If you are on a limited budget and have a limited amount of time to set up the lighting, I would try shooting at dawn and dusk, especially if you need to have the blinds open. If shooting during the day is necessary, drawing the blinds would be best, especially it the windows are on just one wall. Leaving them open will produce considerable light fall off in this instance. Also schedule each image when the sunlight is not directly shining into the room.
If you have some time to set up lights between classes, I would use two lights, one either side of the room, and have them bounce off of the ceiling. If the ceiling is a light grey and close to being neutral, you should not have a problem with loosing light and/or color shifts. Place the lights as low as you can so the spread is as even a possible. Get some Cinefoil to shape the burst so they do not spill into the image. After that, think about having one or two soft boxes with grids on them to project light into the far end of the classroom.
This the best I can suggest without seeing your budget, site plans, scouting shots and knowing what the logistics/schedule of the college.