Update variables inside jQuery $ (document) .ready () database?

Question

I am trying to find a way to minimize the number of Selector queries. My problem is that I have a variable defined with the base $ (document) .ready (), which needs to be updated inside the functions nested inside $ (document) .ready ()

Consider this example (EDIT: I updated it to become more explanatory)

<script>

//var $current_page = $home_page;  **<--I DONT want to do this, going global
                                        and of course it doesn't work since
                                        $home_page isn't defined yet.**

$(document).ready(function() {
  var $home_page = $("#home-page");
  var $portfolio_page = $("#portfolio-page");
  var $about_page = $("#about-page");
  var $current_page = $home_page;  // **<--This variable, in this scope level,
                                   //      is what I want updated**

  $("#home-btn").click(function () {
   $current_page.stop()
   $current_page.show()
   $current_page.animate({
    duration: 360, 
    easing: 'easeInCirc',
    complete: function() {
        $(this).css({ top: -700 });
    }

   ); 

   $current_page = $home_page;
  });

   $("#portfolio-btn").click(function () {
       $current_page.stop()
       $current_page.show()
       $current_page.animate({
         duration: 360, 
         easing: 'easeInCirc',
         complete: function() {
             $(this).css({ top: -700 });
         }

   ); 

   $current_page = $portfolio_page; //<--This needs to somehow update the
                                    //   variable in the $(document).ready
                                    //   scope, but not global**
  });
 });
 <script>

How can I update the variable $ current_page without making it a global variable?

EDIT: This is done to animate the current section of the page when you click on a menu item. Yes, it lacks things, yes, it may not make sense. This is just an example, not an actual application.

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Answer 1

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-, - $current_page , .

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$home_page, $portfolio_page $about_page - () , , .

Answer 2

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  . click-handler $current_page.

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