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Represent Relationships [2 variables]

6th Grade

Alabama Course of Study Standards: 21

Identify, represent, and analyze two quantities that change in relationship to one another in real-world or mathematical situations.
  1. Use tables, graphs, and equations to represent the relationship between independent and dependent variables.

Arkansas Academic Standards: 6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another:
  • Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable
  • Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation
For example: In a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

Note: The independent variable is the variable that can be changed; the dependent variable is the variable that is affected by the change in the independent variable.

Arizona - K-12 Academic Standards: 6.EE.C.9

Use variables to represent two quantities that change in relationship to one another to solve mathematical problems and problems in real-world context. Write an equation to express one quantity (the dependent variable) in terms of the other quantity (the independent variable). Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Common Core State Standards: Math.6.EE.9 or 6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

Mississippi College- and Career-Readiness Standards: 6.EE.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another.
  • Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
  • Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

North Carolina - Standard Course of Study: 6.EE.9

Represent and analyze quantitative relationships by:
  • Using variables to represent two quantities in a real-world or mathematical context that change in relationship to one another.
  • Analyze the relationship between quantities in different representations (context, equations, tables, and graphs).

New York State Next Generation Learning Standards: 6.EE.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another.
e.g., In a problem involving motion at constant speed, list and graph ordered pairs of distances and times.
Given a verbal context and an equation, identify the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
e.g., Given the equation d = 65t to represent the relationship between distance and time, identify t as the independent variable and d as the dependent variable.

Tennessee Academic Standards: 6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another. For example, Susan is putting money in her savings account by depositing a set amount each week (50). Represent her savings account balance with respect to the number of weekly deposits (s = 50w, illustrating the relationship between balance amount s and number of weeks w).
  1. Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
  2. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Wisconsin Academic Standards: 6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

Pennsylvania Core Standards: CC.2.2.6.B.3

Represent and analyze quantitative relationships between dependent and independent variables.

Pennsylvania Core Standards: M06.B-E.3.1.1

Write an equation to express the relationship between the dependent and independent variables

Pennsylvania Core Standards: M06.B-E.3.1.2

Analyze the relationship between the dependent and independent variables using graphs and tables and/or relate these to an equation

6th Grade Math - Represent Relationships [2 variables] Lesson
 
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