Edit in JSFiddle

$(document).ready(function() {
  var perPage = $(".repeating-box");
  for (var i = 0; i < perPage.length; i += 2) {
    perPage.slice(i, i + 2).wrapAll('<div class="pageGroup"></div>'); 
    /* The above line Wraps "repeating-box" div's in twos */
  }
  
  $('.pageGroup:not(:first-of-type)').hide(); // Hide all but the first group
  $('#paginator-nav ul li').click(function() { // When #paginator-nav ul li is clicked do the following
    $('.pageGroup:visible').hide(); // Hide the vissible group
    $('.pageGroup').eq($(this).index()).show('slow'); // Show the corresponding group to the clicked link
  });
});
<div id="paginator-plate">

  <div class="repeating-box">One</div>
  <div class="repeating-box">Two</div>
  <div class="repeating-box">Three</div>
  <div class="repeating-box">Four</div>
  <div class="repeating-box">Five</div>
  <div class="repeating-box">Six</div>
  <div class="repeating-box">Seven</div>
  <div class="repeating-box">Eight</div>
  <div class="repeating-box">Nine</div>
  <div class="repeating-box">Ten</div>
</div><!-- End Paginator Plate -->

<div id="paginator-nav">
  <ul>
    <li>1</li>
    <li>2</li>
    <li>3</li>


  </ul>
</div>
#paginator-plate  {
  width: 200px;
  height: 130px;
  position: relative;
  margin: 0 auto;
}

#paginator-nav {
  width: 100%;
  height: auto;
  text-align: center;
  margin: 0 auto;
}

.repeating-box {
  font-size: 36px;
  font-weight: bold;
  color: green;
  width: 150px;
  height: 50px;
  background: green;
  color: white;
  text-align: center;
   margin: 0 auto;
}

#paginator-nav ul {
    display: inline-block;
    text-align: center;
    width: 100%;
    margin: 0 auto;
    padding: 0;
}

#paginator-nav ul li {
  width: 35px;
  height: 35px;
  margin: 0 10px 0 10px;
  border: 1px solid #2980b9;
  -webkit-border-radius: 50%;
  -moz-border-radius: 50%;
  border-radius: 50%;
  color: green;
  cursor: pointer;
  display: inline-block;
  font-size: 24px;
  line-height: 35px;
  font-weight: bold;
}

.pageGroup {
   position: absolute;
}