(RP) Ratios and Proportional Relationships Categories All categories Not categorized Prioritized Standards (EE) Expressions and Equations (G) Geometry (NS) The Number System (RP) Ratios and Proportional Relationships (SP) Statistics and Probability

# Ratios and Proportional Relationships

## Narrative for (RP) Ratios and Proportional Relationships

In the future this will contain narratives and other information about the Domain.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-06.RP.01

Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

MAT-06.RP.01 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.”

## Student Learning Targets:

• I can
• I can

• I can
• I can

• I can
• I can

### Product Targets

• I can
• I can
Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-6.1.1 Use a fraction to represent parts of a whole, division, or a ratio

**MAT-7.1.1 Use ratios and proportions to represent relationships

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

#### MAT-06.RP.02

Domain (RP) Ratios and Proportional Relationships
Cluster: TOPIC

MAT-06.RP.02 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.”

## Student Learning Targets:

• I can
• I can

• I can
• I can

• I can
• I can

### Product Targets

• I can
• I can
Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-8.5.6 Solve problems involving rates; i.e., speed equals distance divided by time (miles per hour)

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

#### MAT-06.RP.03

 6th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Understand ratio concepts and use ratio reasoning to solve problems MAT-06.RP.03 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 wholenumber 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. 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.

## Student Learning Targets:

### Knowledge Targets

• I can convert ratios to percents.

### Reasoning Targets

• I can determine the relationship between two or more ratios.
• I can determine equivalent ratios.
• I can determine equivalent relationships between ratios.
• I can compare equivalent ratios to find missing values in a table.
• I can solve real world problems involving ratios and rates.
• I can solve real-world problems involving ratios and percents.
• I can determine if rates are equivalent.

### Skills Domain (Performance) Targets

• I can make tables of equivalent ratios relating quantities with whole-number measurements.
• I can graph points of equivalent ratios on a coordinate plan.
• I can calculate unit rates.
• I can manipulate units appropriately when multiplying and dividing.
• I can establish ratios to convert measurements within a system.

## Proficiency Scale

Please refer to the proficiency scales attached to standards MAT-06.RP.3b | MAT-06.RP.3cMAT-06.RP.3d |

## Resources

### Websites

#### MAT-06.RP.03.a

 6th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: 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. MAT-06.RP.03.a Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

## Student Learning Targets:

### Reasoning Targets

• I can determine the relationship between two or more ratios.
• I can determine equivalent ratios.
• I can determine equivalent relationships between ratios.
• I can compare equivalent ratios to find missing values in a table.

### Skills Domain (Performance) Targets

• I can graph points of equivalent ratios on a coordinate plane.

### Product Targets

• I can make tables of equivalent ratios relating quantities with whole-number measurements.

## Resources

### Websites

#### MAT-06.RP.03.b

 6th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: 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. MAT-06.RP.03.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?

## Student Learning Targets:

### Skills Domain (Performance) Targets

• I can calculate unit rates.
• I can solve real world problems involving ratio and rate.

## Resources

### Websites

#### MAT-06.RP.03.c

 6th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: 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. MAT-06.RP.03.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.

## Student Learning Targets:

### Reasoning Targets

• I can convert ratios to percents.

### Skills Domain (Performance) Targets

• I can solve real-world problems involving ratios and percents.

## Resources

### Websites

#### MAT-06.RP.03.d

 6th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: 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. MAT-06.RP.03.d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

## Student Learning Targets:

### Reasoning Targets

• I can determine if rates are equivalent.

### Skills Domain (Performance) Targets

• I can manipulate units appropriately when multiplying and dividing.
• I can establish ratios to convert measurements within a system.