Lesson 1: Solving Linear Systems by Graphing
Module 7: Systems of Linear Equations
Lesson 1: Solving Linear Systems by Graphing
Focus
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Photography is a popular hobby that appeals to many people. There are many reasons to get into photography. Some people enjoy capturing the special moments of their lives shared with family and friends. Others like to use photography as a way to explore their creative side. Whether you are shooting photos of a graduation ceremony or a floral arrangement, you will want a camera that serves your needs and budget.
Suppose you and a friend decide to pool your money to buy a camera together. You have been placed in charge of shopping for the right camera. You know that your friend wants a camera that can take high-quality images and is affordable. At the same time, you want to have a camera that is lightweight and has the ability to record video. When you go to the stores to look at cameras, you must keep these conditions in mind. The camera you purchase should meet all of these conditions.
In this lesson you will be introduced to systems of equations, also known as linear systems. Solving a system of equations is similar to the situation described above. Just as the camera you choose must meet all conditions, the correct solution of a system must satisfy all equations in the system. In this lesson you will learn how to solve a linear system by graphing.
Outcomes
At the end of this lesson, you will be able to
- determine and verify the solution of a system of linear equations graphically, with and without technology
- explain the meaning of the point of intersection of a system of linear equations
Lesson Questions
- What is meant by the solution of a system of equations?
- How is solving a mathematical problem different from verifying a solution to the problem?
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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