What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Concepts

graphing systems of equations, systems of equations, linear equations, quadratic equations, conic sections

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Additional Tags

math

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Instructional Ideas

• Use a graphic organizer to record examples of different combinations of equations
• Ask learners to write a system of equations with one, two, and no solutions

Classroom Considerations

• Learners should be able to graph circles and parabolas
• The 32nd lesson in series of 42

Pros

• Uses graphing to ensure learners understand the solution possibilities
• Provides detailed lesson notes to guide instruction

Cons

• None

Common Core

HSA-REI.B.4.b HSA-REI.C.6 HSA-REI.C.7 MP1