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9th Grade Unit 2 9th Grade Math Class: Lesson Number 2 Day 2 Key Standards addressed in this Lesson: MCC9-12.A.REI.5&6 Time allotted for this Lesson: 1 day Materials Needed: Graph paper Colored pencils Key Concepts in Standards: Refer to TE solve linear equations in one variable. solve linear inequalities in one variable. solve a system of two equations in two variables by using multiplication and addition. solve a system of two equations in two variables graphically graph a linear inequality in two variables. graph a system of two linear inequalities in two variables. Essential Question(s): Refer to TE How do I justify the solution to an equation? How do I prove that a system of two equations in two variables can be solved by multiplying and adding to produce a system with the same solutions? How do I solve a system of linear equations graphically? How do I graph a linear inequality in two variables? How do I graph a system of linear inequalities in two variables? Vocabulary: (Tier) Refer to TE Tier 1: already knows Tier 2: needs review Tier 3: New Vocabulary Tier 1 Tier 2 Tier 3 Algebra Variable Ordered Pair Elimination Coefficient Substitution Equation Expression Inequality Concepts/Skills to Maintain: Refer to TE Interpreting a graph Creating a table of values Being able to read and write inequality symbols Graphing equations and inequalities on the coordinate plane Opening: (use on the Elmo) Solving Systems of Equations Algebraically Task from Georgia DOE: Part 1, #1 9th Grade Unit 2 Work Session: Complete task: Solving Systems of Equations Algebraically (Part 1 and 2) Additional Resources: Punchline Algebra Book A: 8.3, 8.4, 8.5 Carnegie Coordinate Algebra 6.2-6.4 Closing: TOD: Explain how to eliminate “y” in the following system. Explain how to eliminate “y” in the following system. 7 x 5 y 23 2 x 7 y 15 Corresponding Task(s) (if not in work session – there may be several tasks that fit) – ****All Tasks can be found at www.georgiastandards.org**** Highlight the Mathematical Practices that this lesson incorporates: Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for and make sure of structure Look for and express regularity in repeated reasoning