Basic React Babel ES6 Fiddle

HTML

<script src="https://fb.me/react-dom-0.14.3.js"></script>
<div id="root"></div>

Babel + JSX

const navbarValue = [{"Category":"Home"},{"Category":"Sport"},{"Category":"Technologia"}];
	var obiekt = [{"Zdjecie":"http://i.imgur.com/A83qNiV.jpg"},{"Zdjecie":"http://i.imgur.com/wwOoOIc.png"}];
class Strona extends React.Component {
 constructor() {
    super();
    this.state = {
      id: 0,
      isArticleListPage : true,
	    isArticlePage : false
    };
    this.handleClick = this.handleClick.bind(this);
  }
  handleClick(id, event) {
  console.log("clicked", event, id);
    console.log(id);

    this.setState({
       id: event.target.id,
      isArticleListPage : false,
	  isArticlePage : true
	   
    });
	}
	  articlepage(){
    return(
      <div>
	  	<div className="navbar-wrapper">
	<div className="container">
	<nav className="navbar navbar-fixed-static-top navbar-inverse">
	<div className="container">
	<div className="navbar-header">
	<button type="button" className="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false" aria-controls="navbar">
    <span className="sr-only">Toggle navigation</span>
		<span className="icon-bar"></span>
		<span className="icon-bar"></span>
		<span className="icon-bar"></span>
	</button>
	<a className="navbar-brand" href="">Back</a>
	</div>
	<div id="navbar" className="collapse navbar-collapse">
		<ul className="nav navbar-nav">
		{navbarValue.map((obj, index) => {
			if (index == this.state.id) 
			return <li className="active" key={index}><a   id={index} onClick={this.onClick}>{obj.Category}</a></li>
		  return <li  key={index}><a  id={index} onClick={this.onClick}>{obj.Category} </a></li>
})}
</ul>
	</div>
	</div>
	</nav>
	</div>
	</div>
		<div className="container">
	<div id="carousel-example-generic" className="carousel slide" data-ride="carousel" data-interval="3000">
	<div className="carousel-inner" role="listbox">
	<div className="item active">
	  {obiekt.map((obj, index) =>{
				if(index == this.state.id) return <img src= {obj.Zdjecie} alt="" key= {index}/>
		})}
	  <div...