Florida B.E.S.T. MA.6.AR.3.5
The Standard
Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use tables, diagrams, or equations to find equivalent ratios and rates. They calculate amounts for one unit and use those values to compare situations. They also convert measurements within one system before solving.
What Mastery Looks Like
- Students find missing values in ratio tables and calculate unit rates with correct units. They compare recipes, prices, speeds, or lengths and explain their choice. They convert measurements before comparing when needed.
Common Misconceptions
- Students may reverse the order of a ratio or attach the wrong unit to a rate. They may add the same amount to both terms instead of multiplying both by the same factor. They may compare values before converting measurements to the same unit.
How to Assess It
- Exit ticket: A 12-ounce drink contains 3 ounces of concentrate, while a 20-ounce drink contains 4 ounces. Which is stronger? Show unit rates.
Lesson moves
Ways to Teach It
Mix colored water in 1:3 and 2:5 concentrate-to-water ratios, then measure one-cup samples and rank their strength.
Students answer the prompt, “Is 3 cups for 8 people equivalent to 6 cups for 15 people?” using a ratio table.
Run a card match with ratio tables, double number lines, unit rates, and equivalent situations, then have pairs explain each match.
Compare grocery prices per ounce, converting pounds to ounces when needed, and choose the better buy.
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Related Standards
- MA.7.AR.3.2
Apply previous understanding of ratios to solve real-world problems involving proportions.
- MA.6.AR.3.2
Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.
- MA.7.AR.3.3
Solve mathematical and real-world problems involving the conversion of units across different measurement systems.
- MA.6.AR.3
Understand ratio and unit rate concepts and use them to solve problems.
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