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Ratio Realm
Pairs that scale together, percents, and a city that grows by a factor rather than by a lucky add.
Gates you can reach in any order: Market, Roads, Dispatch, Banners, Maps.
1. Market Mix
MarketA market mix keeps a ratio. You choose a stall, then whether to scale by multiplying or by adding.
Grades 6 · ratios
2. The Ratio Table Caravan
RoadsA caravan's table must stay proportional row by row. You choose a road, then fill the missing cell.
Grades 6 · ratio-tables
3. Double Number Road
RoadsTwo scales run along one road. You choose a pairing, then read straight across.
Grades 6 · double-number-line
4. Unit Rate Dispatch
DispatchA dispatch must be per one hour or per one crate. You choose the job, then find the unit rate by equal sharing.
Grades 6, 7 · unit-rates
5. Proportional Routes
RoadsThree routes claim to be proportional. You choose with a test, then reject an additive lookalike.
Grades 7 · proportions
6. Percent Banners
BannersBanners are hundred-grids. You choose a percent to shade, then whether percent means per 100.
Grades 6 · percent
7. The Discount Storm
MarketA storm sale takes a percent of a price. You choose a stall, then compute the percent of the quantity rather than the percent number alone.
Grades 6, 7 · percent-of
8. Scale the City
MapsA map scale and a percent change both resize the city. You choose a scale factor, then a percent change that is not the raw difference.
Grades 7 · scale