Name: John Toney
Date: 1-12-15
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
Assignments
Procedures
Instructional Procedures*:
Monday
Date: 12/8
Day: B
 “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.
 Textbook – Page 317
#1-6 all, 9-14 all, 19-27
all, 31-34 all
Tuesday
Date: 12/9
Day: A
 “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.
 Textbook – Page 317
#41, 42, 44, 45-50 all
Wednesday
Date: 12/10
Day: B
 “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.
 Textbook – Page 317
#7, 8, 15-18 all, 29, 30,
35-40 all, 43, 51-61 odd,
63, 65, 72, 74
Thursday
Date: 12/11
Day: A
Friday
Date: 12/12
Day: B
 “Do Now” – Find the
domain of a natural log.
 “Mini Lesson” –
Properties of Logarithms
 Students will learn how
to use the change-ofbase 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.
 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