# 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 m30 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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