How do we determine the number of solutions in a system of linear equations and what does this tell us about the relationship between the equations?
Critical Thinking: Evaluate and solve complex problems through analyzing systems of linear equations.
Adaptive Perseverance: Navigate challenges in solving systems of equations using different methods.
Communication: Clearly explain the process and reasoning behind solving systems of equations and interpreting their solutions.
How can we identify whether a system of linear equations has no solution, one solution, or infinitely many solutions?
In what ways can we interpret, analyze, and compare systems of equations to understand their implications?
What are the advantages of solving systems of equations graphically versus algebraically, and in what situations might one method be preferred over the other?
Students will interpret, analyze, and compare systems of equations to draw conclusions and make predictions.
Students will solve systems of equations both graphically and algebraically, understanding when and why to use each method.
8.EE.C.8: Analyze and solve pairs of simultaneous linear equations.
8.EE.C.8a: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE.C.8b: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations.
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