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(operations on percent) Lesson Plan

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(operations on percent) Lesson Plan

  1. 2. Four Fundamental of Operation
  2. 3. Operations on Percent By: Angel A. Abrilla Jr. Student Teacher
  3. 4. Rule #1 <ul><li>To multiply a number by any percent: convert the percent to its equivalent decimal number, then multiply it to the given. </li></ul><ul><li>Here are the examples </li></ul><ul><li>1.) 25% of 80 = 0.25 x 80=20 </li></ul><ul><li>2.) 65% of 400 = 0.65 x 400=260 </li></ul>
  4. 5. Rule #2 <ul><li>To multiply by a fraction of 1%, first get one percent of the number and multiply this product by the fraction of the percent given. </li></ul><ul><li>Here’s the example: </li></ul><ul><li>A. 1/3% of 300 </li></ul><ul><li>means 1/3 of 1% of 300 </li></ul><ul><li>1/3 of (1% of 300) </li></ul><ul><li>= 1/3 x 3 =1 </li></ul>
  5. 6. <ul><li>Another example: </li></ul><ul><li>15% of 4500 </li></ul><ul><li>means 1/5 of (1% of 4500) </li></ul><ul><li>1/5 of 45 </li></ul><ul><li>=9 </li></ul>
  6. 7. Rule #3 <ul><li>To multiply a number by any of these aliquot parts, it is easier to convert the percent first to the fractional equivalent then multiply. </li></ul><ul><li>Here’s the example: </li></ul><ul><li>A. 12 ½ % of P5600 </li></ul><ul><li>=1/8 x P5600 </li></ul><ul><li>= P700 </li></ul>
  7. 8. Another example: <ul><li>B. 83 1/3 % of P420 </li></ul><ul><li>= 5/6 x P420 </li></ul><ul><li>= P350 </li></ul>
  8. 9. Rule #4 <ul><li>To divide a number by a percent, convert the percent to its decimal or fractional equivalent before doing the division </li></ul><ul><li>Here’s the given example: </li></ul><ul><li>A. 18 is 36% of what number? </li></ul><ul><li>Solution: </li></ul><ul><li>18/36% </li></ul><ul><li>= 18/0.36 </li></ul><ul><li>=1800/36 </li></ul><ul><li>= 50 </li></ul>
  9. 10. Another example: <ul><li>48 is 37 ½ % of what number? </li></ul><ul><li>Solution: </li></ul><ul><li>48/37 ½% </li></ul><ul><li>= 48/ 3/8 </li></ul><ul><li>= 48 x 8/3 </li></ul><ul><li>= 128 </li></ul><ul><li>48/37 ½% </li></ul><ul><li>= 48/ 37.5% </li></ul><ul><li>= 48/0.375 </li></ul><ul><li>= 48000/375 </li></ul><ul><li>= 128 </li></ul><ul><li>Or </li></ul>
  10. 11. Answer the following given questions. <ul><li>1.) 50% of 5600 </li></ul><ul><li>2.) 1% of 970 </li></ul><ul><li>3.) What number of 50% is 2? </li></ul><ul><li>4.) What number of 10% is 15? </li></ul><ul><li>5.) 18 is what number of 25% </li></ul>
  11. 12. Answers: <ul><li>1.) ½ x 5600 </li></ul><ul><li>= 280 </li></ul><ul><li>2.) 0.01 x 970 </li></ul><ul><li>= 9.7 </li></ul><ul><li>3.) 2/.50 = 200/50 </li></ul><ul><li>= 4 </li></ul><ul><li>4.) 15/.10 = 1500/10 </li></ul><ul><li>= 150 </li></ul><ul><li>5.) 18/25% = 18/0.25 = 1800/25 </li></ul><ul><li>=72 </li></ul>
  12. 13. How to multiply a number by any percent? <ul><li>Convert the percent to its equivalent decimal number, then multiply. </li></ul>
  13. 14. How about multiplying a number by any of the aliquot parts? <ul><li>Convert the percent first to the fractional equivalent then multiply. </li></ul>
  14. 15. If there are sales in the mall, is it good to buy a discounted item than the original price?
  15. 16. Find each number using a fraction for the percent. <ul><li>1. 10% of 500 </li></ul><ul><li>2. 20% of 60 </li></ul><ul><li>3. 50% of 125 </li></ul><ul><li>4. 50% of 540 </li></ul><ul><li>5. 12 ½ % of 36 </li></ul>
  16. 17. Answers: <ul><li>1. 10/100 = 1/10 x 500 = 50 </li></ul><ul><li>2. 20/100 = 1/5 x 60 = 12 </li></ul><ul><li>3. 50/100 = ½ x 125 = 62/ ½ or 62.5 </li></ul><ul><li>4. 50/100 = ½ x 540 = 270 </li></ul><ul><li>5. 12.5/100 = 1/8 x 36 = 4/ ½ or 4.5 </li></ul>
  17. 18. Get a piece of paper, find the total cost , including tax. <ul><li>1. A hamburger meal costs P40. The sales tax is 4%. </li></ul><ul><li>2. A calculator sells for P850. The sales tax is 6%. </li></ul><ul><li>3. Jack bought 3 diskettes at P35 each, s 5% sales tax. </li></ul><ul><li>4. A record sells for P48. The sales tax is 7%. </li></ul>
  18. 19. Answers: <ul><li>1.) Total cost: 38.4 </li></ul><ul><ul><ul><li>Tax: 1.6 </li></ul></ul></ul><ul><li>2.) Total cost: 799 </li></ul><ul><ul><ul><li>Tax: 51 </li></ul></ul></ul><ul><li>3.) Total cost: 105 </li></ul><ul><ul><ul><li>Tax: 5.25 </li></ul></ul></ul><ul><li>4.) Total cost: 44.64 </li></ul><ul><ul><ul><li>Tax: 3.36 </li></ul></ul></ul>
  19. 20. Assignment: Answer page 226, guided practice (B only) on Integrative Mathematics 6.

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