ALG2.MATH.3.G
Determine possible solutions in the solution set of systems of two or more linear inequalities 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
possible solutionssolution setsystemslinear inequalitiesvariables
Skills
- determine (possible solutions in the solution set of systems of linear inequalities in two variables) #dok2
- analyze (solution sets for systems of two or more linear inequalities in two variables) #dok2
- identify (points that satisfy all inequalities in a system of two or more linear inequalities) #dok2
- justify (whether a selected point belongs to the solution set) #dok3
Learning Targets
- I can determine possible solutions for systems of two or more linear inequalities in two variables. #dok2
- I can analyze a solution set graphically and algebraically to check which points satisfy all the given inequalities. #dok2
- I can identify whether a given point is part of the solution set for a system of two or more linear inequalities. #dok2
- I can justify why a selected point is or is not a solution for a given system of linear inequalities. #dok3
Big Ideas
- The solution set to a system of linear inequalities in two variables represents all the possible solutions that satisfy all inequalities at once.
- Determining whether specific points are solutions involves checking if they satisfy each individual inequality in the system.
Essential Questions
- What does the solution set of a system of linear inequalities represent?
- How can you determine if a specific point is a possible solution to a system of linear inequalities?
- Why must a point satisfy all inequalities in the system to be considered a solution?
- How does representing the solution set graphically help you understand the possible solutions?
- What strategies can be used to test whether multiple points belong to the solution set?