These apps are all awesome and ones that I frequently use! Many are also not free.
Music Apps that are maybe not free but you should strongly consider!
Tuners
- Tonal Energy
- Tempo+
- Hey Metronome
Theory
- NinGenius Classroom Edition
- Music Recources
- Fingerings
- Tenuto
- Theory Lessons
- Scales and Modes
- Tonally
- Music Theory with Audio
- Suggestor
- Music Tool (Great choice for scales on the projector)
Digital Sheet Music
- ForScore
- unrealBook
- GigBook
- Newzik
(Seriously… get all of them!)
Music Notation
- Notion (with the handwriting IAP)
- Notateme Now
- Music Scanner
- Music Jot
- Symphony Pro
- Flat.io
- NoteFlight (Not an app – use their website)
Music Recording
- GarageBand
- Cubasis 3
- MultiTrack Audio
- Ferrite
- AnyTune Pro+
- AudioShare
Music Performance
- KeyStage
- KB-1
- Roli’s Noise App
- Korg Module
- AudioKit Synth One
- AudioKit D1
- Animoog
- Model 15
- Model D
Getting it Done Apps
- Calendars 5 or Fantastical
- GoodTask
- iCloud / Dropbox / Box
- Trello (Great for collaboration with others – students)
MultiMedia Creation and Editing
- iMovie
- LumaFusion
- Pixelmator Pro
- Weebly
- WordPress
Grading and Assessing your students
- Google Classroom
- iDoceo
- SeeSaw
- Class Dojo
- FlipGrid
ipadmusiced.wordpress.com 
You might want to add Sheet Music Scanner – Score Player by David Zemsky
https://appsto.re/ca/eO8V0.i to your list. Unlike NotateMe with PhotoScore, it is actively developed. It is also much less expensive yet more accurate, at least in my experience. Another big plus is that it will import PDF and various image files in addition to using the camera. Much better accuracy working with a quality scan from a flatbed! MusicXML from it exports smoothly to Notion. I found it very recently when I discovered that NotateMe with PhotoScore just crashed when PhotoScore was selected from the menu – probably because NotateMe hasn’t been updated in 18 months, which puts it multiple iOS versions out of date.
Yes I do need to add that app. Thank you! I do find it interesting that PhotoScore was crashing for you as I still use that frequently. Which device and iOS were you using?
Hello, those are some awesome music apps that y’all recommended and I may give them a try myself. If you don’t mind me suggesting another app that I found that has audio and video to help with learning the piano. Its called Pianoforall and here is a link to their website https://bit.ly/2TZxmUN if you want to take a look at them.
Yeah I really need to update the list! Thanks for the suggestion!