6.RP.A.3 — Use Ratio and Rate Reasoning to Solve Problems
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
What students need to learn
Understand and use ratios and rates in context
FoundationalStudents identify the relationship between two quantities and describe that relationship using ratio and rate language. They connect the numbers in a problem to units and context so the comparison makes sense.
Represent equivalent ratios in tables
CoreStudents build and analyze tables to find equivalent ratios and notice multiplicative relationships between paired values. They use tables to predict missing values and solve comparison problems.
Model ratio relationships with visual representations
CoreStudents use tape diagrams and double number lines to show how quantities relate and scale together. These models help students see equal groups, unit rates, and equivalent relationships clearly.
Write and use equations to solve ratio and rate problems
CoreStudents represent ratio relationships with equations and use them to find unknown values. They connect equations to tables and diagrams so symbolic work stays grounded in meaning.
Apply ratio and rate reasoning to real-world problems
ExtensionStudents solve contextual problems such as unit pricing, measurement comparisons, and scaling situations. They explain their reasoning and choose a strategy that matches the structure of the problem.
I can use ratios and rates to solve real-world and math problems with tables, diagrams, double number lines, and equations.
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