Calling a PHP function with parameters form URL via Ajax

Please have a look at the following code

....The Javascript code in ctp file...

<script type="text/javascript">
$(document).ready(function(){


   $( ".btn-danger" ).click(function(){
        console.log("Red Button");
        var toclose = $(this).parent().parent();
        $.ajax({
          url: "../img/media.jpg",
        }).done(function() {
            console.log( "The act has been done");
            toclose.toggle();
          });
   }); 


   $( ".btn-success" ).click(function(){
      console.log("Red Button");
      idOfButton = $(this).attr('id');
      var toclose = $(this).parent().parent();
      $.ajax({
        url: "../img/media.jpg",
      }).done(function() {
          increment(idOfButton);
            alert(idOfButton);
      console.log( "The act has been done");
          toclose.toggle();
      });
 }); 

  $( ".xy" ).click(function(){

    $(this).find("#enside1").toggle();
    $(this).find("#ptside1").toggle();
    console.log(this);
  });

      function xxx(id)
  {
      alert(id);
  }

  function increment(uniqueWord)
  {
      $.ajax({
          url: "http://localhost/cake2/flip2/correct",
                  data: {word: uniqueWord}

        }).done(function() {
            console.log( "The act has been done");
            toclose.toggle();
          });

    }

});


</script>

Please consider this function

function increment(uniqueWord)
  {
      $.ajax({
          url: "http://localhost/cake2/flip2/correct",
                  data: {word: uniqueWord}

        }).done(function() {
            console.log( "The act has been done");
            toclose.toggle();
          });

    }

Here I am trying to call a method in a PHP file. That method contains a parameter.

public function correct($word)
        {
            $this->Flip2->correctAnswer(89,$word);

        }

However there is an issue in passing the parameter values to the PHP method. It simply do not work. If I remove the parameters from "all" the places and just call the url: "http://localhost/cake2/flip2/correct", this works fine. What I have done wrong when passing the values to the PHP method via the Ajax call?