Independent and Dependent Variables

The lesson covers module 4, lesson 31, focusing on independent and dependent variables. It explains how independent variables change regardless of other factors, using time as an example. Dependent variables change based on independent variables. A word problem is introduced where students identify variables and create an equation. A table is used to organize data, and an equation is modeled to represent the situation. The lesson concludes with a summary and encourages students to prepare questions for the next class.

What is an independent variable?

• A variable that changes regardless of other factors

• A variable that remains constant

• A variable that is dependent on time

• A variable that changes based on another variable

Which of the following is an example of an independent variable?

• The number of books read

• The number of weeks

• The temperature

• The amount of rainfall

What defines a dependent variable?

• It is always a measure of time

• It changes regardless of other factors

• It changes based on the independent variable

• It remains constant

In the word problem, what is the independent variable?

• The number of books read

• The number of pages read

• The number of days

• The number of weeks

In the word problem, what is the dependent variable?

• The number of chapters

• The number of weeks

• The number of books read

• The number of days

How many books does Sarah read by the end of week three?

• 8 books

• 12 books

• 16 books

• 20 books

What is the total number of books read by the end of week six?

• 28 books

• 16 books

• 20 books

• 24 books

What is the equation that models the relationship between weeks and books read?

• B = 4 + W

• B = 4W

• B = W/4

• B = W - 4

If Sarah reads for 5 weeks, how many books will she have read?

• 24 books

• 20 books

• 28 books

• 16 books

Which of the following represents the correct way to express the equation for the word problem?

• B = W/4

• 4W = B

• B = W - 4

• B = 4 + W