Interpret Proportional Relationships
7th Grade


Alabama Course of Study Standards:
1

Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or
fractions. 
Arkansas Academic Standards:
7.RP.A.1

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. 
Arizona  K12 Academic Standards:
7.RP.A.1

Compute unit rates associated with ratios involving both simple and complex fractions, including ratios of quantities measured in like or different units. 
Common Core State Standards:
Math.7.RP.1 or 7.RP.A.1

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. 
Georgia Standards of Excellence (GSE):
7.PAR.4.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units presented in realistic problems. 
North Carolina  Standard Course of Study:
7.RP.1

Compute unit rates associated with ratios of fractions to solve realworld and mathematical problems. 
New York State Next Generation Learning Standards:
7.RP.1

Compute unit rates associated with ratios of fractions. e.g., If a person walks 1/2 mile in each 1/4 hour, compute the rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour with 2 being the unit rate. Note: Problems may include ratios of lengths, areas, and other quantities measured in like or different units, including across measurement systems. 
Wisconsin Academic Standards:
7.RP.A.1

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. 
Alabama Course of Study Standards:
2.a

Represent a relationship between two quantities and determine whether the two quantities are related
proportionally. 
Arkansas Academic Standards:
7.RP.A.2.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) 
Arizona  K12 Academic Standards:
7.RP.A.2a
Tennessee Academic Standards:
7.RP.A.2.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). 
Common Core State Standards:
Math.7.RP.2a or 7.RP.A.2.A
Kentucky Academic Standards (KAS):
7.RP.2.a
Mississippi College and CareerReadiness Standards:
7.RP.2a

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. 
Georgia Standards of Excellence (GSE):
7.PAR.4.3

Determine whether two quantities presented in authentic problems are in a proportional relationship. 
North Carolina  Standard Course of Study:
7.RP.2.a

Understand that a proportion is a relationship of equality between ratios. Represent proportional relationships using tables and graphs.
 Recognize whether ratios are in a proportional relationship using tables and graphs.
 Compare two different proportional relationships using tables, graphs, equations, and verbal descriptions.

New York State Next Generation Learning Standards:
7.RP.2.a

Decide whether two quantities are in a proportional relationship. Note: Strategies include but are not limited to the following: testing for equivalent ratios in a table and/or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. 
Alabama Course of Study Standards:
2.b

Identify the constant of proportionality (unit rate) and express the proportional relationship using multiple
representations including tables, graphs, equations, diagrams, and verbal descriptions. 
Arkansas Academic Standards:
7.RP.A.2.B

Identify unit rate (also known as the constant of proportionality) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships 
Arizona  K12 Academic Standards:
7.RP.A.2b
Common Core State Standards:
Math.7.RP.2b or 7.RP.A.2.B
Kentucky Academic Standards (KAS):
7.RP.2.b
Mississippi College and CareerReadiness Standards:
7.RP.2b

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 
Georgia Standards of Excellence (GSE):
7.PAR.4.2

Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to solve realistic problems. 
North Carolina  Standard Course of Study:
7.RP.2.b

Identify the unit rate (constant of proportionality) within two quantities in a proportional relationship using tables, graphs, equations, and verbal descriptions. 
Arkansas Academic Standards:
7.RP.A.2.C

Represent proportional relationships by equations (e.g., 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) 
Arizona  K12 Academic Standards:
7.RP.A.2c
Common Core State Standards:
Math.7.RP.2c or 7.RP.A.2.C
Kentucky Academic Standards (KAS):
7.RP.2.c
Mississippi College and CareerReadiness Standards:
7.RP.2c

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. 
Georgia Standards of Excellence (GSE):
7.PAR.4.6

Solve everyday problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 
North Carolina  Standard Course of Study:
7.RP.2.c

Create equations and graphs to represent proportional relationships. 
New York State Next Generation Learning Standards:
7.RP.2.c

Represent a proportional relationship using an equation. e.g., 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. 
Wisconsin Academic Standards:
7.RP.A.2.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 the total cost and the number of items can be expressed as t = pn. 
Alabama Course of Study Standards:
2.c

Explain in context the meaning of a point (x,y) on the graph of a proportional relationship, with special
attention to the points (0,0) and (1, r) where r is the unit rate. 
Arkansas Academic Standards:
7.RP.A.2.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
Note: Unit rate connects to slope concept in 8th grade. 
Arizona  K12 Academic Standards:
7.RP.A.2d
Common Core State Standards:
Math.7.RP.2d or 7.RP.A.2.D
Kentucky Academic Standards (KAS):
7.RP.2.d
Mississippi College and CareerReadiness Standards:
7.RP.2d

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. 
Georgia Standards of Excellence (GSE):
7.PAR.4.5

Use context to 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. 
North Carolina  Standard Course of Study:
7.RP.2.d

Use a graphical representation of a proportional relationship in context to: Explain the meaning of any point (x, y).
 Explain the meaning of (0, 0) and why it is included.
 Understand that the ??coordinate of the ordered pair (1, r) corresponds to the unit rate and explain its meaning.

Pennsylvania Core Standards:
CC.2.1.7.D.1

Analyze proportional relationships and use them to model and solve realworld and mathematical problems. 
Pennsylvania Core Standards:
M07.AR.1.1.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. 
Pennsylvania Core Standards:
M07.AR.1.1.2

Determine whether two quantities are proportionally related (e.g., by testing for equivalent ratios in a table, graphing on a coordinate plane and observing whether the graph is a straight line through the origin). 
Pennsylvania Core Standards:
M07.AR.1.1.3

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 
Pennsylvania Core Standards:
M07.AR.1.1.4

Represent proportional relationships by equations. 
Pennsylvania Core Standards:
M07.AR.1.1.5

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. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.AR.4.1

Determine whether two quantities have a proportional relationship by examining a table, graph or written description. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.AR.4.2

Determine the constant of proportionality within a mathematical or realworld context given a table, graph or written description of a proportional relationship. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.AR.4.3

Given a mathematical or realworld context, graph proportional relationships from a table, equation or a written description. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.AR.4.4

Given any representation of a proportional relationship, translate the representation to a written description, table or equation. 
Florida  Benchmarks for Excellent Student Thinking:
MA.7.AR.4.5

Solve realworld problems involving proportional relationships. 
