Difference between revisions of "MatchingStaticGraphs"

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−
<h2>Matching Problems That Have Static Graphic Images</h2>
  
  +
{{historical}}
  +
  +
<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Misc/MatchingGraphs.html a newer version of this problem]</p>
  +
  +
<h2>Matching Problems that have Graphic Images</h2>
  +
  +
<p>
  +
There are three different kinds of matching problems with static graphics given here.
  +
</p>
  +
<ul type="square">
  +
<li><b>Example 1:</b> (Recommended:) Matching functions and static graphs using imageChoice.</li>
  +
<li>(Old:) Matching functions and their graphs without imageChoice.</li>
  +
<li>(Old:) Matching graphs to other graphs without imageChoice.</li>
  +
</ul>
  +
<br />
   
 
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;">
  
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;">
−
<em>This code shows how to create a matching problem for functions and their graphs.
 +
<em><b>Example 1:</b> Matching functions and static graphs with imageChoice. This code shows how to create a matching problem for functions and their graphs using imageChoice.
 
Students input their answers using drop-down select lists (popup lists).
  
Students input their answers using drop-down select lists (popup lists).
  +
</em>
  +
</p>
  +
  +
<p style="text-align:center;">
  +
[[IndexOfProblemTechniques|Problem Techniques Index]]
  +
</p>
  +
<table cellspacing="0" cellpadding="2" border="0">
  +
<tr valign="top">
  +
<th> PG problem file </th>
  +
<th> Explanation </th>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ddffdd;border:black 1px dashed;">
  +
<pre>
  +
DOCUMENT();
  +
  +
loadMacros(
  +
"PGstandard.pl",
  +
"PGunion.pl",
  +
"imageChoice.pl",
  +
);
  +
  +
TEXT(beginproblem());
  +
$refreshCachedImages=1;
  +
</pre>
  +
</td>
  +
<td style="background-color:#ccffcc;padding:7px;">
  +
<p>
  +
<b>Initialization:</b>
  +
We need to include many macro files.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ffffdd;border:black 1px dashed;">
  +
<pre>
  +
@QA = (
  +
"\( f(x,y) = \displaystyle \frac{1}{x^2 + y^2} \)",
  +
"plot1.png",
  +
"\( f(x,y) = - y^2 \)",
  +
"plot2.png",
  +
"\( f(x,y) = x^3 - \sin(y) \)",
  +
"plot3.png",
  +
"\( f(x,y) = x + 2y + 3 \)",
  +
"plot4.png",
  +
"\( f(x,y) = - 4 e^{-x^2 - y^2} \)",
  +
"plot5.png",
  +
);
  +
  +
$ml = new_image_match_list(
  +
link => 1, # do not link to separate image
  +
size => [150,150], # image width, height in pixels
  +
tex_size => 310, # tex size in precent times 10
  +
columns => 3, # number of columns
  +
separation => 20, # space between images
  +
);
  +
  +
$ml->rf_print_q(~~&pop_up_list_print_q); # use pop-up-lists
  +
$ml -> ra_pop_up_list(
  +
[ No_answer=>"?", A=>"A", B=>"B", C=>"C", D=>"D", E=>"E" ] );
  +
  +
$ml->qa(@QA); # set the questions and answers
  +
$ml->choose(5); # select 5 of them
  +
#$ml->choose_extra(1); # and show the other 1
  +
</pre>
  +
</td>
  +
<td style="background-color:#ffffcc;padding:7px;">
  +
<p>
  +
<b>Setup:</b>
  +
This is probably the only section you need to modify.
  +
Create an array of questions (functions) and a corresponding
  +
array of images. You probably want six or fewer
  +
graphs to be displayed. Image files must be GIF or PNG and
  +
be located in the same directory as the pg file.
  +
</p>
  +
<p>
  +
You may need to add more strings ("F", "G", etc.) to the <code>ra_pop_up_list</code> if you have more than five graphs.
  +
</p>
  +
<p>
  +
For each PG problem with static images, you should put both the PG file and the image files into their own separate subdirectory. This subdirectory should be located somewhere under the course <code>templates</code> directory. The name of the subdirectory should be the same as the root name of the PG file, and there should be only one PG file in this subdirectory.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ffdddd;border:black 1px dashed;">
  +
<pre>
  +
BEGIN_TEXT
  +
Match each function with its graph. Click on a graph to make it larger.
  +
$BR
  +
\{$ml->print_q\}
  +
$BR
  +
\{$ml->print_a\}
  +
$BR
  +
END_TEXT
  +
</pre>
  +
<td style="background-color:#ffcccc;padding:7px;">
  +
<p>
  +
<b>Main Text:</b>
  +
Modify the instructions if you want.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#eeddff;border:black 1px dashed;">
  +
<pre>
  +
install_problem_grader(~~&std_problem_grader);
  +
$showPartialCorrectAnswers = 0;
  +
  +
ANS(str_cmp($ml->ra_correct_ans));
  +
  +
ENDDOCUMENT();
  +
</pre>
  +
<td style="background-color:#eeccff;padding:7px;">
  +
<p>
  +
<b>Answer Evaluation:</b>
  +
As expected.
  +
</p>
  +
</td>
  +
</tr>
  +
</table>
  +
  +
  +
  +
  +
  +
  +
  +
  +
  +
  +
  +
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;">
  +
<em><b>Matching functions and graphs without imageChoice:</b> This code shows how to create a matching problem for functions and their graphs without using imageChoice.
  +
Students input their answers using drop-down select lists (popup lists). This code is old, and some of its routines have been deprecated.
 
</em>
  
</em>
 
</p>
  
</p>
Line 25: Line 173:
 
"PGchoicemacros.pl",
  
"PGchoicemacros.pl",
 
"PGanswermacros.pl",
  
"PGanswermacros.pl",
  +
"PGcourse.pl",
 
);
  
);
 
</pre>
  
</pre>
Line 56: Line 205:
 
$k = $n; # $k can be less than $n
  
$k = $n; # $k can be less than $n
 
@subset = NchooseK($n,$k);
  
@subset = NchooseK($n,$k);
−
@numq = (1..$k);
  
−  
 
</pre>
  
</pre>
 
</td>
  
</td>
Line 83: Line 230:
   
 
BEGIN_TEXT
  
BEGIN_TEXT
−
$BEGIN_ONE_COLUMN
  
  +
−
Match each function with its graph. If you click on a graph, a larger graph will appear in a new window.
 +
Match each function with its graph. If you click on a graph,
  +
a larger graph will appear in a new window.
 
$BR$BR
  
$BR$BR
 
END_TEXT
  
END_TEXT
   
−
for $j (0..$k-1) {
 +
for $j (1..$k) {
 
BEGIN_TEXT
  
BEGIN_TEXT
−
@numq[$j].
+
$j.
 
\{ pop_up_list(['?', @captions]) \} $SPACE
 
\{ pop_up_list(['?', @captions]) \} $SPACE
−
@subset_of_questions[$j]
 +
@subset_of_questions[$j-1]
 
$BR$BR
  
$BR$BR
 
END_TEXT
  
END_TEXT
Line 98: Line 245:
   
 
BEGIN_TEXT
  
BEGIN_TEXT
  +
 
\{imageRow(~~@shuffled_subset_of_images,~~@captions)\}
  
\{imageRow(~~@shuffled_subset_of_images,~~@captions)\}
−
$END_ONE_COLUMN
  
  +
 
END_TEXT
  
END_TEXT
 
</pre>
  
</pre>
Line 111: Line 259:
 
<td style="background-color:#eeddff;border:black 1px dashed;">
  
<td style="background-color:#eeddff;border:black 1px dashed;">
 
<pre>
  
<pre>
  +
install_problem_grader(~~&std_problem_grader);
  +
 
$showPartialCorrectAnswers = 0;
  
$showPartialCorrectAnswers = 0;
   
Line 124: Line 274:
 
</tr>
  
</tr>
 
</table>
  
</table>
  +
  +
  +
  +
  +
  +
  +
  +
  +
  +
  +
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;">
  +
<em><b>Matching graphs and graphs without imageChoice:</b> This code shows how to create a matching problem for graphs and other graphs without using imageChoice.
  +
Students input their answers using drop-down select lists (popup lists). This code is old, and some of its routines have been deprecated.
  +
</em>
  +
</p>
  +
  +
  +
<table cellspacing="0" cellpadding="2" border="0">
  +
<tr valign="top">
  +
<th> PG problem file </th>
  +
<th> Explanation </th>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ddffdd;border:black 1px dashed;">
  +
<pre>
  +
DOCUMENT();
  +
  +
loadMacros(
  +
"PG.pl",
  +
"PGbasicmacros.pl",
  +
"PGchoicemacros.pl",
  +
"PGanswermacros.pl",
  +
"PGcourse.pl",
  +
);
  +
</pre>
  +
</td>
  +
<td style="background-color:#ccffcc;padding:7px;">
  +
<p>
  +
Initialization: We need to include the <code>PGchoicemacros.pl</code> macro file.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ffffdd;border:black 1px dashed;">
  +
<pre>
  +
@surfaces = (
  +
"Surface02.png",
  +
"Surface04.png",
  +
"Surface09.png",
  +
"Surface10.png",
  +
);
  +
  +
@contours = (
  +
"Contour02.png",
  +
"Contour04.png",
  +
"Contour09.png",
  +
"Contour10.png",
  +
);
  +
  +
$n = scalar(@surfaces);
  +
$k = $n; # $k can be less than $n
  +
@subset = NchooseK($n,$k);
  +
</pre>
  +
</td>
  +
<td style="background-color:#ffffcc;padding:7px;">
  +
<p>
  +
Set-up: This is probably the only section you need to modify.
  +
Create an array of surfaces and a corresponding
  +
array of contour plots. You could also do this for functions
  +
and their derivatives.
  +
Set the number of questions displayed, $k,
  +
manually if you like. You probably don't want more than five
  +
graphs to be displayed. Image files must be GIF or PNG and
  +
be located in the same directory as the pg file.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#ffdddd;border:black 1px dashed;">
  +
<pre>
  +
@subset_of_surfaces = @surfaces[@subset];
  +
@subset_of_contours = @contours[@subset];
  +
@permutation = NchooseK($k,$k);
  +
@shuffled_subset_of_contours = @subset_of_contours[@permutation];
  +
@numbercaptions = (1..$k);
  +
@alphacaptions = @ALPHABET[0..$k-1];
  +
  +
TEXT(beginproblem());
  +
  +
BEGIN_TEXT
  +
  +
Match each graph with its contour plot. If you click on a graph,
  +
a larger graph will appear in a new window. Green contours represent
  +
lower elevations, and red contours represent higher elevations.
  +
In the contour plots, the x-axis is horizontal and the y-axis is
  +
vertical, as usual.
  +
$BR$BR
  +
END_TEXT
  +
  +
for $j (1..$k) {
  +
BEGIN_TEXT
  +
$j. \{ pop_up_list(['?', @alphacaptions]) \}
  +
$SPACE$SPACE$SPACE$SPACE$SPACE
  +
END_TEXT
  +
}
  +
  +
BEGIN_TEXT
  +
\{imageRow(~~@subset_of_surfaces,~~@numbercaptions)\}
  +
\{imageRow(~~@shuffled_subset_of_contours,~~@alphacaptions)\}
  +
END_TEXT
  +
</pre>
  +
<td style="background-color:#ffcccc;padding:7px;">
  +
<p>
  +
Main Text: You may modify the instructions if you want.
  +
We display the popup lists on a single line so that they
  +
are visually arranged in the same way as the graphs.
  +
</p>
  +
</td>
  +
</tr>
  +
<tr valign="top">
  +
<td style="background-color:#eeddff;border:black 1px dashed;">
  +
<pre>
  +
install_problem_grader(~~&std_problem_grader);
  +
  +
$showPartialCorrectAnswers = 0;
  +
  +
ANS(str_cmp([@ALPHABET[invert(@permutation)]]));
  +
  +
ENDDOCUMENT();
  +
</pre>
  +
<td style="background-color:#eeccff;padding:7px;">
  +
<p>
  +
Answer Evaluation: You should not need to modify this section at all.
  +
</p>
  +
</td>
  +
</tr>
  +
</table>
  +
   
 
<p style="text-align:center;">
  
<p style="text-align:center;">

Latest revision as of 09:02, 16 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

Matching Problems that have Graphic Images

There are three different kinds of matching problems with static graphics given here.

  • Example 1: (Recommended:) Matching functions and static graphs using imageChoice.
  • (Old:) Matching functions and their graphs without imageChoice.
  • (Old:) Matching graphs to other graphs without imageChoice.


Example 1: Matching functions and static graphs with imageChoice. This code shows how to create a matching problem for functions and their graphs using imageChoice. Students input their answers using drop-down select lists (popup lists).

Problem Techniques Index

PG problem file Explanation 
DOCUMENT();

loadMacros(
"PGstandard.pl",
"PGunion.pl",
"imageChoice.pl",
);

TEXT(beginproblem());
$refreshCachedImages=1;

Initialization: We need to include many macro files. 

@QA = (
"\( f(x,y) = \displaystyle \frac{1}{x^2 + y^2} \)", 
"plot1.png", 
"\( f(x,y) = - y^2 \)", 
"plot2.png",
"\( f(x,y) = x^3 - \sin(y) \)", 
"plot3.png",
"\( f(x,y) = x + 2y + 3 \)", 
"plot4.png",
"\( f(x,y) = - 4 e^{-x^2 - y^2} \)", 
"plot5.png",
);

$ml = new_image_match_list(
  link => 1,                #  do not link to separate image
  size => [150,150],        #  image width, height in pixels
  tex_size => 310,          #  tex size in precent times 10
  columns => 3,             #  number of columns
  separation => 20,         #  space between images
);

$ml->rf_print_q(~~&pop_up_list_print_q); # use pop-up-lists
$ml -> ra_pop_up_list(
[ No_answer=>"?", A=>"A", B=>"B", C=>"C", D=>"D", E=>"E" ] );

$ml->qa(@QA);               #  set the questions and answers
$ml->choose(5);             #  select 5 of them
#$ml->choose_extra(1);      #  and show the other 1

Setup: This is probably the only section you need to modify. Create an array of questions (functions) and a corresponding array of images. You probably want six or fewer graphs to be displayed. Image files must be GIF or PNG and be located in the same directory as the pg file.

You may need to add more strings ("F", "G", etc.) to the ra_pop_up_list if you have more than five graphs.

For each PG problem with static images, you should put both the PG file and the image files into their own separate subdirectory. This subdirectory should be located somewhere under the course templates directory. The name of the subdirectory should be the same as the root name of the PG file, and there should be only one PG file in this subdirectory. 

BEGIN_TEXT
Match each function with its graph.  Click on a graph to make it larger.
$BR
\{$ml->print_q\}
$BR
\{$ml->print_a\}
$BR
END_TEXT

Main Text: Modify the instructions if you want. 

install_problem_grader(~~&std_problem_grader);
$showPartialCorrectAnswers = 0;

ANS(str_cmp($ml->ra_correct_ans));

ENDDOCUMENT();

Answer Evaluation: As expected.






Matching functions and graphs without imageChoice: This code shows how to create a matching problem for functions and their graphs without using imageChoice. Students input their answers using drop-down select lists (popup lists). This code is old, and some of its routines have been deprecated.

Problem Techniques Index

PG problem file Explanation 
DOCUMENT();

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGcourse.pl",
);

Initialization: We need to include the PGchoicemacros.pl macro file. 

@questions = (
"\( f(x,y) = \displaystyle \frac{1}{x^2 + y^2} \)",
"\( f(x,y) = - y^2 \)",
"\( f(x,y) = x^3 - \sin(y) \)",
"\( f(x,y) = x + 2y + 3 \)",
"\( f(x,y) = - e^{-x^2 - y^2} \)",
);

@images = (
"12-2-9a.gif",
"12-2-9b.gif",
"12-2-9c.gif",
"12-2-9d.gif",
"12-2-9e.gif",
);

$n = scalar(@questions);
$k = $n; # $k can be less than $n
@subset = NchooseK($n,$k);

Set-up: This is probably the only section you need to modify. Create an array of questions (functions) and a corresponding array of images. Set the number of questions displayed, $k, manually if you like. You probably don't want more than five graphs to be displayed. Image files must be GIF or PNG and be located in the same directory as the pg file. 

@subset_of_questions = @questions[@subset];
@subset_of_images = @images[@subset];
@permutation = NchooseK($k,$k);
@shuffled_subset_of_images = @subset_of_images[@permutation];
@captions = @ALPHABET[0..$k-1];

TEXT(beginproblem());

BEGIN_TEXT

Match each function with its graph.  If you click on a graph, 
a larger graph will appear in a new window.
$BR$BR
END_TEXT

for $j (1..$k) {
BEGIN_TEXT
$j.  
\{ pop_up_list(['?', @captions]) \} $SPACE 
@subset_of_questions[$j-1]
$BR$BR
END_TEXT
}

BEGIN_TEXT

\{imageRow(~~@shuffled_subset_of_images,~~@captions)\}

END_TEXT

Main Text: You may modify the instructions if you want. 

install_problem_grader(~~&std_problem_grader);

$showPartialCorrectAnswers = 0;

ANS(str_cmp([@ALPHABET[invert(@permutation)]]));

ENDDOCUMENT();

Answer Evaluation: You should not need to modify this section at all.






Matching graphs and graphs without imageChoice: This code shows how to create a matching problem for graphs and other graphs without using imageChoice. Students input their answers using drop-down select lists (popup lists). This code is old, and some of its routines have been deprecated.


PG problem file Explanation 
DOCUMENT();

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGcourse.pl",
);

Initialization: We need to include the PGchoicemacros.pl macro file. 

@surfaces = (
"Surface02.png",
"Surface04.png",
"Surface09.png",
"Surface10.png",
);

@contours = (
"Contour02.png",
"Contour04.png",
"Contour09.png",
"Contour10.png",
);

$n = scalar(@surfaces);
$k = $n; # $k can be less than $n
@subset = NchooseK($n,$k);

Set-up: This is probably the only section you need to modify. Create an array of surfaces and a corresponding array of contour plots. You could also do this for functions and their derivatives. Set the number of questions displayed, $k, manually if you like. You probably don't want more than five graphs to be displayed. Image files must be GIF or PNG and be located in the same directory as the pg file. 

@subset_of_surfaces = @surfaces[@subset];
@subset_of_contours = @contours[@subset];
@permutation = NchooseK($k,$k);
@shuffled_subset_of_contours = @subset_of_contours[@permutation];
@numbercaptions = (1..$k);
@alphacaptions = @ALPHABET[0..$k-1];

TEXT(beginproblem());

BEGIN_TEXT

Match each graph with its contour plot.  If you click on a graph, 
a larger graph will appear in a new window.  Green contours represent
lower elevations, and red contours represent higher elevations.
In the contour plots, the x-axis is horizontal and the y-axis is
vertical, as usual.
$BR$BR
END_TEXT

for $j (1..$k) {
BEGIN_TEXT
$j. \{ pop_up_list(['?', @alphacaptions]) \} 
$SPACE$SPACE$SPACE$SPACE$SPACE
END_TEXT
}

BEGIN_TEXT
\{imageRow(~~@subset_of_surfaces,~~@numbercaptions)\}
\{imageRow(~~@shuffled_subset_of_contours,~~@alphacaptions)\}
END_TEXT

Main Text: You may modify the instructions if you want. We display the popup lists on a single line so that they are visually arranged in the same way as the graphs. 

install_problem_grader(~~&std_problem_grader);

$showPartialCorrectAnswers = 0;

ANS(str_cmp([@ALPHABET[invert(@permutation)]]));

ENDDOCUMENT();

Answer Evaluation: You should not need to modify this section at all.


Problem Techniques Index

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