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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.

Arizona Academic Standards: 7.RP.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.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: 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 real-world 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.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.

Arizona Academic Standards: 7.RP.A.2a

Tennessee Academic Standards: 7.RP.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.2.a

Kentucky Academic Standards (KAS): 7.RP.2.a

Mississippi College- and Career-Readiness 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: 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.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.

Arizona Academic Standards: 7.RP.A.2b

Common Core State Standards: Math.7.RP.2b or 7.RP.2.b

Kentucky Academic Standards (KAS): 7.RP.2.b

Mississippi College- and Career-Readiness Standards: 7.RP.2b

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

Georgia Standards: 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.

Arizona Academic Standards: 7.RP.A.2c

Common Core State Standards: Math.7.RP.2c or 7.RP.2.c

Kentucky Academic Standards (KAS): 7.RP.2.c

Mississippi College- and Career-Readiness 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: 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.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.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.

Arizona Academic Standards: 7.RP.A.2d

Common Core State Standards: Math.7.RP.2d or 7.RP.2.d

Kentucky Academic Standards (KAS): 7.RP.2.d

Mississippi College- and Career-Readiness 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: 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.2.7.D.1

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

Pennsylvania Core Standards: M07.A-R.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.A-R.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.A-R.1.3

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

Pennsylvania Core Standards: M07.A-R.1.4

Represent proportional relationships by equations.

Pennsylvania Core Standards: M07.A-R.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.7.4.1

Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

Florida - Benchmarks for Excellent Student Thinking: MA.7.4.2

Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship.

Florida - Benchmarks for Excellent Student Thinking: MA.7.4.3

Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.

Florida - Benchmarks for Excellent Student Thinking: MA.7.4.4

Given any representation of a proportional relationship, translate the representation to a written description, table or equation.

Florida - Benchmarks for Excellent Student Thinking: MA.7.4.5

Solve real-world problems involving proportional relationships.

Georgia Standards: 7.PAR.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.

Georgia Standards: 7.PAR.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.

Georgia Standards: 7.PAR.3

Determine whether two quantities presented in authentic problems are in a proportional relationship.

Georgia Standards: 7.PAR.4

Identify, represent, and use proportional relationships.

Georgia Standards: 7.PAR.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.

Arkansas Academic Standards: 7.PR.1

Determine the unit rate (constant of proportionality) from tables, graphs, equations, diagrams, or verbal descriptions of proportional relationships.

Arkansas Academic Standards: 7.PR.2

Calculate unit rates in real-world contexts that include complex fractions.

Arkansas Academic Standards: 7.PR.4

Determine whether two quantities represent proportional relationships by using equivalent ratios in a table and by graphing on a coordinate plane.

Arkansas Academic Standards: 7.PR.5

Compare two different proportional relationships represented in different forms.

Arkansas Academic Standards: 7.PR.6

Create equations in the form of y = mx from tables, verbal descriptions, or graphs.

Arkansas Academic Standards: 7.PR.7

Given a graph with a proportional relationship, explain the meaning of a point (x, y) on the graph, including the origin (0, 0) and the unit rate (1, r).

Arkansas Academic Standards: 7.ALG.4

Write an equation to express two quantities in terms of the dependent and independent variables.

Arkansas Academic Standards: 7.ALG.5

Describe the relationship between the dependent and independent variables in an equation using tables and graphs, relating these to the equation.

7th Grade Math - Interpret Proportional Relationships Lesson
 




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