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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:
Apply the exponential function

Procedure: Lesson 6

Time I am doing Student are doing Comments
30 m -Monitoring -Warming up See overhead
30 m -Deriving an equation for
interest earned on a
deposit
-Monitoring

-Defining the irrational
number e
-Taking notes

-Determining terms in a
sequence
leading to e
-Taking notes
What is
25 m -Citing continuously
compounded interest
formula ,
-Modeling
-Monitoring
-Taking notes

-Practicing
p.547

p.548: Ex 1
p.549: 6
10 m -Monitoring -1- minute math  

Closure: HW#17: Review and summarize today’s notes; p.544: 13, 14; p.549: 1 –
14; p.555: 1 – 6

Material:

Standard 14.0:
Students understand and use the properties of logarithms to simplify
logarithmic expressions and to identify approximate values

Goals: Define and use logarithms to multiply

Procedure: Lesson 7

Time I am doing Student are doing Comments
15 m -Demonstrating
Francisca’s Magic
-Taking notes See overhead; Magic
Numbers
15 m - Posing additional
questions
-Stating Product of the
Power Postulate
-Answering and
explaining in detail
-Taking notes
Calculate
25 m -Defining logarithms in
base 10
-Using the TI to
determine the magic
numbers and multiplying
using log x
-Monitoring
-Taking notes

-Following along

-Practicing
p.558 The logarithm, y, with
base 10 is the value of the
exponent
of 10 that makes
10y equal a given number x
40 m -Monitoring -Lesson Master 9.5A  

Closure: HW: No homework; KBAC Lesson Masters 9.3B

Material: Lesson Master 9.5A

Standard 11.1:
Students understand the inverse relationship between exponents and
logarithms
and use this relationship to solve problems involving
logarithms and exponents

Goals: Analyze various liquid values and conclude whether the liquid is a
base or an acid.


Procedure: Lesson 8

Time I am doing Student are doing Comments
10 m -Taking attendance -Warming up Evaluate the function
at
20 m -Reviewing scale
-Monitoring
-Taking notes
-Practicing
See overhead
5 m -Mentioning Richter scale and decibel scale -Taking notes  
25 m -Defining logarithms in
other bases and relating
to exponential function
-Modeling values
-Sketching and y =
 
-Discussing properties of
graphs
-Taking notes See overhead
35 m -Modeling solution to
logarithmic
equation
-Monitoring
-Taking notes

-Lesson Master 9.7A
p.573: Ex 1 – 3

Closure: HW#19: Review and summarize today’s notes; p.566: 1 – 17;
Read pp.570 – 573; p.573: 1 – 18

Material:

Standard 14.0:
Students understand and use the properties of logarithms to simplify
logarithmic expressions and to identify approximate values

Goals:
Evaluate expressions by applying the properties of logarithms
Graph exponential functions and their inverses


Procedure: Lesson 9

Time I am doing Student are doing Comments
15 m -Taking attendance -Warming up Using the definition of
logarithm as the value of
the exponent, evaluate the
expressions:
45 m -Citing basic properties
of logarithms
-Modeling examples of
properties
-Monitoring
-Taking notes

-Taking notes

-Lesson Master 9.8A
See overhead; Properties of
Logarithms.
Always cite the property used
35 m -Monitoring

-Sketching the inverse function of , namely
-Monitoring

-Sketching the inverse
function of y = ex,
namely y = ln x
-Graphing various exponential functions
-Taking notes

-Sketching y = 1.5x and
its inverse
-Recording their
properties
-Taking notes

.

Closure: HW#20: Review and summarize today’s notes; p.574: 19 – 21; Read
pp.576 – 579; p.579: 1 – 22; KBAC Lesson Master 9.8B

Material:

Standard 13.0:
Students use the definition of logarithms to translate between logarithms
in any base

Goals: Define Natural Logarithms

Procedure: Lesson 10

Time I am doing Student are doing Comments
15 m -Taking attendance -Warming up See overhead
20 m

30 m

-Defining and graphing y
= ln x
-Modeling natural log
application
-Reminding students of
properties of logarithms
-Monitoring
-Taking notes

-Practicing
-Lesson Master 9.9A
p.585: Ex

p.601: 71
30 m -Deriving Change of
Base
Theorem
-Modeling use
-Monitoring
-Taking notes

-Practicing
p.590: Ex 4
Worksheet on base change
formula

Closure: HW#21: Review and summarize today’s notes; p.585: 1 – 21

Material:

Objective: Standard 14.0: Students understand and use the properties of logarithms to
simplify logarithmic expressions and to identify approximate values

Goals: Solve exponential equations
Model Problems involving exponents and logarithms


Procedure: Test time after next. Bring in your textbooks next time. Lesson 11

Time I am doing Student are doing Comments
15 m -Modeling continuous
interest problem
-Posing question
-Modeling problem
-Taking notes

-Solving problem
-Taking notes
Manuel invests his money at
7% continuous interest in
how long will he triple his
money? See overhead
p.589: Ex 3
15 m -Modeling the solution of
exponential and
logarithmic equations
-Taking notes  
65 m -Monitoring -Worksheet of
applications
Chapter review

Closure: HW#22: Review and summarize today’s notes; p.591: 1 - 16; KBAC
Lesson Master 9.10B

Material:

Objective:
Standard 14.0: Students understand and use the properties of logarithms to
simplify logarithmic expressions and to identify approximate values

Goals: Review for test

Procedure: Test next time, Friday and Monday.

Time I am doing Student aredoing Comments
25 m -Modeling continuous
interest problem
-Posing question
-Modeling problem
-Taking notes

-Solving problem
-Taking notes
Manuel invests his money at
7% continuous interest in
how long will he triple his
money? See overhead
p.589: Ex 3
70 m -Monitoring -Worksheet Chapter review

Closure: HW#23: Review and summarize today’s notes; p.597: 1 - 20; KBAC
Lesson Master 9.10B

Material:

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