Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various combinations of equations. Using graphs, individuals connect the algebraic solutions to a visual representation.

Concepts

graphing systems of equations, systems of equations, solving systems by graphing, substitution method, quadratic equations, linear equations

Show More Show Less

Additional Tags

math

Show More Show Less

Instructional Ideas

• Distribute graph paper and have your classes sketch the graph of each system of equation for reference

Classroom Considerations

• Uses graphing calculators and transparency sheets
• Applies several new vocabulary words which may require extra support for ELL pupils

Pros

• Practice problems are provided for class members to demonstrate what they have learned 
• Includes all necessary handouts

Cons

• None

Common Core

HSA-REI.C.7