6.NR.4Ratios and Proportional Reasoning

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

1. Kindergarten · K.NR.4

   Identify, write, represent, and compare numbers up to 20.

2. 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.

3. 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.

4. 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.

5. 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.