Use variables to represent two quantities in a real-world problem that change in relationship to one another

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
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6.EE.C.9

**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.

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.

What you'll learn

Identify the independent variable (input/controlled quantity) and the dependent variable (output/determined quantity) in a real-world situation, and explain why each variable belongs on its respective axis
Write an equation expressing the dependent variable in terms of the independent variable
Generate a table of ordered pairs by substituting values of the independent variable (starting at 0) into the equation
Plot ordered pairs from the table on the coordinate plane and interpret the graph -- identifying where the line starts (y-intercept as starting value) and how fast it rises (steepness as rate of change) -- in the context of the original problem

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Variables and two quantity relationships

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