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
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: