Adaptive Perseverance: Students will tackle complex problems through multiple methods until a solution is found.
Learner’s Mindset: Students will be open to using different strategies for solving problems.
Communication: Students will articulate their problem-solving process and solutions.
Critical Thinking: Students will analyze and evaluate different methods to find the most effective solution.
How does the choice of method (graphing, substitution, addition) affect the efficiency and accuracy of solving a system of linear equations?
In what ways can graphing systems of linear inequalities provide insights into real-life decision-making scenarios?
How can the solutions of systems of linear equations and inequalities model and influence outcomes in real-world problems?
HSA-REI.C.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
HSA-REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
HSA-REI.D.12: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality and including the boundary in the case of a nonstrict inequality).
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