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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.