I am sorry you are getting so much 'hastle' on this thread and can honestly say I know where you are coming from.
My dd like yours was one of the older ones (Sept.), when she started school she knew all her letter sounds and could read and spell simple three letter words - cat, bat, dog, pig, hat etc etc., however her reception class was chaotic (the head later admitted the children were 'rampaging'), lots of play (a per the EYFS), but she and a lot of the others, needed more structure. Like your dd, my dd, started to get frustrated (maybe bored isn't exactly what she means, but is trying to express she needs more structure or 'doing' stuff). My dd used to say she didn't like school and that she learnt much more at home etc. etc., I just dismissed it - she used to also 'worry' about the behaviour of the other children. The end result was my dd started to switch off and half way through reception, her keeness to learn disappeared, she literally changed, stopped putting her hand up (because she was never chosen) and started to daydream.
By Year 1, the whole class was behind, my dd couldn't read anymore than when she started school. None of them could sit quietly and listen. The excellent Yr1 teacher picked up on the reading and put her on a special scheme - because she was older and very articulate, the teacher couldn't understand why she hadn't progressed. Within a few weeks she was well ahead of what was expected at her age and there was no reason she hadn't started to read, other than she had literally 'zoned out'. Five other children were also put on the scheme, although didn't do as well as ours. I know all this because the head was very honest and open with me about the situation the year group had been in.
End of Year 1, dd was average, but very demotivated and uninterested in school, a different child to that which had started school, keen and eager to learn, as she had been a nursery. At the start of Yr2, we took the decision to move her early to a private school (we had planned this at Yr3, depending on how she was doing).
The difference is astounding, she is now so keen to learn, she wants to get the top in spellings, does her homework without a fuss. Literally can't wait to get to school. This is the child I had who started school, who in fact I had lost along the way. To be honest, I had forgotten how tenacious she used to be before she started school. All this has a knock on effect in other parts of her life - where she really tries much harder and concentrates so much more.
A long post, but the reason I wanted to tell you this, is that you have to go with your instinct, your are obviously worried, your dd is giving you indications that all is not what she was expecting - I only wish we had listened to our dd and went with our gut feelings, when she was in reception.
Take action now, sort it with the teacher and move her if you have to, our dd hasn't come to any harm in the long run, but the difference in her now as to part way through reception and Yr1 is so great, she must have been very unhappy, although she never expressed this as such and outwardly all appeared OK.
Best of luck, but please go with your gut feelings.
P.S, Our school does do different levels of work with the class, there are only 16, so they can easily do this and a lot of the homework will be structured to the individual child. I hadn't realised this when we started, but it is very impressive that they will work and be taken out to work at a higher or lower level and very reassuring.