Inherit $scope and vm(this) angularjs

Question

I have a base controller and controllers that I would like to inherit the base controllers variable and functions. But I'm have trouble inhering 'vm' varand the functions.

How do I pass the vm for the other controllers to

BaseController.js

angular
  .module('app')
  .controller('Base', function($scope){
     var vm = this;

     $scope.test1 = "this is a test";
     vm.test2 = 'this is a second test";     
   });

FirstController.js

angular
  .modlue('app')
  .controller('firstCtrl', function($scope, $controller){
    $controller('Base', { $scope: $scope });
    console.log($scope);
  });