## Description

- Overview:
- This is a multi-step problem since it requires more than two steps no matter how it is solved. The problem is not scaffolded for the student, but each step is straightforward and should follow from the previous with a careful reading of the problem.

- Level:
- Middle School
- Grades:
- Grade 7
- Material Type:
- Activity/Lab
- Author:
- Illustrative Mathematics
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

- License:
- Creative Commons Attribution
- Language:
- English
- Media Format:
- Downloadable docs, Text/HTML

## Endorsements

No endorsements yet.

this resource.

## Standards

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Standard: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Standard: 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 the total cost and the number of items can be expressed as t = pn.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsCluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Standard: 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.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsStandard: 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.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsStandard: 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.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsStandard: Recognize and represent proportional relationships between quantities.

Degree of Alignment: Not Rated (0 users)

# Common Core State Standards Math

Grade 7,Ratios and Proportional RelationshipsStandard: 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 (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems

Indicator: 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.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems

Indicator: 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 the total cost and the number of items can be expressed as t = pn.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems

Indicator: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Indicator: 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.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Indicator: 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 (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Indicator: Recognize and represent proportional relationships between quantities.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Indicator: 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.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems.

Indicator: Recognize and represent proportional relationships between quantities.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems.

Indicator: Solve multi-step real world and mathematical problems involving ratios and percentages.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard: Analyze proportional relationships and use them to solve real-world and mathematical problems.

Indicator: Compute unit rates, including those involving complex fractions, with like or different units.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard:

Indicator: Decide whether two quantities in a table or graph are in a proportional relationship.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard:

Indicator: Represent proportional relationships with equations.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard:

Indicator: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Ratios and Proportional Relationships

Standard:

Indicator: 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.

Degree of Alignment: Not Rated (0 users)

## Evaluations

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# Tags (9)

- Mathematics
- Reasoning and problem solving
- CCSS Math
- Education
- MS Math
- NSDL
- Ratios & Proportional Relationships
- Real World Math
- Word Problems

## Comments