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6th Grade Ratio and Proportion Key Understandings KU1. Multiplicative relationship KU2. Comparing two quantities or measures (part-to-whole or part-to-part) KU3. Unit rates as a reference point (part-to-one) KU4. Contextual problem-solving KU5. Fractions, decimals, and percents Key Understanding Multiplicative relationship 6.RP.1 Know Understand the concept of a ratio Do Use ratio language to describe a ratio relationship between two quantities Comparing two quantities or measures (part-to-whole or part-to-part) 6.RP.1 Unit rates as a reference point (part-to-one) 6.RP.2 6.RP.3b Understand the concept of a ratio Use ratio language to describe a ratio relationship between two quantities. Understand the concept of a unit rate a/b associated with a ratio a:b with b≠0 Use rate language in the context of a ratio relationship Contextual problem-solving 6.RP.3 6.RP.3a Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane Use tables to compare ratios Fractions, decimals, and percents 6.RP.3 6.RP.3c 6.RP.3d Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Find a percent of a quantity as a rate per 100 Solve problems involving finding the whole given a part and the percent Use ratio reasoning to convert measurement units Manipulate and transform units appropriately when multiplying or dividing quantities