A measured next question
The engine keeps a running estimate of what your child can already do and of how hard each question is. It picks the next one where it predicts a correct answer about three times in four — worth the effort, but not a wall.
The Math Expanse
When the gauges lie, count the cargo.
Five math planets are playable today. Load crates, break ten-rods, tile factory floors, slice water channels, and trade fair prices to uncover the quantities hidden by the Drift.
The Drift makes instruments lie.
Gauges report the wrong cargo. Ledgers misstate bridge lengths. Foundry dials spin out false totals. Physical reality stays exactly where it is, waiting to be counted, measured, or arranged again.
The instruments lie. The world does not. Re-derive the quantity to expose the Drift.
5 playable today
M1
Tally Flats
Counting, adding and subtracting within 20
Load and unload cargo, arrange crates in ten-frames, and mark each quantity on the Number Rail.
M2
Carry Canyon
Multi-digit addition, subtraction and place value
Build bridges from base-ten rods. Regroup by physically breaking one ten-rod into ten ones.
M3
Array Foundry
Multiplication, division, arrays and area
Tile factory floors in rows and columns, form equal groups, and measure area in floor tiles.
M4
Fraction Falls
Fractions and decimals
Slice and share water channels, then place their magnitudes on the Number Rail.
M5
Ratio Bazaar
Ratios, percentages and proportion
Compare prices and trade cargo by ratio at a working port.
M6
PlannedSignwild
Integers and negative numbers
Planned: descend below zero on the Number Rail with elevator, temperature, and debt controls.
M7
PlannedBalance Spire
Pre-algebra and equations
Planned: keep both pans of a balance machine level while working with equations.
M8
PlannedVector Reach
The coordinate plane and linear functions
Planned: plot jump-gate courses on a coordinate grid and set their slope.
Tally Flats · Lesson intros
A lesson before the practice.
On Tally Flats, the first time your child meets a new counting idea — counting, cardinality, comparing, counting on, or skip-counting — Nova teaches it in three spoken beats before any practice question appears. The concept comes first; the practice only tests it. It plays once per concept, so a child who already knows it moves straight through.
- 1Watch — Nova demonstrates the idea out loud
- 2Try together — your child taps along with Nova's help
- 3Do one yourself — before the practice round begins
Walk into each world
Every math mission opens on the planet itself. Here are real arrival views, captured in-world as a Cadet walks to the mission beacon.
Six known bugs, named
Distractors map to nine named misconceptions. After two matching observations, the engine drops back to a concrete or visual representation and re-enters consolidation.
Review has a schedule
Each item template returns on a spaced-review ladder: the same day, then after 1, 3, 7, 14, and 30 days.
Slow and correct stays correct
Pacing reads response time against your child's own established pace — never against other children — with a calibration step that separates thinking time from tapping speed. A correct but slower answer holds its place rather than moving backward.
One rail, not one trick per topic
Tally Flats introduces the Number Rail — gold and cyan runway marks that give every quantity a place to stand. It is designed as the spine of the whole Expanse: the planned planets extend the same rail into integers and the coordinate plane, rather than teaching a fresh gimmick per topic.
Three case files. One honest question.
Each shipped case pairs a short mystery with a strategy probe. The case asks which strategy Cadet used, and the NPC responds to that choice. There is no score, branching path, or separate win condition.
A foundry dial lies about its output. The case asks whether Cadet would tile rows and columns, test a pattern, split into tens, or use a known multiplication fact.
Math waits for the grown-up.
Math is off by default. A guardian decides when to turn it on, and placement is required before the first math mission.
- One shipped arithmetic course spans all five playable planets.
- A placement flow sets the starting point; there is no parent difficulty dial.
- Every NPC calls your child Cadet. Their name is never sent to an AI or voice provider, during production or play.
Math is included in the existing subscription. Same $9.99/month or $59.99/year. Nothing new to buy.
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