Small-group support
Equivalent pairs lie on a ray through the origin.
| blue tiles | yellow tiles |
|---|---|
| 2 | 5 |
| 4 | ? |
Amina uses 2 blue tiles for every 5 yellow tiles at the mural wall. The same relationship has to hold for a larger amount.
Equivalent ratios of the form (first part, second part) lie on a straight ray through the origin. The point (2a, 2b) belongs. A nearby point such as (2a, 2b − 1) does not, even if it looks close, because it is not the same factor on both coordinates.
Problem 1 of 4. A short entry task, a model, guided examples, then a new independent try. Frames are optional.
| blue tiles | yellow tiles |
|---|---|
| 2 | 5 |
| 4 | ? |
A ratio table shows 2 blue tiles for every 5 yellow tiles. How many yellow tiles go with 4 blue tiles?
Support frame: Factor = 4 ÷ 2. Second part = 5 × factor.