(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

The standards within the Ratios and Proportional Relationships Domain require students to analyze proportional relationships and use them to solve real world and mathematical problems.

## 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-07.RP.01

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems MAT-07.RP.01 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½ / ¼ miles per hour, equivalently 2 miles per hour.

## Student Learning Targets:

### Knowledge Targets

• I know that a ratio is a comparison of two quantities using division
• I can identify equivalent ratios
• I can write a ratio in lowest terms

### Reasoning Targets

• I can create equivalent ratios
• I can write ratios to represent practical problems

### Skills Domain (Performance) Targets

• I can calculate a unit rate.

## Proficiency Scale

Link to Proficiency Scale PDF

## Resources

### Vocabulary

• unit rate
• ratio
• rate

#### MAT-07.RP.02

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems MAT-07.RP.02 Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

## Student Learning Targets:

### Knowledge Targets

• I can understand that a proportional relationship is when two ratios are equal

### Reasoning Targets

• I can determine when a proportional relationship is being represented
• I can determine that ratios are proportional if their cross products are equal

## Proficiency Scale

Link to Proficiency Scale PDF

## Resources

### Vocabulary

• ratio
• proportion
• cross products

#### MAT-07.RP.02.a

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

## Student Learning Targets:

### Reasoning Targets

• I can determine if two quantities are proportional using a variety of methods (tables, graphs, diagrams, equations, or verbal description

## Resources

### Vocabulary

• ratio
• proportion
• cross product

#### MAT-07.RP.02.b

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

## Student Learning Targets:

### Knowledge Targets

• I can understand that a proportional relationship is when two ratios are equal

### Reasoning Targets

• I can determine when a proportional relationship is being represented
• I can determine that ratios are proportional if their cross products are equal

### Vocabulary

• ratio
• proportion
• cross products

#### MAT-07.RP.02.c

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between total cost and the number of items can be expressed as t = pn.

## Student Learning Targets:

### Reasoning Targets

• I can use an equation to represent a proportional relationship.

## Resources

### Vocabulary

#### MAT-07.RP.02.d

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems Recognize and represent proportional relationships between quantities. MAT-07.RP.02.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

## Student Learning Targets:

### Knowledge Targets

• I can Identify the unit rate by using the point (1, r)

### Reasoning Targets

• I can explain what the point (0, 0) on the graph of a proportional relationship means
• I can explain what a point (x, y) on the graph of a proportional relationship means

### Vocabulary

Proportional Relationship, Constant of Proportionality, Unit Rate, Equivalent Ratios, and Origin.

#### MAT-07.RP.03

 7th Grade MAT Targeted StandardsDomain (RP) Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems MAT-07.RP.03 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

## Student Learning Targets:

### Knowledge Targets

• I know how to use proportions

### Reasoning Targets

• I can solve percent problems
• I can solve problems involving percent of change
• I can solve simple interest problems

## Proficiency Scale

Link to Proficiency Scale PDF

## Resources

### Vocabulary

• proportion
• percent
• discount
• markup
• interest
• simple interest
• percent of increase
• percent of decrease
• sale price