During the week an upper level longwave trough will move eastward through the northern region of the U.S. contiguous 48. On Wednesday, a surface low pressure system is expected to form on the eastern side of the Rockies, tracking northeastward into eastern Canada by Saturday. The system will reach central Ohio on Thursday, with a warm front causing precipitation during the afternoon and into the night and a cold front passing through which will cool temperatures for Friday. Depending on the timing of the cold front passage, rain could be possible during the morning. One thing to note is this system is the second low that will move through the region this week, with the first moving through on Wednesday.
While this low is moving through between Thursday and Friday, a shortwave trough in the mid-to-upper levels will move through the southern Plains, spawning another low pressure system at the surface which is expected to move eastward towards the Atlantic. Recent models runs indicate the low will remain to the south of central Ohio on Saturday, which will continue to bring cool air to the region albeit from the northeast. Moisture in the much of the atmosphere could be transported to the region by southwesterly winds and bring a chance for scattered showers during the morning to mid-afternoon.
For Sunday, an upper level ridge is expected to move in behind the trough, bringing drier air to the region which will break up most of the cloud cover.
There is a lot of model disparity in this forecast, especially concerning the timing and location of fronts associated with these systems, so I'm expecting changes for the next update on Wednesday.