Teens · Ages 15–18

PrimeDojo

Ages 15–18 · Gr 9–12 Level 4

Multiply two primes: easy. Un-multiply their product: very hard. That gap is part of the padlock on a web page. PrimeDojo walks you from clock arithmetic to a working RSA key you build, encrypt with, decrypt with — and then BREAK by factoring, all by hand and all on your device. Predict each step, then watch the maths. Ages 15–18.

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RiskDojo

Ages 15–18 · Gr 9–12 Level 4

A rare disaster you can’t afford, swapped for a small cost you can — that trade is all insurance is, and it’s just maths. RiskDojo builds the whole idea from expected value up: the fair premium, the deductible, and the law of large numbers that lets a pool cover a rare big loss and still break even. Predict each number, then reveal the worked step — and run a pool yourself to watch adverse selection break it. Ages 15–18.

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Math · Monetary Policy & the Lag

ApprenticeDojo

Ages 15–18 · Gr 9–12 Level 5

The trades run on maths every apprentice must get exactly right — because the number IS the safety. Ohm’s law sizes a wire so it won’t overheat; a cooling load sizes an air conditioner; a ¼-inch-per-foot slope makes a drain actually drain. Predict the calculation, reveal the working and the code behind it, then run the numbers yourself in the Trade lab. Real electrical, HVAC and plumbing maths — no internet. Ages 15–18.

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CentralForge

Ages 15–18 · Gr 9–12 Level 4

You are the central bank. Set one lever — the policy rate — and steer inflation and jobs, but everything you do arrives with a lag. Hike to cool prices and inflation barely moves for a year; hold too long and you over-tighten into a recession; face a supply shock and there is no clean move at all. Predict the economy, then run it yourself. All exact, all on your device. Ages 15–18.

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Math · Orders of Magnitude, Dimensions & Calibration

OrderDojo

Ages 15–18 · Gr 9–12 Level 4

Before you trust a number, run three checks. Orders of magnitude: a "100× better" claim is a two-order leap — is that plausible? Dimensions: compute kinetic energy with v instead of v² and the units reveal you got momentum, not energy. Calibration: being 90% sure and wrong costs almost the maximum. Predict the check, then run it on your own claims. All exact, all on your device. Ages 15–18.

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Math · Logic & Proof

Proof Sweeper

Ages 15–18 · Gr 9–12 Level 4

Minesweeper where nothing opens until you prove it. Pick a square, claim it is safe or a mine, name the rule and tap the numbers that force it — the checker accepts only steps that really follow, and each one becomes a line of your written proof. Harder levels can’t be finished without the subset rule. You can’t lose; you can only prove. Ages 15–18.

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Mathematics · Statistics and metrics: Simpson's paradox and Goodhart's law in a game season

PatchNotes

Ages 15–18 · Gr 9–12 Level 3

You run a two-character game for one season. The overall table says Ember is too strong, and your boss watches weekly active players. Make one balance change a week, decide whether to pull a dark lever, write the patch note. Then read what really happened: a reversal hidden in the averages, and a number that stopped measuring what you wanted.

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Mathematics · Why this math matters to you (utility value)

WorthQuest

Ages 15–18 · Gr 9–12 Level 3

What is this math worth to you? Four rooms. Why: pick what you are into and the unit you are in, then write — in your own words — where the math shows up in your thing. Where: map your next courses. Who: print a one-page brochure for a parent with three car-ride openers. Worth it?: what it gives you beyond use, and what it costs. Nothing is handed to you; you make the connections. Ages 15–18. On-device: a count of the connections you keep, and your door if you choose to save it. Nothing is sent.

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Mathematics · Proof from axioms: a tiny proof checker

AxiomForge

Ages 15–18 · Gr 9–12 Level 4

Build arithmetic from nothing. Start with zero, "the next number" and two rules for adding. Prove 2 + 2 = 4, then that adding in either order gives the same answer, then multiplication. Every move is a legal rewrite or it is refused. Twenty levels in three worlds, with a tiny checker that cannot be bluffed.

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Mathematics · Checking derivations: find the first line that fails

RedPen

Ages 15–18 · Gr 9–12 Level 4

Fifty confident, neat, wrong derivations in algebra, calculus, mechanics, chemistry and statistics. Find the first line that fails, pick the corrected line, and name the kind of failure: algebra slip, wrong principle, unit error or unjustified step. Answers are cheap now; checking is the skill. Every line is checked by an exact engine, and nothing leaves your device.

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Systems Thinking & Statistics

BottleneckForge

Ages 15–18 · Gr 9–12 Level 5

Find the step that really limits the outcome — predict, then let the math show you. Amdahl’s law, survival funnels, and how many shots it takes. For teens.

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Calculus

CalcQuest

Ages 15–18 · Gr 9–12 Level 5

Predict the limit, the slope, the area — then a real engine computes it and shows the rule. Precalc into calculus, made intuitive. For teens.

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Mathematics · optimisation: circle packing in origami design

FlapForge

Ages 15–18 · Gr 9–12 Level 5

Every flap of a folded creature claims a circle of paper as wide as the flap is long. So designing a model is packing circles into a square. Predict where the flaps should go, then see which layout makes the biggest creature.

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Mathematics · proof: the vertex laws of flat folding (Maekawa, Kawasaki–Justin)

FlatForge

Ages 15–18 · Gr 9–12 Level 5

Unfold a crane and look where creases meet. Mountains and valleys differ by exactly two; alternate angles add to 180°. Predict whether a crossing folds flat, name the rule that proves it, then audit a confident assistant's crease pattern.

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InferForge

Ages 15–18 · Gr 9–12 Level 5

See the ideas AP Statistics students find hardest — the sampling distribution of the mean (the Central Limit Theorem) and what “95% confident” really means — by running the simulations yourself. Predict, then run 300 samples and watch. On-device, nothing leaves your device.

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InsightForge

Ages 15–18 · Gr 9–12 Level 5

Proofs without words: reconstruct the argument a picture hides — then catch the pictures that lie.

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HS Geometry

LocusForge

Ages 15–18 · Gr 9–12 Level 5

Conjecture the angle, the length, the area — then a real engine confirms it and names the theorem that proves it. Formal geometry, made intuitive. For teens.

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Math · Statistics & Simulation

NimForge

Ages 15–18 · Gr 9–12 Level 5

The mathematics of who wins, for ages 15–18: play Nim (and its last-token-loses twist), then let the engine reveal WHY a position is won or lost — the Nim-sum, Sprague–Grundy values, and the golden ratio hiding inside Wythoff’s game. Play, conjecture, and the engine checks every small position. On-device; nothing leaves your device.

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Statistics

PriorForge

Ages 15–18 · Gr 9–12 Level 5

Every game starts at 5.5. Adjust the dummy votes, add real ratings, and watch a Bayesian average pull a small crowd toward the prior — the statistics behind every leaderboard. For teens.

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RatingForge

Ages 15–18 · Gr 9–12 Level 5

Build a rating system and watch it converge (and wobble). For teens: give six bots hidden true strengths, play a season, and watch Elo sort them — then change the K-factor and see the trade-off between fast and steady. Computed on-device; nothing leaves your device.

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Reading, writing, grammar, and wordplay.

English & Language Arts · concise writing — crafting a five-to-seven-word tagline (word economy, the reader-at-a-glance test)

TagLineForge

Ages 15–18 · Gr 9–12 Level 3

Say what you made in seven words or fewer, then try it on a stranger. Write candidates, get a live length coach, pick the one. On-device; nothing leaves your device.

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English & Language Arts · critical reading — audit a summary against its source: faithful vs. stretched (a dropped caveat → overclaim) vs. invented (a fabricated claim). Source-fidelity / overclaim & fabrication detection.

FidelityForge

Ages 15–18 · Gr 9–12 Level 4

Read a short source passage, then audit three summaries of it — one is faithful, one is stretched (it drops the source’s caveat and overstates it), and one is invented (it makes a claim the source never made). Sort them, then see the tell: how each overclaim and fabrication gives itself away against the source. On this device, no account, no feed, no real brands. The skill a good reader keeps for life: telling a faithful summary from one that only feels right.

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ClauseDojo

Ages 15–18 · Gr 9–12 Level 5

You sign more contracts than you think — a phone plan, an app’s terms, a first lease — and almost nobody reads them. A contract is just a list of clauses, and reading one is a skill: for each clause, who does it favour, and what does it let the other party do? Spot the auto-renewal that keeps charging you, the arbitration line that gives up your day in court, the fee that locks you in — and the fair clauses that don’t. Predict the reading, then mark up a whole contract. Real close-reading, no internet. Ages 15–18.

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TranslateDojo

Ages 15–18 · Gr 9–12 Level 5

A German saying about a train station really means "it’s all Greek to me." Spanish "embarazada" means pregnant, not embarrassed. Vietnamese uses four different words for "I" that English flattens into one. Translation is never a swap of equal words — every rendering trades something away. Predict what a word-for-word version breaks, reveal the faithful one, then translate it back and measure the drift. Every phrase is human-authored — no machine translation. A tiny, deterministic translation-loss engine, no internet. Ages 15–18.

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TongueDojo

Ages 15–18 · Gr 9–12 Level 4

You speak some of your family’s language — your little brother or sister barely does. TongueDojo turns you into their tutor: add up to ten family words, and it plans four ten-minute sessions spread over a week (spacing is what makes words stick), each built around one real tutoring move — wait, give the smallest hint, praise the effort, notice the slip. Print the plan and a little picture book for them. Nothing recorded, nothing translated by a machine, on-device. Ages 15–18.

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DocentForge

Ages 15–18 · Gr 9–12 Level 4

Become a museum educator, ages 15–18: build a three-minute object talk (hook · look closely · the story · the question) for any object, then score it against your own rubric — the app never grades your speech, you do. Assemble a volunteer-application portfolio. On-device.

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DecodeDojo

Ages 15–18 · Gr 9–12 Level 3

Long words are short words stacked together. Break them by syllable type and by meaningful part, then read the long words in a driver’s handbook, a pay stub, a lease and a ballot measure. Private, ten minutes at a time, no levels. Ages 15–18. On-device; nothing leaves your device.

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PhonemeForge

Ages 15–18 · Gr 9–12 Level 4

The sound system of English, as linguistics. Sort the 44 sounds by where and how they are made, compare minimal pairs (your device can read them aloud), read the IPA, and find out why English spelling drifted away from its sounds — and why no accent is wrong. With a heritage track for Vietnamese, Hindi and Spanish speakers. Ages 15–18. On-device; nothing leaves your device.

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OrthoForge

Ages 15–18 · Gr 9–12 Level 4

How does the world write down sound? Decode real words in four scripts — Ukrainian Cyrillic, Hindi Devanagari, Japanese kana and Korean Hangul — using each script’s own key, then explore how Arabic, Chinese and Vietnamese make different choices: alphabet, abjad, abugida, syllabary, featural alphabet, logography. Ages 15–18. On-device; nothing leaves your device.

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CognateForge

Ages 15–18 · Gr 9–12 Level 5

A comparative-linguistics word game for ages 15–18: nine words from seven languages hide three families of cousins that descend from one ancient root (like NIGHT · NOCHE · NUIT). Trace the root, meet the false friends. The twist: you can only group a word once you've shown you know what it means (the Meaning Rule). On-device; nothing leaves your device.

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LexForge

Ages 15–18 · Gr 9–12 Level 5

A lexicography game for ages 15–18: a word is on trial. Weigh the evidence, then rule — is it in the dictionary, disputed, or not a word at all? Discover how dictionaries really decide (usage, not authority, makes a word), and why some real words look invented and some invented ones look real. On-device; nothing leaves your device.

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English & Language Arts · Designing a teaching cast and its first chapter

CorpusForge

Ages 15–18 · Gr 9–12 Level 5

A corpus-linguistics word game for ages 15–18: you set the tile bag. Sort each language’s letters, graphemes, and words by how often they really appear — the rare ones are worth the most — and discover Zipf’s law, why a tile isn’t a byte (Vietnamese NG is one unit), and why every language needs its own bag. The bag you build is the real data our word games run on. On-device; nothing leaves your device.

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English Language Arts

SupportForge

Ages 15–18 · Gr 9–12 Level 5

Your reading supports, and how to ask for them. Have text read aloud with the words lit up, break long words into their parts, see where a word splits into beats, and read one line at a time. Learn what extended time, audio books and notes-ahead actually are, which tools have real evidence behind them (and which don’t), then build and rehearse the words to ask a teacher or a manager. Ages 15–18.

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CastDojo

Ages 15–18 · Gr 9–12 Level 3

Design a cast, then test it on a younger kid. Pick a concept you truly know; invent six to twelve characters whose behaviour IS the rule; write chapter one; run a 15-minute playtest with a younger sibling or tutee; revise; export a cartridge you own. With a grown-up, you can send it to Spark & Anvil for review. Ages 15–18.

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World Languages / Linguistics

EssayForge

Ages 15–18 · Gr 9–12 Level 5

The essay coach that can’t write your essay. Plan a thesis and paragraph claims, draft in your own words with a Socratic coach that only asks questions, and save drafts to build a process receipt that records how your essay grew, never a word of it. On-device, nothing uploaded — never a grader, never an AI detector.

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GlossForge

Ages 15–18 · Gr 9–12 Level 5

Decipher a made-up language from a few glossed sentences — infer the rule, then use it. For teens.

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ProseForge

Ages 15–18 · Gr 9–12 Level 5

Predict the rhetorical move — ethos, pathos, or logos — then a close-reading engine reveals the annotated argument and lets you revise. Rhetoric, tone, theme & argument for teens.

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