Name: John Toney

Name: John Toney

Date: 1-12-15

WOODLAND HILLS SECONDARY
LESSON PLANS

Content Area: Mathematics

Length of Lesson: 20 days

STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
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.
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. / Understanding Goals (Concepts):
Exponential processes, properties and representations
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.
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. / Essential Questions:
How do you explain the benefits of multiple methods of representing polynomial functions (tables, graphs, equations, and contextual situations)? / 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
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will demonstrate adequate understanding via a chapter test. / Formative Assessments:
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Materials and Resources:
Textbook, notes / Interventions:
Flexible grouping, students will be encouraged to attend Trig Lab
Instructional Procedures*:
Monday / Tuesday / Wednesday / Thursday / Friday
Date: 12/8 / Day: B / Date: 12/9 / Day: A / Date: 12/10 / Day: B / Date: 12/11 / Day: A / Date: 12/12 / Day: B
Procedures / ·  “Do Now” – Evaluate a natural exponential function.
·  “Mini Lesson” – Logarithmic Functions and Their Graphs
·  Students will explore the definition of logarithmic functions, evaluate log functions (by hand and with a calculator), and discover properties of logs. / ·  “Do Now” – Evaluate a logarithmic function by hand.
·  “Mini Lesson” – Logarithmic Functions and Their Graphs
·  Students will sketch the graphs of log functions (using the idea that logs are inverses of exponential functions), and make note of basic characteristics of their graphs. / ·  “Do Now” – Sketch the graph of a logarithmic function.
·  “Mini Lesson” – Logarithmic Functions and Their Graphs
·  Students will explore natural logarithmic functions, evaluate natural logs, find domains of natural logs, and use this knowledge to solve application problems. / ·  “Do Now” – Find the domain of a natural log.
·  “Mini Lesson” – Properties of Logarithms
·  Students will learn how to use the change-of-base formula to solve logarithmic functions that have bases other than 10 or e. Students will discover using a base 10 or base e will result in the same outcome. / ·  “Do Now” – Use the change-of-base formula to simplify logarithmic functions.
·  “Mini Lesson” – Properties of Logarithms
·  Students will explore properties of logarithms, and use those properties to simplify and rewrite logarithmic expressions.
Assignments / ·  Textbook – Page 317
#1-6 all, 9-14 all, 19-27 all, 31-34 all / ·  Textbook – Page 317
#41, 42, 44, 45-50 all / ·  Textbook – Page 317
#7, 8, 15-18 all, 29, 30, 35-40 all, 43, 51-61 odd, 63, 65, 72, 74 / ·  Textbook – Page 325
#11-17 odd / ·  Textbook – Page 325
#19-37 odd, 41-59 odd

*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections