Unit 13: Linear & Nonlinear Systems
In this unit, we explore systems of equations, which are sets of two or more equations with the same variables. Systems can be linear (equations of lines) or nonlinear (equations involving quadratics, circles, parabolas, or other curves). You will learn to solve these systems algebraically and graphically, and apply them to real-world problems.
Unit Goals
- Solve linear systems by graphing and algebraic methods (substitution, elimination).
- Solve nonlinear systems algebraically and graphically, and compare methods.
- Model and solve application problems that lead to linear and nonlinear systems.
- Analyze mixed systems that combine linear and nonlinear equations and interpret solution sets.
- Develop strategies for checking and verifying solutions in applied contexts.
Lessons in this Unit
- Introduction to Systems of Equations
- Solving Linear Systems by Graphing
- Solving Linear Systems Algebraically (Substitution & Elimination)
- Applications of Linear Systems
- Introduction to Nonlinear Systems
- Solving Nonlinear Systems Algebraically
- Solving Nonlinear Systems Graphically
- Applications of Nonlinear Systems
- Mixed Systems and Advanced Problems
- Solving Real-World Problems with Nonlinear Systems