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Lesson Plan for Algebra II
Standard 12.0:
Students know the laws of fractional exponents, understand exponential
functions, and use these functions in problems involving exponential
growth
Goals: Define a power function
Procedure: Lesson 1
Time  I am doing  Student are doing  Comments 
20 m  Taking attendance   Solving problem  See overhead; Guessing on a test 
20 m  Posing chart  Completing chart and generating power rule 

20 m 30 m 
Listing power rules Modeling Monitoring Monitoring 
Taking notes Completing chart and generating Zero Exponent Theorem Practicing 
p.431: 14 – 19 See overhead Lesson Master 7.2B 
Closure: HW#11: p.423: 1 – 18; p.430: 1 – 22
Standard 12.0:
Students know the laws of fractional exponents , understand exponential
functions, and use these functions in problems involving exponential
growth
Goals:
Determine the Properties of Positive and Negative Powers
Apply properties to interest rate problem
Procedure: Lesson 2
Time  I am doing  Student are doing  Comments 
15 m  Taking attendance Guiding 
Warming up Explaining 

30 m  Proving negative exponent theorem Modeling rewriting b^{n} as 1/b^{n} 
Taking notes Practicing 
p.436: 11 – 18 
50 m  Reviewing interest earned annually and n times per year Modeling problems Monitoring 
Taking notes Practicing 
pp.438 – 440 Lesson Master 7.4A 
Closure: HW#12: Review today’s notes and summarize them;
p.431: 23 – 33;
p.435: 1 – 10, 19 – 26; KBAC Lesson Master 7.1A
Material:
Standard 12.0:
Students know the laws of fractional
exponents, understand exponential
functions, and use these functions in problems
involving exponential
growth
Goals: To give meaning to and to
Procedure: Lesson 3
Time  I am doing  Student are doing  Comments 
15 m  Taking attendance Guiding 
Warming up Presenting 
See warm up 
30 m  Defining n^{th} root of x Applying definition to 1/n Exponent Theorem Modeling Modeling methods for finding specific roots on calculator Monitoring 
Taking notes Practicing 
See investigation 
20 m  Noting definition of I and showing that i^{2} = 1 Modeling Monitoring 
Taking notes Practicing 
p.391: 10 – 12, 16 – 21 
25 m  Monitoring  Practicing  Lesson Master 7.6A 
Closure: HW#13: Review today’s notes and summarize them;
p.441: 1 – 17; p.455:
5, 6, 8 – 11, 18 – 20
Material: Lesson Master 7.6A
Standard 12.0:
Students know the laws of fractional
exponents, understand exponential
functions, and use these functions in problems
involving exponential
growth
Goals:
Give meaning to negative rational exponents
Solve power equations
Procedure: Lesson 4
Time  I am doing  Student are doing  Comments 
10 m  Taking attendance  Warming up  1minute math 
15 m  Explaining Rational Exponent Theorem Posing question Guiding 
Taking notes Answering Presenting 
p.458 Explain the meaning of the rational expressions in terms of roots and powers 
20 m  Explaining the applicability of negative rational exponents Modeling examples 
Taking notes 

15 m  Explaining how to solve a power equation Modeling examples 
Taking notes  
25 m  Monitoring  Lesson Master 7.7A/7.8A  
10 m  Monitoring  Taking 1minute math quiz 
Closure: HW#14: Review today’s notes and summarize; p.462:
1 – 26; p.466: 1 –
12
Standard 12.0:
Students know the laws of fractional
exponents, understand exponential
functions, and use these functions in problems
involving exponential
growth
Goals: Review for test
Procedure: Test Monday or Tuesday.
Time  I am doing  Student are doing  Comments 
45 m  Monitoring  Practicing  p.473: 4 – 72 every 4^{th} problem 
20 m   Presenting PowerPoint Monitoring and guiding 
Preparing crib sheet with formulas 

30 m  Monitoring  Starting HW  Practice test 
Closure: HW#15: Review and summarize today’s notes; p.472: 1  22
Standard 12.0:
Students know the laws of fractional
exponents, understand exponential
functions, and use these functions in problems
involving exponential
growth
Goals: Determine the properties of the exponential function
Procedure:
We start this unit as an extension of the previous. We review an
exponential growth problem using the terminology of a geometric
sequence. The
studentknowledge base is then extended with a parametric
analysis of the rate
of growth, base for the function. We also study
additional applications, atomic
decay (physics), asset depreciation
(finance) and cell division (biology) before
generalizing the concept to an
exponential function. At this point we digress to
review the properties of
rational exponential expressions. Finally, the inverse
function, logx , is
introduced. Near the end of the unit we introduce the
natural exponential
function and its inverse. Lesson 5
Time  I am doing  Student are doing  Comments 
20 m  Monitoring Recording formula 
Responding to overhead a – c Presenting 
See overhead; Elvira’s Problem 
15 m  Monitoring Guiding presentations 
Responding to overhead d Presenting 

20 m  Monitoring Guiding presentations 
Responding to overhead e – i. Presenting 

15 m   Summarizing properties of exponential function 
Taking notes  .y = ab^{x} for a > 0, 0 < b < 1 and b > 1. Domain = R and Range = positive numbers 
25 m  Monitoring  Practicing  Worksheet 
Closure: HW#16: Review and summarize today’s notes; p.536:
1 – 20; p.543: 1 –
12; KBAC Lesson Master 7.8B
Material:
Reflection: The students took more time than projected to complete the overhead
questions. Thus we moved the last topic, an application, to the next lesson.
Eventually we
add a complete lesson.
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