ALG2.MATH.3.C
Solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
systems of equationstwo equationstwo variableslinear equationquadratic equationalgebraic methodssolutions
Skills
- solve (systems of two equations in two variables, one linear and one quadratic, using algebraic methods) #dok2
- identify (the nature of the equations in a given system: linear vs. quadratic) #dok1
- interpret (solutions of a system of one linear and one quadratic equation in context) #dok2
- represent (systems of equations algebraically and graphically) #dok2
Learning Targets
- I can identify the difference between linear and quadratic equations in a given system. #dok1
- I can solve a system of equations with one linear and one quadratic equation using substitution or elimination. #dok2
- I can represent systems of equations involving one linear and one quadratic equation both algebraically and graphically. #dok2
- I can interpret the meaning of solutions to a system with one linear and one quadratic equation in a real-world context. #dok3
Big Ideas
- Systems that combine linear and quadratic equations can have zero, one, or two solutions, depending on how the equations interact.
- Algebraic methods such as substitution and elimination allow us to systematically find solutions to systems involving both linear and quadratic equations.
Essential Questions
- How do you recognize whether an equation in a system is linear or quadratic?
- What algebraic methods can be used to solve a system containing one linear and one quadratic equation?
- How can the number of solutions to a system involving a linear and a quadratic equation be predicted or explained?
- What does a solution to a system of a linear and a quadratic equation represent in a real-world situation?
- How can you check the reasonableness of your solutions?