Sorry this is long, but I hope examples of my "well-behaved-at-home-but-not-always-at-school" son would help you. It looks long and rambling, but I hope it helps someone not feel like their the only ones.
It's easy for me to tell you to check in on your daughter but I know it's not as easy for you to actually be allowed the time off, so I'm not trying to make you feel bad or judge you. I only have one job: Mom. You have two full-time jobs: Mom & outside the home. I stay home because when my kids were little the amount I was making would have just covered day care and no other expenses, so it was less expensive for me to stay home and for my husband to take extra jobs to make ends meet. He could make in 8 hours on his one day off what it took me two weeks at minimum wage to earn and, no, he doesn't do anything illegal :) Now that they're both in school I can go to school to get a good job and help out again.
My son is in Kinder this year as well. He is a well behaved child for the most part and everyone always compliments him on his manners. However, I knew last school year (my daughter was in 2nd grade then and my son went to speech twice a week for 1/2 an hour) that my son had trouble expressing anger, didn't sit still or stay on task with things he didn't like and would throw tantrums (which I deal with quickly - I have no problem problem finding corners in public and only say "2", not "I'm counting to 3", but I was never sure why he threw them because he always got sent to the corner for them and I NEVER give in to tantrums - that's a sure-fire way for me to say No EVERY time) if it was opposite of what he wanted. So I was prepared to see self-discipline problems when he started Kinder. I didn't tell him this because I didn't want him to think he could use it as an excuse to be a "wild child".
My son, as I expected, had about 5 difficult weeks at the beginning. The first two weeks I did not go to his class so he could adjust to minding the teacher. After the first two weeks I would volunteer in his class, but made it clear to him that his teacher was in charge, not me. I was able to observe how he and the teacher interacted, how he interacted with other students, the names of the other students, and how he behaved on his own. He has trouble staying on certain tasks (he hates coloring and has actually spent half a day on one assignment- this was during the week before Christmas and the teacher had planned for a light school work day anyway, but still! even while I was there he didn't want to do it) and has trouble shifting gears from an activity he likes (such as pattern making and building) to activities he calls boring like journal writing. After school every day I would ask the teacher how his day went and she knew I supported her. On days when my son did things that were disrespectful to the teacher (talking in class, being rude) I would make him appologize to the teacher. If it was things like sitting still, staying on task, interrupting or shouting out without raising his hand, losing his temper when other kids would talk to him when the teacher wanted quiet I would explain that he needed to mind the teacher so she could teach and he could learn. One of the self-discipline problems he had in the beginning was when they would be lined up and another child (usually a particular child) would keep calling him or touching him or talking to him. My son would stiffen his arms down at his sides, ball up his fists but not as if he would hit hit anyone and yell "you're gonna get us in trouble if you keep talking!", which would get HIM in trouble. Needless to say since my son was the one yelling, he was the one to get in trouble. My issue was my son's anger management not the reason for the anger or even his being the only one the teacher caught. I would explain that it was okay for him to be frustrated or even angry with the other child, but it was not okay to yell or even growl (that's what I call the "RRRRR!!!!" he does when he gets mad) at anyone. I explained that he had to ignore the other child's behavior. He could once or twice quietly tell the other child not to talk to him, but if the other child kept it up then John was to raise his hand and let the teacher know. It took a while but he finally got it. I did take him to the counselor to see if she could give me advice. She said it looked like he had gotten used to acting out in frustration in that way from before he started taking speech at age three (about 80% of the time he couldn't be understood by people who knew him and spoke to him on a daily basis). With his speech improvement and learning to verbalize his emotions this has gotten rid of a lot of it. For someone who had problems pronouncing words, he has a very large vocabulary (about a second grade vocabulary).
Our elementary has a Self-Manager Program. Each child (in Kinder through Fifth) has an Agenda book that comes home every day. In Kinder & First, in their rooms they have a hanging banner with pockets and each child has a Green, Yellow & Red card in their pocket. Every child starts with Green EVERY day, it never carries over. If they are having trouble standing in line without touching others, if they won't be quiet to hear instructions, if they won't sit on the carpet without bugging other students, etc., then they will be told to change their card to the Yellow. If they continue to act up then they will be told to change it to Red. If it is a serious but not a Principal Visit offense, they go directly to red. If it is a Principal Visit offense, then they get sent straight to the office. Kinder and First receive Green Happy Faces, Yellow So-So Faces or Red Sad Faces in their Agendas at the end of the day according to their cards. If they can get 5 Green Faces in a row (can be Monday - Friday, Wednesday of one week through Tuesday of the next week, etc) then they receive a Self-Manager Badge. IF a child has earned the BAdge then they are able to take part in Special Priviledges (one day it was extra recess for Self-Managers only, another day it was kite flying, another it was Blowing Bubbles outside), but only if they have their Badges with them at school. If they took it home and forgot it that day, they can't participate (it's part of Responsibility). My Third Grader has missed out a couple of times for this reason. We have about 600 students in our school and almost ALL of them have earned their badges at one point or another. The greatest sight is a child who has severe behavior issues for whatever reason (be it a difficult home life or developemental issues) who has just earned their badge (the teachers base it on that child's ability to "behave", not on a cookie-cutter "you must be tis good" approach). If they get a Yellow Face they do not lose their badge, but they know they have done wrong and the teacher discusses it with them again when filling out the Agenda at the end of the day. If they earn a Red Face, they lose the Badge and must have 5 Green Days in a row again to earn the badge back. The Agendas started the third week of school. He had more yellows than greens, but no reds. Every morning, I sent him off with a kiss, an I Love You, & a cheerful "have a green (behave well) day!" to start him off. He eventually earned his Badge, he realized that it *is* possible to behave on a daily basis. He is always so excited when he has a Green Day - it's the first thing he tells me after school no matter what color he had. When he gets a Yellow Face he hangs his head as soon as he sees me and he is honest about what he did. We talk about what he did to get the Yellow Face and how to not do it again. He did lose his badge once and have to re-earn it because he earned a Red Face because he and two other students were play fighting (they were doing tage slaps to the face). It took 9 school days to re-earn it because he had 3 Green days, 1 Yellow and the 5 Greens.
He still gets Yellows every now and again, but hey, he's only 5 1/2 and he has the self-discipline of that age. I still volunteer in his class and he has improved so much since the beginning! Don't worry! Your Daughter will to. I think sometimes it's just too exciting for her. Ask her teacher if she should be tested for the Gifted & Talented program, she may be bored.