&&66 8QGHUVWDQGUDWLRFRQFHSWVDQGXVHUDWLRUHDVRQLQJWRVROYH NS 2.5*53 Compute and perform simple multiplication and division of SUREOHPV fractions and apply these procedures to solving problems. &&66 *53 8QGHUVWDQGWKHFRQFHSWRIDUDWLRDQGXVHUDWLRODQJXDJHWR GHVFULEHDUDWLRUHODWLRQVKLSEHWZHHQWZRTXDQWLWLHV)RUH[DPSOH³7KHUDWLRRIZLQJVWR EHDNVLQWKHELUGKRXVHDWWKH]RRZDVEHFDXVHIRUHYHU\ZLQJVWKHUHZDVEHDN´ ³)RUHYHU\YRWHFDQGLGDWH$UHFHLYHGFDQGLGDWH&UHFHLYHGQHDUO\WKUHHYRWHV´ UNDERLYING SKILLS AND CONCEPTS: compare whole numbers; fractions Understand Ratios There are 3 boys and 4 girls in drama club. What is the ratio of boys to girls? A ratio is a comparison between two numbers. The ratio of boys to girls is 3 to 4. 3 We can write it 3 : 4 or ! . 4 Notice that a ratio can look like a fraction. This ratio tells you that there are more girls than boys. E x am p l E 1 What is the ratio of new releases to comedy? 1 The ratio is 1 to 5 or 1 : 5 or !5 . What is the ratio of comedy to new releases? 5 The ratio is 5 to 1 or 5 : 1 or !1 . E x am p l E The order of the numbers in a ratio is important. The order of the numbers tells which item is being compared first. Both ratios tell you that there are more comedy than new releases. 2 A bag has 8 marbles. 3 are white and 5 are gray. What is the ratio of white marbles to the entire bag of marbles? 3 The ratio is 3 : 8 or !8 . Notice that this ratio compares part of the bag to the whole bag. What is the ratio of the entire bag to the gray marbles? 8 8 : 5 or !5 . page 254 Chapter 22 – Lesson 1 E – © CSL Associates, Inc. All rights reserved. The video store has 1 section for new releases and 5 sections for comedy. Name P RAC T I C E Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol. 1. striped marbles to solid marbles 2. striped marbles to all the marbles 1 , 1 to 4, 1 : 4 4 3. solid marbles to spiral swirl marbles 1 , 1 to 7, 1 : 7 7 4. all the marbles to spiral swirl marbles 4 , 4 to 2, 4 : 2 2 7 , 7 to 2, 7 : 2 2 Write a ratio for each situation. Write the ratio as a fraction. 5. 5 boys and 7 girls joined the karate E – © CSL Associates, Inc. All rights reserved. team. What is the ratio of boys to girls on the team? 5 7 6. For every 1 game that the baseball team lost, they won 2 games. What is the team’s ratio of losses to wins? 1 2 7. 3 teachers and 4 parents came to 8. Jan’s computer has 3 math programs supervise the karate team. What is the ratio of parents to teachers? and 4 reading programs. What is the ratio of reading programs to all the programs? 4 3 4 7 Math Reasoning Ratios MR 2.3 1 9. In a box of cookies, the ratio of chocolate chip to mint fudge is 3 or 1 : 3. Are there more chocolate chip or more mint fudge cookies in the box? Explain your answer. More mint fudge. The item with the greater number in a ratio is the item that is larger or has more. Chapter 22 – Lesson 1 page 255 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:03 Page 170 Name …at home! P RAC T I C E Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol. 1. striped marbles to spiral swirl marbles 2. solid marbles to all the marbles 1 , 1 to 2, 1 : 2 2 4 , 4 to 7, 4 : 7 7 3. solid marbles to striped marbles 4. all the marbles to striped marbles 4 , 4 to 1, 4 : 1 1 7 , 7 to 1, 7 : 1 1 Write a ratio for each situation. Write the ratio as a fraction. 6. For every 1 game that the basketball team. What is the ratio of boys to girls on the team? team lost, they won 4 games. What is the team’s ratio of losses to wins? 6 8 1 4 7. 2 teachers and 5 parents came to 8. Mary’s computer has 3 math programs supervise the swim team. What is the ratio of parents to teachers? and 2 reading programs. What is the ratio of math programs to all the programs? 5 2 3 5 Math Reasoning Ratios MR 2.3 1 9. In a box of cookies, the ratio of oatmeal to taffy is or 1 : 4. 4 Are there more oatmeal or more taffy cookies in the box? Explain your answer. More taffy cookies. The item with the greater number in a ratio is the item that is larger or has more. page 170 Home Resource and Homework Chapter 22 Lesson 1 E – © CSL Associates, Inc. All rights reserved. 5. 6 boys and 8 girls joined the swim MCX94TEG5CH01_32.v7.4.2 2/24/01 19:48 Page 469 Name P RAC T I C E Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol. 1. striped marbles to solid marbles 2. striped marbles to all the marbles 1 , 1 to 4, 1 : 4 4 1 , 1 to 7, 1 : 7 7 3. solid marbles to spiral swirl marbles 4. all the marbles to spiral swirl marbles 4 , 4 to 2, 4 : 2 2 7 , 7 to 2, 7 : 2 2 Write a ratio for each situation. Write the ratio as a fraction. 5. 5 boys and 7 girls joined the karate E – © CSL Associates, Inc. All rights reserved. team. What is the ratio of boys to girls on the team? 5 7 6. For every 1 game that the baseball team lost, they won 2 games. What is the team’s ratio of losses to wins? 1 2 7. 3 teachers and 4 parents came to 8. Jan’s computer has 3 math programs supervise the karate team. What is the ratio of parents to teachers? and 4 reading programs. What is the ratio of reading programs to all the programs? 4 3 4 7 Math Reasoning Ratios MR 2.3 1 9. In a box of cookies, the ratio of chocolate chip to mint fudge is or 1 : 3. Are there 3 more chocolate chip or more mint fudge cookies in the box? Explain your answer. More mint fudge. The item with the greater number in a ratio is the item that is larger or has more. Chapter 22 – Lesson 1 Student Book Page page 255 Name …at home! P RAC T I C E Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol. 1. striped marbles to spiral swirl marbles 2. solid marbles to all the marbles 1 , 1 to 2, 1 : 2 2 4 , 4 to 7, 4 : 7 7 3. solid marbles to striped marbles 4. all the marbles to striped marbles 7 , 7 to 1, 7 : 1 1 4 , 4 to 1, 4 : 1 1 Write a ratio for each situation. Write the ratio as a fraction. 6. For every 1 game that the basketball team. What is the ratio of boys to girls on the team? team lost, they won 4 games. What is the team’s ratio of losses to wins? 6 8 1 4 7. 2 teachers and 5 parents came to 8. Mary’s computer has 3 math programs supervise the swim team. What is the ratio of parents to teachers? and 2 reading programs. What is the ratio of math programs to all the programs? 5 2 3 5 Math Reasoning Ratios MR 2.3 1 9. In a box of cookies, the ratio of oatmeal to taffy is 4 or 1 : 4. Are there more oatmeal or more taffy cookies in the box? Explain your answer. More taffy cookies. The item with the greater number in a ratio is the item that is larger or has more. page 170 Home Resource and Homework Chapter 22 Lesson 1 E – © CSL Associates, Inc. All rights reserved. 5. 6 boys and 8 girls joined the swim
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