Lesson 1

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1. Lesson 1

Mathematics 30-3 Module 3

Module 3: Algebra


Lesson 1: Linear Relations in Tables and Graphs




This is a picture of multiple cars parked beside each other.

© karaboux/3536754/Fotolia

There are many factors to consider when you are planning to buy a new car. These include purchase price, safety, comfort, style, handling, and fuel consumption. For many people, fuel consumption is high on the list of considerations. A linear function graph, which compares the fuel consumption of a Smart car to that of a Volvo, is shown. How could you determine which car is more fuel efficient?


This graph shows two linear relations comparing gas consumption versus distance travelled for two kinds of cars, a Volvo and a Smart car.

Some consumers find this type of graph very useful when choosing a vehicle. This leads you into the lesson on linear relations in tables and graphs.


Lesson Outcomes


At the end of this lesson you will be able to

  • determine whether a graph, table of values, number pattern, or scatterplot is linear, nonlinear, or has no trend
  • relate slope and rate of change to linear relations
Lesson Questions


You will investigate the following questions:

  • How can you distinguish a linear relation from a nonlinear relation?
  • How can you identify a linear relation?
  • How can slope be used to solve problems?


Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 1 Assignment (Download the Lesson 1 Assignment and save it in your course folder now.)
  • course folder submissions from Try This and Share activities
  • additions to Glossary Terms and Formula Sheet
  • work under Project Connection

Self-Check activities are for your own use. You can compare your answers to suggested answers to see if you are on track. If you have difficulty with concepts or calculations, contact your teacher.


Remember that the questions and activities you will encounter provide you with the practice and feedback you need to successfully complete this course. You should complete all questions and place your responses in your course folder. Your teacher may wish to view your work to check on your progress and to see if you need help.


Materials and Equipment


You will need