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7th Grade Math / Lesson 2: Analyze Relationships

 ANALYZING RELATIONSHIPS What will we be learning in this lesson? In this lesson, you will look at the way variables change that are in a relationship. Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.

 ANALYZING RELATIONSHIPS In this section, we will discover what happens to one variable as another one changes. Look at the equation x + y = 12.  Use the numbers 1, 2, and 3 for the x-variable. What is happening to the y-variable with each of these x-values that are being used? When x is 1, then y must be 11 because 1 + 11 = 12. When x is 2, then y must be 10 because 2 + 10 = 12. When x is 3, then y must be 9 because 3 + 9 = 12. So as the x-values were getting bigger, what was happening to the y-values? As the x-values were getting bigger, the y-values were getting smaller.

 ANALYZING RELATIONSHIPS Look at the equation x + y = 12.  Use the numbers 1, 2, and 3 for the x-variable. What is happening to the y-variable with each of these x-values that are being used? When x is 1, then y must be 11 because 1 + 11 = 12. When x is 2, then y must be 10 because 2 + 10 = 12. When x is 3, then y must be 9 because 3 + 9 = 12. So as the x-values were getting bigger, what was happening to the y-values? As the x-values were getting bigger, the y-values were getting smaller.

 ANALYZING RELATIONSHIPS Look at the relationship x * y = 36. Determine what happens to the y-values that you could use as the x-values get smaller. 36 * ? = 36   9 * ? = 36   6 * ? = 36   2 * ? = 36

 ANALYZING RELATIONSHIPS x * y = 36 As the x-values decrease, the y-values increase.

 Can you determine how a change in one variable will change the other variable? Be sure to go back to your classroom to get any homework assignments or other activities you need to attend to.