SEMI - DETAILED LESSON PLAN 2

STRUCTURED LEARNING EPISODE

I. OBJECTIVES:  By the end of this lesson, students should be able to:

• solve exponential equations with different bases 
• factor exponential equations 
  
• solve exponential equations using a system of linear equations 
  

II. EXPONENTS

III. MATERIAL

• Laptop
• DLP

IV. STRATEGIES

A. Activity

·                     Visit this site for your activity. Click  HERE

B.Analysis

• What particular strategies did you apply in solving the exponents  in the activity?

C. Abstraction

• Visit this site to know how to solve exponential problems. Click HERE

D. Application

·                     Visit this site for the examples of application in  solving exponential problems. Click HERE

• answer this applications:

1.

If you invested $1,000 in an account paying an annual percentage rate (quoted rate) of 12%, compounded quarterly, how much would you have in you account at the end of 1 year, 10 years, 20 years, 100 years?

2.

If you invested $1,000 in an account paying an annual percentage rate (quoted rate) of 12%, compounded weekly, how much would you have in you account at the end of 1 year, 10 years, 20 years, 100 years?

3.

If you invested $1,000 in an account paying an annual percentage rate (quoted rate) compounded daily (based on a bank year of 360 days) and you wanted to have $2,500 in your account at the end of your investment time, what interest rate would you need if the investment time were 1 year, 10 years, 20 years, 100 years?

4.

If you invested $1,000 in an account paying an annual percentage rate (quoted rate) of 12%, compounded hourly (based on a bank year of 360 days), how much would you have in you account at the end of 1 year, 10 years, 20 years, 100 years?

5.

If you invested $1,000 in an account paying an annual percentage rate (quoted rate) of 12%, compounded continuously, how much would you have in you account at the end of 1 year, 10 years, 20 years, 100 years?

6.

If you invested $1,000 in an account paying an annual percentage rate compounded quarterly , and you wanted to have $2,500 in your account at the end of your investment time, what interest rate would you need if the investment time were 1 year, 10 years, 20 years, 100 years? 

V. ASSIGNMENT:

• factor exponents

1.  1⁄243 
2.   27⁄125 
3.  64⁄25 
4.  125⁄343 

• solve for x

5.  3^2x–1 = 27
6.  3^x = 9
7.  10^1–x = 10⁴
8.  4^{2x^2+2x} = 8.
9.  10^1–x = 10^4
10.  3^{x^2–3x} = 81