There's not a proper way to show related activity and course information.
We should replace the Open in browser icon and replace it with a nice information one that opens a popup menu with the info we would like to provide.
Some examples can be:

• Activity description
• Link to open in browser
• We can add grades here
• Cached content: Prefetch status/action and last update information.
• Content size.

Attached you can find a mockup for the whole purpose.

I also think this should have automatic behaviour (providing default info if available) and then every module should provide info to extend it.