← Home

⚔️ Raid Boss Arena

⚔️ Raid Boss Arena

Mathematical proof challenges as epic boss battles

Choose Your Challenge:

RECOMMENDED
🔢

Polynomius the Factorer

Guardian of Algebraic Structures

🎯Apprentice(PQI 40+)

A mathematical beast that feeds on unsimplified polynomials. Only perfect factorization can defeat it.

Requires: 3+ proof steps
Problem: Factor completely: x² - 16...
📊

Rationalis the Asymptote

Master of Forbidden Values

⚔️Adept(PQI 55+)

A cunning adversary that hides in discontinuities. You must simplify while respecting domain restrictions.

Requires: 4+ proof steps
Problem: Simplify (x² - 9)/(x - 3) and state all domain res...
📈

Exponentia the Infinite

Wielder of Logarithmic Power

🔥Expert(PQI 70+)

A rapidly growing force that doubles, triples, expands without bound. Only logarithmic reasoning can contain it.

Requires: 5+ proof steps
Problem: Solve for x: 2^(x+1) = 32...
🌊

Quadraxis the Discriminator

Guardian of Parabolic Mysteries

⚡Master(PQI 85+)

An ancient entity that tests your mastery of the quadratic formula and understanding of solution types.

Requires: 6+ proof steps
Problem: Solve using the quadratic formula: 2x² - 7x + 3 = ...

How Raid Bosses Work:

📋
Phase 1: Setup
Understand the problem and plan your approach
⚔️
Phase 2: Prove
Build claim-reason chains to damage the boss
🛡️
Phase 3: Defend
Test your proof against counterexamples
🎉
Debrief
Review your performance and get improvement tips

🚀 Phase 2 Implementation Status

Phase 2 (Engagement MVP) - COMPLETE:

  • ✅ Multi-phase Raid Boss component (Setup → Prove → Defend)
  • ✅ Boss health and student health tracking
  • ✅ Dynamic damage calculation based on proof quality
  • ✅ Boss attack system for weak reasoning
  • ✅ Clutch moments for high-impact steps
  • ✅ Raid Debrief with detailed feedback
  • ✅ 4 Algebra 2 bosses (Polynomial, Rational, Exponential, Quadratic)
  • ✅ Adaptive difficulty recommendation system

Next Phase (Phase 3: Co-op & Social):

  • Co-op Proof Raid with role assignment (Modeler, Proof Engineer, Verifier)
  • PQI-based matchmaking
  • Team performance dashboard
  • Handoff scoring between roles