Math 10C Module 4: Lesson 1

Module 4: General Relations

 

Lesson 1: Sketching and Interpreting Graphs

Focus
This is a photo of three women hiking along a stream in the wilderness.

© Val Thoermer/shutterstock

Walking is an outdoor activity that can be enjoyed by people of all ages and fitness levels. You can walk at a brisk pace as a form of exercise, or you can go more slowly to take in the natural surroundings. Walking can be done in all kinds of weather.

Walking is a fun way to get fit and socialize, but did you know that it is also a competitive sport? Do an Internet search using the keywords “race walking” or “speed walking” to find out more about this sport. See if you can find out how a race walker distinguishes between fast walking and running.

Assume that you went for a two-hour hike. If you were to graph your progress, what variables would you consider? If you graphed your total distance travelled versus the time elapsed, what would your graph look like? How would you represent the parts of the hike that were faster or slower? How would you represent the rest periods?

In this lesson you will review how to create a graph. In addition, you will interpret graphs. You will match graphs to possible scenarios, and you will read a scenario and sketch a possible graph to fit the outline.

 

Outcomes

At the end of this lesson, you will be able to do the following:

  • Identify independent and dependent variables in a given context.

  • Describe a possible situation for a given graph.

  • Sketch a possible graph for a given situation.

Lesson Questions

  • How do you know whether a variable is dependent or independent?

  • How can a graph be used to describe a situation?

Lesson Completion and Assessment

As you work through each lesson, complete all the questions and learning activities in your binder using paper and pencil, clearly labeling your work (they refer to this as your course folder). These include the Are you Ready, Try This, Share and Self Check questions. Check your work if answers are provided. Remember that these questions provide you with the practice and feedback that you need to successfully complete this course.
Once you have completed all of the learning activities, take the Lesson Quiz. This is the assessment for each lesson and is located under the Assess tab or by using the Quizzes link under the Activities block.


** Note – Share questions may have to be done on your own depending on your learning situation**