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Week 10 · Term Two opening · One inspectable transit model

The Skyrail Problem

Turn a mountain crossing into numbers a village can check: travel time, shared load, tower budget, a fare with a named reserve, and a public boarding brief that does not claim the railway already runs.

A design survives only the constraints it can show.

Monday converts distance and speed into a storm window. Tuesday shares a cabin load without inventing supports the tower cannot hold. Wednesday spends just enough stone to pass sway. Thursday posts cost and reserve as two numbers. Friday writes a brief a skeptical family can inspect.

Day 1

Monday

20 minutes

Algebra · Distance, rate, and a hard window

Chart the Storm Window

Convert distance and speed into travel time, then test each result against a named constraint instead of choosing by appearance.

Make

A storm-window time card

Skyrail handoff: The survey files Ridge Line for the storm window. Cable load is still unread — a fast line is not yet a safe hitch.

Day 2

Tuesday

25 minutes

Forces · Shared load and a working limit

Share the Cabin Load

Divide a load among supports, compare each share to a working limit, and reject a design that the hardware cannot hold even if the arithmetic looks lighter.

Make

A cable-load ledger

Skyrail handoff: The four-cable hitch is filed. Tower spacing is still open — a safe cabin is not yet a fundable span.

Day 3

Wednesday

25 minutes

Engineering · Budget, sway, and one brace

Space the Towers

Hold two constraints at once — material budget and a measured sway limit — and accept a design that spends just enough to pass both.

Make

A tower-span board

Skyrail handoff: The measured span and brace are filed. Fare is still open — a buildable line is not yet a fare families can verify.

Day 4

Thursday

20 minutes

Algebra · Unit cost and a visible reserve

Price the Daily Run

Divide a total cost by a count, then add a named reserve instead of treating a popular price as automatically fair.

Make

A fare ledger

Skyrail handoff: The 38-coin fare is filed with a visible reserve. Who boards first is still open — a priced cabin is not yet a public rule.

Day 5

Friday

25 minutes

Public writing · A brief families can inspect

File the Skyrail Brief

Write a public recommendation that uses the week's constraints and does not claim more than the model proved.

Make

A Skyrail design brief

Skyrail handoff: The Skyrail design brief is filed. Term Two now has one inspectable transit model — not a claim that the mountain line already runs.

Open the skyrail journal.

The brief uses only work entered here. It does not infer a built railway, a safety certificate, grades, mastery, attendance, or accreditation.

Quest progressProgress recorded