Shoot event (F11)?

This is not possible in modern browsers other than a keyboard or mouse event.

In this case you can use this code to put it in full screen:

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script><buttonid="btn">Full screen.</button>
<div id="full" style="background-color: green;">Tela cheia</div>
<script>
$(function() {
  function requestFullScreen(element) {
    // Supports most browsers and their versions.
    var requestMethod = element.requestFullScreen || element.webkitRequestFullScreen || element.mozRequestFullScreen || element.msRequestFullscreen;

    if (requestMethod) { // Native full screen.
      requestMethod.call(element);
    } else if (typeof window.ActiveXObject !== "undefined") { // Older IE.
      var wscript = new ActiveXObject("WScript.Shell");
      if (wscript !== null) {
        wscript.SendKeys("{F11}");
      }
    }
  }

  var elem = $("#full")[0]; // Make the body go full screen.
  $("#btn").click(function() {
    requestFullScreen(elem);
  });
});
</script>

Original SOEN response