Good Habits for the AP* Exam - From an 
                     AP* Exam Grader 
                     (excerpts from AP*  Calculus reader Doug Shaw - printed with permission) 
                     (1.) While units aren't always taken into account, they often are.  
                       Students should get in the habit of always including units when asked, and 
                       knowing what the correct units are, even when not asked. 
                     (2.)  For some problems, the grader may be instructed NOT to look 
                       at any graphs or figures unless the student specifically directs the 
                       grader to look at them.  Students should make a point of stating "see 
                       my graph below" if they want to illustrate something using a graph, and be 
                       aware that a graph sitting by itself does not constitute a mathematical 
                       explanation. 
                     (3.)  Graphs and figures should always be labeled, or they may not 
                       receive full credit.  If a student, for example, draws the graph of g', it should be labeled as g' so it can not be confused 
                       with g. 
                     (4.)  The students should write their solutions in the appropriate 
                       part of their booklets.  If the worst happens, and the student has 
                       written the solution in the wrong place, s/he should alert the graders 
                       twice.  Once in the place where the solution was written, and once in 
                       the place where it should have been written, just to make sure the graders 
                       know what happened.  But the safest thing to do is to write the 
                       correct solution in the correct place. 
                     (5.)  Two words:  RADIAN MODE 
                     (6.)  In a multipart problem, where the solution to part a is 
                       needed to do part b, it may be to the students' advantage to assume an 
                       answer to part a, and use the answer to demonstrate a knowledge of how to 
                       do part b.  Perhaps stating it explicitly, "I can't do part a so I am 
                       assuming the answer is 0.5 for the purposes of part b.:  This isn't 
                       guaranteed to receive credit, but can be a good thing to do if there is 
                       time. 
                     (7.)  In problems where a descriptive answer is required, the 
                       student should make sure to answer the question asked.  The graders 
                       are all very experienced teachers, and will not be fooled by a lot of 
                       words thrown on the paper in an attempt to obfuscate.  Students' 
                       explanations, like their mathematics, should be clear and correct.  
                       For example, if asked to describe what is happening to the temperature 
                       over the course of a day, it is better to say "decreasing" than "changing" 
                       and it is better to say "decreasing at a constant rate" than "decreasing." 
                     (8.)  Students should give numerical approximations three decimal 
                       place accuracy.  When plugging numbers into a function, such as 
                       plugging    into   it is best to do the rounding at the end   then rounding all along   which is not accurate to three decimal places). 
                     (9.)  Students should be weaned from over-using the word "it".  Call functions by their names (f(x), g(x), velocity, dy/dx, 
                       etc.) 
                     (10.) Students do not have to convert temperature given in degrees into 
                       radians. 
                     (11.) The College Board frowns on "calculatorese".  Statements 
                       such as "I entered NumInt(x^2,x,0,1)" are not mathematical explanations. 
                     (12.)  The AP Exam is not graded on neatness, but the graders 
                       cannot fairly grade work that they cannot read.  Your teacher may be 
                    used to your handwriting, but can a stranger read it?  |