# WOODLAND HILLS SECONDARY LESSON PLANS

```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
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