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.
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.
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.