There are 5 challenges around the map, each one giving a Tactical Grenade (Armageddon, Repulsor, Transponder, Black Hole Grenade and Rewind). You can find 2 Badges at the Camp, one near the fireplace and one at the back area. Another one at the beach near Slappy Taffy. Other near the Banshee after leaving the spawn room. And the last one is found near the big fireplace, by the other side of the spawn room. After completing all of them, the achievement/trophy will pop.
Completing all of the five challenges will unlock the achievement.