Teacher here. K and previously 1, and 2nd. Also parent of a first grader.
I would like to begin by saying that I understand your frustration. However, it seems to me all but one of your issues could be a district/school/publisher issue, not a teacher issue.
Many of the things that parents dislike in our school are district mandates (like the fact that we have to teach our kinders how to bubble in answers so that they can take the publishers math tests three times a year-which is a waste of time and has no hands-on component which is essential in the primary grades.) Agreed. And this particular math test is a district benchmark formatted after the state's standardized test.
It sounds like your child is struggling, and you are not very receptive to hearing it. With the issues/scores you have listed, your child would be in intervention by the second week of Oct. in our district. Our progress report grades/scores are done by computer. We input the scores, and a progress report, based on district expectations, is generated. If our first grade teacher put in a 3 now, that child would be considered "below standards" by the "computer" and it would reflect so on the progress report. If a child is "below standards" they are put into intervention. This progress report was not done by computer. It was also given out in mid-september, and the testing for the report was done the second week of school. DS is now at least a "4" b/c he is bringing home books that are supposed to be level 4s, and she sends home their independent reading level, meaning that she is instructing currently on a 6.
A 3 is fine the first few weeks of school, but by Oct. it is below grade level. Even though your child met the standard, on the low end, he/she is no longer meeting it because expectations rose. A 6 by Oct is not unusual being that they need to be somewhere between a 14-18 by the end of the year in most districts. Once again, the progress report came out in mid-september.
Finally, the books can vary in a single level. I have easy 3's and hard 3's. It is not the teacher who levels the books, but the company. It is just different as the Fancy Nancy beginner books being level 1, but have all of the traits of a level 3 (about a 14-16 DRA). The books in our book room, which are leveled by the company which we purchase them from can vary drastically, and I still use them all. The books that she sends home are from her own collection. Many are trade books and do not have a level printed on them by the publisher. She has leveled them herself. They have yard sale stickers on them stating the "level". Her leveling is not correct, at least according to Scholastic's Book Wizard, which is one of the only sources I know that provides levels for trade books.
I am also only allowed to use 2 specific books to test for each level, one is hard and one is much easier. Some teachers are tough and only give the hard one, some let the children choose, and some give the easier book. My partner always gives the easy books at the end of the year so her children all leave on level. Our first grade teachers always reassess her students because they know this and it has caused them problems with parents (when children are considered lower in first than they were in K). I suspect something similar occurred here, as our next door neighbor is also in my son's class, and he, too, was a "4" at the end of last year but only a "3" this year.
Please try and remember the teacher is trying to help your child meet the expectations of the school/district, not annoy you or pick on your child. Work with her instead of against her. If you have already made a fuss about the progress report (which is not a big deal anyway-its first grade, who cares, Harvard will never know), you are already on her radar as being one of those parents