Start at Lesson 1 and train forward. Each lesson is split into short micro‑presentations (one idea per screen) so your teen can keep momentum without overwhelm.

1. Begin Lesson 1: The Discrete Mindset
2. Train the slides (short, focused)
3. (Paid members) Do the drill quiz and record your score
4. Pass belt exams to rank up

Goal: build “proof‑level thinking” — so AI can’t trick you with confident nonsense.

AI can generate answers at scale — including wrong ones that look right. Discrete Mathematics trains verification thinking: proof, counting accuracy, number structure, modular reasoning, and graph/network logic.

These are core foundations behind computer science and high‑level problem solving — and they create a teen who can check correctness instead of blindly trusting output.

Disclaimer: This course builds skills and discipline. It does not guarantee jobs, admissions, or outcomes.

Train your brain like Taekwondo: clean technique under pressure. Discrete Math teaches you to count accurately, prove what’s true, model networks, and recognize which problems are easy vs. explosively hard.

• Precision beats speed: one correct proof beats 100 confident guesses
• Combos: counting → proof → modular → graphs → complexity
• Belts prove you’re leveling up
• Best score counts — retry and improve without fear

Teen challenge: reach Yellow Belt (binomial + repetition counting). If you like this dojo, send it to a friend who wants to win too.

• Accurate counting: permutations, combinations, binomial coefficients
• Casework: splitting problems into clean, correct cases
• Inclusion–exclusion to handle overlaps correctly
• Proof skills (especially induction) to verify correctness
• Recurrences and discrete sequences
• Divisibility, gcd, prime factorization, modular arithmetic
• Graph theory foundations: paths, trees, planarity, coloring, shortest paths
• Complexity awareness: which problems scale and which explode

• Short training slides (micro‑presentations; one idea per screen)
• Auto‑graded drills (quick quizzes with retries)
• Belt exams to prove progress
• Moodle tracking: scores, completion, progress history
• No technical Q&A required — the system is designed for independent progress

This is not “watch and forget.” This is training: short daily practice → measurable proof.

Lesson ranges refer to the course training forms.

• White Belt (Lessons 1–3) — Stance & Counting Guard
  Discrete mindset, counting fundamentals, and clean casework setup.
• Yellow Belt (Lessons 4–6) — Combination Strikes
  Binomial coefficients/patterns, binomial theorem, and repetition counting (multisets).
• Orange Belt (Lessons 7–9) — Proof Footwork
  Inclusion–exclusion, proof tools (especially induction), and recurrences/sequences.
• Green Belt (Lessons 10–12) — Number Defense
  Divisibility & gcd, number structure, pigeonhole and parity tactics.
• Blue Belt (Lessons 13–15) — Modular Sparring
  Modular arithmetic basics, modular power moves, and primes/testing ideas.
• Brown Belt (Lessons 16–19) — Network Combat
  Crypto foundations, graph theory basics, walking through graphs, matching/stability.
• Black Belt (Lessons 20–22) — Master Form: Complexity Control
  Trees/connectivity, planarity/coloring, shortest paths/complexity awareness.
  Black Belt Test: comprehensive final exam.

Belts are proof. Parents get visibility. Teens get momentum.

Free (Guest Training)

• Access the free lesson content (training slides / micro‑presentations)
• See the curriculum and belt map
• Preview the dojo structure

Dojo Membership (Paid)

• Full access to all drills, quizzes, and belt tests
• Belt tracking and certificates
• Parent progress visibility (activity + scores inside Moodle)

Founders / Inauguration Price: $5 per course for 30 days (about the price of a coffee). This is the launch price while the dojo is expanding — as more belts, exams, and courses are added, the price will rise.

1. The Discrete Mindset — why step‑by‑step reasoning fights confusion.
2. Counting Fundamentals — factorials, permutations, combinations.
3. Casework Combos — splitting problems into clean cases.
4. Binomial Coefficients & Patterns — structure behind “n choose k.”
5. The Binomial Theorem — interpret expansions using discrete structure.
6. Multisets & Repeat‑Allowed Counting — count selections with repetition.
7. Inclusion–Exclusion — handle overlaps correctly.
8. Proof Tools — induction and other proof strategies.
9. Recurrences & Sequences — generating patterns with rules.
10. Divisibility & gcd — the structure behind “divides.”
11. How Integers Are Built — binary decomposition and prime factorization.
12. Pigeonhole & Parity — prove must‑exist and can’t‑happen results.
13. Modular Arithmetic — reliable remainder‑based reasoning.
14. Modular Power Moves — fast exponent strategies and combined remainders.
15. Primes & Testing Ideas — modular theorems and prime reasoning.
16. Cryptography Concepts — public info, private control (foundations).
17. Graph Theory Basics — the language of networks.
18. Walking Through Graphs — paths, adjacency thinking, random‑walk intuition.
19. Matching & Stability — pairing and assignment logic.
20. Trees & Connectivity — spanning structures and minimal connections.
21. Planarity & Coloring — clean drawings and constraint modeling.
22. Shortest Paths & Complexity — solvable vs. explosive problems.

Disclaimer: This course provides education and training and cannot guarantee a specific job outcome.

Belts are proof of skill. Your teen earns belts through auto‑graded drills and belt tests.

Passing score: 80%
Retries: Unlimited
Score policy: Best score counts (highest score recorded; retakes cannot lower the record)

Eligibility: completing the required drills unlocks the belt test.

Optional anti‑spam cooldown (recommended): add a cooldown after failed attempts to reduce rapid guessing and encourage real review.

Integrity Rules — “You vs AI”

• No AI tools during belt tests. No chatbots, no answer generators, no “explain this problem” tools.
• No outside help during belt tests (friends, tutors, siblings).
• Parent presence encouraged during belt tests (nearby / same room).

Notes Policy

• Drills: open‑notes allowed.
• Belt tests: closed‑notes or one‑page notes (dojo admin choice).

Disclaimer: Belts and certificates verify training progress and do not guarantee job outcomes.