Fundamental Theorem of Calculus: handling the preview button.
Jump to navigation
Jump to search
When clicking the preview button, messages that you prepare for the student will be displayed. In the problem below you learn how to prevent this.
# Created by Nikola Kuzmanovski ######################################################################## DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGinfo.pl", ); TEXT(beginproblem()); $showPartialCorrectAnswers = 1; ############################################################## # # Setup # # Context("Numeric"); $f_DownLim = random(-9, 9, 1); $f_UpLim = random($f_DownLim + 5, $f_DownLim + 15, 1); $integral = random(-9, 9, 1) + 1; $F_UpLim = random(-9, 9, 1) + 1; $F_DownLim = $F_UpLim - $integral; ############################################################## # # Text # # Context()->texStrings; BEGIN_TEXT Suppose that you have two functions \(f(x)\) and \(F(x)\) such that \(F'(x)=f(x)\). Also, suppose that \begin{eqnarray*} \int_{$f_DownLim}^{$f_UpLim} f(x) &=& $integral\\ F($f_UpLim) &=& $F_UpLim. \end{eqnarray*} Then \(F($f_DownLim) = \) \{ans_rule\}. END_TEXT Context()->normalStrings; ############################################################## # # Answers # # $checkFTCSolve = sub{ if($inputs_ref->{previewAnswers}){ return 0.0; } my ($correctAns, $studentAns, $ansHash) = @_; $score = 0.0; if($correctAns == $studentAns){ $ansHash->{ans_message} = "Great Job!"; $score = 1.0; }elsif(Real("$F_UpLim + $integral") == $studentAns){ $ansHash->{ans_message} = "You might have made a mistake when moving the integral to the other side of the equation. It could also be that you made a mistake when negating the equation."; $score = 0.9; }elsif(Real("-$F_UpLim - $integral") == $studentAns){ $ansHash->{ans_message} = "You might have made a mistake when moving F(".$f_UpLim.") to the other side of the equation. It could also be that you made a mistake when negating the equation."; $score = 0.9; }elsif(Real("-$F_UpLim + $integral") == $studentAns){ $ansHash->{ans_message} = "You made several algebra mistakes. Go back and check you work. Make sure you are careful when moving things around the = and when negating."; $score = 0.8; }else{ $ansHash->{ans_message} = "Sorry, you didn't get any credit. Try reviewing the material on the Fundamental Theorem of Calculus."; $score = 0.0; } return $score; }; ANS(Real("$F_DownLim")->cmp(checker => $checkFTCSolve)); ENDDOCUMENT();
Exercises:
- Remove the "PGinfo.pl", line. What happens?
- Remove the first if statement in the answer checker. What happens?