Difference between revisions of "DisableFunctions1"

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(add historical tag and give links to newer problems.)
 
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{{historical}}
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<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problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Trig/DisableFunctionsTrig.html a newer version of this problem]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>
  
<h2>Disabling Functions so Students Must Simplify Answers</h2>
   
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This PG code shows how to disable all functions and restrict student answers to fractions.
  
This PG code shows how to disable all functions and restrict student answers to fractions.
 
</p>
  
</p>
−
* Download file: [[File:DisableFunctions1.txt]] (change the file extension from txt to pg when you save it)
  
  +
<!--* 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] -->
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* File location in NPL: <code>FortLewis/Authoring/Templates/Trig/DisableFunctions1.pg</code>
  
  +
* 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" />
  
<br clear="all" />
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<tr valign="top">
  
<tr valign="top">
−
<th> PG problem file </th>
 +
<th style="width: 40%"> PG problem file </th>
 
<th> Explanation </th>
  
<th> Explanation </th>
 
</tr>
  
</tr>
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loadMacros(
  
loadMacros(
−
"PGstandard.pl",
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'PGstandard.pl',
−
"MathObjects.pl",
 +
'MathObjects.pl',
−
"AnswerFormatHelp.pl",
 +
'contextFraction.pl',
−
"contextFraction.pl",
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'PGML.pl',
  +
'PGcourse.pl'
 
);
  
);
−  
 
TEXT(beginproblem());
  
TEXT(beginproblem());
 
</pre>
  
</pre>
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<p>
  
<p>
 
<b>Initialization:</b>
  
<b>Initialization:</b>
  +
  +
* The <code>contextFraction.pl</code> is loaded since we used the <code>Fraction-NoDecimals</text> context.
 
</p>
  
</p>
 
</td>
  
</td>
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<td style="background-color:#ffffdd;border:black 1px dashed;">
  
<td style="background-color:#ffffdd;border:black 1px dashed;">
 
<pre>
  
<pre>
−
Context("Fraction-NoDecimals");
 +
Context('Fraction-NoDecimals');
   
 
# Prevent pi from becoming 3.1415... and cos(pi) from
  
# Prevent pi from becoming 3.1415... and cos(pi) from
 
# becoming -1.
  
# becoming -1.
−
Context()->constants->set(pi => {keepName => 1});
+
Context()->constants->set(pi => {keepName => 1});
   
−
$f1 = Formula("cos(pi)");
  
  +
# The next context changes are not necessary to
−
$f2 = Formula("sin(pi/3)");
  
  +
# prevent cos(pi) from becoming -1, but they cannot hurt.
  +
Context()->flags->set(
  +
reduceConstants=>0,
  +
reduceConstantFunctions=>0
  +
);
   
−
Context()->functions->disable("All");
  
  +
$f1 = Formula('cos(pi)');
−
Context()->functions->enable("sqrt");
  
  +
$f2 = Formula('sin(pi/3)');
   
−
$answer1 = Compute("-1");
  
  +
Context()->functions->disable('All');
−
$answer2 = Compute("sqrt(3)/2");
  
  +
Context()->functions->enable('sqrt');
  +
  +
$answer1 = Compute('-1');
  +
$answer2 = Compute('sqrt(3)/2');
 
</pre>
  
</pre>
 
</td>
  
</td>
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<b>Setup:</b>
 
<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).
  
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>
  
</p>
 
</td>
  
</td>
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<td style="background-color:#ffdddd;border:black 1px dashed;">
  
<td style="background-color:#ffdddd;border:black 1px dashed;">
 
<pre>
  
<pre>
−
Context()->texStrings;
  
  +
BEGIN_PGML
−
BEGIN_TEXT
  
 
Enter your answers as simplified fractions.
  
Enter your answers as simplified fractions.
−
$BR
  
−
$BR
  
−
\( $f1 = \)
  
−
\{ ans_rule(20) \}
  
−
\{ AnswerFormatHelp("fractions") \}
  
−
$BR
  
−
$BR
  
−
\( $f2 = \)
  
−
\{ ans_rule(20) \}
  
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\{ 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 -->
  
  +
+ [` [$f1] = `] [_____________]{$answer1}
   
−
<tr valign="top">
  
  +
+ [` [$f2] = `] [_____________]{$answer2}
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<td style="background-color:#eeddff;border:black 1px dashed;">
  
−
<pre>
  
−
$showPartialCorrectAnswers = 1;
  
   
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ANS( $answer1->cmp() );
  
  +
[@ helpLink('fractions') @]*
−  
  +
END_PGML
−
ANS( $answer2->cmp() );
  
 
</pre>
  
</pre>
−
<td style="background-color:#eeccff;padding:7px;">
 +
<td style="background-color:#ffcccc;padding:7px;">
 
<p>
  
<p>
−
<b>Answer Evaluation:</b>
 +
<b>Main Text:</b>
 
</p>
  
</p>
 
</td>
  
</td>
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<td style="background-color:#ddddff;border:black 1px dashed;">
  
<td style="background-color:#ddddff;border:black 1px dashed;">
 
<pre>
  
<pre>
−
Context()->texStrings;
  
  +
BEGIN_PGML_SOLUTION
−
BEGIN_SOLUTION
  
  +
The cosine of an angle is zero when
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${PAR}SOLUTION:${PAR}
  
  +
the angle is an integer multiple of \( \pi \).
−
Solution explanation goes here.
  
  +
END_PGML_SOLUTION
−
END_SOLUTION
  
−
Context()->normalStrings;
  
−  
−
COMMENT('MathObject version.');
  
   
 
ENDDOCUMENT();
  
ENDDOCUMENT();

Latest revision as of 04:59, 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

Click to enlarge

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


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

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