React router and this.props.children - how to pass state to this.props.children

I'm using React-router for the first time and I don't know how to think in it yet. Here's how i'm loading my components in nested routes.

entry point .js

ReactDOM.render(
    <Router history={hashHistory} >
        <Route path="/" component={App}>
            <Route path="models" component={Content}>
        </Route>
    </Router>, 
    document.getElementById('app')
);

App.js

  render: function() {
    return (
      <div>
        <Header />
        {this.props.children}
      </div>
    );
  }

So the child of my App is the Content component I sent in. I'm using Flux and my App.js has the state and listens for changes, but I don't know how to pass that state down to this.props.children. Before using react-router my App.js defines all children explicitly, so passing state was natural but I don't see how to do it now.