6.RP.2: Understanding and Applying Unit Rates in Ratio Relationships

Grade: 6th Grade

Domain: RP: Ratios and Proportional Relationships

Standard Description

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”

Domain Description

Grasp the idea of a ratio and use the language of ratios to express the relationship between two measurements. Like saying, for every two bird wings, there is one beak, or for each vote for candidate A, candidate C gets almost three. Comprehend the concept of a unit rate and use it in the context of a ratio. For instance, in a recipe with a 3:4 flour to sugar ratio, each cup of sugar requires 3/4 cup of flour, and $75 for 15 hamburgers means each burger costs $5. Be capable of creating tables of equivalent ratios for whole numbers, locating missing table values, and comparing ratios using these tables.

Solve problems related to unit rates, like unit pricing or speed. As an example, if four lawns are mowed in seven hours, how many can be mowed in 35 hours and at what speed? Calculate a percentage of a quantity as a rate out of 100, like 30% of a quantity equates to 30/100 of it. Solve problems involving finding the total amount from a given part and percentage. Use ratio logic to switch between measurement units and skillfully adjust and alter units when multiplying or dividing quantities.