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Name: John Toney Date: 1-19-15 Content Area: Mathematics WOODLAND HILLS SECONDARY LESSON PLANS Length of Lesson: 20 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Big Ideas: Understanding Goals (Concepts): Exponential and Logarithmic Functions 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. Exponential processes, properties and representations 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. Student Objectives (Competencies/Outcomes): Students will be able to: Represent exponential functions in multiple ways, including tables , graphs, equations, and contextual situations, and make connections among representations; relate the growth/decay rate of the associated exponential equation to each representation. Students will understand: 1) Evaluate and graph exponential expressions. 2) Evaluate and graph logarithmic expressions. 3) Expand and condense logarithmic expressions using properties of logs. 4) Evaluate logarithmic expressions using change of base formula. 5) Solve logarithmic equations. 6) Solve exponential equations. Essential Questions: Vocabulary: How do you explain the benefits of multiple methods of representing polynomial functions (tables, graphs, equations, and contextual situations)? *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 STAGE II – ASSESSMENT EVIDENCE Performance Task: Formative Assessments: Students will demonstrate adequate understanding via a chapter test. Pre-assessments, open-ended questions, Think-Pair-Share STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Trig Lab Materials and Resources: Textbook, notes Procedures Instructional Procedures*: Monday Date: 1/19 Day: No School – MLK Day Assignments Tuesday Date: 1/20 Day: B “Do Now” – Evaluate a logarithmic function by using the change-of-base formula. “Mini Lesson” – Exponential and Logarithmic Equations Students will explore procedures for solving equations involving exponential functions, and examine inverse properties of these types of functions. Textbook – Page 335 #21-45 odd, 51 Wednesday Date: 1/21 Day: A “Do Now” – Solve an exponential function using a log. “Mini Lesson” – Exponential and Logarithmic Equations Students will explore procedures for solving equations involving logarithmic functions, and examine inverse properties of these types of functions. Textbook – Page 335 #55-75 odd Thursday Date: 1/22 Day: B “Do Now” – Solve a logarithmic function using an exponent. “Mini Lesson” – Exponential and Logarithmic Equations Students will use their knowledge of exponential and logarithmic functions to solve real world application problems involving finance. Students will also begin working on a variety of logarithmic functions as review. Textbook – Page 335 #81-87 odd *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Friday Date: 1/23 Day: A “Do Now” – Collins Writing – In 5 lines write a review of what you know about exponential and logarithmic functions. “Mini Lesson” – Properties of Logarithms Students will continue working on a review of logarithmic functions. Finish review of logarithmic problems