Students interpret ratios in context, distinguish part-to-part from part-to-whole comparisons, write them in words, colon, and fraction forms, and generate, simplify, and compare equivalent ratios by scaling both terms consistently. They interpret rates as multiplicative comparisons between quantities, calculate and compare unit rates involving positive whole numbers, decimals, and fractions, and distinguish rates from total amounts in contexts, tables, equations, and graphs. They recognize proportional relationships through constant ratios or unit rates, tables of equivalent ratios, equations of the form , and graphs that pass through the origin, and use scale factors or unit rates to solve missing-value problems.
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 “Interpret ratios in context”, “Compare situations using unit rates”, “Recognize proportional relationships”.
- Start working on adaptive units like “Rates and Ratios - Practice” or “Rates and Ratios - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Ratios, Rates, and Proportional Reasoning: Individual Skills
Master 9 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Calculate unit rates'
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Download/Modify Free Grade 7 '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 ratios using equivalent forms
- Compare situations using unit rates
- Generate equivalent ratios
- Interpret rates as comparisons of quantities
- Interpret ratios in context
- Recognize proportional relationships
- Simplify 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.