2-2 Introducing Proportional Relationships with Tables
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Students will use tables of values to identify proportional relationships, determine the constant of proportionality, and distinguish proportional from non-proportional relationships.
Lesson Overview
Students progress from reading ratios in a completed table to identifying, testing, and creating proportional relationships using the constant of proportionality — working collaboratively at vertical surfaces through five thin-sliced tasks.
Materials
- Vertical whiteboards or chart paper
- Dry-erase markers (multiple colors)
- Pencil and paper for notes
Scaffolded Task Progression
| Time (hours) | Distance (miles) |
|---|---|
| 1 | 55 |
| 2 | 110 |
| 3 | 165 |
| 4 | 220 |
1. Find the ratio distance ÷ time for each row.
2. What is the constant of proportionality?
3. Write the equation relating distance and time .
| Sugar (cups) | Flour (cups) |
|---|---|
| 2 | 3 |
| 4 | ? |
| 6 | ? |
| 10 | ? |
1. Find the constant of proportionality (flour ÷ sugar).
2. Complete the table.
3. Write the equation relating flour and sugar .
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