math · Grade 6
Ratios, Unit Rates & Proportional Reasoning
Understand ratio concepts, calculate unit rates, and solve authentic proportional reasoning word problems with step-by-step solutions.
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Learning goals
- Understand the concept of a unit rate a/b associated with a ratio a:b
- Calculate unit price and speed to compare consumer and real-world rates
- Use ratio reasoning to solve multi-step scaling and percentage problems
Before you begin
Compare quantities using multiplication and division.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
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1. Practice
Practice previewRatios, Unit Rates & Proportional Reasoning
Practice · Independent · 15 min
Understand ratio concepts, calculate unit rates, and solve authentic proportional reasoning word problems with step-by-step solutions.
Teaching and response guide
- Model the target skill: understand the concept of a unit rate a/b associated with a ratio a:b. Use the first task as a guided example before asking for an independent response.
- Check readiness first: Compare quantities using multiplication and division.
- Discuss an incorrect response using this distinction: An equivalent ratio scales both quantities by the same factor; adding the same number to both generally fails.
Watch for: An equivalent ratio scales both quantities by the same factor; adding the same number to both generally fails.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.
Possible next goals
Choose the next unit when its prerequisites fit your learner.