diff --git a/src/lib/achievementPoints.ts b/src/lib/achievementPoints.ts
new file mode 100644
index 00000000..bf11e372
--- /dev/null
+++ b/src/lib/achievementPoints.ts
@@ -0,0 +1,111 @@
+/**
+ * Achievement System: Reward Points (#416).
+ *
+ * Decoupled point-tracking engine. The engine consumes "events" (e.g.,
+ * "course_completed", "lesson_finished") and converts them into reward
+ * points awarded to a user, applying idempotency by event id.
+ */
+
+export type AchievementId = string;
+
+export interface Achievement {
+  id: AchievementId;
+  name: string;
+  description: string;
+  points: number;
+}
+
+export interface RewardEvent {
+  id: string; // unique event id (for idempotency)
+  userId: string;
+  achievementId: AchievementId;
+  occurredAt: string; // ISO datetime
+}
+
+export interface UserRewardState {
+  userId: string;
+  totalPoints: number;
+  history: Array<{ eventId: string; achievementId: AchievementId; points: number; at: string }>;
+}
+
+const DEFAULT_ACHIEVEMENTS: Achievement[] = [
+  {
+    id: 'first_course',
+    name: 'First Course Completed',
+    description: 'Awarded the first time a user completes a course.',
+    points: 50,
+  },
+  {
+    id: 'streak_7d',
+    name: '7-Day Streak',
+    description: 'Awarded for seven consecutive active days.',
+    points: 100,
+  },
+  {
+    id: 'mentor_review',
+    name: 'Mentor Reviewer',
+    description: 'Awarded after reviewing five peer submissions.',
+    points: 200,
+  },
+];
+
+export class RewardPointsEngine {
+  private achievements = new Map<AchievementId, Achievement>();
+  private seenEventIds = new Set<string>();
+  private state: UserRewardState;
+
+  constructor(
+    userId: string,
+    achievements: Achievement[] = DEFAULT_ACHIEVEMENTS,
+  ) {
+    for (const a of achievements) {
+      this.achievements.set(a.id, a);
+    }
+    this.state = { userId, totalPoints: 0, history: [] };
+  }
+
+  listAchievements(): readonly Achievement[] {
+    return Array.from(this.achievements.values());
+  }
+
+  award(event: RewardEvent): { applied: boolean; points: number; reason?: string } {
+    if (event.userId !== this.state.userId) {
+      return { applied: false, points: 0, reason: 'user mismatch' };
+    }
+    if (this.seenEventIds.has(event.id)) {
+      return { applied: false, points: 0, reason: 'duplicate event' };
+    }
+    const a = this.achievements.get(event.achievementId);
+    if (!a) {
+      return { applied: false, points: 0, reason: 'unknown achievement' };
+    }
+    this.seenEventIds.add(event.id);
+    this.state.totalPoints += a.points;
+    this.state.history.push({
+      eventId: event.id,
+      achievementId: a.id,
+      points: a.points,
+      at: event.occurredAt,
+    });
+    return { applied: true, points: a.points };
+  }
+
+  getState(): Readonly<UserRewardState> {
+    return {
+      userId: this.state.userId,
+      totalPoints: this.state.totalPoints,
+      history: [...this.state.history],
+    };
+  }
+
+  /**
+   * Computes the user's current level based on total points.
+   * Levels reset every 500 points; each level unlocks a title.
+   */
+  level(): { level: number; title: string } {
+    const level = Math.floor(this.state.totalPoints / 500) + 1;
+    const title =
+      level >= 5 ? 'Master' : level >= 3 ? 'Expert' : level >= 2 ? 'Apprentice' : 'Novice';
+    return { level, title };
+  }
+}