When things start acting a bit weird, it's a good idea to completely shut the iPad off and restart. You should probably do this at least once a week (my unsupported opinion on frequency.)
Just hold down the power button for about three seconds. You'll get a power off slider. Go ahead and slide it off. Wait until the iPad completely shuts down and then restart it by holding down the power button for about three seconds again.
For more serious problems, when shutting it off doesn't work, you can do a soft reset. Hold down the power and home button until the Apple logo appears, about 10 to 15 seconds. Let go and wait for it to reboot. This will take a few minutes, so be patient.