Introduction to Ratios & Proportional Relationships

Grades 6-8 / Math / Modeling
CCSS: Math.6.RP.A.3

Common Core State Standards




Grade 6


Ratios & Proportional Relationships


Understand ratio concepts and use ratio 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.

a. 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.

b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Download Common Core State Standards (PDF 1.2 MB)

In Partnership with


Lesson Objective

Create a model to show how two values compare to one another


8 min

Questions to Consider

  • How does modeling help students develop an understanding of proportional relationships?
  • What kinds of manipulatives do students work with?
  • If you were Ms. Morey, what would you teach these students next?

Common Core Standards


Watch all the videos in this series:

Collaborating Around Math: Before, During, and After Lessons

Developing a Math Team: Online and In Person

Supporting Materials

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  • Introduction to Ratios & Proportional Relationships Transcript

  • IM Lesson Plan: 6th Grade.PDF

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