General mathematics for senior high school track.pptx

general mathematics

1. Mathematics

2. Lender/Creditor Borrower/Debtor Principal Interest rate Maturity/Future value

3. “TILL DEBT DO US PART” ” TILL DEBT DO US PART

4. Daniel borrowed Php 100,000.00 from his girlfriend Kathryn at 15% simple interest for 1 year. How much should he pay at the end of the term?

5. The lender or creditor in the problem is _____________. On the other hand, Daniel is the ________________. The principal amount is _______________. The term of investment is _____________. 15% is the ____________. The interest after 1 year is ____________. The maturity or future value is ________.  

6.   How did you find the activity? Were you able to easily find the needed data in the given problem? Explain why. How did you able to solve for the maturity or future value?

7. After a year, Daniel was not able to pay Kathryn. If you were on the shoes of Kathryn, what would you do?

8. Daniel asked Kathryn to let him pay the maturity value after 4 years. Kathryn decided to let Daniel pay the amount after four years, however, interest would be at 15% compounded annually. How much should Daniel pay after 4 years?

9. COMPOUND INTEREST Compounding Once A Year

10. Our Target: Identify the formula in computing compound interest Calculate the maturity value or future value in compound interest environment Make a sound decision based on the given data

11. COMPOUND INTEREST Compounding Once A Year

12. Year (t) Principal = Php 100,000.00 Interest rate = 15%, compounded annually Keywords: Principal = P Interest rate = r compounded annually Amount at the end of the Year Amount at the end of the Year 1 100,000 x 1.15 = 115,000 P x (1 + r) F = P(1 + r) 2 115,000 x 1.15 = 132,250 P(1 + r) x (1 + r) F = P(1 + r) 2 3 132,250 x 1.15 = 152,087.50 P(1 + r) 2 x (1 + r) F = P(1 + r) 3 4 152,087.50 x 1.15 = 174,900.625 P(1 + r) 3 x (1 + r) F = P(1 + r) 4

13. What were the data needed to be able to compute for the maturity or future value? Using the keywords, write a mathematical sentence on how to find the maturity or future value of an amount compounded annually. Translate the mathematical sentence into mathematical symbols to derive the formula in finding the maturity or future value of an amount compounded annually.

14. EXAMPLE 1: Daniel asked Kathryn to let him pay the maturity value after 4 years. Kathryn decided to let Daniel pay the amount after four years, however, interest would be at 15% compounded annually. How much should Daniel pay after 4 years?

15. EXAMPLE 2: Find the maturity value if Php 70,000 is borrowed from the Rural Bank of Pola at 5% compounded annually for 8 years.

16. HOW DO WE SOLVE FOR THE MATURITY VALUE ?

17. ACTIVITY: FILL ME!

18. Group 1 and Group 4 James Red borrowed Php 100,000 at 8% compounded annually from Card Bank Inc to start his weaving business. How much will he be paying after 2 years?

19. Group 2 and Group 5 SIDC lends Php 45,000 for 3 years at 5% compounded annually. Find the future value of this amount.

20. Group 3 and Group 6 Miko has Php 250,000 to invest at 6% compounded monthly at Landbank of the Philippines. Find the maturity value if he invests for 3 years.

21. ACTIVITY: YOU COMPLETE ME!

22. Problem: Find the maturity value if Php10,000 is deposited in Metrobank at 5% compounded annually for 5 years. 1. The present value (P) is _________________. 2. The interest rate (r) is ________ or __________ if written in decimal form.

23. 3. Based on the given problem, the term of investment is __________. 4. To solve for the maturity or future value, use the formula ___________. 5. The computed maturity or future value is _________.

24. Directions: Write a letter that details the investment that she should choose to assist her in deciding on the investment that will generate the higher interest. Problem: Suppose Mary Ann has an amount of Php 30,000 to be invested for 3 years. Help her find the future value based on the following investments: Simple interest of 9% at Rural Bank of Roxas 8.5% compounded annually at Rural Bank of Pinamalayan