Name: Irene M Runco Date: Oct 20-24, 2014 Honors Algebra 2 WOODLAND HILLS SECONDARY LESSON PLANS 5 days Content Area: Length of Lesson: STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Unit 3 : Systems of Equations and Inequalities Solving Systems by graphing Solving Systems by Substitution Solving Systems by Elimination Solving Systems of Inequalities Linear Programming ( Advanced) Solving 3 equation systems with 3 variables Big Ideas: Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. Families of functions exhibit properties and behaviors that can be recognized across representations. Functions can be transformed, combined, and composed to create new functions in mathematical and real world situations. Understanding Goals (Concepts): Students use graphical methods to represent two equations as linees in a single plane. They strive to identify the point of intersection. They also develop algebraic methods of eliminating one variable and solving for the other variable. Students will learn to represent regions of the graph is the intersection of systems of inequalities. They will find regions that represent solutions to linear programming problems. . Student Objectives (Competencies/Outcomes): Essential Questions: Vocabulary: Students will be able to: 1) Solve systems of linear equations by graphing. ( 2 day) 2) Solve systems of linear equations by substitution (2 days) 3) Solve systems of linear equations by the elimination method. (2 days) 4) Solve systems of inequalities by graphing. ( 2 days) 5) Solve real-world problems modeled by systems of linear equations and inequalities.( 2 days) Review, quiz, computer review, and test ( 5 days ) How do you explain the benefits of multiple methods of representing polynomial functions (tables, graphs, equations, and contextual situations)? Consistent systems (2) Inconsistent systems (2) Constraints (3) Elimination method (2) Linear programming (3) Substitution method (2) Bounded regions (3) 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? Formative Assessments: Performance Task: Students will participate in 1. class discussions, 2. guided notes & practice, 3. computer work, 4. whiteboard activities Do now’s, writing prompts, think-pair-share- exit polls, walkaround group activity, row-race review activity STAGE III – LEARNING PLAN Interventions: Materials and Resources: Textbook Do nows & 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) • §3-1 §3-2 §3-3 §3-4 §3-5 Small group/ flexible grouping will occur if necessary. p 113 # 18,19, 23, 28,29 () p 114 # 42-46,48,61-66 () p 126 # 17 27 do any 8 () p 132-135 p142-145 Review p. 145-151 Instructional Procedures*: Monday Assignments Procedures Date 10.20 Day B Tuesday Date 21 Day 34A Wednesday Date 10.22 Day 35B Group work on graphing absolute value inequalities Chapter 2 review Pre test on systems of equations and inequalities Do you think it’s important to categorize functions ? Why? Why not ? Do now: Agree or disagree, an absolute value function is really A linear function Do now: Give me 4 lines explaining what strategies you use on a test where you know nothing… Complete absolute value activity Complete review Worksheet Wednesday – full faculty meeting with Mr Johnson Thursday Date 10.23 Day 36 A TEST on chapter 2 Friday Date10.24 Day 37 B Solving systems of equations by graphing. Do now: What are the strengths and weaknesses of this method of solving systems ?