Select Settings
You should already be on 1) General, now select 2) Software Update
Now you'll either see an update, and be given an option to download and install (follow the prompts) or you will see a screen that looks like this.....(in which case you're all good) see the next step when you're finished
Next you'll want to check your app updates....go to the Apple App Store
Scroll to the bottom of the page and select "Updates"
Now you should see a screen of past updates, and any current updates if available. If all your apps are updated, you will only see "open" buttons like this (otherwise they will say "update")...
Note: If an app you're using is from the School District of Waukesha (paid apps like Notability, Book Creator, etc) you will need to make sure you update it through the Self Service app on the home screen. (To do this, just tap on the app in Self Service and tap "reinstall")