Create an understanding of solving problems that require more than one equation. The instructional activity introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of equations that represent translations, changes in the rate, and both changes. The instructional activity is the 25th portion of a 33-part unit.

Concepts

systems of linear equations, graphing systems of equations, solving systems by graphing, system of equations word problems, systems of equations

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Additional Tags

math

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Instructional Ideas

• Use graphing software so the graphing does not get in the way of the conceptual understanding of simultaneous equations
• Have collaborative pairs create their own problems that can be solved using simultaneous equations

Classroom Considerations

• The class should be able to write linear equations to model a problem
• The lesson is the 25th portion of a 33-part unit

Pros

• The answer key shows the graphs used to solve the system
• Grids are provided on the handouts for graphing

Cons

• None

Common Core

8.EE.C.8.a MP2