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# Standard #: 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.

### Examples

Example: A graph has a line that goes through the origin and the point (5,2). This represents a proportional relationship and the constant of proportionality is .

Example: Gina works as a babysitter and earns \$9 per hour. She can only work 6 hours this week. Gina wants to know how much money she will make. Gina can use the equation e=9h, where e is the amount of money earned, h is the number of hours worked and 9 is the constant of proportionality.

### General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 7
Strand: Algebraic Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved

#### Related Courses

 Course Number1111 Course Title222 1205040: M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current)) 1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7812020: Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))

#### Related Access Points

 Access Point Number Access Point Title MA.7.AR.4.AP.2 Identify the constant of proportionality when given a table or graph of a proportional relationship.

#### Formative Assessments

 Name Description Identifying Constant of Proportionality in Equations Students are asked to identify and explain the constant of proportionality in three different equations. Constant of Proportionality Trip Students are asked to identify and explain the constant of proportionality given a verbal description and a diagram representing a proportional relationship. Babysitting Graph Students are given a graph that models the hourly earnings of a babysitter and are asked to interpret ordered pairs in context. Finding Constant of Proportionality Students are asked to determine the constant of proportionality using a table and a graph.

#### Tutorial

 Name Description Interpreting Graphs of Proportional Relationships This video shows how to recognize and understand graphs of proportional relationships to find the constant of proportionality.

#### Tutorial

 Name Description Interpreting Graphs of Proportional Relationships: This video shows how to recognize and understand graphs of proportional relationships to find the constant of proportionality.

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