How to turn off shuffle in Apple Music on iPhone iOS 10.1.1?
It is somewhat hidden, but here's how to find the controls.

Start by tapping the bar at the bottom where you see the album art, currently playing song and play/pause and next song controls.



You get a sheet overlay which seems to end at the bottom of the screen, but if you scroll this down (drag up on the screen) you find the controls for shuffle and repeat.




Screenshots are from an iPhone 7, but I'd expect the controls to be positioned similarly on the Plus.

EDIT: In the updated iOS 10.2, the look of the controls have changed somewhat, and a hint showed up the first time I started playing music that the controls were available if I scrolled down.