Students write, simplify, generate, and compare ratios in colon, word, and fraction forms using positive whole-number and rational quantities, preserving the order and multiplicative relationship. They interpret rates and calculate and compare unit rates, including rates involving fractions and decimals, across tables, graphs, equations, and real-world contexts with appropriate units. Students recognize proportional relationships in tables, graphs, and equations, determine and interpret the constant of proportionality, solve proportions using equivalent ratios, and apply proportional reasoning to scale drawings while maintaining consistent units.
On this page:
- Master skills like “Simplify ratios”, “Calculate unit rates”, and “Generate equivalent ratios” with unlimited, free practice problems
- Download (or modify) free worksheets on Ratios, Rates, and Proportional Reasoning you can use at home or in class with practice problems across all skills in this group including “Solve scale drawing problems”, “Write ratios in multiple forms”, “Compare situations using unit rates”.
- Start working on adaptive units like “Rates and Ratios - Practice” or “Rates and Ratios - Advanced” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Ratios, Rates, and Proportional Reasoning: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Calculate unit rates
- Compare situations using unit rates
- Determine a constant of proportionality
- Generate equivalent ratios
- Interpret a rate as a comparison of quantities
- Recognize proportional relationships
- Simplify ratios
- Solve proportions using equivalent ratios
- Solve scale drawing problems
- Write ratios in multiple forms
Practice 'Calculate unit rates'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 8 'Ratios, Rates, and Proportional Reasoning' Worksheet
Print this free 'Ratios, Rates, and Proportional Reasoning' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Calculate unit rates
- Compare situations using unit rates
- Determine a constant of proportionality
- Generate equivalent ratios
- Interpret a rate as a comparison of quantities
- Recognize proportional relationships
- Simplify ratios
- Solve proportions using equivalent ratios
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Ratios, Rates, and Proportional Reasoning) through scaffolded problems that grow in difficulty as concepts are understood.