---
title: "6.NR.4: Ratios and Proportional Reasoning (Georgia Mathematics standard)"
code: 6.NR.4
cite_as: Georgia Standards of Excellence, Mathematics, 6.NR.4
subject: math
grades:
  - grade-6
language: en
canonical_url: https://georgiahomeroom.org/standards/code/6.NR.4
md_url: https://georgiahomeroom.org/standards/code/6.NR.4.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/6.NR.4.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/grade-6.md
index: https://georgiahomeroom.org/standards/index.md
---

# 6.NR.4: Ratios and Proportional Reasoning

Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning.

- Subject: Mathematics
- Appears in: Grade 6, https://georgiahomeroom.org/standards/math/grade-6.md

## Expectations

- **6.NR.4.1**: Explain the concept of a ratio, represent ratios, and use ratio language to describe a relationship between two quantities.
- **6.NR.4.2**: 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.
- **6.NR.4.3**: Solve problems involving proportions using a variety of student-selected strategies.
- **6.NR.4.4**: Describe the concept of rates and unit rate in the context of a ratio relationship.
- **6.NR.4.5**: Solve unit rate problems including those involving unit pricing and constant speed.
- **6.NR.4.6**: Calculate a percent of a quantity as a rate per 100 and solve everyday problems given a percent.
- **6.NR.4.7**: Use ratios to convert within measurement systems (customary and metric) to solve authentic problems that exist in everyday life.

## Georgia Milestones coverage

- Mathematics Grade 6 (EOG). Numerical Reasoning. Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning. (about 14% of the test; 8 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Create a table of equivalent ratios. Match a percentage of a quantity to a rate per 100.
- **Developing**: Represent a ratio as the relationship between two quantities by using ratio language. Determine the missing value in a ratio table and plot the pairs of values from the table on the coordinate plane. Given a table of values or a graph, identify the unit rate. Find a whole when given a part and a part when given a whole. Determine what percentage one number is of another number.
- **Proficient**: Describe a ratio relationship between two quantities in the context of a realistic problem. Compare ratios using tables. Solve problems involving proportions. Describe the unit rate from a table or graph. Solve authentic unit rate problems. Solve authentic problems when given a percentage. Use ratios to convert within measurement systems (customary and metric) to solve authentic problems.
- **Distinguished**: Solve authentic complex problems involving ratios, proportions, rates, unit rates, percentages, and conversions within a measurement system, using tables and graphs, and explain the solutions in context.

## The same standard across grades

- Kindergarten, K.NR.4: Identify, write, represent, and compare numbers up to 20. https://georgiahomeroom.org/standards/code/K.NR.4.md
- Grade 3, 3.NR.4: Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models. https://georgiahomeroom.org/standards/code/3.NR.4.md
- Grade 4, 4.NR.4: Solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100 using part-whole strategies and visual models. https://georgiahomeroom.org/standards/code/4.NR.4.md
- Grade 5, 5.NR.4: Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems. https://georgiahomeroom.org/standards/code/5.NR.4.md
- **Grade 6, 6.NR.4 (this standard)**: Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.