Set up a ladder beneath the crack. Check it for stability before climbing onto it to begin your repairs.
Scrape off 3 inches of ceiling texture on each side of the crack, using a putty knife. Keep scraping until all the popcorn texture is removed and you've reached the drywall's papery surface.
Cut open your caulking tube so that its tip is ¼ inch wide, using scissors. Fill the crack with your caulk, and then use your putty knife to smooth out your work. Once the caulk is dry, cover the scraped area with one coat of latex primer, using a paintbrush. Allow the primer to dry.
Spray the primed, repaired area with the aerosol spray or pump tool included in your texture repair kit. Follow the instructions included with your kit. Allow your newly retextured ceiling to dry completely.
Paint over the area with touch-up paint, using a paintbrush.
Repeat the process for any remaining cracks.