Learn to LTI
This is an LTI tool that can help you do just that. It will gradually build up your knowledge of the LTIs using a series of cutting-edge form elements and HTTP verbs. You should stick this in your learning platform and get all kinds of smart.
If you want to add this app to your course you'll need to login using your Twitters to get a key and shared secret to use in your course. Copy this XML link and pick "By URL" as the configuration type to quickly set it up!
Learn to LTI is open source and free. Run it yourself if you like. If you don't like it, patches are welcome.