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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.