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FraDentage. CONVERSION. A L earner- C entered L earning E nvironment Module. Task Sheet. NAME ___________________________________ YEAR and SECTION ______________________ DATE ____________________________________ TEACHER________________________________. By:.
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FraDentage CONVERSION A Learner-Centered Learning Environment Module Task Sheet NAME ___________________________________ YEAR and SECTION ______________________ DATE ____________________________________ TEACHER________________________________ By: 1234567891011121314151617181920
Jeck and Jill are both 1st Year high school students at Chocolate Hills National High School in Bohol but they belong to different sections. Both of them are living in a dormitory and every morning they climb up the hill to fetch a pail of water. One time they make a bet, whoever performs better in the Semestral Examination in Basic Mathematics will be exempt from fetching water for the whole week. On exam day, Jeck got 60 corrrect answers out of a total of 80 items while Jill got 65 out of 90 in Basic Mathematics. Who do you think got the better score, Jeck or Jill? Jeck Jill 1234567891011121314151617181920
Who do you think won the bet and will be exempt from fetching water? Who performed better in the Basic Mathematics Semestral Examination? Put a check mark before the correct answer or write your answer on the space provided below if you think none of the choices below is the correct one. M. Jeck, because she got 65 while Jill only got 60 A. Jill, because 60/80 is greater than 65/90 T. It cannot be determined because the total number of items are different. H. Other __________________________________ __________________________________________ 1234567891011121314151617181920
Lets analyze this… M.Jeck, because she got 65 while Jill only got 60. Why do you think that a better performance should be based on the score? __________________________ ___________________________ T.Its hard to determine because the total number of items are different. How would you change the given in order to find who performed better? ___________________________ ___________________________ A.Jill, because 60/80 is greater than 65/90 Why do you say that 60/80 is greater than 65/90? ___________________________ ___________________________ H.Other __________________________________________________________________________________________________________________________________________________________________ 1234567891011121314151617181920
In our everyday life, we encounter fractions, decimals and percents. To fully understand them, you should be able to change one number form to another. CLICK ME to learn about converting fractions to percentages. Lesson 1 Now that you have learned to convert fractions to percentages, let us do some exercises by clicking on the book below 1234567891011121314151617181920
Activity Sheet 1: Convert the following fractions to percents. Method 1: Use divifraction as a percent.sion to write the Method 2: Write an equivalent fraction with a denominator of 100 1. 8/25 ______________ Write an equivalent fraction with a denominator of 100 ______________ Write the numerator with a percent symbol 1. 8/25 ______________ Divide the numerator by the denominator (decimal form) ______________ Multiply by 100 by moving the decimal point right two spaces. Add the percent symbol. 2. 5/6 ______________ Write an equivalent fraction with a denominator of 100 ______________ Write the numerator with a percent symbol 2. 5/6 ______________ Divide the numerator by the denominator (decimal form) ______________ Multiply by 100 by moving the decimal point right two spaces. Add the percent symbol. 3. 1/20 ______________ Divide the numerator by the denominator (decimal form) ______________ Multiply by 100 by moving the decimal point right two spaces. Add the percent symbol. 3. 1/20 ______________ Write an equivalent fraction with a denominator of 100 ______________ Write the numerator with a percent symbol 1234567891011121314151617181920
To learn about changing percentages to fractions CLICK ME. Lesson 2 Now that you have learned to convert percentages to fractions, let us do some exercises by clicking on the book below 1234567891011121314151617181920
Activity Sheet 2: Convert the following percents to fractions. 1. 25% _____________________ Remove the percentage sign then put the number over 100 _____________________ Simplify if possible 2. 76% _____________________ Remove the percentage sign then put the number over 100 _____________________ Simplify if possible 3. 110% _____________________ Remove the percentage sign then put the number over 100 _____________________ Simplify if possible 1234567891011121314151617181920
To learn about changing decimals to percentages CLICK ME. Lesson 3 Now that you have learned to convert decimals to percentages, let us do some exercises by clicking on the book below 1234567891011121314151617181920
Activity Sheet 3: Convert the following decimals to percentages. 1. 0.11 _____________________ Multiply the decimal by 100 _____________________ Add the % sign 2. 0.69 _____________________ Multiply the decimal by 100 _____________________ Add the % sign 3. 0.02 _____________________ Multiply the decimal by 100 _____________________ Add the % sign 1234567891011121314151617181920
To learn about changing percentages to decimals CLICK ME. Lesson 4 Now that you have learned to convert percentages to decimals, let us do some exercises by clicking on the book below 1234567891011121314151617181920
Activity Sheet 4: Convert the following percentages to decimals. 1. 9% Remove the percentage sign: _________ Then divide it by 100. Final Answer: _____________ 4. 45% Remove the percentage sign: _________ Then divide it by100. Final Answer: _____________ 5. 80% Remove the percentage sign: _________ Then divide it by 100. Final Answer: ____________ 2. 17% Remove the percentage sign: _________ Then divide it by 100 Final Answer: _____________ 3. 31% Remove the percentage sign: _________ Then divide it by100. Final Answer: _____________ 6. 63% Remove the percentage sign: __________ Then divide it by100. Final Answer: _____________ 1234567891011121314151617181920
Other helpful internet sites Fishing for math links • Dive into these swimming holes to learn more about fractions, decimals, and percents or any other math topic. • Meter Math resources • Ask Dr. Math • Saloon Snap - A BBC Education Game of conversion (lots of fun) • Marin College, CA Mathematics Department – Converting repeating decimals to fractions • Math.com • Decimal matching – Harcourt school publishers site 1234567891011121314151617181920
More Exercises… In mathematics, you need to solve exercises on your own without the help of anyone to check if you really understood the lesson. Click Hello Kitty for more exercises. 1234567891011121314151617181920
Going back to the original problem… Jeck’s score is 60 out of 80 Jill’s score is 65 out of 90 Convert 65/90 to percent ___________________ ___________________ Convert 60/80 to percent ______________________ ______________________ So who won the bet? 1234567891011121314151617181920
Some Applications (Word Problems) Answer the following completely. Write your answer on a whole sheet of paper. • Berto shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets? • The Pink Panthers won 7 games, lost 9 games and tied 2 games. What percent of the games did they win? 3. Escape velocity is the speed necessary to escape the gravitational pull of a planet. The escape velocity of Earth is 11.3 kilometers per second, while the escape velocity for Saturn is 310% of that. What is the escape velocity of Saturn? 4. All the backpacks at Olympic Village are on sale at 30% off the marked price. Tricia bought a backpack that was marked Php 1 600. a. How much did she save? b. How much did she spend? 5. World population increased from 2.3 billion in 1900 to 6.1 billion in 2000. What was the percent of increase? Check your answers 1234567891011121314151617181920
“Comparing all three” Game… Can you match the fractions, decimals or percentages pairs? Click the calculator to play the game and have fun. 1234567891011121314151617181920
FINAL OUTPUT 1. Choose two(2) group mates. 2. As a group, identify items that we use in everyday life which quantities are expressed in fractions, decimals or percentages. Enumerate 5 items for each number form then convert them to the other two number forms. 3. Use the following format in a short bond paper: A. Items (in percentage) Decimal Fraction 1. 2. 3. 4. 5. B. Items (in decimal) Fraction Percentage 1. 2. 3. 4. 5. C. Items (in fraction form) Percentage Decimal 1. 2. 3. 4. 5. 4. Attach a copy of your solution (again, in short bond paper). Please use the method learned in this module. 5. Refer to the rubric on the next slide for the basis of grading. 1234567891011121314151617181920
RUBRIC 1234567891011121314151617181920
Things to Ponder 1.Why is it necessary to convert one number form to another? ____________________________________________________________________ 2. Are fractions, decimals, and percentages useful in our everyday lives? Explain. ____________________________________________________________________ 1234567891011121314151617181920
END 1234567891011121314151617181920
Practice Exercises… I. Write these fractions as percents. 1. 1/4 = _________ 2. 1/10 = _________ 3. 3/4 = _________ 4. 1/25 = _________ 5. 1/100 = _________ III. Write these decimals as percents. 1. 0.5 = _________ 2. 0.3 = _________ 3. 0.7 = _________ 4. 0.01 = _________ 5. 0.25 = _________ II. Convert the following percents to fractions. 1. 35% = _________ 2. 8% = _________ 3. 72% = _________ 4. 40% = _________ 5. 64% = _________ IV. Convert the following percents to decimals. 1. 3% = _________ 2. 10% = _________ 3. 24% = _________ 4. 68% = _________ 5. 90% = _________ Answer Key Back to the module
Practice Exercises (Answer Key)… I. Write these fractions as percents. 1. 1/4 = 25% 2. 1/10 = 10% 3. 3/4 = 75% 4. 1/25 = 4% 5. 1/100 = 1% III. Write these decimals as percents. 1. 0.5 = 50% 2. 0.3 = 30% 3. 0.7 = 70% 4. 0.01 = 1% 5. 0.25 = 25% II. Convert the following percents to fractions. 1. 35% = 7/20 2. 8% = 2/25 3. 72% = 18/25 4. 40% = 2/5 5. 64% = 16/25 IV. Convert the following percents to decimal. 1. 3% = 0.03 2. 10% = 0.10 or 0.1 3. 24% = 0.24 4. 68% = 0.68 5. 90% = 0.90 or 0.9 Back to the module
Some Applications (Word Problems) ANSWER KEY 1. 60.71% 2. 38.89% 3. 35.03 kilometers per second 4. a. Php 480 b. Php 1 120 5. 265.22% Back to the module