Proportional Relationships Practice Set for Grade 7
A 15-problem practice set for 7th graders where students find the constant of proportionality, solve for missing values in proportional equations, and write two equations (y = kx and x = y/k) for relationships shown in tables. It builds fluency with ratios, tables, and equation writing, and works well as independent practice or a homework set after a proportional relationships lesson.
“create 15 problems where the students have to find the constant of proportionality and find missing information within a proportional relationship equation. The students also need to write two equations to represent the proportional relationship modeled in the table”
Teacher Guide & Tips
- Use this as independent practice after a mini-lesson on the constant of proportionality, or as a 45-minute station or homework assignment once students have seen y = kx.
- Discussion question: Why does dividing any y-value by its matching x-value always give the same number, and what would tell you a table is NOT proportional?
- Scaffold for struggling readers: Have them complete part (a) for every problem first, circling the bottom-row value and top-row value they divide, before attempting the two equations.
- Extension for advanced students: Ask them to explain why y = kx and x = (1/k)y describe the same relationship, or to create a real-world context that matches one of the tables.
- Estimated time: about 30 to 40 minutes for all 15 problems, depending on how much checking students do.
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Try Diffit for free“create 15 problems where the students have to find the constant of proportionality and find missing information within a proportional relationship equation. The students also need to write two equations to represent the proportional relationship modeled in the table”
Teacher Guide & Tips
- Use this as independent practice after a mini-lesson on the constant of proportionality, or as a 45-minute station or homework assignment once students have seen y = kx.
- Discussion question: Why does dividing any y-value by its matching x-value always give the same number, and what would tell you a table is NOT proportional?
- Scaffold for struggling readers: Have them complete part (a) for every problem first, circling the bottom-row value and top-row value they divide, before attempting the two equations.
- Extension for advanced students: Ask them to explain why y = kx and x = (1/k)y describe the same relationship, or to create a real-world context that matches one of the tables.
- Estimated time: about 30 to 40 minutes for all 15 problems, depending on how much checking students do.
Proportional Relationships Practice Set for Grade 7
A 15-problem practice set for 7th graders where students find the constant of proportionality, solve for missing values in proportional equations, and write two equations (y = kx and x = y/k) for relationships shown in tables. It builds fluency with ratios, tables, and equation writing, and works well as independent practice or a homework set after a proportional relationships lesson.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free