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Grade 7 Ratios and Proportional Relationships Worksheets

Find unit rates, recognize proportional relationships, and connect equations, tables, and graphs. A proportional relationship has a constant ratio and a graph through the origin. Explain the units of the constant of proportionality instead of treating it as an unlabeled number.

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7 skills with 21 worksheet PDFs

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Grade 7 Ratios and Proportional Relationships

Unit Rates with Fractions

I can solve problems involving unit rates with fractions.

  • Worksheet 110 problems. Includes math models and calculations.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and working backward.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Recognizing Proportional Relationships

I can solve problems involving recognizing proportional relationships.

  • Worksheet 18 problems. Includes math models and calculations.
  • Worksheet 28 problems. Includes correcting mistakes and working backward.
  • Worksheet 38 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Finding the Constant of Proportionality

I can solve problems involving finding the constant of proportionality.

  • Worksheet 110 problems. Includes calculations and explaining your reasoning.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and explaining your reasoning.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Writing Equations for Proportional Relationships

I can solve problems involving writing equations for proportional relationships.

  • Worksheet 110 problems. Includes math models and explaining your reasoning.
  • Worksheet 210 problems. Includes correcting mistakes and working backward.
  • Worksheet 310 problems. Includes word problems and explaining your reasoning.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Graphing Proportional Relationships

I can solve problems involving graphing proportional relationships.

  • Worksheet 16 problems. Includes math models and calculations.
  • Worksheet 26 problems. Includes correcting mistakes and explaining your reasoning.
  • Worksheet 36 problems. Includes word problems and math models.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Applying Proportional Reasoning to Real-World Problems

I can solve problems involving applying proportional reasoning to real-world problems.

  • Worksheet 18 problems. Includes math models and explaining your reasoning.
  • Worksheet 28 problems. Includes correcting mistakes and working backward.
  • Worksheet 38 problems. Includes word problems and explaining your reasoning.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Grade 7 Ratios and Proportional Relationships

Proportional Reasoning with Scale Models

I can solve problems involving proportional reasoning with scale models.

  • Worksheet 16 problems. Includes math models and explaining your reasoning.
  • Worksheet 26 problems. Includes correcting mistakes and working backward.
  • Worksheet 36 problems. Includes word problems and explaining your reasoning.
View three worksheets PDF format. Answer keys and step-by-step solutions included.

Make one worksheet a useful practice session

Ask the student to estimate, solve, and explain a check. Use the worked solutions after an independent attempt, then choose a different worksheet to apply the same skill in another way.

Read each worksheet description before choosing a task. Worksheet numbers are not difficulty ratings. Use a different form to apply the skill in a new way, not just to repeat the same questions.

Explore Grade 7 lessons or find a short topic quiz. Grade-level sequences vary; select the skills that match the student's current work.

Which PDF pages should I print?

Print page 1 for students. Page 2 contains worked solutions. Page 3 has optional book recommendations and is not needed for the activity.

When should students use the answer key?

Try the questions independently first. Then compare the steps, explain a correction, and check the result with a model or another method.

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