To a large skillet over medium-high heat, add the ground beef and brown until it is cooked through. Remove any grease from the pan. Add the beef to the slow cooker. Add in all the remaining ingredients except for the cheese and the pasta.
Stir well and cook on LOW for 6 hours or HIGH for 4 hours. After the cooking time elapses, stir in the cheese and the dry pasta. Cook on high for 30 minutes, checking every 15 minutes and stirring until the pasta is tender.