Week 4 (Q2) Unit 8: Other Methods for Textbook: 6-2, 11/16/15 - Solving Systems 11/20/15 Key Vocabulary: Calculator: Neutral System of Represent constraints by equations equations in two or inequalities, and by systems of variables, equations and/or inequalities, and substitution, interpret solutions as viable or linear options in a modeling combination, context. dependent equations, Calculator: Neutral independent Prove that, given a system equations, of two equations in two consistent variables, replacing one equations, equation by the sum of that inconsistent equation and a multiple of equations the other produces a system with the same Conceptual solutions. Knowledge: *Solving systems Calculator: Neutral using substitution Solve systems of linear *Solving systems equations exactly and using linear approximately (e.g., with combination graphs), focusing on pairs method of linear equations in two variables. Skills: Calculator: Neutral ~Solving systems the solutions to a linear of equations inequality in two variables as a algebraically half-plane (excluding the ~Checking and boundary in the case of a strict justifying inequality), and graph the solutions to solution set to system of linear systems of inequalities in two variables as equations the intersection of the ~Identifying corresponding half-planes. which method is Standards of Mathematical Practice: most effective in SMP 1 Make sense of problem and a given situation preserve in solving them. SMP 3 Construct viable arguments and critique the reasoning of others. SMP 5 Use appropriate tools strategically. SMP 6 Attend to precision. SMP 7 Look for and make use of structure.
Week 4 (Q2) 11/16/15 - 11/20/15 Unit 8: Other Methods for Solving Systems Calculator: Neutral Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or options in a modeling context. Calculator: Neutral 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. Calculator: Neutral Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Calculator: Neutral the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to system of linear inequalities in two variables as the intersection of the corresponding half-planes. Standards of Mathematical Practice: SMP 1 Make sense of problem and preserve in solving them. SMP 3 Construct viable arguments and critique the reasoning of others. SMP 5 Use appropriate tools strategically. SMP 6 Attend to precision. SMP 7 Look for and make use of structure. Textbook: 6-2, Key Vocabulary: System of equations in two variables, substitution, linear combination, dependent equations, independent equations, consistent equations, inconsistent equations Conceptual Knowledge: *Solving systems using substitution *Solving systems using linear combination method Skills: ~Solving systems of equations algebraically ~Checking and justifying solutions to systems of equations ~Identifying which method is most effective in a given situation
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