Mongolian Glazed Steak with Broccoli

Preheat grill. Meanwhile in a rimmed sheet pan place steak; pat dry thoroughly and add 1 tablespoon soy sauce over each steak. Massage into steak on all sides. Season with black pepper. Transfer steaks onto a clean rimmed sheet pan in a single layer. Sprinkle steaks evenly with cornstarch on both sides. Shake off any excess. Brush lightly with vegetable oil. In a small bowl mix together 1 tablespoon vegetable oil, ginger, garlic, brown sugar, and ketchup. Set aside. Place steak on grill; cook 3 to 4 minutes on each side. Brush glaze on both sides of steak and cook 1 more minute on each side until glaze is caramelized. Transfer to a plate to rest for 5 minutes. Meanwhile bring a large pot of water to boil; season with salt. Add broccoli and cook until just tender, 2 minutes. Drain well. Plate steak with broccoli and extra sauce if desired; serve immediately.