ALG2.MATH.3.D
Determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
reasonablenesssolutionssystemslinear equationquadratic equationtwo variables
Skills
- determine (reasonableness of solutions) #dok2
- analyze (solutions to systems of equations) #dok2
- justify (validity of solution to a system) #dok3
- identify (errors or extraneous solutions) #dok2
Learning Targets
- I can determine if a solution to a system of a linear equation and a quadratic equation in two variables makes sense in context. #dok2
- I can analyze the steps taken to solve a system and identify any mistakes or extraneous solutions. #dok2
- I can justify why a solution is reasonable or unreasonable using mathematical reasoning. #dok3
Big Ideas
- Not all calculated solutions to systems of equations are reasonable within the context of a problem.
- Validating solutions is a critical step in the problem-solving process for systems involving linear and quadratic equations.
Essential Questions
- How can you determine if a solution to a system of a linear and quadratic equation is reasonable?
- What strategies can you use to check your solutions to systems for validity?
- Why might a technically correct answer still be unreasonable in a given context?
- How do extraneous solutions arise when solving systems of equations?
- What are the implications of using an unreasonable solution in a real-world situation?