of linear equations Given a problem exactly and situation, model it with a approximately (e.g., system of equations with graphs), focusing on pairs of linear equations in two variables Lesson 9: Solutions to Systems of Equations Objectives After experimenting/investigating with different cases, students will determine the number of solutions for a system of linear equations with at least ___ out of ___ correct on an exit ticket. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 4: Model with mathematics MP 7: Look for and make use of structure Vocabulary System of equations, solutions to systems of equations, infinite solutions, no solution, point of intersection Common Misconceptions/struggles Computation with signed numbers Mistaking a non-integer solution with “no solutions” Concepts Skills Material/ Suggested Assessment CCSS What students will know What students will be able to do Resource Pacing Check Point A.REI.5: Prove that, Review Review MVP 2.10 1 block 2.10 Set given a system of two #4-7 The solution to a system Solve a system of equations in two of equations is the (x, y) equations using variables, replacing one values that make both elimination or graphing equation by the sum of Task: equations true New that equation and a System of The solution to a system Determine the number of multiple of the other Equation of equations is the point solutions of a system of produces a system with of intersection of their linear equations the same solutions. graphs NJ
of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables Given a problem situation, model it with a system of equations Lesson 9: Solutions to Systems of Equations Objectives After experimenting/investigating with different cases, students will determine the number of solutions for a system of linear equations with at least ___ out of ___ correct on an exit ticket. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 4: Model with mathematics MP 7: Look for and make use of structure Vocabulary System of equations, solutions to systems of equations, infinite solutions, no solution, point of intersection Common Misconceptions/struggles Computation with signed numbers Mistaking a non-integer solution with “no solutions” CCSS Concepts What students will know Skills What students will be able to do Material/ Resource Suggested Pacing Assessment Check Point A.REI.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. Review The solution to a system of equations is the (x, y) values that make both equations true The solution to a system of equations is the point of intersection of their graphs Review Solve a system of equations using elimination or graphing New Determine the number of solutions of a system of linear equations MVP 2.10 1 block 2.10 Set #4-7 Task: System of Equation NJ