOR

    THEAP CALCULUSEXAMS

    Training will focus on important principles fordevelo in multi le-choice uestions

    Focus on writing questions aligned to learning

    objectives for the AP Calculus student

    Interested? Contact me at [email protected]