Killing the grizzly bear - The first predator you encounter is the grizzly bear. The quickest way to kill it is to wait for it to stand on its hind legs. When it opens its mouth, shoot it in the throat.

Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Handgun Excellence (15 points): Player must hunt 20 small game animals with any handgun in the course of completing the Career mode.
Crossbow Excellence (30 points): 15 small game animals must be hunted with the crossbow in the course of completing the Career mode.
Muzzleloader Excellence (45 points): Hunt 10 small game animals with the muzzleloader in the course of completing the Career mode.
Accuracy 50 (10 points): Accuracy must be over 50% in any season.
Accuracy 70 (15 points): Accuracy must be over 70% in any season.
Accuracy 90 (20 points): Accuracy must be over 90% in any season.
Climbing the Cliff (5 points): Must not lose your grip and fall from a handhold on the first climb in Montana, Fall.
Cross the Log (5 points): The Player must cross the log without falling on the first log in Montana, Fall.
Long Shot (15 points): The first animal shot at a distance between 100 and 150 yards away.
Super Long Shot (30 points): The first animal shot at a distance between 150 and 200 yards away.
Extreme Long Shot (40 points): The first animal hit at a distance over 200 yards away.
Eagle Eye Shot (50 points): The first animal shot at a distance over 75 yards away. Player must not shoot from Scope mode.
Complete All Hunts (120 points): Complete every single hunt in Career mode (required and optional).
No-Scope Excellence (20 points): Player must hunt all objective animals while never shooting from Scope Mode in any single season.
Ecological Friendly (20 points): Complete an entire season without shooting any animals outside of an objective.
Dodge Master (10 points): The player must dodge 10 attacks at any time during any of the Rival Animal Hunts.
Elk Trophy Legend (20 points): Shoot and kill this Trophy Legend animal in only one shot.
Mule Deer Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Moose Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Kudu Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Hartebeest Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Red Stag Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Fallow Deer Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Water Buffalo Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Axis Deer Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Waterbuck Trophy Legend (35 points): Shoot and kill this Trophy Legend animal in only one shot.
Grizzly Bear Rival Hunt (30 points): Take down the Rival Grizzly Bear. Player can be hit up to three times.
Leopard Rival Hunt (35 points): Take down the Rival African Leopard. Player can be hit only once.
Wild Boar Rival Hunt (40 points): Take down the Rival Wild Boar without ever being hit by the boar.
Cougar Rival Hunt (50 points): Take down the Rival Cougar without being hit by the Cougar. Player can only have 3 missed shots.
Lion Rival Hunt (60 points): Take down the Rival African Lion without being hit or missing a single shot.