Preheat oven to 450°F.
Cut the carrots in half lengthwise and toss with olive oil, salt and pepper.
Place in a roasting pan and roast 30 minutes, turning once halfway through.
Toss carrots with vinegar and honey, roast another 20 minutes.
Preheat oven 450°F. Line a baking sheet, like the thinkkitchen Non-stick Square Pan, with parchment paper.
Cover potatoes with water in a large pot, the Arezzo Sauce Pan is a good option. Add a big pinch of salt and baking soda, bring to a boil. Boil potatoes about 10 minutes. Drain with a colander and let sit 10 minutes to let excess humidity evaporate.
Stir thyme, garlic, salt & pepper into the goose fat. Carefully toss the fat with the potatoes.
Lay the potatoes in one even layer on baking sheet. Roast for 1 hour, turning the potatoes every 20 minutes until crispy and golden brown all over.
Season with salt & pepper before serving and placing them on the platter with the carrots.