Tables

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Topic Name: Using Tables

This code snippet shows the essential PG code to display tables of data (or answer blanks, etc.). Note that these are insertions, not a complete PG file. This code will have to be incorporated into the problem file on which you are working.

Problem Techniques Index

The simplest way of putting a table in the problem is just to embed it in the text of the problem using the begintable, row, and endtable commands, as shown below. It is also possible to use these to define variables that are used in the text; this is shown in the second example, below.

PG problem file Explanation
BEGIN_TEXT
Fill in the table of values for \(f(x) = x^2\).
$BCENTER
\{ begintable(4) \}
\{ row( "\(x = \)", "0", "1", "2" ) \}
\{ row( "\(f(x) = \)", ans_rule(5), ans_rule(5),
        ans_rule(5) ) \}
\{ endtable() \}
$ECENTER
END_TEXT

The begintable, row, and endtable commands are all predefined in the PG language, so we just need to use them here. Because these are defined perl functions, we need to use the \{ \} constructs to execute them in the text section of the PG file.

Also note that, perhaps obviously, the begintable takes as its argument the number of columns in the table, and the row command takes a list of strings to put in the data elements in the row. In this example, we use the ans_rule function to put an answer blank in some table elements.

We can also define as much of the table as we like in the problem set-up section of the problem file, as well, as suggested by the following example.

PG problem file Explanation
# we'll work with the function f(x) = x^2 + a
$a = random(2,5,1);

# the table data
$table_start = begintable(4);
$table_row1  = row( "\(x =\)", "0", "1", "2" );
$table_row2  = row( "\(f(x)\) =", ans_rule(5),
    ans_rule(5), ans_rule(5) );
$table_end   = endtable();

# these are the actual function values at the
#    points
@fvals = ();
foreach my $i ( 0, 1, 2 ) {
    push( @fvals, Compute("$i^2 + $a") );
}

In this example, we define the start of the table and the values in the table rows as variables that we can then use in the text section of the problem. We also define the function values at the points we're asking the student to compute.

BEGIN_TEXT
If \(f(x) = x^2 + $a\), fill in values of 
\(f(x)\) as indicated in the table below.
$BCENTER
$table_start
$table_row1
$table_row2
$table_end
$ECENTER

Then we put the table into the text section.

foreach my $fv ( @fvals ) {
    ANS( $fv->cmp() );
}

And, given a list of answers, we can automate the insertion of answer checkers. Of course, with only three of them it would be faster to just put them in a list:

  ANS( $fvals[0]->cmp() );
  ANS( $fvals[1]->cmp() );
  ANS( $fvals[2]->cmp() );

instead of using the loop.

Problem Techniques Index