OK, here is one plan:
Day 1: Arrive Jackson
Day 2: Drive from Jackson to Yellowstone. Stop at West Thumb for a short walk, then head toward Old Faithful. Go to Visitor Center, check eruption prediction times and write them down on the brochure available at the desk. Do the Upper Gesyer Basin. Walk around Old Faithful to Geyser Hill, then down to Morning Glory and back, unless you something is predicted to go off, then head there. Eat ice cream on the 2nd floor deck of the Old Faithful Inn. Someone in the party MUST get huckleberry. It is required! Overnight at SnowLodge
Day 3: Visit anything in the Upper Geyser Basin you missed yesterday. Then work the area north of Old Faithful doing some of the smaller geyser basins, Midway, Firehole Lake Rd, Fountain Paint Pots and up to Madison Junction and around to Norris. Try to do Artist Paint Pots then some of Norris. If time allows you can head up to Mammoth. One thing you can also consider is a trip out to the Grizzly and Wolf Discovery in West Yellowstone. I don't know what the cost is, but many enjoy it. Overnight at SnowLodge
Day 4: Today, I would head to Canyon via Madison and Norris. Stop at the Canyon Visitor Center (nice bathrooms-flush toilets!) Then do some of the overlooks on the North Rim and the South rim. Go down thru Hayden, do Mud Volcano, stop and walk across Fishing Bridge. Overnight at Lake
Day 5: Today is going to be a long day in the car. Head north to Canyon, then over Dunraven Pass to Tower Fall. At Tower/Roosevelt Junction turn left and go out in to Lamar Valley for wildlife spotting. You might want to do lunch at Roosevelt if you don't have a cooler. Return to the Tower/Roosevelt Jct, then head to Mammoth. Drive back to Petrified Tree as sometimes there are bear back there. If you have time do the Blacktail Plateau Dr. Continue to Mammoth. Do the Lower and Upper Terraces, maybe do the Ft Yellowstone walking tour. You can get the brochures at the Visitor Center. Head south to Norris, over to Canyon then back to Lake. Overnight at Lake
Day 6/7: Head South by the Lake and exit at the South entrance. Overnight Jackson
This is just a guideline. You may do things slower or faster than I would do or you may get the chance to spend an hour watching a griz and cubs. Those moments are much more important than getting things checked off!
Have fun! We want a report when you get back!