Free throws
Maya made 3 of her 4 free throws. Leo made 5 of his 7. Who has the better shooting rate?
Asked: who has the better shooting rate (name). Is a: Compare two fractions. Answer: Maya (3/4 = 0.75 vs 5/7 ≈ 0.714).
| Phrase | Value | Counts | Needed? |
|---|---|---|---|
| “made 3” | 3 shots | Maya’s made shots | yes |
| “of her 4” | 4 shots | Maya’s attempts | yes |
| “made 5” | 5 shots | Leo’s made shots | yes |
| “of his 7” | 7 shots | Leo’s attempts | yes |
| Decision | Concept | Correct | Traps → wrong answer |
|---|---|---|---|
| What kind of question is this? | Recognize the question type | Whose rate is higher: compare two fractions | — |
| What is each player’s rate? | Find the pair that forms the ratio | Shots made out of shots taken | Just the shots made → Leo |
| Which way wins? | Which way wins | The bigger fraction made | The bigger fraction missed → Leo |
The graph starts at the story. The Extract frame holds the decisions; red dashed arrows leave a decision for each trap and run to the wrong answer it produces. The thick green arrow carries the extracted numbers into the question, drawn exactly as on the question’s own page. Any follow-up step comes after, then the answer in the story’s terms. The legend is at the bottom.
| Trap | Mistake | Leads to | Caught by the answer? | Gives itself away with |
|---|---|---|---|---|
| Find the pair that forms the ratio | Compares shots made only (5 > 3). | Leo | yes | — |
| Which way wins | Compares misses per shot and picks the bigger. | Leo | yes | 1 × 7 = 7, LCM(1, 2) = 2, 1 ÷ 4 = 0.25, 4 ÷ 1 = 4 |