Not sure about my instructor?

So I have enrolled for private swimming lessons last week where I pay £25 per 30 min session. It was ok but since I have been watching youtube videos, I noticed that the first thing they teach is floating on front and back. However, my instructor had me on a noodle to kick around the pool where she was holding the noodle and I was on top. Then she left me alone on the noodle where I kicked around the pool and she was next to me following. She said on the next session, she is planning for me to do breastroke without the noodle as we practiced the leg and arm kick on the noodle. Should I not be learning to learn to float on my front and back before doing the breastroke? I have been watching youtube videos and thats the first thing they teach students before progressing to strokes. Also she didnt mention anything to hold my breath when swimming or floating and I think that is left out too. I have also discovered that you need air in your lungs to do any stroke and to stay on the surface of the water, am I right? she made me do dog paddle and my body was below the surface nearly sinking and struggled to stay up. I am just concerned if I am with the wrong instructor, please help.

Trust your got instinct - £25 per 30 min session is expensive. I mean looking at this thing I googled. It seems you are being ripped off
https://gaytonpool.org.uk/lessons-classes/prices/
‘£37.50 (for 5 lessons/30 mins)’

So I have enrolled for private swimming lessons last week where I pay £25 per 30 min session. It was ok but since I have been watching youtube videos, I noticed that the first thing they teach is floating on front and back. However, my instructor had me on a noodle to kick around the pool where she was holding the noodle and I was on top. Then she left me alone on the noodle where I kicked around the pool and she was next to me following. She said on the next session, she is planning for me to do breastroke without the noodle as we practiced the leg and arm kick on the noodle. Should I not be learning to learn to float on my front and back before doing the breastroke? I have been watching youtube videos and thats the first thing they teach students before progressing to strokes. Also she didnt mention anything to hold my breath when swimming or floating and I think that is left out too. I have also discovered that you need air in your lungs to do any stroke and to stay on the surface of the water, am I right? she made me do dog paddle and my body was below the surface nearly sinking and struggled to stay up. I am just concerned if I am with the wrong instructor, please help.

That is extraordinarily pricey so you have every right to expect a high standard of coaching. If you feel that the instructor is not doing a great job, let them know of some of the things that you are concerned about, and if you don't see any improvement then I highly suggest that you switch instructors.

Exactly! She just said that I am really good and picking things well. I was expecting to do at least floating on my own before going to learning the strokes.

Yeah, of course you know whether you're learning best, but it does seem that you're not receiving the quality of service that you're paying for. I would complete the 3 sessions then decide whether or not you'd like to change instructors.

£25 for 30 mins, you’re joking?! By the time you get into the pool and do a warm up it’s almost half the session gone, it shouldn’t be that expensive!!

Well it depends what level you are. If you’re a complete beginner then yes, you should be taught how to float face down and face up, and also things like treading water to stay afloat vertically. You should also be working on your arm strokes and leg kicking separately as they both require quite a bit of refinement before they can effectively work together. Breaststroke is one of the most difficult strokes in regards to timing, leg work and arm strokes too so it seems bizarre to make you do that so early on…

No joke! I am a complete beginner so I thought the money spent would be beneficial in getting quality lessons. I have not done face up or down floating neither treading. Basically straight to breastroke with the noodle after doing some flutter kicks and blowing bubbles.

So I have enrolled for private swimming lessons last week where I pay £25 per 30 min session. It was ok but since I have been watching youtube videos, I noticed that the first thing they teach is floating on front and back. However, my instructor had me on a noodle to kick around the pool where she was holding the noodle and I was on top. Then she left me alone on the noodle where I kicked around the pool and she was next to me following. She said on the next session, she is planning for me to do breastroke without the noodle as we practiced the leg and arm kick on the noodle. Should I not be learning to learn to float on my front and back before doing the breastroke? I have been watching youtube videos and thats the first thing they teach students before progressing to strokes. Also she didnt mention anything to hold my breath when swimming or floating and I think that is left out too. I have also discovered that you need air in your lungs to do any stroke and to stay on the surface of the water, am I right? she made me do dog paddle and my body was below the surface nearly sinking and struggled to stay up. I am just concerned if I am with the wrong instructor, please help.