DisableFunctions1: Difference between revisions

Latest revision as of 09:59, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem

Disabling Functions so Students Must Simplify Answers

This PG code shows how to disable all functions and restrict student answers to fractions.

PGML location in OPL: FortLewis/Authoring/Templates/Trig/DisableFunctions1_PGML.pg

Templates by Subject Area

PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( 'PGstandard.pl', 'MathObjects.pl', 'contextFraction.pl', 'PGML.pl', 'PGcourse.pl' ); TEXT(beginproblem());	Initialization: The `contextFraction.pl` is loaded since we used the `Fraction-NoDecimals</text> context.`
Context('Fraction-NoDecimals'); # Prevent pi from becoming 3.1415... and cos(pi) from # becoming -1. Context()->constants->set(pi => {keepName => 1}); # The next context changes are not necessary to # prevent cos(pi) from becoming -1, but they cannot hurt. Context()->flags->set( reduceConstants=>0, reduceConstantFunctions=>0 ); $f1 = Formula('cos(pi)'); $f2 = Formula('sin(pi/3)'); Context()->functions->disable('All'); Context()->functions->enable('sqrt'); $answer1 = Compute('-1'); $answer2 = Compute('sqrt(3)/2');	Setup: We choose a context that requires fractions as answers and does not allow decimals. After constructing the formulas involving trig functions, we disable all functions and re-enable the `sqrt()` function. This means that students are allowed to type in fractions and square roots, but not much else (e.g., they'll get an error message if they type in a trig function). Note that `$f1` and `$f2` are MathObject Formulas, which do not get reduced since `pi` is set to keep its name. If `$f1` and `$f2` used Compute instead, then the results would be `-1` and `0.866...` instead of `cos(\pi)` and `sin(\pi/3)` as desired.
BEGIN_PGML Enter your answers as simplified fractions. + [` [$f1] = `] [_____________]{$answer1} + [` [$f2] = `] [_____________]{$answer2} [@ helpLink('fractions') @]* END_PGML	Main Text:
BEGIN_PGML_SOLUTION The cosine of an angle is zero when the angle is an integer multiple of $ \pi $. END_PGML_SOLUTION ENDDOCUMENT();	Solution:

Templates by Subject Area

@@ Line 1: / Line 1: @@
+{{historical}}
+<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Trig/DisableFunctionsTrig.html a newer version of this problem]</p>
 <h2>Disabling Functions so Students Must Simplify Answers</h2>
-<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;">
+[[File:DisableFunctions1.png|300px|thumb|right|Click to enlarge]]
+<p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;">
 This PG code shows how to disable all functions and restrict student answers to fractions.
-<ul>
-<li>Download file: [[File:DisableFunctions1.txt]] (change the file extension from txt to pg when you save it)</li>
-<li>File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/Trig/DisableFunctions1.pg</code></li>
-</ul>
 </p>
+<!--* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Trig/DisableFunctions1.pg FortLewis/Authoring/Templates/Trig/DisableFunctions1.pg] -->
+* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Trig/DisableFunctions1_PGML.pg FortLewis/Authoring/Templates/Trig/DisableFunctions1_PGML.pg]
+<br clear="all" />
 <p style="text-align:center;">
 [[SubjectAreaTemplates|Templates by Subject Area]]
@@ Line 16: / Line 21: @@
 <tr valign="top">
-<th> PG problem file </th>
+<th style="width: 40%"> PG problem file </th>
 <th> Explanation </th>
 </tr>
@@ Line 43: / Line 48: @@
 loadMacros(
-"PGstandard.pl",
+  'PGstandard.pl',
-"MathObjects.pl",
+  'MathObjects.pl',
-"AnswerFormatHelp.pl",
+  'contextFraction.pl',
-"contextFractions.pl",
+  'PGML.pl',
+  'PGcourse.pl'
 );
 TEXT(beginproblem());
 </pre>
@@ Line 55: / Line 60: @@
 <p>
 <b>Initialization:</b>
+* The <code>contextFraction.pl</code> is loaded since we used the <code>Fraction-NoDecimals</text> context.
 </p>
 </td>
@@ Line 65: / Line 72: @@
 <td style="background-color:#ffffdd;border:black 1px dashed;">
 <pre>
-Context("Fraction-NoDecimals");
+Context('Fraction-NoDecimals');
+# Prevent pi from becoming 3.1415... and cos(pi) from
+# becoming -1.
+Context()->constants->set(pi => {keepName => 1});
+# The next context changes are not necessary to
+# prevent cos(pi) from becoming -1, but they cannot hurt.
+Context()->flags->set(
+  reduceConstants=>0,
+  reduceConstantFunctions=>0
+);
+$f1 = Formula('cos(pi)');
+$f2 = Formula('sin(pi/3)');
-$x = Formula("cos(pi)");
+Context()->functions->disable('All');
+Context()->functions->enable('sqrt');
-$y = Formula("sin(pi/3)");
+$answer1 = Compute('-1');
+$answer2 = Compute('sqrt(3)/2');
 </pre>
 </td>
@@ Line 75: / Line 98: @@
 <p>
 <b>Setup:</b>
+We choose a context that requires fractions as answers and does not allow decimals.  After constructing the formulas involving trig functions, we disable all functions and re-enable the <code>sqrt()</code> function.  This means that students are allowed to type in fractions and square roots, but not much else (e.g., they'll get an error message if they type in a trig function).
+</p>
+<p>
+Note that <code>$f1</code> and <code>$f2</code> are MathObject Formulas, which do not get reduced since <code>pi</code> is set to keep its name.  If <code>$f1</code> and <code>$f2</code> used Compute instead, then the results would be <code>-1</code> and <code>0.866...</code> instead of <code>cos(\pi)</code> and <code>sin(\pi/3)</code> as desired.
 </p>
 </td>
@@ Line 84: / Line 111: @@
 <td style="background-color:#ffdddd;border:black 1px dashed;">
 <pre>
-Context()->texStrings;
+BEGIN_PGML
-BEGIN_TEXT
 Enter your answers as simplified fractions.
-$BR
-$BR
-\( $x = \)
-\{ ans_rule(20) \}
-\{ AnswerFormatHelp("fractions") \}
-$BR
-$BR
-\( $y = \)
-\{ ans_rule(20) \}
-\{ AnswerFormatHelp("fractions") \}
-END_TEXT
-Context()->normalStrings;
-</pre>
-<td style="background-color:#ffcccc;padding:7px;">
-<p>
-<b>Main Text:</b>
-</p>
-</td>
-</tr>
-<!-- Answer evaluation section -->
-<tr valign="top">
++ [` [$f1] = `] [_____________]{$answer1}
-<td style="background-color:#eeddff;border:black 1px dashed;">
-<pre>
-$showPartialCorrectAnswers = 1;
-ANS( Real($x->eval)->cmp() );
++ [` [$f2] = `] [_____________]{$answer2}
-ANS( Real($y->eval)->cmp() );
+[@ helpLink('fractions') @]*
+END_PGML
 </pre>
-<td style="background-color:#eeccff;padding:7px;">
+<td style="background-color:#ffcccc;padding:7px;">
 <p>
-<b>Answer Evaluation:</b>
+<b>Main Text:</b>
 </p>
 </td>
@@ Line 130: / Line 133: @@
 <td style="background-color:#ddddff;border:black 1px dashed;">
 <pre>
-Context()->texStrings;
+BEGIN_PGML_SOLUTION
-BEGIN_SOLUTION
+The cosine of an angle is zero when
-${PAR}SOLUTION:${PAR}
+the angle is an integer multiple of \( \pi \).
-Solution explanation goes here.
+END_PGML_SOLUTION
-END_SOLUTION
-Context()->normalStrings;
-COMMENT('MathObject version.');
 ENDDOCUMENT();
@@ Line 155: / Line 154: @@
 [[Category:Top]]
-[[Category:Authors]]
+[[Category:Sample Problems]]
+[[Category:Subject Area Templates]]

DisableFunctions1: Difference between revisions

Latest revision as of 09:59, 18 July 2023

Disabling Functions so Students Must Simplify Answers

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