How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of equations that consider octane level, price, and the size of a tank.

Concepts

systems of linear equations, matrices, inverse matrices, systems of equations

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Additional Tags

math

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Instructional Ideas

• Assign as a unit-long project during a system of equations unit
• Have individuals research the recommended octane level for their personal cars or their parents' cars

Classroom Considerations

• Learners must be able to create and solve equations in three variables

Pros

• Provides an option to make the activity unique to each pupil
• Includes a video tutorial to help students use the software

Cons

• Includes dated documents that require updating to reflect current software versions

Common Core

HSA-REI.C.6 HSA-REI.C.8 HSA-REI.C.9