JSFiddle - React, Tailwind, and code Playground
HTML
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/css/bootstrap.min.css">
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/js/bootstrap.min.js"></script>
<script src="https://code.jquery.com/jquery-1.11.3.min.js"></script>
<div class="col-md-6">
<div class="checkbox"><label><input type="checkbox" class="searchDomainCheckbox" id="domainCheckbox1">One</label></div>
</div>
<div class="panel panel-info" id="div1">
<div class="panel-heading"><h3 class="panel-title">Search These Divisions</h3></div>
<div class="panel-body">
THIS DIV SHOULD ONLY APPEAR WHEN "#domainCheckbox1" is checked, either when checked on its own, or checked when the "all domains" button checks it.
</div> <!-- /.panel-body -->
</div> <!-- /.panel -->
JavaScript
$('#div1').hide();
$('#domainCheckbox1').change(function(){
if($(this).prop("checked")) {
$('#div1').show();
} else {
$('#div1').hide();
}
});