Complete ratio tables by preserving the relationship between two quantities. Scale both values by the same factor rather than adding the same amount to each.
Start with whole-number ratio tables or choose a level involving halves. A missing table entry should fit every other pair, so the worksheet rewards checking the relationship as well as calculating a number.
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A mixture uses 2 cups of concentrate for every 3 cups of water. Doubling both values gives 4 cups to 6 cups; tripling gives 6 cups to 9 cups. Each pair keeps the ratio 2:3.
| Concentrate (cups) | Water (cups) |
|---|---|
| 2 | 3 |
| 4 | 6 |
| 6 | 9 |
In 2:3 = 4:__, the first quantity has doubled from 2 to 4. Double 3 to find the missing value, 6. Checking 4/6 = 2/3 confirms the relationship.
The ratio 2:3 above compares concentrate with water, not concentrate with the whole mixture. Concentrate is 2 of the 5 total cups. Keep the order and the units consistent.
Whole-number ratio reasoning is a sixth-grade starting point. Ratios involving fractional quantities connect with seventh-grade work. These worksheets focus on proportional tables, not on assuming that every increasing table has a constant ratio.