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7th Grade Math / Lesson 5: Linear vs. Non-Linear

LINEAR VS. NON-LINEAR
What will we be learning in this lesson?


  • In this lesson, you will look at the difference between linear and non-linear relationships.

    Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


Linear vs. Non-Linear


  • The word linear has the word line in it. Anything that is linear is just that - a line.

  • Linear equations, linear relationships, linear graphs, these all make lines.

  • Lines are straight with no bends in them. This is because they have a constant value in them. Like if you have a job and get paid $5 an hour. No matter how many hours you work, you get paid $5 for each hour. This is a constant pay rate, which makes this a linear relationship.

  • Anytime you have that constant rate involved, you have a linear relationship.


Linear vs. Non-Linear


  • The word non-linear then means not a line. Anything that is non-linear does not contain that piece that is constant.
  • Non-linear means that there is always a change which gives the graph of something non-linear some curves and bends.
  • Suppose you are buying candy bars. They are $.50 each. But if you buy 4 of them, you get one free. This changes what you are actually paying for each of the candy bars. Look at the chart.


  • Can you distinguish between a linear and a non-linear relationship?

  • Be sure to go back to your classroom to get any homework assignments or other activities you need to attend to.