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NAME ___________________________________ YEAR and SECTION ______________________ DATE ____________________________________ TEACHER________________________________ Task Sheet FraDentage CONVERSION A Learner-Centered Learning Environment Module By:

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Jeck Jill 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 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?

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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 __________________________________ __________________________________________

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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? ___________________________ H. Other ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ A. Jill, because 60/80 is greater than 65/90 Why do you say that 60/80 is greater than 65/90? ___________________________ ___________________________

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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. Now that you have learned to convert fractions to percentages, let us do some exercises by clicking on the book below

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Activity Sheet 1: Convert the following fractions to percents. 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. Method 1: Use divifraction as a percent.sion to write the 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. Method 2: Write an equivalent fraction with a denominator of /25 ______________Write an equivalent fraction with a denominator of 100 ______________Write the numerator with a percent symbol 2. 5/6 ______________Write an equivalent fraction with a denominator of 100 ______________Write the numerator with a percent symbol 3. 1/20 ______________Write an equivalent fraction with a denominator of 100 ______________Write the numerator with a percent symbol

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To learn about changing percentages to fractions CLICK ME. Now that you have learned to convert percentages to fractions, let us do some exercises by clicking on the book below

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Activity Sheet 2: Convert the following percents to fractions % _____________________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 % _____________________Remove the percentage sign then put the number over 100 _____________________Simplify if possible

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To learn about changing decimals to percentages CLICK ME. Now that you have learned to convert decimals to percentages, let us do some exercises by clicking on the book below

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Activity Sheet 3: Convert the following decimals to percentages _____________________Multiply the decimal by 100 _____________________Add the % sign _____________________Multiply the decimal by 100 _____________________Add the % sign _____________________Multiply the decimal by 100 _____________________Add the % sign

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To learn about changing percentages to decimals CLICK ME. Now that you have learned to convert percentages to decimals, let us do some exercises by clicking on the book below

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Activity Sheet 4: Convert the following percentages to decimals. 1. 9% Remove the percentage sign: _________ Then divide it by 100. Final Answer: _____________ 3. 31% Remove the percentage sign: _________ Then divide it by100. Final Answer: _____________ 2. 17% 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: ____________ 6. 63% Remove the percentage sign: __________ Then divide it by100. Final Answer: _____________

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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)Saloon Snap Marin College, CA Mathematics Department – Converting repeating decimals to fractionsMarin College, CA Mathematics Department Math.com Decimal matching – Harcourt school publishers siteDecimal matching Other helpful internet sites

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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

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Going back to the original problem… Jeck’s score is 60 out of 80 Jill’s score is 65 out of 90 Convert 60/80 to percent ______________________ Convert 65/90 to percent ___________________ So who won the bet?

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Some Applications (Word Problems) Answer the following completely. Write your answer on a whole sheet of paper. 1.Berto shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets? 2.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 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 What was the percent of increase? Check your answers

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“Comparing all three” Game… Can you match the fractions, decimals or percentages pairs? Click the calculator to play the game and have fun

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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)DecimalFraction B. Items (in decimal)FractionPercentage C. Items (in fraction form)PercentageDecimal 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

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RUBRIC CriteriaExcellentGood Needs Improvement PointsRemarks Items listed (10pts) Complete and follows the given guidelines. (8-10) Incomplete but follows the given guidelines. (5-7) Incomplete and does not follow the given guidelines (1-4) Solution (15pts) The solution is step- by-step and the final answer is correct. (12-15) The solution is not step-by-step but the final answer is correct. (8-12) The solution is not step-by-step and the final answer is incorrect. (1-7) Presentation (5pts) Follows the given format, is neat and free of erasure. (4-5) Follows the given format, is neat but with some erasures. (2-3) The output looks messy and full of erasures. (1) Demonstrated Knowledge (5pts) Shows complete understanding of the lesson, mathematical ideas, and processes. (4-5) The output shows some understanding of the lesson. (2-3) The output shows lack of understanding of the lesson. (1) Total

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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. __________________________________ __________________________________

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END

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Practice Exercises… I. Write these fractions as percents. 1. 1/4= _________ 2. 1/10= _________ 3. 3/4= _________ 4. 1/25= _________ 5. 1/100= _________ II. Convert the following percents to fractions %= _________ 2. 8%= _________ 3. 72%= _________ 4. 40%= _________ 5. 64%= _________ III. Write these decimals as percents = _________ = _________ = _________ = _________ = _________ IV. Convert the following percents to decimals. 1. 3%= _________ 2. 10%= _________ 3. 24%= _________ 4. 68%= _________ 5. 90%= _________ Back to the moduleAnswer Key

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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% II. Convert the following percents to fractions %= 7/ %= 2/ %= 18/ %= 2/ %= 16/25 III. Write these decimals as percents = 50% = 30% = 70% = 1% = 25% IV. Convert the following percents to decimal. 1. 3%= %= 0.10 or %= %= %= 0.90 or 0.9 Back to the module

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Some Applications (Word Problems) ANSWER KEY % % kilometers per second 4. a. Php 480 b. Php % Back to the module

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