The iOS 7 iPad Overview video was a helpful starting point. Good reminders about simply scrolling from the bottom for Quick Controls access and top of the screen for calendar information. Double-tapping the Home button offers up the ability to see all open applications.
I also spent some time poking around online and gathering tips from other iPad users. Simple things like splitting the keyboard, inverting screen colors, accessing the camera from a locked screen, swiping from the left of the screen to go back a page, and taking a picture of the screen by holding down the Power and Home buttons at the same time are just a few things I can do to work smarter.