MR 2.3*2$ Use a variety of methods, such as words, numbers, symbols, &&66 :ULWHVLPSOHH[SUHVVLRQVWKDWUHFRUGFDOFXODWLRQVZLWKQXPEHUV DQGLQWHUSUHWQXPHULFDOH[SUHVVLRQVZLWKRXWHYDOXDWLQJWKHP)RUH[DPSOHH[SUHVVWKH charts, graphs, tables, diagrams, and models, to explain FDOFXODWLRQ³DGGDQGWKHQPXOWLSO\E\´DV[ mathematical reasoning. 5HFRJQL]HWKDW[LVWKUHHWLPHVDVODUJHDVZLWKRXWKDYLQJ WRFDOFXODWHWKHLQGLFDWHGVXPRUSURGXFW UNDERLYING SKILLS AND CONCEPTS: read word problems; choose the operation Write an Equation a K ey Ide When you solve problems, use the 4-step Problem-Solving Plan. When you get to Step 3, try writing an equation to solve the problem. E x am p l E 1. What do you need to find out? In what year was John Glenn’s first trip into space? 2. What information can you use? His first trip was 36 years before his 1998 trip. 3. How can you solve the problem? You can write and solve an equation. Since his first trip was 36 years before 1998, you can subtract. 1998 ! 36 " 1962 So, 1962 was the year of Glenn’s first flight. 4. How can you check your answer? page 230 To check, add 36 years to 1962. If you get 1998, your calculation is correct. Chapter 20 – Lesson 1 D – © CSL Associates, Inc. All rights reserved. In 1998, John Glenn flew into space for the second time. The first time was 36 years earlier. In what year was Glenn’s first space flight? Name P RAC T I C E Solve. Explain your strategy. 1. Blue Canyon, California is the snowiest place in the United States. It gets a yearly average of 240 inches of snow. Marquette, Michigan, in second place, gets 111 inches less than that. How much snow does Marquette get on average each year? 240 111 129 in. 2. A video game that has a price of $38.99 actually costs $42.11 if the sales tax rate is 8%. How much is the amount of the sales tax? D – © CSL Associates, Inc. All rights reserved. $42.11 $38.99 $3.12 3. Each year, Americans eat an average of about 24 pounds of lettuce. This is 3 times more than the amount of carrots Americans eat each year. About how many pounds of carrots does the average American eat each year? 4. Hundreds of people claim to have seen Bigfoot. One footprint that was found was 41 centimeters long. Its width was 25 centimeters less than its length. How wide was the footprint? 41 25 16 cm 5. A rectangular rug has an area of 48 square feet. It measures 72 inches on one side. What are the dimensions of the rug? (Hint: Convert inches to feet first.) 72 inches 6 feet So one measure is 6. 48 6 8. The rug is 8 feet long and 6 feet wide. 24 3 8 pounds Math Reasoning Problem Solving MR 2.6 6. A football field is a rectangle 120 yards long. Its perimeter is 346 yards. Find the width of this football field. P l l w w; l 120 yd; P 240 w w 346 240 106; 106 2 53 The field is 53 yards wide. Chapter 20 – Lesson 1 page 231 MCX94.HW.CL.G4.FM&Lesson.v211 8/2/04 19:16 Page 154 Name …at home! P RAC T I C E Solve. Explain your strategy. 240 129 111 in. 2. A paint set that has a price of $25.99 actually costs $28.07 if the sales tax rate is 8%. How much is the amount of the sales tax? $28.07 $25.99 $2.08 3. Each year, Americans eat an average of about 24 pounds of lettuce. This is 8 times more than the amount of radishes Americans eat each year. About how many pounds of radishes does the average American eat each year? 4. Hundreds of people claim to have seen Bigfoot. One footprint that was found was 41 centimeters long. Its width was 16 centimeters. How much longer is the footprint than it is wide? 41 16 25 cm 5. A rectangular rug has an area of 35 square feet. It measures 60 inches on one side. What are the dimensions of the rug? (Hint: Convert inches to feet first.) 60 inches 5 feet So one measure is 5. 35 5 7. The rug is 7 feet long and 5 feet wide. 24 8 3 pounds Math Reasoning Problem Solving MR 2.6 6. A park is a rectangle 60 yards long. It is twice as long as it is wide. Find the width of this basketball court. What is its perimeter? l 60 yd; 2 w 60 yd; w 30 yd P 2l 2w; , P 2 60 2 30; 120 60 180 yd. 346 240 106; 106 2 53 The field is 53 yards wide. page 154 Home Resource and Homework Chapter 20 Lesson 1 D – © CSL Associates, Inc. All rights reserved. 1. Blue Canyon, California is the snowiest place in the United States. It gets a yearly average of 240 inches of snow. Marquette, Michigan, in second place, gets 129 inches of snow. How much more snow does Blue Canyon get on average each year? MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:03 Page 425 Name P RAC T I C E Solve. Explain your strategy. 1. Blue Canyon, California is the snowiest place in the United States. It gets a yearly average of 240 inches of snow. Marquette, Michigan, in second place, gets 111 inches less than that. How much snow does Marquette get on average each year? 240 111 129 in. 2. A video game that has a price of $38.99 actually costs $42.11 if the sales tax rate is 8%. How much is the amount of the sales tax? D – © CSL Associates, Inc. All rights reserved. $42.11 $38.99 $3.12 3. Each year, Americans eat an average of about 24 pounds of lettuce. This is 3 times more than the amount of carrots Americans eat each year. About how many pounds of carrots does the average American eat each year? 4. Hundreds of people claim to have seen Bigfoot. One footprint that was found was 41 centimeters long. Its width was 25 centimeters less than its length. How wide was the footprint? 41 25 16 cm 5. A rectangular rug has an area of 48 square feet. It measures 72 inches on one side. What are the dimensions of the rug? (Hint: Convert inches to feet first.) 72 inches 6 feet So one measure is 6. 48 6 8. The rug is 8 feet long and 6 feet wide. 24 3 8 pounds Math Reasoning Problem Solving MR 2.6 6. A football field is a rectangle 120 yards long. Its perimeter is 346 yards. Find the width of this football field. P l l w w; l 120 yd; P 240 w w 346 240 106; 106 2 53 The field is 53 yards wide. Chapter 20 – Lesson 1 Student Book Page page 231 Name …at home! P RAC T I C E Solve. Explain your strategy. 240 129 111 in. 2. A paint set that has a price of $25.99 actually costs $28.07 if the sales tax rate is 8%. How much is the amount of the sales tax? $28.07 $25.99 $2.08 3. Each year, Americans eat an average of about 24 pounds of lettuce. This is 8 times more than the amount of radishes Americans eat each year. About how many pounds of radishes does the average American eat each year? 4. Hundreds of people claim to have seen Bigfoot. One footprint that was found was 41 centimeters long. Its width was 16 centimeters. How much longer is the footprint than it is wide? 41 16 25 cm 5. A rectangular rug has an area of 35 square feet. It measures 60 inches on one side. What are the dimensions of the rug? (Hint: Convert inches to feet first.) 60 inches 5 feet So one measure is 5. 35 5 7. The rug is 7 feet long and 5 feet wide. 24 8 3 pounds Math Reasoning Problem Solving MR 2.6 6. A park is a rectangle 60 yards long. It is twice as long as it is wide. Find the width of this basketball court. What is its perimeter? l 60 yd; 2 w 60 yd; w 30 yd P 2l 2w; , P 2 60 2 30; 120 60 180 yd. 346 240 106; 106 2 53 The field is 53 yards wide. page 154 Home Resource and Homework Chapter 20 Lesson 1 D – © CSL Associates, Inc. All rights reserved. 1. Blue Canyon, California is the snowiest place in the United States. It gets a yearly average of 240 inches of snow. Marquette, Michigan, in second place, gets 129 inches of snow. How much more snow does Blue Canyon get on average each year?
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