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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/bn
-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 nth 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 i2 = -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 1-minute 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 1-minute 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 4th
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 student-knowledge 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 = abx 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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