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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