Download 2016 HS Algebra 2 Unit 9 Plan - Exponential and

Unit Design
Content Area
Grade/Course
Unit Title
Duration of Unit
Warren County Public Schools
Mathematics
HS Algebra 2
Unit 9: Exponential and Logarithmic Functions
6 Days
Priority Standards
HSF.IF.C.7e.
Graph functions expressed symbolically and show key features of the graph, by hand in simple
cases and using technology for more complicated cases. Graph exponential and logarithmic
functions, showing intercepts and end behavior, and trigonometric functions, showing period,
midline, and amplitude.
HSF.IF.C.9.
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions). Write a function that describes a
relationship between two quantities. (Transformations of Functions)
HSF.BF.B.5
(+) Understand the inverse relationship between exponents and logarithms and use this
relationship to solve problems involving logarithms and exponents.
HSF.LE.A.2.
Construct linear and exponential functions, including arithmetic and geometric sequences, given
a graph, a description of a relationship, or two input-output pairs (include reading these from a
table).
Quality Core Standards
C.1. Foundations
D. Perform operations on functions, including function composition, and determine domain and
range for each of the given functions
G.2. Exponential and Logarithmic Functions
A. Graph exponential and logarithmic functions with and without technology
B. Convert exponential equations to logarithmic form and logarithmic equations to exponential
form
Supporting Standards
HSF.BF.B.4a
Find inverse functions. a. Solve an equation of the form f (x) = c for a simple function f that has an
inverse and write an expression for the inverse.
HSA.REI.D.11.
Explain why the x-coordinates of the points where the graphs of the equations y = f (x ) and y =
g(x) intersect are the solutions of the equation f (x ) = g(x ); find the solutions approximately, e.g.,
using technology to graph the functions, make tables of values, or find successive approximations.
Include cases where f (x ) and/or g(x ) are linear, polynomial, rational, absolute value, exponential,
and logarithmic functions
Unit Design
Warren County Public Schools
HSF.BF.B.3.
Identify the effect on the graph of replacing f (x ) by f (x ) + k, k f (x ), f (kx), and f (x + k) for
specific values of k (both positive and negative); find the value of k given the graphs. Experiment
with cases and illustrate an explanation of the effects on the graph using technology.
Concepts (nouns)
Functions
Key features of graph
Logarithmic expressions
Logarithmic and exponential
functions
Logarithmic and exponential
functions
Logarithmic and exponential form
Skills (verbs)
Graph
Show
Expand, condense
Solve
Bloom’s Level (verb)
Apply
Apply
Apply
Evaluate
Construct, graph
Create
Convert
Understanding
Learning Targets
LT1: Graph logarithmic and exponential functions showing key features. (3)
LT2: Convert between exponential and logarithmic forms. (2)
LT3: Use properties of exponents and logarithms to expand and condense logarithmic expressions.
(3)
LT4: Solve logarithmic and exponential functions from various given forms. (3)
LT5: Construct an exponential model from a set of real-world data and make predictions. (5)
Determine Big Ideas (lifelong
understandings)
Exponential functions can be used to model
and analyze real world problems.
Logarithmic functions can be used to model
and analyze real world problems.
Write Essential Questions (Answer Big Idea,
hook student interest.
What happens when the flu or a rumor spreads
through the school?
How does the intensity of the November 2012
earthquake in Kentucky compare with the 2011
earthquake in Japan?
Formative Assessment Lesson(s):
Comparing Investments
“The teacher leaders for the Gates grant work recommend that Warren County
Administration adopt the practice that Warren County Math teachers do a minimum of
one Formative Assessment Lesson per quarter. Other choices for formative assessment
lessons may be found at http://map.mathshell.org/materials/lessons.php .
Common Assessments:
2016 HS Algebra 2 Unit 9 DCA – Exponential and Logarithmic Functions Version A
2016 HS Algebra 2 Unit 9 DCA – Exponential and Logarithmic Functions Version B
2016 HS Algebra 2 Unit 9 DCA – Exponential and Logarithmic Functions Version C
Note: 2016 HS Algebra 2 Unit 9 DCA – Exponential and Logarithmic Functions Review
is to be used in conjunction with the above assessments.