Non-Flash Screen Recorder Currently, I use Jing on my Mac OSX with my team to make a short 5 minute screen recording (with optional voice record). Unfortunately, it doesn't save it in a format that can be viewed on iPads or iPhones because it is recorded in Flash. Is there a free screen recorder out there which does the same thing but stores it in webm format?

The problem with Googling for this is that I'm finding that there's a lot of malware for Mac popping up now. Where, if you install the application, it puts adware on your Mac as well.
As @Tetsujin mentioned in the comment use builtin QuickTime Player. Simply choose File -> New Screen Recording... or press ⌃ CTRL+⌘ CMD+n. You can record the whole screen or selected area.