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Analyze the Relationship Between Dependent and Independent Variables

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Analyze the Relationship Between Dependent and Independent Variables

TEKS Math: 8.5.I

(I) Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.

AU Math: ACMEM140

(Y11-12) Identify the dependent and independent variable (ACMEM140)

CCSS Math: 6.EE.9

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.

This algebra and functions lesson focuses on writing the equation of a linear function. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students identify each rule that could be applied to the x-value and result in the y-value. Then, they verify which rule is true by testing each on the next x-value in the table. Finally, they select the rule that makes the function true. In addition to the lesson, there are sixteen pages of Independent Practice and Periodic Reviews with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 8.5.I

(I) Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.

AU Math: ACMEM140

(Y11-12) Identify the dependent and independent variable (ACMEM140)

CCSS Math: 6.EE.9

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.


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