WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _Steve Flanders__________ Date 1-24-14 Length of Lesson __4 weeks_____ Content Area Trigonometry_______ Edline was updated this week: x My class website was updated this week: x STAGE I – DESIRED RESULTS LESSON TOPIC: Exponential and Logarithmic Functions BIG IDEAS: 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. (Content standards, assessment anchors, eligible content) objectives, and skill focus) UNDERSTANDING GOALS (CONCEPTS): Exponential processes, properties and representations Students will understand: 1. 2. 3. Evaluate and graph exponential expressions. Evaluate and graph logarithmic expressions. Expand and condense logarithmic expressions using properties of logs. 4. Evaluate logarithmic expressions using change of base formula. 5. Solve logarithmic equations. 1. Solve exponential equations. VOCABULARY: *Exponential functions, natural base e, natural exponential function, continuous compounding *Logarithmic functions, natural logarithmic function *Inverse properties *Exponential growth, exponential decay, Gaussian, logistics growth, logarithmic models M11.A.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, exponents, and scientific notation). M.11.A.2.2 Use exponents, roots and/or absolute value to solve problems M.11.D.1.1 Analyze and/or use patterns or relations. M.11.D.2.2 Simplify expressions involving polynomials. M.11.D.4.1 Interpret and/or use linear, quadratic and/or exponential functions and their equations, graphs or tables. ESSENTIAL QUESTIONS: How do you explain the benefits of multiple methods of representing polynomial functions (tables, graphs, equations, and contextual situations)? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: Represent exponential functions in multiple ways, including tab les , graphs, equations, and contextual situations, and make connections among representations; relate the growth/decay rate of the associated exponential equation to each representation. STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will demonstrate adequate understanding via a chapter test. FORMATIVE ASSESSMENT: #1 Pre-Assessment #2 Open-Ended Questions #3 Think-Pair-Share STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: MATERIALS AND RESOURCES: Active Engagement use: #1 Note-Taking #2 Cooperative Education Textbook Notebook Projector/Promethean Board Scaffolding used: #1 Guided Notes #2 Build on prior knowledge INTERVENTIONS: Limited small group/ flexible grouping will occur. Students will be encouraged to stay for math lab, or find help with a math teacher. ASSIGNMENTS: p. 306-309 p. 317-320 p. 325-327 p. 335-338 p. 346-351 MINI LESSON: *Evaluate exponential expressions. *Graph exponential expressions *Evaluate logarithmic expressions. *Graph logarithmic expressions *Expand and condense logarithmic expressions using properties of logs. *Evaluate logarithmic expressions using change of base formula. *Solve logarithmic equations. *Solve exponential equations