ExpandedPolynomial1: Difference between revisions

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(switch to PGML and remove answerFormatHelp.pl macro)
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This PG code shows how to require students to expand polynomial multiplication.
This PG code shows how to require students to expand polynomial multiplication.
</p>
</p>
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg]
<!--* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1.pg] -->
* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg]
* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg FortLewis/Authoring/Templates/Algebra/ExpandedPolynomial1_PGML.pg]


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<tr valign="top">
<tr valign="top">
<th> PG problem file </th>
<th style="width: 50%"> PG problem file </th>
<th> Explanation </th>
<th> Explanation </th>
</tr>
</tr>
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DOCUMENT();
DOCUMENT();


loadMacros(
loadMacros('PGstandard.pl','MathObjects.pl','contextLimitedPolynomial.pl',
"PGstandard.pl",
  'AnswerFormatHelp.pl','PGML.pl','PGcourse.pl');
"MathObjects.pl",
"contextLimitedPolynomial.pl",
);


TEXT(beginproblem());  
TEXT(beginproblem());  
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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
The quadratic expression [` [$vertexform] `]
The quadratic expression \( $vertexform \)
is written in vertex form.  Write the
is written in vertex form.  Write the  
expression in expanded form [` ax^2 + bx + c `].
expression in expanded form  
 
\( ax^2 + bx + c \).
[_____________________]{$expandedform}
$BR
 
$BR
[@ helpLink('formulas') @]*
\{ ans_rule(30) \}
END_PGML
END_TEXT
Context()->normalStrings;
</pre>
</pre>
<td style="background-color:#ffcccc;padding:7px;">
<td style="background-color:#ffcccc;padding:7px;">
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</td>
</td>
</tr>
</tr>
<!-- Answer section -->
<tr valign="top">
<td style="background-color:#eeddff;border:black 1px dashed;">
<pre>
$showPartialCorrectAnswers = 1;
ANS( $expandedform->cmp() );
</pre>
<td style="background-color:#eeccff;padding:7px;">
<p>
<b>Answer Evaluation:</b>
</p>
</td>
</tr>


<!-- Solution section -->
<!-- Solution section -->
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<td style="background-color:#ddddff;border:black 1px dashed;">
<td style="background-color:#ddddff;border:black 1px dashed;">
<pre>
<pre>
 
BEGIN_PGML_SOLUTION
Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
Solution explanation goes here.
END_SOLUTION
END_PGML_SOLUTION
Context()->normalStrings;
 
COMMENT('MathObject version.');


ENDDOCUMENT();
ENDDOCUMENT();

Revision as of 14:44, 4 April 2023

Polynomial Multiplication (Expanding)

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This PG code shows how to require students to expand polynomial multiplication.


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging: 

DOCUMENT();

loadMacros('PGstandard.pl','MathObjects.pl','contextLimitedPolynomial.pl',
  'AnswerFormatHelp.pl','PGML.pl','PGcourse.pl');

TEXT(beginproblem());

Initialization: We must load contextLimitedPolynomial.pl 

#
#  Vertex form
#
Context("Numeric");
$h = 3;
$k = 5;
$vertexform = Compute("(x-$h)^2-$k");

#
#  Expanded form
#
Context("LimitedPolynomial-Strict");
$b = -2 * $h;
$c = $h**2 - $k;
$expandedform = Formula("x^2 + $b x + $c")->reduce();

Setup: The macro contextLimitedPolynomial.pl provides two contexts: 

Context("LimitedPolynomial");
Context("LimitedPolynomial-Strict");

The strict version does not allow any mathematical operations within coefficients, so (5+3)x must be simplified to 8x. For more details, see contextLimitedPolynomial.pl

We use the LimitedPolynomial-Strict context, construct the coefficients $b and $c as Perl reals, and then construct $expandedform using these pre-computed coefficients. This is because the LimitedPolynomial-Strict context balks at answers that are not already simplified completely. Notice that we called the ->reduce() method on the expanded form of the polynomial, which will ensure that the polynomial will be displayed as x^2 - 6x + 4 instead of x^2 + -6x + 4. 

BEGIN_PGML
The quadratic expression [` [$vertexform] `]
is written in vertex form.  Write the
expression in expanded form [` ax^2 + bx + c `].

[_____________________]{$expandedform}

[@ helpLink('formulas') @]*
END_PGML

Main Text: To help students understand how to format their answers, we give an example ax^2+bx+c of what the answer should look like. 

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution:

Templates by Subject Area

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