Math 10C Module 7: Lesson 2

Module 7: Systems of Linear Equations

Lesson 2: Modelling Linear Systems

Focus

This shows a photo of three youth wearing blue shirts with the word Volunteer across the front. Two of the youths are holding shovels.

Creatas/Thinkstock

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Volunteerism is the act of serving others without pay or material gain. When you volunteer, either as an individual or as part of a team, you are freely giving your time and talents to a worthwhile cause. Volunteer opportunities for young and old can be found in hospitals, children’s camps, music and arts festivals, charities, and environmental organizations, to name just a few. You can also volunteer closer to home by doing yard work for an elderly neighbour, tutoring a younger student, or coaching a community team.

Volunteering is a productive way to spend your leisure time. Even though you do not receive financial compensation for your service, volunteering offers other valuable benefits. These benefits include finding out about different career paths, gaining work experience, learning new skills, and making connections with other people.

In this lesson you will continue to study linear systems. You will analyze information and write linear equations to model problems. Many of the math problems that you will encounter in this lesson are based on actual volunteer projects and volunteerism in general. Perhaps you will be inspired to help out in your own community!

Outcomes

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

  • model a situation using a system of linear equations
  • relate a system of linear equations to the context of a problem
Lesson Questions
  • How do you decide what parts of a problem should be represented by variables?
  • How do you organize the information you need to create a linear system?
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 Activities block on the left in moodle or under the Assess tab.


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

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