Name: Irene M Runco Date: Sept 2 - 5, 2014 Algebra 2 WOODLAND HILLS SECONDARY LESSON PLANS 5 days Content Area: Length of Lesson: STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Unit 1 Solving Equations and Inequalities • • • • • Properties of Real Numbers Solving Linear Equations Solving Absolute Value Equations Solving Inequalities Graphing Inequalities Student Objectives (Competencies/Outcomes): Students will be able to: Use algebraic properties and processes in mathematical situations and apply them to solve real world problems. • Classify real numbers • Use order of operations and properties of real numbers to evaluate expressions • Solve linear & absolute value equations • Translate verbal expressions into algebraic expressions and equations • Solve and graph on a number line simple, compound and absolute value inequalities. Big Ideas: Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. Understanding Goals (Concepts): Essential Questions: Vocabulary: How do you explain the benefits of multiple methods of representing polynomial functions (tables, graphs, equations, and contextual situations)? absolute value equation formula open sentence order or operations rational number real number solution variable constant irrational number properties of equality 1. Extend algebraic properties and processes to quadratic, exponential, and polynomial expressions and equations and to matrices, and apply them to solve real world problems. Represent exponential functions in There are some mathematical relationships 2. that are always true and these relationships multiple ways, including tab les , graphs, equations, and contextual situations, and are used as the rules of arithmetic and make connections among representations; algebra and are useful for writing relate the growth/decay rate of the equivalent forms of expressions and associated exponential equation to each solving equations and inequalities. representation. What are the advantages/disadvantages of the various methods to represent exponential functions (table, graph, equation) and how do we choose the most appropriate representation? STAGE II – ASSESSMENT EVIDENCE Performance Task: Students will show proficiency through formative assessment, daily class work, homework, and unit test. Formative Assessments: Do now’s, writing prompts, think-pair-share- exit polls STAGE III – LEARNING PLAN Interventions: Materials and Resources: Textbook Warm ups & Exit polls(daily) Homework (daily) Guided practice and Enrichment from Glencoe Grab & Go workbooks Glencoe teacher works…chalkboard is Good for Promethean Board use. Use end of powerpoint for extra examples and practice. Use 5 minute check as exit slip. TTM Study Island A+ Math Math Lab Khan Academy Videos Keystone Diagnostic Tool National Library of Virtual Manipulatives is an excellent site for use with promethean boards for this unit. On line activities are very good in this chapter for finding a pattern and making predictions based on your observations. Truly struggling students will be referred to guidance/SAP (RTI) • Instructional Procedures*: Monday Date 9.1 Day Tuesday Date 9.2 Day6B Small group/ flexible grouping will occur if necessary. Wednesday Date9.3 Day7A Thursday Date 9.4 Day8 B Friday Date 9.5 Day 9 A Assignments Procedures Complete work on properties of real numbers Do now: Give 2 examples of numbers that are integers and rational, but not whole Give 2 examples of numbers that are real but not rational Can there be a number that is real only ? Explain Worksheet for guided notes form section 2 Tuesday : class meetings 10th, period 2, 11th period 3, 12th period 4 Solving equations What steps are justified mathematically? What isn’t? Review use of =. Is it used to complete or link ? Defend this. Do now: Explain why you can’t perform operations on only one side of an equation. Give an example. Worksheet with guided notes for section 3 Guided notes on simplifying equations with fractions Do you wait until the end and multiply by the reciprocal or multiply by the common denominator at the very beginning ?? What at the benefits of each way ?? Do now: Friday exit poll… have students write topics of the week on the GOT or NEED side of the poster. Group work day on first 3 sections of the book 20 minutes of group work, then share out. Do now: Solve: -2( x+6) ≤ 12. Justify each step . Worksheet