Ratios scale the world up and down: map scales turn centimetres into kilometres, and the capture-recapture method turns two small samples into an estimate of a whole population - the ecologist's favourite proportion. This is the real knowscape from knowhere, not a picture of one. Drag it. Watch what actually changes.
Every question here is the same move: something you can't measure directly, reached through something you can. The triangle, the bearing, the scale plan, the recapture sample — each is a bridge from a length you can reach to one you can't. Measurement is indirect measurement.
Ratios maintain constant proportional relationships and can be used to estimate unknown quantities from partial samples, whether scaling distances on maps or estimating wildlife populations from tagged-and-recaptured animals.
knowhere maps every concept to what it rests on and what rests on it — 1 underneath this one, 0 built on top. Each one says why, in a sentence, not as an arrow on a diagram.
Each one is its own knowscape in the app — built for how a particular student takes things in, not one explanation handed to everybody.
Every HSC and VCE concept in knowhere is built like this one — mapped to your curriculum, never capped by it. Free for a week. No card tricks, no lecture.
Free for a week, then $49 once — the 2026 exam pass ends itself after the last exam. 0 days of the pass left.
Free for a week, then a plan you can stop any time.
not your card? send it to whoever's is.