Brown the ground beef in a skillet over medium heat, breaking it apart until fully cooked. Drain the grease completely.
Spray the slow cooker basin with non-stick oil and layer the sliced potatoes evenly across the bottom.
Add the carrots, diced onion, and chopped celery directly on top of the potatoes.
Spread the browned ground beef over the vegetables. Season evenly with the salt and pepper.
Scatter the frozen corn and frozen peas over the seasoned beef layer.
Pour the undrained diced tomatoes and the condensed tomato soup over the very top. Do not stir.
Cook covered on the low setting for 6 to 7 hours until the potatoes are completely tender.