Preheat over to 400 degrees.
Prepare two baking sheets by lining them with aluminum foil and spraying them lightly with cooking oil spray.
Place 1/2 fennel, onions, garlic and carrots on each of the prepared baking sheets. Lightly sprinkle with salt and pepper. Roast for 20 minutes.
Remove trays from oven and add half of tomatoes and half of beans to each tray. Lightly spray with cooking oil spray and sprinkle a wee bit of salt and pepper on top. Roast for 20 minutes or until tomatoes have popped open.
Remove from oven. Serve immediately over arugula leaves.