Teacher Name / Date(s):
Lesson Title / Exponential Functions/Growth/Decay y=abx and y= P(1+r)t
Curriculum Area / Math 1
Grade Level / 9
School-based Initiatives / AVID______WICR______Schoolnet______ClassScape______
Curriculum Standard(s)
from Common Core & Essential Standards / F-LE 1 Distinguish between situations that can be modeled with linear functions and with exponential functions.
a. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by
equal factors over equal intervals.
b. Recognize situations in which one quantity changes at a constant rate
per unit interval relative to another.
c. Recognize situations in which a quantity grows or decays by a constant
Per-cent rate per unit interval relative to another.
F-LE 3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
F-LE 5 Interpret the parameters in a linear or exponential function in terms of a context.
Technology Objective(s):
from Common Core & Essential Standards / Students must have graphing calculators and a Smart-board is needed
HS.TT.1 Use technology and other resources for assigned tasks.
Essential Question(s):
What question should students be able to answer at the end of the lesson? / How can you tell whether a quantity relates to growth or decay?
How do you interpret the data you have collected?
Why are graphs helpful?
Learning Target(s): The What-What students are to know or be able to do. Students need to be able to articulate the learning target themselves & to others. / What Students Need To Be Able To Do:
1. Interpret functions that arise in applications in terms of the context
2. Analyze functions using different representations
3. Construct and compare linear, quadratic, and exponential models and solve problems.
4. Interpret expressions for functions in terms of the situation they model
Higher Order Thinking (Revised Bloom’s & DOK) Connection/Extension / Create, Evaluate, Analyze, Apply, Understand
Lesson Summary: Describe the strategies and the activities you will use to teach new information to students. / Students will compare Graphs of Exponential Growth and Decay.
http://www.ck12.org/algebra/Exponential-Growth-and-Decay/enrichment/Comparing-Exponential-Growth-and-Exponential-Decay-Overview/
Students will see how exponential functions work explore the graphs.
http://www.ck12.org/algebra/Exponential-Growth-and-Decay/lecture/Exponential-Growth-Functions/
Students will Classify and write Exponential Growth and Decay Functions based on a graph or a table
Example 1
http://www.ck12.org/algebra/Exponential-Growth-and-Decay/enrichment/Comparing-Exponential-Growth-and-Exponential-Decay-Example-1/
Example 2
http://www.ck12.org/algebra/Exponential-Growth-and-Decay/enrichment/Comparing-Exponential-Growth-and-Exponential-Decay-Example-2/
Students will use the While Read Activity Template to Connect a daily experience with exponential growth and decay.
Using the graphing Calculator to show data.
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-565s.html
Students will recognize nonlinear functions.
Activity Sheet—
http://tinyurl.com/lb24skk
Academic/Content Vocabulary / Exponential functions, Exponential Decay, Exponential Growth, Function, Representation, Calculate, Algebraically, Model , Observe, Application
Multiple Intelligence Alignment
· Verbal/Linguistic
· Musical/Rhythmic
· Visual/Spatial
· Bodily/Kinesthetic
· Intrapersonal
· Interpersonal
· Naturalist
· Existential
Circle multiple intelligence incorporated in lesson plan
Differentiation: How will you differentiate instruction to meet the needs of all students? / TAKS STUDY GUIDE- Choose activity by topic
http://tinyurl.com/9o7yhlq
Calculator Usage:
www.mathbits.com
Discuss Alignment:
Closure: What type of formative assessment will be used to determine level of mastery by all students? / Exit Tickets, Vocabulary Check,
Lesson Reflection: What went well?
What would you do differently?
Resources and Materials
What resources and materials are needed to teach this lesson? / www.Kuta.com
www.Khanacademy.com
www.mathbits.com ( Calculator Website)
http://www.purplemath.com
http://teachers.henrico.k12.va.us/math/hcpsalgebra1/modules.html
http://www.brainpop.com/math/
Re-teaching and Enrichment Activities
How would you extend students’ understanding of the lesson concepts through another activity or lesson?
Modifications
Are there any students for whom you need to make modifications?
Adapted from North Carolina Teacher Academy
Contents provided by Linette W. Hewlin, Math Instructional Coach, Halifax County Schools (2014-15)