What happens when equations are multiples of each other? Pupils see the process of solving a system of equations by graphing. The informative video example shows two equations written in different forms that are actually the same line. Learners realize that when two equations define the same line, there are infinite solutions.

Concepts

graphing systems of equations, solving systems by graphing, systems of equations, systems of linear equations

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Instructional Ideas

• Conduct a mini-lesson on methods to graph a line given the equation in standard form
• Lead a discussion on how to determine whether two equations are for the same line

Classroom Considerations

• Assumes individuals know how to evaluate linear equations

• This video is hosted on YouTube

Pros

• Reviews the three types of solutions possible with a linear system
• Uses two different methods to graph the lines

Cons

• None

Common Core

SL.8.2 SL.9-10.2 MP5 MP7 8.EE.C.8.a 8.EE.C.8.b HSA-REI.C.6