Kids and ice
Now they are 14 and 17 so we bring the snowmobiles too, they love that.
If the fish are not biting they can go for a spin, the snowmobile trail is across the street from Browns Lake....
The younger kids get cold pretty easy so a shanty with a heater really helps. Also bring a couple of thermoses, one with hot chocolate, another with soup (my kids love tomato), and one with coffee for yourself.
Distractions really help too. Bring a portable camp stove with some brats and beer to cook them in. I demoted one of my wife's older skillets and keep it in the ice fishing shanty. The kids love cooking on the ice.
Also, buy something special, something you don't typically let them have at home, like Mountain Dew or some other special treat.
Another good one is to let them bring as many friends as they want. They always enjoy horsing around with their buddies. You can also put more tip-ups out with the extra people, and the kids absolutely love chasing down flags, so you can keep their interest.
Not sure about Dane County, but Browns Lake in Burlington is a fun starter lake for kids. Lots of stunted Pike. You won't catch any keepers, but the kids will get their fill of chasing down 23 inch Pike...