AngularJS Example:

HTML

<link rel="stylesheet" href="http://twitter.github.com/bootstrap/assets/css/bootstrap.css">
<script src="http://cdnjs.cloudflare.com/ajax/libs/jquery/2.1.3/jquery.min.js"></script>
<div ng-app>
  <div ng-controller="mainCtrl">
   <div id="targetID"></div>
  </div>
</div>

JavaScript

function mainCtrl($compile) {
this.newPad = '<button class="padbtn" data-ng-click="playBeat(smpBeat,C1)"><img class="padImg" src="/api/getImg/554240a17b221e1a2ffda099" style="width:175px; height 175px;"/><br/>Clap</button>';
                var padElement = $compile(newPad)($scope);
           $('#targetID').append(padElement);
    $scope.playBeat = function(arg1, arg2){
     alert('clicked');
    };
}