The RatioRealm cast
Each friend shows you one idea by how they act. Meet them all and see how the ideas fit together.
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Pair the Ratio-Speaker Simple ratios (a:b) — the foundational "for every A, there are B" pattern -
Scale the Doubler Equivalent ratios (scaling both parts by the same factor; recipe-doubling primitive) -
Unit the Per-One-Counter Rates and unit rates (the per-one normalization that lets us compare different rates) -
Cross the Proportion-Solver Proportions and cross-multiplication (the canonical "if a/b = c/d then ad = bc" mechanic) -
Centa the Percent-Translator Percentages — the per-hundred special case + percent change -
Crux the Two-Directions Direct versus inverse proportion (when one goes up, the other goes up — or down) -
Keel the Constant-Keeper The constant of proportionality (the fixed number that links the two quantities) -
Portion the Fair-Divider Sharing a quantity in a given ratio (splitting fairly by parts) -
Splay the Scale-Keeper Scale factor (scale drawings, maps, and models) -
Warp the Part-and-Whole Namer Part-to-part versus part-to-whole ratios (naming what is compared to what)