AlgebraicFractions
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Algebraic Fractions for Student Answers
This code shows how to format questions in which the answer is an algebraic fraction that has separate answer blanks for the numerator and denominator.
| PG problem file | Explanation |
|---|---|
DOCUMENT(); loadMacros( "PGstandard.pl", "PGunion.pl", "MathObjects.pl", "PGcourse.pl", ); TEXT(beginproblem()); |
Initialization:
To do ..(what you are doing)........., we don't have to change the
tagging and documentation section of the problem file.
In the initialization section, we need to include the macros file |
Context("Numeric");
$a = random(3,7,1);
$b = random(3,7,1);
while ($a == $b) { $b = random(3,7,1); }
$apb = $a + $b;
$frac = "\frac{$a}{x} + \frac{$b}{x-1}";
$num = Formula("$apb * x - $a")->reduce;
$den = Formula("x*(x-1)")->reduce;
#
# Display the fraction and answer blanks nicely
#
if ($displayMode eq 'TeX') {
$displayfrac =
"\[ $frac = ".ans_rule(10).ans_rule(10)." \]";
} else {
$displayfrac =
ColumnTable(
"\( \displaystyle $frac = \)",
ans_rule(20).$BR.$HR.ans_rule(20),
indent => 0, separation => 10, valign => "MIDDLE"
);
}
|
Setup:
We specify that the Context should be Notes: on using this and related Contexts. |
Context()->texStrings; BEGIN_TEXT Write the expression as a single fraction. Simplify your answer. $BR $BR $BCENTER $displayfrac $ECENTER END_TEXT Context()->normalStrings; |
Main Text: The problem text section of the file is as we'd expect. |
$showPartialCorrectAnswers = 1; install_problem_grader(~~&std_problem_grader); ANS($num->cmp); ANS($den->cmp); ENDDOCUMENT(); |
Answer Evaluation: As is the answer. |
