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UNIT 3 Title: Multi-step Equations and Inequalities Subject/Course: 7th grade PreAlgebra Length: 2 weeks Grade: 7th grade Designer: Screeton & Stuart UNIT GOALS AND EXPECTATIONS IMPORTANT CONCEPTS/UNDERSTANDINGS: *Solve two-step equations *Solve equations using the distributive property *Solve equations with variables on both sides *Solve inequalities using addition or subtraction *Solve inequalities using multiplication or division *Solve multi-step inequalities *Solve equations that involve grouping symbols ESSENTIAL QUESTIONS: *What are the specific strategies that have wide application in attacking problems and can help in problem solving? *Why are equations and inequalities useful? *How are patterns and relationships useful in working with algebraic expressions? *What kinds of questions can be answered using proportional reasoning? *When is a particular number a solution to a given equation? *How do you check to see if a specific value is a solution to a given equation? STUDENT LEARNING EXPECTATIONS: NO.2.8.1, NO.3.8.2, A.5.8.1, A.5.8.3, SPECIFIC DECLARATIVE KNOWLEDGE – What I know with and without appropriate technology: * Properties of equalities (+,-, X, /) *Inverse operations *Order of operations *Multiplication/division properties with inequalities *Identify operations in an algebraic expression Vocabulary Equation, Solution, Solving an equation, Distributive property, Integers, Two-step equations, Inequalities, Variable, Unknown, Algebraic equations/expression, Combining like terms SPECIFIC PROCEDURAL KNOWLEDGE – What I need to do with and without appropriate technology: * Apply order of operations when appropriate to solve two step equations *Apply addition, subtraction, multiplication, and division properties of equality to one-step equations with whole numbers/integers/fractions /decimals *Solve two-step equations involving one variable and verify the reasonableness of the result *Translate phrases and sentences into algebraic equations/inequalities *Represent multi-step problems using manipulatives * Solve problems mentally *Solve multi-step problems with paper and pencil UNIT ASSESSMENTS (Include tasks related to Dimensions 3 and 4 and Bloom’s Taxonomy) Unit 3 Open Response #1 Unit 3 Open Response #2 Unit 3 Open Response #3 Traditional Assessments: Unit 3 Assessment Vocabulary Quiz Unit 3 Quizzes ACTIVITIES AND LEARNING EXPERIENCES Solving Two-Step Equations Modeling equations activity Solving Equations with Like Terms & Parenthesis Brain Game Solving Equations with Variables on Both Sides Video Explanation Other Evidence of Learning: Homework Classwork Warm-up problems Resources Textbook, page119 Textbook, page 129 http://www.phschool.com/atschool/academy123/html/bbapplet_wlproblem-430890.html Career Connections Economist, Store Owner, Scientist, Pilot
