7.2.7 Proportional Relationships: From Unit Rates to Equations
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Students will identify, represent, and interpret proportional relationships using tables, graphs, and equations, including finding unit rates and the constant of proportionality.
Lesson Overview
Students progress from identifying unit rates in simple tables to writing and interpreting proportional equations in real-world contexts, changing only one layer of complexity at a time across 8 tasks.
Materials
- Vertical whiteboards or large chart paper
- Dry-erase markers (one per student)
- Pencils and paper
Scaffolded Task Progression
| Time (s) | Distance (m) |
|---|---|
| 1 | 25 |
| 2 | 50 |
| 3 | 75 |
| 4 | 100 |
What is the distance traveled per second? Show how you found it.
| Time (s) | Distance (m) |
|---|---|
| 1 | 30 |
| 2 | 60 |
| 3 | 90 |
| 4 | 120 |
Is this relationship proportional? How do you know? What is the unit rate?
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