Interpret Proportional Relationships
7th Grade
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Alabama Course of Study Standards:
1
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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.A.1
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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
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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
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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
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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
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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
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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
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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.A.2.a
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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 Career-Readiness Standards:
7.RP.2a
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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
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Determine whether two quantities presented in authentic problems are in a proportional relationship. |
North Carolina - Standard Course of Study:
7.RP.2.a
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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.
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New York State Next Generation Learning Standards:
7.RP.2.a
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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
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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.A.2.B
Kentucky Academic Standards (KAS):
7.RP.2.b
Mississippi College- and Career-Readiness Standards:
7.RP.2b
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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
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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
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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.A.2.C
Kentucky Academic Standards (KAS):
7.RP.2.c
Mississippi College- and Career-Readiness Standards:
7.RP.2c
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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
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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
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Create equations and graphs to represent proportional relationships. |
New York State Next Generation Learning Standards:
7.RP.2.c
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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
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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
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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.A.2.D
Kentucky Academic Standards (KAS):
7.RP.2.d
Mississippi College- and Career-Readiness Standards:
7.RP.2d
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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
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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
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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.
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Pennsylvania Core Standards:
CC.2.1.7.D.1
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Analyze proportional relationships and use them to model and solve real-world and mathematical problems. |
Pennsylvania Core Standards:
M07.A-R.1.1.1
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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.1.1.2
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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.1.1.3
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Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. |
Pennsylvania Core Standards:
M07.A-R.1.1.4
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Represent proportional relationships by equations. |
Pennsylvania Core Standards:
M07.A-R.1.1.5
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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
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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
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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.AR.4.3
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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.AR.4.4
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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
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Solve real-world problems involving proportional relationships. |
Georgia Standards of Excellence (GSE):
7.PAR.4.1
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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 of Excellence (GSE):
7.PAR.4.2
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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 of Excellence (GSE):
7.PAR.4.3
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Determine whether two quantities
presented in authentic problems
are in a proportional relationship. |
Georgia Standards of Excellence (GSE):
7.PAR.4.4
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Identify, represent, and use
proportional relationships. |
Georgia Standards of Excellence (GSE):
7.PAR.4.5
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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
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Determine the unit rate (constant of proportionality) from tables, graphs, equations, diagrams, or verbal descriptions of proportional relationships. |
Arkansas Academic Standards:
7.PR.2
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Calculate unit rates in real-world contexts that include complex fractions. |
Arkansas Academic Standards:
7.PR.4
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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
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Compare two different proportional relationships represented in different forms. |
Arkansas Academic Standards:
7.PR.6
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Create equations in the form of y = mx from tables, verbal descriptions, or graphs. |
Arkansas Academic Standards:
7.PR.7
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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
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Write an equation to express two quantities in terms of the dependent and independent variables. |
Arkansas Academic Standards:
7.ALG.5
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Describe the relationship between the dependent and independent variables in an equation using tables and graphs, relating these to the equation. |
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