You might want to spend some time browsing the exhibits at Nature Museum, Wonder Park Galileo, or Yekaterinburg History Museum. While you're exploring, swing by Rastorguyev-Kharitonov Palace, Church on Blood in Honor of All Saints Resplendent in the Russian Land, and Park Youth Palace to learn a bit about the area. You can watch performances at Yekaterinburg Circus, Puppet Theatre, and Teatron Maly Drama Theatre if you're interested in local theater.