Sixth Grade Ratios and Proportional Relationships

Rates, ratios and proportions, unit rates and using ratios to solve real word problems.  Just click on the blue links to display or print pdfs.

Practice Pages
Understand ratio concepts and use ratio reasoning to solve problems - Cluster 1

Standard 6.RP.1:  Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak."  "For every vote candidate A received, candidate C received nearly three votes."

Simple Ratios

Answers 6.RP.1.a

Simplify Ratios

Answers 6.RP.1.b

Standard 6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b unequal to 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.

Expectations for unit rates in this grade are limited to non-complex fraction.

Simple Rate Questions

Answers 6.RP.2.a

Rates as Fractions

Answers 6.RP.2.b

Standard 6.RP.3:   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 lines line diagrams or equations.

Unit Rate Table Comparison

Answers 6.RP.3.a

Percentage Problems

Answers 6.RP.3.b