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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 m30 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