While I'm the mom of a boy, I have been a nanny for several families of kids, many of them during the nine-year-old stage. What you are describing is fairly common.
I'm giving you a link which has some good offerings.
http://www.allthedaze.com/development9.html
"The nine year old is easily redirected when she exhibits negative emotions or bad behavior. When she becomes upset, it is usually at herself, as she is sensitive to criticism and easily embarrassed. Because this is a period of emotional integration, some emotional swings are still seen."
That's a quote from the article. How I often dealt with this stage was to be as respectful as possible when giving directions, to often offer ideas instead of correction ("How about trying it this way?" instead of "you are doing it wrong, here's how to do it"), and to be very firm and consistent about expectations regarding self-expression. With two girls in particular, I found it worked well for us to have a private way to communicate when their behavior was starting to cross the line when they were mad at others or embarrassed; I'd suggest "time for a book break", which was my way of saying "you need to go cool off now/go deal with your feelings" without calling attention to the behaviors which would have only embarrassed them more.
Little dignities are sensitive at this time. Invariably, they didn't want consolation when they were upset, but time to move through the emotions. Knowing this, I tried to do it gracefully.
I also would encourage you to read "How to Talk So Kids Will Listen...and How to Listen So Kids Will Talk." In my years working with kids, I found this book to be a game changer in how I communicated. Getting the kids on board with finding resolution to problems is key--getting them to buy into doing it better is wonderful.
Disrespectful comments or behavior/tone of voice: "Try that again please" or "Please speak to me in the way you would like me to talk to you."
I say this with a big grain of salt, because this age of 'whatever' and eyerolling can make us feel crazy, but anytime you can stay emotionally neutral, calm, not get hooked in--- that is a good thing. It will help deescalate the situation in many cases. And if it doesn't , you can still know that you stayed 'the adult' in the middle of a hard moment and controlled your own emotions. And that's a good thing too!
Now I'm just waiting to see what I'm in for when Kiddo turns 9 in a year and a half or so!
ETA: Christy Lee, back at'cha. Thanks for the links- I had time for the first (spot on!) and will pore over the second, but they both look great.