ALG1.MATH.5.C
Solve systems of two linear equations with two variables for mathematical and real-world problems.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
systems of equationstwo linear equationstwo variablesmathematical problemsreal-world problemssolution
Skills
- solve (systems of two linear equations with two variables) #dok2
- identify (the solution to a system as the point of intersection or set of values satisfying both equations) #dok1
- interpret (solutions to systems in the context of mathematical and real-world problems) #dok3
- analyze (results for reasonableness in the context of the problem) #dok3
Learning Targets
- I can identify a system of two linear equations with two variables. #dok1
- I can solve a system of two linear equations using substitution or elimination. #dok2
- I can verify that a solution satisfies both equations in a system. #dok2
- I can interpret the solution to a system of linear equations in the context of a real-world problem. #dok3
- I can analyze and justify the reasonableness of the solution for a given real-world problem. #dok3
Big Ideas
- A system of two linear equations can be solved to find values that satisfy both equations simultaneously.
- Interpreting and verifying solutions in real-world contexts ensures that mathematical results are meaningful and applicable.
Essential Questions
- What methods can you use to solve a system of two linear equations?
- How can you verify that a solution is valid for both equations in a system?
- In what real-world situations might you need to solve a system of equations?
- How do you determine if a solution to a system is reasonable in the context of a problem?
- What does it mean when a system of equations has no solution or infinitely many solutions?