How many solutions can a system of Determine whether a system of two linear equations has one solution, no linear equations have? solution, or infinite solutions. What kind of lines have no solutions? Write a system of two linear equations Prerequisite/Extension SOL Textbook Resources that models a real-world situation. Prerequisites: Sections 6.1-6.4 7.14 a) solve one‐ and two‐step Interpret and determine the linear equations; b) solve practical reasonableness of the algebraic or Resources/Lessons problems in one variable graphical solution of a system of two linear equations that models a 8.15 a) solve multistep linear situation. Exemplars equations in one variable (variable D.J. Dilemma (7-10) on one and two of Determine if a linear equation in one equations); c) ID properties of variable has one, an infinite number, or operations used to solve no solutions.† Extensions: AII.4 solve (alg./graph) a) abs value equation/inequ.; b) quad equation over complex; c) equation containing rational algebraic expression; d) equation containing radical exp. multistep linear inequalities in one Block: Standard Key Vocabulary variable. 2 classes Linear Inequalities & Systems of The student will solve multistep linear A.5 Inequalities inequalities in two variables, including Justify steps used in solving Traditional: c) solving real-world problems inequalities, using axioms of inequality 4 classes DOE Lesson Plans involving inequalities; and and properties of order that are valid for d) solving systems of inequalities. the set of real numbers. Essential Questions Solve real-world problems involving Textbook Resources What is a system of linear inequalities? inequalities. Sections 6.5-6.6 How do we know whether the graph of an inequality is dotted or solid? Resources/Lessons
How many solutions can a system of linear equations have? What kind of lines have no solutions? Prerequisite/Extension SOL Prerequisites: 7.14 a) solve one‐ and two‐step linear equations; b) solve practical problems in one variable 8.15 a) solve multistep linear equations in one variable (variable on one and two of equations); c) ID properties of operations used to solve Extensions: AII.4 solve (alg./graph) a) abs value equation/inequ.; b) quad equation over complex; c) equation containing rational algebraic expression; d) equation containing radical exp. Determine whether a system of two linear equations has one solution, no solution, or infinite solutions. Write a system of two linear equations that models a real-world situation. Interpret and determine the reasonableness of the algebraic or graphical solution of a system of two linear equations that models a situation. Determine if a linear equation in one variable has one, an infinite number, or no solutions.† Textbook Resources Sections 6.1-6.4 Resources/Lessons Exemplars D.J. Dilemma (7-10) Block: 2 classes Traditional: 4 classes Standard A.5 The student will solve multistep linear inequalities in two variables, including c) solving real-world problems involving inequalities; and d) solving systems of inequalities. Essential Questions What is a system of linear inequalities? How do we know whether the graph of an inequality is dotted or solid? multistep linear inequalities in one variable. Justify steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers. Solve real-world problems involving inequalities. Key Vocabulary Linear Inequalities & Systems of Inequalities DOE Lesson Plans Textbook Resources Sections 6.5-6.6 Resources/Lessons
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