This challenge is part of the Location Domination Overtime Challenges in Fortnite. You'll have to the teddies by attacking the gnomes hidden at Camp Cod and Fort Crumpet. To 100% complete the challenge, you'll have to destroy 15 of them. This is no small task, especially since the gnomes are small and often hidden in nooks and crannies. To get you started, here's a map that will show you where to land.
Map
Each of the named POI contains at least eight gnomes.
Cod Camp
The vile gnomes have chosen the isolated island to the south of the map as their lair. You'll find them around campfires, in the forest in the heart of the island.
To find the location of each garden gnome, use the mini-map at the top right of the screenshots.
Fort Crumpet
The other hideout of the gnomes is located northwest of Sweaty Sands, at the great stone fortress. You'll find them on the outside wall of the building, near the cannons, and under the stairs or in the watchtowers. The place is full of dark corners and the gnomes are much more difficult to find there than at Cod Camp.
To find the location of each garden gnome, use the mini-map at the top right of the screenshots.
Keep in mind that the challenge is to destroy the gnomes, not to interact with them. You'll need to give them a good sucker punch to complete the challenge. Please be patient, as this will be a very tricky challenge to complete during the week after its release, as each gnome can only be destroyed once per game.
Original content by Romain "Zorg" Becquelin.