Chapter Resources Grade 4, Chapter 2 Contents Resources for Chapter 2: Order and Round Numbers • Lesson Quizzes Lessons 2.1–2.5 Daily Routines Reteach Practice Enrichment Leveled Problem Solving Homework • Chapter 2 Test Individual and Class Record Sheets • Unit 1 Test Individual and Class Record Sheets B Copyright © by Houghton Mifflin Company. All rights reserved. Permission is hereby granted to teachers to reprint or photocopy classroom quantities of the pages or sheets in this work that carry the Houghton Mifflin copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying Houghton Mifflin material, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except as authorized above, prior written permission must be obtained from Houghton Mifflin Company to reproduce or transmit this work or portions thereof in any form or by any electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copyright law. Address inquiries to School Permissions, 222 Berkeley Street, Boston, MA 02116. Printed in the U.S.A. 2–1 Booklet 2 of 29 TTL_73744_U1_C02.indd 2–1 2/1/08 3:11:22 PM Name Date Chapter 2, Lesson 1 Lesson Quiz Lesson 1 Quiz Write the numbers in order from least to greatest. 1. 4,567 4,578 4,478 2. 17,888 3. 2,467 2,578 2,900 2,444 4. 1,111 1,110 1,120 1,115 17,889 4,677 17,890 17,880 Lesson Quiz Use with Chapter 2, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 2, Lesson 2 Lesson Quiz Lesson 2 Quiz Compare. Write > or < or = for each 1. 711,701 2. 99,001 3. 100,937,372 101,937,372 4. 234,561,903 234,561,904 5. 678,432,566 678,432,566 . 711,711 98,001 Lesson Quiz 2–2 Use with Chapter 2, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–2 11/29/07 1:41:05 PM Name Date Chapter 2, Lesson 3 Lesson Quiz Lesson 3 Quiz Round each number to the place of the underlined digit. 1. 123,__ 456 2. 9__ 7,856 3. 4__ 29 4. 8 __0,641 5. 7__ 66,766 Lesson Quiz Use with Chapter 2, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 2, Lesson 4 Lesson Quiz Lesson 4 Quiz Round each number to the nearest hundred thousand. 1. 1,234,567 2. 617,982 3. 42,006,000 4. 893,768,431 Lesson Quiz 2–3 Use with Chapter 2, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–3 11/29/07 1:41:11 PM Name Date Chapter 2, Lesson 5 Lesson Quiz Lesson 5 Quiz Make an organized list to solve each problem. 1. T-shirts come in red, white, and blue. The sizes are S, M, L, and XL. How many possible different T-shirts are there? 2. Four students’ names begin with the letters A, B, C, and D. If each student shakes hands with every other student, how many handshakes will there be? Lesson Quiz Use with Chapter 2, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. Lesson Quiz 2–4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–4 11/29/07 1:41:16 PM Name Chapter 2, Lesson 1 Daily Routines Date Hands On: Compare and Order Whole Numbers Problem of the Day KEY NS 1.1 Marco incorrectly wrote the number 1,783,445 in expanded form. He wrote 1,000,000 + 700,000 + 80,000 + 30,000 + 400 + 40 + 5. What did Marco do wrong? Fix his work. Number Sense KEY NS 1.1 Use Workmat 2 to help write the numbers in word form. 1. 15,781,309 2. 7,829,419 Word of the Day KEY NS 1.2 whole numbers What does it mean if you eat a whole apple? List different ways to show a piece of a number. Facts Practice KEY NS 1.1 Write the number in the hundreds place for each number. 1. 5,700 2. 8,000 3. 42,000 4. 7,100 5. 3,500 6. 30,900 Daily Routines 2–5 Use with Chapter 2, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–5 1/31/08 10:27:26 AM Name Chapter 2, Lesson 1 Reteach Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Using a place value chart can help compare numbers. Compare 41,784 and 41,362. ten thousands thousands hundreds tens ones 4 4 1 1 8 6 7 3 4 2 Step 1 Start at the left. Step 2 Compare the ten thousands. 40,000 = 40,000 Step 3 Compare the thousands. 1,000 = 1,000 Step 4 Compare the hundreds. 700 > 300 Solution: 41,784 > 41,362 Compare. Write > or < for each 1. 689 4. 6,730 7. 14,788 10. 285,812 639 6,703 14,781 285,901 . 2. 2,529 2,578 3. 3,983 5. 2,089 2,980 6. 52,808 8. 45,973 9. 310,365 4,597 11. 976,405 3,783 52,088 310,486 976,045 Writing Math Jack is comparing two numbers. He thinks he should start from the right. Is he correct? Why or why not? Reteach 2–6 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_RET.indd 2–6 2/21/08 9:27:28 AM Name Chapter 2, Lesson 1 Practice Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Use > or < to compare the numbers. Make a number line on a separate sheet of paper to help. 1. 4,351 4. 119,832 7. 9,889 4,315 911,238 8,998 2. 60,060 6,600 5. 745,271 8. 30,298 75,271 30,302 3. 69,780 6. 598,401 9. 14,501 96,870 589,410 13,799 Test Practice Circle the letter of the correct answer. 10. A company tracked their quarterly sales. The company sold 7,348 units in March, 8,382 units in June, 6,943 units in September, and 9,348 units in December. During which month did the company sell the least? A March C June B September D December 11. There were 9,435 visitors to a park on Sunday, 4,688 on Monday, 9,643 on Wednesday, and 10,092 on Saturday. On which day did the most people visit? A Sunday C Wednesday B Monday D Saturday Writing Math When ordering numbers, is it safe to decide that the number with the most 9s in it is the greatest? Explain. Practice 2–7 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_PRAC.indd 2–7 11/29/07 1:43:18 PM Name Date Changing Fives Chapter 2, Lesson 1 Enrichment CA Standard NS 1.2 Change one digit in each number to 5, to make the list below in order from least to greatest. You may choose any digit to change, but you can only change it to 5. Write the new number in the space provided. 12346 12344 11387 14390 15390 15448 15502 13406 43978 54209 Writing Math Eben and Mary are making a number line from 100 to 200 on the chalkboard. Mary says, “I will write the numbers from 150 to 200.” Should Mary stand on the left or the right side of the chalkboard to write? Explain. Enrichment 2–8 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_ENR.indd 2–8 11/29/07 1:43:34 PM Chapter 2, Lesson 1 Name Date Leveled Problem Solving Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Solve each problem. 1. The street where Jamie lives is 4,672 feet long, and the street where Eric lives is 8,193 feet long. Which street is shorter? 2. Jamie’s class sold 1,862 tickets for the school raffle and Eric’s class sold 2,139 tickets. Whose class sold more tickets? 3. Jamie’s class went to Telescope Peak in Death Valley National Park on Wednesday and there were 1,049 visitors. Eric’s class went on Friday, when there were 1,204 visitors. On which day did more people visit? 4. In 2005, there were 827,775 visitors to Death Valley National Park. In 2004, there were 793,730, and in 2003, there were 924,182. Write the numbers of visitors in order from greatest to least. 5. The school bus drove up Telescope Peak to 8,133 feet above sea level. Then the students climbed further up on foot. Jamie climbed up to 8,689 feet. Eric climbed up to 8,722 feet. Who climbed higher? 6. Nina is in Eric’s class. She climbed up to 8,789 feet on Telescope Peak. Telescope Peak is 11,049 feet tall at its highest point. Write an expression using < or > to show the heights Nina, Jamie, and Eric climbed from least to greatest. Leveled Problem Solving 2–9 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_PS.indd 2–9 11/29/07 1:43:54 PM Name Chapter 2, Lesson 1 Homework Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Compare 32,487 and 32,841. Use a number line. 32,487 32,000 32,841 32,500 33,000 32,841 is to the right of 32,487 on the number line. So, 32,841 > 32,487. Make a number line on a separate sheet of paper. Use > or < to compare the numbers. 1. 351 4. 82,828 7. 37,531 531 2. 2,184 1,284 3. 2,349 88,222 5. 6,352 6,325 6. 12,903 19,902 37,135 8. 9,999 11,026 9. 15,932 15,942 4QJSBM3FWJFX 7,439 (Grade 3 Chapter 17, Lesson 4) KEY NS 1.1 10. Use > or < to compare the numbers.1.23 11. Write these numbers in order from least to greatest. 3.24 4.02 3.44 12. Jake has $34.82, Emily has $38.42, and Will has $34.28. Who has the most money? Who has the least? Homework 2–10 0.13 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_HMWK.indd 2–10 11/29/07 1:44:07 PM Name Chapter 2, Lesson 2 Daily Routines Date Compare and Order Whole Numbers Through Millions Problem of the Day KEY NS 1.1 Write 39,914 in expanded notation. Number Sense KEY NS 1.2 Use Workmat 4 to find which is greater: 2,471 or 2,476. Word of the Day KEY NS 1.1 period Name the digits in the thousands period of the number 1,454,683. Facts Practice Gr3 NS 2.3 Multiply or divide. 1. 28 ÷ 4 2. 4×6 4. 54 ÷ 9 5. 9×7 Daily Routines 3. 2–11 8×8 Use with Chapter 2, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–11 11/29/07 1:41:54 PM Name Chapter 2, Lesson 2 Reteach Date Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 When ordering larger numbers, there are more places to compare. Using a place value chart can help. Compare 9,583,802 and 9,591,664. Millions hundreds tens ones 9 9 Thousands hundreds tens ones , , 5 5 8 9 Ones hundreds tens ones , , 3 1 8 6 0 6 2 4 Step 1 The Step 2 The Step 3 The ten millions are both 9. hundred thousands are both 5. thousands digits are 8 and 9. STOP and compare. 9>8 Solution: 9,591,664 > 9,583,802 Compare. Write > or < for each 1. 73,476 73,746 3. 662,453,005 5. 6,027,304 660,453,005 60,023,004 . 2. 8,993,782 4. 12,364,900 6. 620,201,588 9,882,421 12,365,200 580,330,552 Write the numbers in order from least to greatest. 7. 91,234 56,789 9,876 8. 667,676,000 700,079,576 677,000,214 Writing Math Does counting the digits in each number ever help you figure out which one is greater? Explain. Reteach 2–12 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_RET.indd 2–12 11/29/07 1:47:36 PM Name Chapter 2, Lesson 2 Practice Date Compare and Order Whole Numbers Through Millions Compare. Write > or < for each 1. 718 3. 341,762 5. 323,332,223 7. 99,011,032 CA Standards NS 1.2 . 817 341,672 323,332,233 99,010,033 2. 7,439 77,439 4. 78,487,231 78,482,731 6. 73,773,737 73,737,737 8. 617,860,446 617,806,448 Test Practice 9. Jerry took 10,233 steps in one day. Anne took more steps than Jerry. Which amount could be the number of steps Anne took? A B 10,134 C 9,999 D 10. 10,322 All of the following numbers are greater than 1,698,477 except which number? A 1,700,000 C 6,984,777 B 1,698,488 D 1,698,467 1,233 Writing Math Jessica is comparing the numbers 5,553,402 and 5,554,937. She thinks she can tell which one is greater by looking in the hundred thousands place. Is she correct? Explain. Practice 2–13 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_PRAC.indd 2–13 11/29/07 1:47:52 PM Name Chapter 2, Lesson 2 Enrichment Date Making Numbers CA Standards NS 1.2 Use the numbers below to solve the problems. 1,000,000 200,000 50,000 30 8 7,000,000 80,000 7 6,000 500 900,000 2,000 1. Make the greatest seven-digit number you can make from the list, by adding together seven of the numbers. None of the digits in the number should be 0. Show your work. 2. Now make the smallest possible seven-digit number you can make by adding together seven of the numbers. Again, none of the digits in the number you make should be 0. Show your work. Writing Math When does counting the digits in each number help you figure out which number is greater? When does it not help? Enrichment 2–14 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_ENR.indd 2–14 11/29/07 1:48:07 PM Chapter 2, Lesson 2 Name Date Leveled Problem Solving Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 Solve each problem. 1. The Appalachian Trail is about 11,484,000 feet long. The Pacific Crest Trail is about 13,992,000 feet long. Which is longer? 2. The Continental Divide Trail is about 16,368,000 feet long. The American Discovery Trail is about 35,904,000 feet long. Which trail is shorter? 3. The North Country National Scenic Trail is about 24,288,000 feet long. Order the lengths of the North Country Trail, the Appalachian Trail, and the Pacific Crest trail from least to greatest. 4. Write the lengths of the North Country Trail, the American Discovery Trail, and the Pacific Crest Trail from greatest to least. 5. Maxine and Sam biked for six hours a day for five days. When they stopped, Sam had gone 2,376,827 feet, and Maxine had gone 2,376,791 feet. Who went farther? 6. Dexter was riding with Maxine and Sam. He rode for four hours and went 2,376,970 feet, but he took an extra break to fix his bike after he had gone 1,150,000 feet. List the numbers of feet Sam, Maxine, and Dexter rode from least to greatest. Leveled Problem Solving 2–15 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_PS.indd 2–15 11/29/07 1:48:21 PM Name Chapter 2, Lesson 2 Homework Date Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 Order 1,390,674 and 998,390 and 985,722 from least to greatest. Line up the digits and find the greatest place where they differ. 1,390,674 998,390 985,722 The only number with a digit in the millions place is 1,390,674. It is the greatest number. The first place where the other two numbers differ is the ten thousands place: 8 < 9, so 985,722 < 998,390. Solution: 985,722 < 998,390 < 1,390,674 Compare. Write > or < for each 1. 298,942 3. 567,195,753 5. 3,748,573 . 289,942 576,195,753 3,747,326 4QJSBM3FWJFX 2. 454,564 54,564 4. 54,197,324 54,197,342 6. 17,334,768 14,903,352 (Chapter 1, Lesson 4) KEY NS 1.1 7. Write 62,403,000 in expanded notation. 8. Write 20 + 90,000 + 400 + 4,000 + 5,000,000 + 6 in standard form. 9. The Marris family’s warehouse contains 10 apples, 7,000 bananas, 20,000 plums, 300 oranges, and 100,000 grapes. Write the total number of pieces of fruit in standard form. Homework 2–16 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_HMWK.indd 2–16 11/29/07 1:48:37 PM Name Chapter 2, Lesson 3 Daily Routines Date Round Whole Numbers Problem of the Day MR 2.3 John shows 45, 60, 75, and 80 on a number line. By how much should each tic mark on the number line increase? Number Sense KEY NS 1.1 Write the value of the underlined digit. 1. 449,206,007 2. 60,801,993 3. 47,689 Word of the Day KEY NS 1.1 expanded notation What does expanded notation mean? Facts Practice KEY NS 1.2 Order the numbers from least to greatest. 1. 33; 216; 106; 45 2. 1,015; 1,006; 1,218; 1,296 3. 4,399; 4,407; 4,302; 4,286 4. 5,600; 5,031; 5,301; 5,006 Daily Routines 2–17 Use with Chapter 2, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–17 11/29/07 1:42:04 PM Name Chapter 2, Lesson 3 Reteach Date Round Whole Numbers CA Standard NS 1.3 To round numbers, look at the place value to the right of the one you are rounding to. Round 1,352 to the nearest thousand. Step 1 When you round a number, circle the digit you want to round to. Look at the digit to the right of the circled digit. 1,352 1,352 Step 2 Follow the rounding rule. If the digit to the right of the circled digit is less than 5, do not change the circled digit. If it is 5 or greater, increase the circled digit by 1. 1,352 1,352 3 < 5, so the 1 is not changed. Step 3 Change all of the digits to the right of the circled digit to zeros. 1,000 Solution: 1,352 rounded to the nearest thousand is 1,000. Round each number to the place of the underlined digit. 1. 32,567 2. 200,001 3. 79 4. 750 5. 6. 879 7. 902 8. 3,251 9. 287 10. 45,000 372,183 Writing Math Julia says you can’t round 1,500 to the nearest thousand, because 5 is exactly halfway between 0 and 10. What mistake is she making? Reteach 2–18 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_RET.indd 2–18 11/29/07 1:48:51 PM Name Chapter 2, Lesson 3 Practice Date Round Whole Numbers CA Standard NS 1.3 Use the number line to round each number to the nearest thousand. 6,000 1. 6,700 6,500 2. 6,287 7,000 3. 6,981 4. 6,492 8. 287,498 Round each number to the place of the underlined digit. 5. 54,873 6. 78,365 7. 195,035 Test Practice Circle the letter of the correct answer. 9. 10 The cash register at a restaurant showed $782.65 in sales for Friday. Round that amount to the nearest ten dollars. A $790.00 C $780.65 B $780.70 D $780.00 The owner of an olive grove rounds the number of olives he harvests to the nearest thousand. If he harvested 12,621 olives, what would be his rounded total? A 12,000 C 1,200 B 10,000 D 13,000 Writing Math Is it true that if two numbers both round to 1,000 as their nearest thousand, the greatest possible difference between them is 499? Practice 2–19 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_PRAC.indd 2–19 11/29/07 1:49:05 PM Name Chapter 2, Lesson 3 Enrichment Date Rounding the Same CA Standard NS 1.3, MR 2.3 Find the lowest possible place you can round each number to so that you get the same result for all three numbers in the list. Underline the place you rounded to in each number, and write the result below each list. 1. 3. 5. 87,688 2. 409,623 88,207 410,100 88,094 410,062 239,487 4. 6,269 239,990 6,274 240,001 6,266 7,980 6. 324,092 8,048 301,858 8,237 342,771 Writing Math Bea says she can always tell whether to round a number up or down without looking at the ones place. Is she right? Explain. Enrichment 2–20 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_ENR.indd 2–20 11/29/07 1:49:21 PM Chapter 2, Lesson 3 Name Date Leveled Problem Solving Round Whole Numbers CA Standard NS 1.3 Solve each problem. 1. The tallest mountain in California is Mt. Whitney. It is 14,491 feet tall. Round its height to the nearest thousand. 2. David went bird watching and saw 17 birds. How many did he see, rounded to the nearest ten? 3. A park ranger told David he has seen 2,361 birds so far this year. About how many birds has the ranger seen, rounded to the nearest thousand? 4. Look at Problem 3. How many birds has the park ranger seen this year, rounded to the nearest hundred? 5. David asked the park ranger how old she was. She said, “When you round my age to the nearest 10, it’s 30.” What is the youngest age the ranger can be? What is the oldest? 6. Look at Problem 1. What is the height of Mt. Whitney, rounded to the nearest hundred? The nearest ten thousand? Leveled Problem Solving 2–21 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_PS.indd 2–21 11/29/07 1:49:40 PM Name Chapter 2, Lesson 3 Homework Date Round Whole Numbers CA Standard NS 1.3 Round the number 185,934 to the nearest thousand. Find the place you want to round to. 185,936 thousands place The digit to its right is 5 or greater, so the digit in the rounded place increases. 185,934 rounds to 186,000. Round each number to the place of the underlined digit. 1. 29,942 2. 842,049 3. 382,349 4. 879,923 5. 61,319 6. 56,932 7. 589,428 8. 258,299 4QJSBM3FWJFX 9. (Chapter 2, Lesson 2) KEY NS 1.2, KEY NS 1.1 Write these numbers in order from greatest to least. 34,050 35,050 34,500 10. Write these numbers in order from least to greatest. 690,172,349 699,074,213 69,010,342 11. Joshua Tree National Park covers 789,866 acres. Yosemite National Park covers 761,266 acres. Which park is larger? Homework 2–22 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_HMWK.indd 2–22 11/29/07 1:49:57 PM Name Chapter 2, Lesson 4 Daily Routines Date More on Rounding Whole Numbers Problem of the Day KEY NS 1.3 The Sand Hill Elementary school collected 3,478 cans of food during a month long food drive. To the nearest thousand, about how many cans did they collect? Number Sense KEY NS 1.2 Write the numbers in order from greatest to least. 52,091 52,910 52,109 Number of the Day KEY NS 1.3 72,582 How can this number be changed so when rounded to the nearest thousand it would round to 72,000? Facts Practice G4 KEY NS 1.2 Compare. Write > or < for each 1. 708 4. 17,339 809 17,551 Daily Routines . 2. 5,271 5,638 5. 21,508 2–23 20,508 3. 1,873 6. 16,881 1,863 16,880 Use with Chapter 2, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–23 11/29/07 1:42:13 PM Name Chapter 2, Lesson 4 Reteach Date More on Rounding Whole Numbers CA Standard NS 1.3 Rounding numbers is the same no matter how large the numbers are. Round 3,924,510 to the nearest million. Step 1 Find the millions place and circle that digit. 3,924,510 3 ,924,510 Step 2 Look at the digit to the right of the 3. It is a 9, which is greater than 5. That means you should add 1 to the circled digit, so the 3 changes to a 4. 4 3,924,510 3 ,92 4 ,510 Step 3 All the digits to the right of the circled digit change to 0. That is always the last step in rounding a number. Solution: 3,924,510 rounded to the nearest million is 4,000,000. Round each number to the place of the underlined digit. 1. 2,360,894 2. 856,099,328 3. 31,055,550 4. 983,217,546 5. 12,490,923 6. 3,256,100 Writing Math Connie tried to round 3,124,322 to the nearest hundred thousand. Her answer was 100,000. What mistake did she make? Reteach 2–24 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_RET.indd 2–24 11/29/07 1:50:12 PM Name Chapter 2, Lesson 4 Practice Date More on Rounding Whole Numbers CA Standard NS 1.3 Round each number to the place of the underlined digit. 1. 1,384,792 2. 2,432,987 3. 200,988,083 4. 8,489,348 5. 902,784,893 6. 380,048,345 7. 39,571,660 8. 92,482,086 9. 75,099,600 Test Practice Circle the letter of the correct answer. 10. 11. The highest mountain in Death Valley National Park is 132,588 inches tall. About how tall is it, rounded to the nearest hundred? A 133,000 C 132,600 B 600 D 100,000 What is 9,546,004 rounded to the nearest million? A 10,000,000 C 9,000,000 B 900,000 D 600,000 Writing Math Thomas is rounding 98,453,087 to the nearest million. Does he need to look at the 0 in the hundreds place? Explain. Practice 2–25 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_PRAC.indd 2–25 11/29/07 1:50:27 PM Name Chapter 2, Lesson 4 Enrichment Date More Rounding the Same CA Standard NS 1.3 Fill in the missing digits so that each group of numbers rounds to the same number. Write the number they round to underneath the group, rounding to the lowest place value that works for all three numbers in the list. 1. 3. 5. 76_,987,098 2. 9,923,_47 7_3,904,565 9,9_4,021 _72,846,198 9,92_,599 _8,443,628 4. 20_,917,552 38,_21,956 201,183,3_9 38,4_9,831 2_1,400,213 6,527,_85 6. 88,34_,748 6,_27,485 88,3_2,092 6,527,4_6 88,34_,000 Writing Math 9,192,477 people visited Smoky Mountain National Park in 2005. Each person receives a guidebook when he or she enters the park. The guidebooks can be ordered only in packs of 1,000. When ordering guidebooks for 2006, the number of visitors from 2005 was rounded to the nearest thousand. Was this a good way to figure out how many to order or not? Explain. Enrichment 2–26 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_ENR.indd 2–26 11/29/07 1:50:42 PM Chapter 2, Lesson 4 Name Date Leveled Problem Solving More on Rounding Whole Numbers CA Standard NS 1.3 Solve each problem. 1. Point Reyes National Seashore has about 422,400 feet of coastline. How many feet is this, rounded to the nearest thousand? 2. One cubic inch of beach sand can have about 125,000 grains of sand in it. Round the number of grains to the nearest ten thousand. 3. The lighthouse at Point Reyes flashes once every five seconds, or 6,307,200 times in a year. About how many times does it flash in a year, rounded to the nearest hundred thousand? 4. The lighthouse ran for 105 years, which means it probably flashed about 662,256,000 times. Round that number to the nearest ten million. 5. There are 308 stairs in the lighthouse. The men who ran it had to go up about 9 times a day. They had to climb 2,772 steps a day and 1,011,780 steps a year. About how many steps did they go up in a year, rounded to the nearest hundred thousand? 6. One man worked in the lighthouse for 24 years. He probably went up 24,282,720 steps. In the 105 years the lighthouse ran, the workers went up 106,236,900 steps. How many steps did the workers take in all, rounded to the nearest hundred million? Leveled Problem Solving 2–27 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_PS.indd 2–27 11/29/07 1:50:56 PM Name Chapter 2, Lesson 4 Homework Date More on Rounding Whole Numbers CA Standard NS 1.3 Round the number 304,401,882 to the nearest million. Underline the digit you are rounding to. Circle the digit to the right of it. 304, 4 01,882 The circled digit is less than 5, so the underlined digit does not change. All the digits to the right of it change to 0. Solution: 304,401,882 rounds to 304,000,000. Round each number to the place of the underlined digit. 1. 3,475,289 2. 103,973,677 3. 70,980,753 4. 835,900,672 5. 22,299,409 6. 111,009,485 7. 48,007,878 8. 628,062,200 9. 52,873,001 4QJSBM3FWJFX (Chapter 1, Lessons 2 and 3) KEY NS 1.1, NS 1.0 10. Write the number 209,399 in word form. 11. Write the number sixty-four thousand, four hundred two in standard form. 12. Death Valley National Park covers 3,372,402 acres. What is the value of the 7 in that number? Homework 2–28 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_HMWK.indd 2–28 11/29/07 1:51:09 PM Name Chapter 2, Lesson 5 Daily Routines Date Problem Solving: Make an Organized List Problem of the Day KEY NS 1.3 A print shop receives two big projects in one day. The first project needs 43,875 copies. The second project needs 28,440 copies. Round the number of copies for each project to the nearest ten thousand. Number Sense KEY NS 1.2 Write the numbers in order from least to greatest. 17,998 19,998 17,398 Word of the Day KEY AF 1.2 digit What are the digits in the number 685? What is the value of the 6 in 685? What is the value of 8 in 685? What is the value of 5 in 685? Facts Practice KEY NS 1.3 Round to the underlined digit. 1. 14,763 2. 31,776 3. 153,872 4. 187,221 5. 190,781 6. 3,897,408 Daily Routines 2–29 Use with Chapter 2, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–29 1/31/08 10:27:56 AM Name Chapter 2, Lesson 5 Reteach Date Problem Solving: Make an Organized List CA Standard MR 2.3, NS 1.3 Read It Look for information. A newspaper headline said that over 900 cans of food were collected during a food drive. Tanglewood School collected 323 cans. Jackson School collected 438 cans. Park Street School collected 189 cans. Is the headline reasonable? Organize It Make a table of important information. 1. Complete the table with the information from the problem. School Name Number of Cans Tanglewood Jackson Park Street Solve It Use the table to solve the problem. 2. Find the estimated number of cans each school collected by rounding. Tanglewood: 323 3. Jackson: 439 Park Street: 189 Add to find out if your answer is reasonable. 300 + 400 + 200 = Reteach 2–30 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_RET.indd 2–30 11/29/07 1:51:23 PM Name Chapter 2, Lesson 5 Practice Date Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Problems 21–23 Complete the table and use the information to answer. The Hillsboro Elementary School had a bake sale to raise money for their class picnic. They sold 76 fruit roll-ups, 135 granola bars, 107 carrot muffins, and 85 slices of banana bread. The students earned $81.00 for the granola bars, $34.00 for the banana bread, $75.00 for the muffins, and $22.80 for the fruit roll-ups. Number Sold Number Sold Rounded to Nearest Tenth 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. Item Money Earned Rounded to Highest Place Money Earned 21. About how many items did the students sell? 22. Put the items in order according to the amounts the students earned from greatest to least. 23. About how much did the students earn at the bake sale? Practice 2–31 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_PRAC.indd 2–31 11/29/07 1:51:38 PM Name Chapter 2, Lesson 5 Enrichment Date Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Figure out how many ways there are to make 25¢. You can use pennies, nickels, dimes, and/or quarters. Make an organized list to show all thirteen possibilities. Pennies Nickels Dimes Quarters Writing Math Anna is holding three coins in her hand. None of the coins is greater than 10¢. She has challenged Thomas to figure out all the possible combinations. Tell him how to do it. Enrichment 2–32 Use with text pages 38–39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_ENR.indd 2–32 11/29/07 1:52:00 PM Chapter 2, Lesson 5 Name Date Leveled Problem Solving Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Make an organized list to help you solve each problem. Show your list. Tim’s family is on vacation. On Monday they drove 276 miles. On Tuesday they drove 342 miles. The next day they drove 412 miles. The last day they drove 237 miles. 1. What day of the week was the last day of Tim’s family’s vacation? 2. To the nearest ten, about how many miles did they drive on days that begin with T ? 3. Put the days of the week in order according to the number of miles driven each day from least to greatest. 4. Put the number of miles driven each day in order from greatest to least. 5. To the nearest ten, about how many more miles did the family drive on Tuesday and Wednesday than on Monday and Thursday? 6. How many more miles did the family drive on the last two days of their vacation than on the first two days? Leveled Problem Solving 2–33 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_PS.indd 2–33 12/2/07 8:01:12 AM Name Date Problem Solving: Make an Organized List Chapter 2, Lesson 5 Homework CA Standards MR 2.3, NS 1.3 Burlington Elementary School had a general assembly at 10 A.M. on Tuesday. The assembly was attended by 116 first graders, 98 second graders, 162 third graders, and 139 fourth graders. About how many students attended the assembly altogether? Step 1 Make a table of the important information in the problem. Grade Number of Students 1 2 3 4 116 98 162 139 Step 2 Number of Students Rounded to Highest Place 100 100 200 100 Round each number from the Number of Students column. Solution: 100 + 100 + 200 + 100 = 500 students Solve. 1. To the nearest tenth, about how many students attended the general assembly at Burlington Elementary? Complete the table to find the answer. Grade Number of Students Number of Students Rounded to Highest Place 1 2 3 4 4QJSBM3FWJFX (Chapter 1, Lessons 1 and 3) KEY NS 1.1 Write the number in standard form. 2. eight hundred ninety million, six hundred twenty-four thousand, one hundred six Homework 2–34 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_HMWK.indd 2–34 11/29/07 1:52:35 PM Name Chapter 2 Test Date Chapter 2 Test Circle the letter of the correct answer. 14,899 118 100 1 106 112 118 < A 18 B 81 C 118 D 128 118 14,800 14,850 14,900 14,950 15,000 124 130 3 ? 14,899 A = B < C > D ≠ 14,998? 385,120 1,247 375,000 380,000 385,000 390,000 395,000 400,000 1,000 1,060 1,120 1,180 1,240 1,300 2 1,247 > 4 ? 385,120 > A 375,120 A 2,247 B 385,120 B 1,347 C 395,120 C 1,247 D 400,120 D 1,147 Assessment Resources 4 ? 2–35 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–35 11/29/07 1:52:52 PM Name 5 The area of Yosemite National Park is 761,266 acres. The area of King’s Canyon National Park is 461,901 acres. Which inequality represents the relationship between the area of Yosemite and King’s Canyon National Parks? A 761,266 = 461,901 B 761,266 < 461,901 C 761,266 > 461,901 D 6 Chapter 2 Test Date 7 8 461,901 > 761,266 2,825,144 A = B > C < D ≥ Which of the numbers in the table has the greatest value? A 5,194,285 B 5,193,285 C 5,194,085 D 5,195,175 Which of the numbers in the table has the least value? A 5,194,285 B 5,193,285 C 5,194,085 D 5,195,175 2,835,098? 9 Use this table of numbers for questions 7 and 8. 5,194,285 What is 73,479 rounded to the nearest thousand? A 73,000 B 73,400 C 73,500 D 74,000 5,194,085 5,193,285 5,195,175 Assessment Resources 4 10 What is 23,892,999 rounded to the nearest hundred thousand? A 23,000,000 B 23,800,000 C 23,900,000 D 24,000,000 2–36 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–36 11/29/07 1:53:01 PM Name 11 12 13 Chapter 2 Test Date What is 23,892,999 rounded to the nearest thousand? A 23,900,000 B 23,893,000 C 23,890,000 D 23,000,000 What is 848,481 rounded to the underlined digit? A 850,000 B 849,000 C 848,000 D 840,000 14 15 In 1990, 8,860,300 people lived in Los Angeles County. What is this number rounded to the millions? A 8,000,000 B 8,800,000 C 8,900,000 D 9,000,000 In 2000, 9,578,468 people lived in Los Angeles County. What is this number rounded to the ten thousands? A 10,000,000 B 9,600,000 C 9,580,000 D 9,000,000 What is 4,844,444 rounded to the nearest million? A 4,000,000 B 4,800,000 In 2000, 12,403 people lived in a certain town. What is this number rounded to the millions? C 5,000,000 A 0 D 5,800,000 B 12,000 C 1,000,000 D 12,000,000 Assessment Resources 4 16 2–37 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–37 11/29/07 1:53:08 PM Name 17 18 Chapter 2 Test Date Flora wants to list all the ways in which she can line up one red, one green, and one blue ribbon. Which is an organized list of the ways can she line up her ribbons using the first letter for each word? A RGB, RBG, BRG, GRB, GBR B RGB, RBG, BRG, BGR, GRB, GBR C RGB, BRG, GRB, GBR, RBG, RBR D RGB, RBG, BRG, BGR, GBR 19 Heather is making a list of the numbers between 50 and 100 that are divisible by 7. Which of the following is the correct list? A 56, 63, 70, 77, 84, 91, 98 B 56, 63, 70, 84, 91, 98 C 56, 63, 70, 77, 84, 98 D 56, 63, 70, 77, 84, 89, 91, 98 Assessment Resources 4 20 Juan is going to make a triangle and a square out of construction paper. He has sheets of orange, blue, and purple paper to use. Which of the following lists all Juan’s options of colors and shapes using the first letter for each word? A OS + OT, OS + BT, OS + PT, BS + OT, OS +BT, PS + PT, PS + OT, PS + BT, PS + PT B OS + OT, OS + BT, OS + PT, BS + OT, BS +BT, BS + PT C OS + OT, BS + BT, PS + PT, BS + OT, BS +PT, PS + OT, PS + BT, OS + PT, OS + BT D OS + BT, OS + OT, PS + PT, BS + OT, OS +BT, BS + PT, PS + OT, PS + BT, PS + PT Otis wants to sell a video game for $2 and a tricycle for $15. He wants to list the possible amounts he might make if he sells either one, both, or neither. Which list shows the different possibilities? A $0, $2, $15, $17 B $0, $2, $4, $15, $17, $30 C $2, $15, $17, $30 D $2, $15, $17, $21 2–38 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–38 11/29/07 1:53:13 PM Name Date Chapter 2 Test Individual Student Record Form Chapter 2 Test Use the chapter test to identify your students’ mastery of the skills in the chapter. The item analysis below will help you recognize strengths and weaknesses. Record Correct Answer Student Response the student’s response in the column to the right of the correct answer. California State Standards 1. D 4NS1.2 2. D 4NS1.2 3. B 4NS1.2 4. A 4NS1.2 5. C 4NS1.2 6. C 4NS1.2 7. D 4NS1.2 8. B 4NS1.2 9. A 4NS1.3 10. C 4NS1.3 11. B 4NS1.3 12. A 4NS1.3 13. C 4NS1.3 14. D 4NS1.3 15. C 4NS1.3 16. A 4NS1.3 17. B 4MR2.3 18. A 4MR2.3 19. C 4MR2.3 20. A 4MR2.3 Order and compare whole numbers and decimals to two decimal places. Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. out of 20 2–39 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_C2_CT.indd 2–39 11/29/07 1:54:41 PM Teacher Name Date Chapter 2 Test Class Record Form Chapter 2 Test Use the chapter test to identify your students’ mastery of the California Mathematics Contents Standards in the chapter. Item The record below will allow you to group students for differentiated instruction. California Mathematics Contents Standards 1. 4NS1.2 2. 4NS1.2 3. 4NS1.2 4. 4NS1.2 5. 4NS1.2 6. 4NS1.2 7. 4NS1.2 8. 4NS1.2 9. 4NS1.2 10. 4NS1.2 11. 4NS1.2 12. 4NS1.2 13. 4NS1.2 14. 4NS1.2 15. 4NS1.2 16. 4NS1.2 17. 4MR2.3 18. 4MR2.3 19. 4MR2.3 20. 4MR2.3 Groups for differentiated instruction Order and compare whole numbers and decimals to two decimal places. Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. 2–40 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U1_C2_CRF_CT.indd 2–40 11/29/07 1:54:55 PM Name Unit 1 Test Date Unit 1 Test Circle the letter of the correct answer. 1 4 How many hundreds are in the number 2,500,000? Four 250 B Five B 2,500 C Six C 25,000 D Eight D 250,000 How many thousands are in the number 1,053,000? A B C D 1,053 10,530 105,300 What is the standard form of the number five hundred seventy-two thousand, one hundred thirty-two? A 231,275 B 725,132 C 572,132 D 321,654 1,053,000 6 3 A A 5 2 The number 35,976 contains how many digits? How many hundreds are in the number 1,030,000? A 1.3 B 103 C 1,030 D 10,300 Assessment Resources 4 What is the word form of the number 132,365? A one hundred thirty thousand, three hundred sixty-five B one thousand thirty-two, three sixty-five C one hundred thirty-two thousand, three hundred sixty-five D one hundred thousand, three hundred sixty-five 2–41 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–41 1/2/08 8:39:40 AM Name 7 8 What is the value of the underlined digit in the number 347,288? 10 Which digit has the greatest value in the number 386,276,592? A 7 A 3 B 700 C 8 C 7,000 B 7 D 70,000 D 9 What is the standard form of the number three hundred nineteen million, two hundred seventy-eight thousand, one hundred? 11 What is the number 329 written in expanded notation? A 329 A 327,810 B 300 + 29 B 319,278 C 300 + 20 + 9 C 319,278,000 D 320 + 9 D 319,278,100 12 9 Unit 1 Test Date Franco counted all of the pennies he has in his house. He has 749,021,749. What is the value of the underlined number? What is the standard form of the number 7,000,000 + 300,000 +5,000 + 300 + 10 + 1? A 7,305,311 B 7,351,311 A 4 C 7,353,511 B 4 thousand D 70,305,311 C 4 million D 4 ten millions Assessment Resources 4 2–42 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–42 2/6/08 6:49:25 PM Name 13 What is the missing number in + 5 = 3,475? 3,000 + 400 + A 7 B 70 C D 14 Unit 1 Test Date 15 Which number is greater: 6,200; 6,100; 5,800; or 5,900? 5,800 5,900 A 5,800 B 5,900 C 6,100 D 6,200 700 7,000 6,000 6,100 6,200 6,300 6,400 Which value on the number line is greater than 7? 16 0 1 2 3 4 5 6 7 8 Where does 754 fall on a number line with 745 and 753? A 5 A 754 comes before 745 and 753. B 6 B 754 comes after 745 and 753. C 7 C 754 comes after 745 but before 753. D 8 D 754 comes before 753 but after 745. 17 Assessment Resources 4 3,192,384 19,192,385? A = C < B > D ≠ 2–43 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–43 2/6/08 6:50:00 PM Name 18 What is the correct order of the following numbers from greatest to least? 20 1,586,291 1,568,921 1,569,831 19 Unit 1 Test Date A 1,569,831 1,586,291 1,568,921 B 1,586,291 1,569,831 1,568,921 C 1,586,291 1,568,921 1,569,831 D 1,568,921 1,586,291 1,569,831 21 What is 85,325 rounded to the nearest thousand? A 85,000 B 85,400 C 86,000 D 85,300 What is 68,753,123 rounded to the nearest hundred thousand? A 68,800,000 Which number has the lowest value? B 68,700,000 2,193 2,913 2,192 2,129 C 69,000,000 D 68,000,000 A 2,193 B 2,129 C 2,192 A 200,600,000 D 2,913 B 201,000,000 C 210,000,000 D 200,700,000 Assessment Resources 4 22 What is 200,682,466 rounded to the nearest million? 2–44 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–44 11/29/07 1:55:21 PM Name 23 24 Unit 1 Test Date What is 353,473 rounded to the underlined digit? 25 What is 7,458,482 rounded to the nearest hundred thousand? A 350,000 A 7,000,000 B 353,400 B 7,458,000 C 353,000 C 7,460,000 D 360,000 D 7,500,000 Round 44,568,396 to the nearest million. A 44,000,000 B 44,500,000 C 45,000,000 D 45,500,000 Assessment Resources 4 2–45 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–45 11/29/07 1:55:27 PM Name Date Unit 1 Test Individual Student Record Form Unit 1 Test Use the unit test to identify your students’ mastery of the skills in the unit. The item analysis below will help you recognize strengths and weaknesses. Correct Answer Student Response Record the student’s response in the column to the right of the correct answer. California State Standards 1. C 4NS1.1 Read and write whole numbers in the millions. 2. A 4NS1.1 3. D 4NS1.1 4. B 4NS1.1 5. C 4NS1.1 6. C 4NS1.1 7. C 4NS1.1 8. D 4NS1.1 9. D 4NS1.1 10. A 4NS1.1 11. C 4NS1.1 12. A 4NS1.1 13. B 4NS1.1 14. D 4NS1.2 Order and compare whole numbers and decimals to two decimal places. 15. D 4NS1.2 16. B 4NS1.2 17. C 4NS1.2 18. B 4NS1.2 19. B 4NS1.2 20. A 21. A 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. 4NS1.3 22. B 4NS1.3 23. A 4NS1.3 24. C 4NS1.3 25. D 4NS1.3 out of 25 Assessment Resources 4 2–47 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_UT_U1.indd 2–47 11/29/07 1:56:11 PM Teacher Name Date Unit 1 Test Class Record Form Unit 1 Test Use the unit test to identify your students’ mastery of the California Mathematics Contents Standards in the unit. Item 1. The record below will allow you to group students for differentiated instruction. California Mathematics Contents Standards Groups for differentiated instruction 4NS1.1 Read and write whole numbers in the millions. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 4NS1.2 Order and compare whole numbers and decimals to two decimal places. 16. 17. 18. 19. 20. 21. 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. 22. 23. 24. 25. Assessment Resources 4 2–48 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U1_CRF_UT.indd 2–48 11/29/07 1:56:30 PM Chapter Resources Grade 4, Chapter 2 Contents Resources for Chapter 2: Order and Round Numbers • Lesson Quizzes Lessons 2.1–2.5 Daily Routines Reteach Practice Enrichment Leveled Problem Solving Homework • Chapter 2 Test Individual and Class Record Sheets • Unit 1 Test Individual and Class Record Sheets B Copyright © by Houghton Mifflin Company. All rights reserved. Permission is hereby granted to teachers to reprint or photocopy classroom quantities of the pages or sheets in this work that carry the Houghton Mifflin copyright notice. These pages are designed to be reproduced by teachers for use in their classes with accompanying Houghton Mifflin material, provided each copy made shows the copyright notice. Such copies may not be sold, and further distribution is expressly prohibited. Except as authorized above, prior written permission must be obtained from Houghton Mifflin Company to reproduce or transmit this work or portions thereof in any form or by any electronic or mechanical means, including any information storage or retrieval system, unless expressly permitted by federal copyright law. Address inquiries to School Permissions, 222 Berkeley Street, Boston, MA 02116. Printed in the U.S.A. 2–1 Booklet 2 of 29 TTL_73744_U1_C02.indd 2–1 2/1/08 3:11:22 PM Name Date Chapter 2, Lesson 1 Lesson Quiz Lesson 1 Quiz Write the numbers in order from least to greatest. 1. 4,567 4,578 4,478 2. 17,888 3. 2,467 2,578 2,900 2,444 4. 1,111 1,110 1,120 1,115 17,889 4,677 17,890 17,880 Lesson Quiz Use with Chapter 2, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 2, Lesson 2 Lesson Quiz Lesson 2 Quiz Compare. Write > or < or = for each 1. 711,701 2. 99,001 3. 100,937,372 101,937,372 4. 234,561,903 234,561,904 5. 678,432,566 678,432,566 . 711,711 98,001 Lesson Quiz 2–2 Use with Chapter 2, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–2 11/29/07 1:41:05 PM Name Date Chapter 2, Lesson 3 Lesson Quiz Lesson 3 Quiz Round each number to the place of the underlined digit. 1. 123,__ 456 2. 9__ 7,856 3. 4__ 29 4. 8 __0,641 5. 7__ 66,766 Lesson Quiz Use with Chapter 2, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 2, Lesson 4 Lesson Quiz Lesson 4 Quiz Round each number to the nearest hundred thousand. 1. 1,234,567 2. 617,982 3. 42,006,000 4. 893,768,431 Lesson Quiz 2–3 Use with Chapter 2, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–3 11/29/07 1:41:11 PM Name Date Chapter 2, Lesson 5 Lesson Quiz Lesson 5 Quiz Make an organized list to solve each problem. 1. T-shirts come in red, white, and blue. The sizes are S, M, L, and XL. How many possible different T-shirts are there? 2. Four students’ names begin with the letters A, B, C, and D. If each student shakes hands with every other student, how many handshakes will there be? Lesson Quiz Use with Chapter 2, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. Lesson Quiz 2–4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C02_LessonQuiz.indd 2–4 11/29/07 1:41:16 PM Name Chapter 2, Lesson 1 Daily Routines Date Hands On: Compare and Order Whole Numbers Problem of the Day KEY NS 1.1 Marco incorrectly wrote the number 1,783,445 in expanded form. He wrote 1,000,000 + 700,000 + 80,000 + 30,000 + 400 + 40 + 5. What did Marco do wrong? Fix his work. Number Sense KEY NS 1.1 Use Workmat 2 to help write the numbers in word form. 1. 15,781,309 2. 7,829,419 Word of the Day KEY NS 1.2 whole numbers What does it mean if you eat a whole apple? List different ways to show a piece of a number. Facts Practice KEY NS 1.1 Write the number in the hundreds place for each number. 1. 5,700 2. 8,000 3. 42,000 4. 7,100 5. 3,500 6. 30,900 Daily Routines 2–5 Use with Chapter 2, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–5 1/31/08 10:27:26 AM Name Chapter 2, Lesson 1 Reteach Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Using a place value chart can help compare numbers. Compare 41,784 and 41,362. ten thousands thousands hundreds tens ones 4 4 1 1 8 6 7 3 4 2 Step 1 Start at the left. Step 2 Compare the ten thousands. 40,000 = 40,000 Step 3 Compare the thousands. 1,000 = 1,000 Step 4 Compare the hundreds. 700 > 300 Solution: 41,784 > 41,362 Compare. Write > or < for each > 639 4. 6,730 > 6,703 7. 14,788 > 14,781 10. 285,812 < 285,901 1. 689 . < 2,578 5. 2,089 < 2,980 8. 45,973 > 4,597 2. 2,529 11. 976,405 > 3,783 6. 52,808 > 52,088 9. 310,365 < 310,486 > 976,045 3. 3,983 Writing Math Jack is comparing two numbers. He thinks he should start from the right. Is he correct? Why or why not? Possible answer: No; he should start from the left because the greater place values are there. Reteach 2–6 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_RET.indd 2–6 2/21/08 9:27:28 AM Name Chapter 2, Lesson 1 Practice Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Use > or < to compare the numbers. Make a number line on a separate sheet of paper to help. > 4,315 4. 119,832 < 911,238 7. 9,889 > 8,998 1. 4,351 > 6,600 5. 745,271 > 75,271 8. 30,298 < 30,302 2. 60,060 < 96,870 6. 598,401 > 589,410 9. 14,501 > 13,799 3. 69,780 Test Practice Circle the letter of the correct answer. 10. A company tracked their quarterly sales. The company sold 7,348 units in March, 8,382 units in June, 6,943 units in September, and 9,348 units in December. During which month did the company sell the least? A March C June B September D December 11. There were 9,435 visitors to a park on Sunday, 4,688 on Monday, 9,643 on Wednesday, and 10,092 on Saturday. On which day did the most people visit? A Sunday C Wednesday B Monday D Saturday Writing Math When ordering numbers, is it safe to decide that the number with the most 9s in it is the greatest? Explain. Possible answer: No, because depending on the place value, 9 could be 90 or 9,000. 1,000 is greater than 999, because the 1 is in a higher place value than all the 9s. Practice 2–7 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_PRAC.indd 2–7 11/29/07 1:43:18 PM Name Date Changing Fives Chapter 2, Lesson 1 Enrichment CA Standard NS 1.2 Change one digit in each number to 5, to make the list below in order from least to greatest. You may choose any digit to change, but you can only change it to 5. Write the new number in the space provided. 12346 12345 12344 12354 11387 15387 14390 15390 15390 15395 15448 15548 15502 15552 13406 53406 43978 53978 54209 55209 Answers may vary. Writing Math Eben and Mary are making a number line from 100 to 200 on the chalkboard. Mary says, “I will write the numbers from 150 to 200.” Should Mary stand on the left or the right side of the chalkboard to write? Explain. Possible answer: She should stand on the right side, because she will be writing the greater numbers. Those belong on the right side of the number line. Enrichment 2–8 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_ENR.indd 2–8 11/29/07 1:43:34 PM Chapter 2, Lesson 1 Name Date Leveled Problem Solving Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Solve each problem. 1. The street where Jamie lives is 4,672 feet long, and the street where Eric lives is 8,193 feet long. Which street is shorter? 2. Level I Eric’s class sold more tickets. Jamie’s street is shorter. 3. Jamie’s class went to Telescope Peak in Death Valley National Park on Wednesday and there were 1,049 visitors. Eric’s class went on Friday, when there were 1,204 visitors. On which day did more people visit? 4. Friday 5. In 2005, there were 827,775 visitors to Death Valley National Park. In 2004, there were 793,730, and in 2003, there were 924,182. Write the numbers of visitors in order from greatest to Level II least. 924,182 827,775 793,730 The school bus drove up Telescope Peak to 8,133 feet above sea level. Then the students climbed further up on foot. Jamie climbed up to 8,689 feet. Eric climbed up to 8,722 feet. Who climbed higher? 6. Nina is in Eric’s class. She climbed up to 8,789 feet on Telescope Peak. Telescope Peak is 11,049 feet tall at its highest point. Write an expression using < or > to show the heights Nina, Jamie, and Eric climbed from least to greatest. Level III 8,689 < 8,722 < 8,789 Eric climbed higher. Leveled Problem Solving Jamie’s class sold 1,862 tickets for the school raffle and Eric’s class sold 2,139 tickets. Whose class sold more tickets? 2–9 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_PS.indd 2–9 11/29/07 1:43:54 PM Name Chapter 2, Lesson 1 Homework Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Compare 32,487 and 32,841. Use a number line. 32,487 32,000 32,841 32,500 33,000 32,841 is to the right of 32,487 on the number line. So, 32,841 > 32,487. Make a number line on a separate sheet of paper. Use > or < to compare the numbers. > 1,284 5. 6,352 > 6,325 8. 9,999 < 11,026 < 531 4. 82,828 < 88,222 7. 37,531 > 37,135 1. 351 4QJSBM3FWJFX 2. 2,184 < 7,439 6. 12,903 < 19,902 9. 15,932 < 15,942 3. 2,349 (Grade 3 Chapter 17, Lesson 4) KEY NS 1.1 > 0.13 10. Use > or < to compare the numbers.1.23 11. Write these numbers in order from least to greatest. 3.24 4.02 3.44 3.24 3.44 4.02 12. Jake has $34.82, Emily has $38.42, and Will has $34.28. Who has the most money? Who has the least? Emily has the most. Will has the least. Homework 2–10 Use with text pages 26–27. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L1_HMWK.indd 2–10 11/29/07 1:44:07 PM Name Chapter 2, Lesson 2 Daily Routines Date Compare and Order Whole Numbers Through Millions Problem of the Day KEY NS 1.1 Write 39,914 in expanded notation. Number Sense KEY NS 1.2 Use Workmat 4 to find which is greater: 2,471 or 2,476. Word of the Day KEY NS 1.1 period Name the digits in the thousands period of the number 1,454,683. Facts Practice Gr3 NS 2.3 Multiply or divide. 1. 28 ÷ 4 2. 4×6 4. 54 ÷ 9 5. 9×7 Daily Routines 3. 2–11 8×8 Use with Chapter 2, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–11 11/29/07 1:41:54 PM Name Chapter 2, Lesson 2 Reteach Date Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 When ordering larger numbers, there are more places to compare. Using a place value chart can help. Compare 9,583,802 and 9,591,664. Millions hundreds tens ones Thousands hundreds tens ones , , 9 9 5 5 8 9 Ones hundreds tens ones , , 3 1 8 6 0 6 2 4 Step 1 The Step 2 The Step 3 The ten millions are both 9. hundred thousands are both 5. thousands digits are 8 and 9. STOP and compare. 9>8 Solution: 9,591,664 > 9,583,802 Compare. Write > or < for each < 1. 73,476 3. 662,453,005 5. 6,027,304 . 73,746 > < 4. < 9,882,421 12,364,900 < 12,365,200 6. 620,201,588 2. 660,453,005 60,023,004 8,993,782 > 580,330,552 Write the numbers in order from least to greatest. 7. 91,234 56,789 9,876 8. 9,876 56,789 91,234 667,676,000 677,000,214 700,079,576 667,676,000 677,000, 214 700,079,576 Writing Math Does counting the digits in each number ever help you figure out which one is greater? Explain. Possible answer: Yes; if one number has more digits than the other, that number is greater. Reteach 2–12 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_RET.indd 2–12 11/29/07 1:47:36 PM Name Chapter 2, Lesson 2 Practice Date Compare and Order Whole Numbers Through Millions Compare. Write > or < for each 1. 718 < . 817 2. > 341,672 5. 323,332,223 < 323,332,233 7. 99,011,032 > 99,010,033 3. CA Standards NS 1.2 7,439 < 77,439 > 78,482,731 6. 73,773,737 > 73,737,737 8. 617,860,446 > 617,806,448 341,762 4. 78,487,231 Test Practice 9. Jerry took 10,233 steps in one day. Anne took more steps than Jerry. Which amount could be the number of steps Anne took? A B 10,134 C 9,999 D 10. 10,322 All of the following numbers are greater than 1,698,477 except which number? A 1,700,000 C 6,984,777 B 1,698,488 D 1,698,467 1,233 Writing Math Jessica is comparing the numbers 5,553,402 and 5,554,937. She thinks she can tell which one is greater by looking in the hundred thousands place. Is she correct? Explain. Possible answer: No; both numbers have 5 in that place. She should keep looking at the next smaller place until there is a difference between the numbers. These numbers are different in the thousands place. 4 > 3, so 5,554,937 is greater. Practice 2–13 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_PRAC.indd 2–13 11/29/07 1:47:52 PM Name Chapter 2, Lesson 2 Enrichment Date Making Numbers CA Standards NS 1.2 Use the numbers below to solve the problems. 1. 1,000,000 200,000 50,000 30 8 7,000,000 80,000 7 6,000 500 900,000 2,000 Make the greatest seven-digit number you can make from the list, by adding together seven of the numbers. None of the digits in the number should be 0. Show your work. 7,986,538 2. Now make the smallest possible seven-digit number you can make by adding together seven of the numbers. Again, none of the digits in the number you make should be 0. Show your work. 1,252,537 Writing Math When does counting the digits in each number help you figure out which number is greater? When does it not help? Sample answer: When one number has more digits than the other, it is always greater, so counting the digits can tell you the answer. When the numbers have the same amount of digits, either one could be larger, so it doesn’t help to count the digits. Enrichment 2–14 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_ENR.indd 2–14 11/29/07 1:48:07 PM Chapter 2, Lesson 2 Name Date Leveled Problem Solving Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 Solve each problem. 1. The Appalachian Trail is about 11,484,000 feet long. The Pacific Crest Trail is about 13,992,000 feet long. Which is longer? 2. The Pacific Crest Trail is longer. 3. The Continental Divide Trail is shorter. The North Country National Scenic Trail is about 24,288,000 feet long. Order the lengths of the North Country Trail, the Appalachian Trail, and the Pacific Crest trail from least to greatest. 4. 11,484,000 feet, 13,992,000 feet, 24,288,000 feet 5. Write the lengths of the North Country Trail, the American Discovery Trail, and the Pacific Crest Trail from greatest to least. Level II 35,904,000 feet, 24,288,000 feet, 13,992,000 feet Maxine and Sam biked for six hours a day for five days. When they stopped, Sam had gone 2,376,827 feet, and Maxine had gone 2,376,791 feet. Who went farther? 6. Sam went farther. Leveled Problem Solving The Continental Divide Trail is about 16,368,000 feet long. The American Discovery Trail is about 35,904,000 feet long. Which trail is shorter? Level I Dexter was riding with Maxine and Sam. He rode for four hours and went 2,376,970 feet, but he took an extra break to fix his bike after he had gone 1,150,000 feet. List the numbers of feet Sam, Maxine, and Dexter rode from least to greatest. Level III 2,376,791 feet, 2,376,827 feet, 2,376,970 feet 2–15 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_PS.indd 2–15 11/29/07 1:48:21 PM Name Chapter 2, Lesson 2 Homework Date Compare and Order Whole Numbers Through Millions CA Standards NS 1.2 Order 1,390,674 and 998,390 and 985,722 from least to greatest. Line up the digits and find the greatest place where they differ. 1,390,674 998,390 985,722 The only number with a digit in the millions place is 1,390,674. It is the greatest number. The first place where the other two numbers differ is the ten thousands place: 8 < 9, so 985,722 < 998,390. Solution: 985,722 < 998,390 < 1,390,674 Compare. Write > or < for each > 1. 298,942 3. 567,195,753 5. 3,748,573 > 54,564 4. 54,197,324 < 54,197,342 6. 17,334,768 > 14,903,352 289,942 2. < 576,195,753 > 3,747,326 4QJSBM3FWJFX 7. . 454,564 (Chapter 1, Lesson 4) KEY NS 1.1 Write 62,403,000 in expanded notation. 60,000,000 + 2,000,000 + 400,000 + 3,000 8. Write 20 + 90,000 + 400 + 4,000 + 5,000,000 + 6 in standard form. 5,094,426 9. The Marris family’s warehouse contains 10 apples, 7,000 bananas, 20,000 plums, 300 oranges, and 100,000 grapes. Write the total number of pieces of fruit in standard form. 127,310 Homework 2–16 Use with text pages 28–30. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L2_HMWK.indd 2–16 11/29/07 1:48:37 PM Name Chapter 2, Lesson 3 Daily Routines Date Round Whole Numbers Problem of the Day MR 2.3 John shows 45, 60, 75, and 80 on a number line. By how much should each tic mark on the number line increase? Number Sense KEY NS 1.1 Write the value of the underlined digit. 1. 449,206,007 2. 60,801,993 3. 47,689 Word of the Day KEY NS 1.1 expanded notation What does expanded notation mean? Facts Practice KEY NS 1.2 Order the numbers from least to greatest. 1. 33; 216; 106; 45 2. 1,015; 1,006; 1,218; 1,296 3. 4,399; 4,407; 4,302; 4,286 4. 5,600; 5,031; 5,301; 5,006 Daily Routines 2–17 Use with Chapter 2, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–17 11/29/07 1:42:04 PM Name Chapter 2, Lesson 3 Reteach Date Round Whole Numbers CA Standard NS 1.3 To round numbers, look at the place value to the right of the one you are rounding to. Round 1,352 to the nearest thousand. Step 1 When you round a number, circle the digit you want to round to. Look at the digit to the right of the circled digit. 1,352 1,352 Step 2 Follow the rounding rule. If the digit to the right of the circled digit is less than 5, do not change the circled digit. If it is 5 or greater, increase the circled digit by 1. 1,352 1,352 3 < 5, so the 1 is not changed. Step 3 Change all of the digits to the right of the circled digit to zeros. 1,000 Solution: 1,352 rounded to the nearest thousand is 1,000. Round each number to the place of the underlined digit. 1. 32,567 2. 33,000 6. 879 880 200,001 3. 200,000 7. 902 900 79 4. 80 8. 3,251 3,250 750 5. 800 9. 287 300 45,000 50,000 10. 372,183 370,000 Writing Math Julia says you can’t round 1,500 to the nearest thousand, because 5 is exactly halfway between 0 and 10. What mistake is she making? Possible answer: She is forgetting that all digits greater than or equal to 5 make a number round up. The nearest thousand to 1,500 is 2,000. Reteach 2–18 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_RET.indd 2–18 11/29/07 1:48:51 PM Name Chapter 2, Lesson 3 Practice Date Round Whole Numbers CA Standard NS 1.3 Use the number line to round each number to the nearest thousand. 6,000 1. 6,700 6,500 2. 6,287 7,000 3. 4. 7,000 6,000 7,000 6,981 6,492 6,000 Round each number to the place of the underlined digit. 5. 54,873 6. 54,900 78,365 7. 80,000 195,035 200,000 8. 287,498 300,000 Test Practice Circle the letter of the correct answer. 9. 10 The cash register at a restaurant showed $782.65 in sales for Friday. Round that amount to the nearest ten dollars. A $790.00 C $780.65 B $780.70 D $780.00 The owner of an olive grove rounds the number of olives he harvests to the nearest thousand. If he harvested 12,621 olives, what would be his rounded total? A 12,000 C 1,200 B 10,000 D 13,000 Writing Math Is it true that if two numbers both round to 1,000 as their nearest thousand, the greatest possible difference between them is 499? Possible answer: No; the greatest number that fits the description is 1,499 and the least is 500. The difference between them is 999. Practice 2–19 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_PRAC.indd 2–19 11/29/07 1:49:05 PM Name Chapter 2, Lesson 3 Enrichment Date Rounding the Same CA Standard NS 1.3, MR 2.3 Find the lowest possible place you can round each number to so that you get the same result for all three numbers in the list. Underline the place you rounded to in each number, and write the result below each list. 1. 3. 5. 87,688 2. 409,623 88,207 410,100 88,094 410,062 88,000 410,000 239,487 4. 6,269 239,990 6,274 240,001 6,266 240,000 6,270 7,980 6. 324,092 8,048 301,858 8,237 342,771 8,000 300,000 Writing Math Bea says she can always tell whether to round a number up or down without looking at the ones place. Is she right? Explain. Possible answer: No; it depends on which place she is rounding to. In order to round to the tens place, she must look at the ones place. Enrichment 2–20 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_ENR.indd 2–20 11/29/07 1:49:21 PM Chapter 2, Lesson 3 Name Date Leveled Problem Solving Round Whole Numbers CA Standard NS 1.3 Solve each problem. 1. The tallest mountain in California is Mt. Whitney. It is 14,491 feet tall. Round its height to the nearest thousand. 2. 14,000 feet 3. 20 birds A park ranger told David he has seen 2,361 birds so far this year. About how many birds has the ranger seen, rounded to the nearest thousand? 4. David asked the park ranger how old she was. She said, “When you round my age to the nearest 10, it’s 30.” What is the youngest age the ranger can be? What is the oldest? 6. 25; 34 Leveled Problem Solving Level I Look at Problem 3. How many birds has the park ranger seen this year, rounded to the nearest hundred? Level II 2,400 birds 2,000 birds 5. David went bird watching and saw 17 birds. How many did he see, rounded to the nearest ten? Look at Problem 1. What is the height of Mt. Whitney, rounded to the nearest hundred? The nearest ten thousand? Level III 14,500 feet; 10,000 feet 2–21 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_PS.indd 2–21 11/29/07 1:49:40 PM Name Chapter 2, Lesson 3 Homework Date Round Whole Numbers CA Standard NS 1.3 Round the number 185,934 to the nearest thousand. Find the place you want to round to. 185,936 thousands place The digit to its right is 5 or greater, so the digit in the rounded place increases. 185,934 rounds to 186,000. Round each number to the place of the underlined digit. 1. 29,942 2. 29,900 5. 61,319 60,000 4QJSBM3FWJFX 9. 842,049 3. 842,000 6. 56,932 382,349 4. 400,000 7. 57,000 589,428 879,923 880,000 8. 590,000 258,299 258,300 (Chapter 2, Lesson 2) KEY NS 1.2, KEY NS 1.1 Write these numbers in order from greatest to least. 34,050 35,050 34,500 35,050 34,500 34,050 10. Write these numbers in order from least to greatest. 690,172,349 699,074,213 69,010,342 69,010,342 690,172,349 699,074,213 11. Joshua Tree National Park covers 789,866 acres. Yosemite National Park covers 761,266 acres. Which park is larger? Joshua Tree National Park is larger. Homework 2–22 Use with text pages 32–33. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L3_HMWK.indd 2–22 11/29/07 1:49:57 PM Name Chapter 2, Lesson 4 Daily Routines Date More on Rounding Whole Numbers Problem of the Day KEY NS 1.3 The Sand Hill Elementary school collected 3,478 cans of food during a month long food drive. To the nearest thousand, about how many cans did they collect? Number Sense KEY NS 1.2 Write the numbers in order from greatest to least. 52,091 52,910 52,109 Number of the Day KEY NS 1.3 72,582 How can this number be changed so when rounded to the nearest thousand it would round to 72,000? Facts Practice G4 KEY NS 1.2 Compare. Write > or < for each 1. 708 4. 17,339 809 17,551 Daily Routines . 2. 5,271 5,638 5. 21,508 2–23 20,508 3. 1,873 6. 16,881 1,863 16,880 Use with Chapter 2, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–23 11/29/07 1:42:13 PM Name Chapter 2, Lesson 4 Reteach Date More on Rounding Whole Numbers CA Standard NS 1.3 Rounding numbers is the same no matter how large the numbers are. Round 3,924,510 to the nearest million. Step 1 Find the millions place and circle that digit. 3,924,510 3 ,924,510 Step 2 Look at the digit to the right of the 3. It is a 9, which is greater than 5. That means you should add 1 to the circled digit, so the 3 changes to a 4. 4 3,924,510 3 ,92 4 ,510 Step 3 All the digits to the right of the circled digit change to 0. That is always the last step in rounding a number. Solution: 3,924,510 rounded to the nearest million is 4,000,000. Round each number to the place of the underlined digit. 1. 2,360,894 2. 2,000,000 4. 983,217,546 980,000,000 856,099,328 3. 900,000,000 5. 12,490,923 12,500,000 31,055,550 31,100,000 6. 3,256,100 3,000,000 Writing Math Connie tried to round 3,124,322 to the nearest hundred thousand. Her answer was 100,000. What mistake did she make? Possible answer: She forgot to write the digit to the left of the rounded place value. The correct answer is 3,100,000. Reteach 2–24 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_RET.indd 2–24 11/29/07 1:50:12 PM Name Chapter 2, Lesson 4 Practice Date More on Rounding Whole Numbers CA Standard NS 1.3 Round each number to the place of the underlined digit. 1. 1,384,792 2. 8,489,348 5. 8,000,000 7. 39,571,660 39,570,000 3. 2,430,000 1,385,000 4. 2,432,987 902,784,893 201,000,000 6. 92,482,086 9. 90,000,000 380,048,345 400,000,000 902,800,000 8. 200,988,083 75,099,600 75,000,000 Test Practice Circle the letter of the correct answer. 10. 11. The highest mountain in Death Valley National Park is 132,588 inches tall. About how tall is it, rounded to the nearest hundred? A 133,000 C 132,600 B 600 D 100,000 What is 9,546,004 rounded to the nearest million? A 10,000,000 C 9,000,000 B 900,000 D 600,000 Writing Math Thomas is rounding 98,453,087 to the nearest million. Does he need to look at the 0 in the hundreds place? Explain. Possible answer: No; he only needs to look at the digit to the right of the millions place, which is 4, to determine that he should round down to 98,000,000. Practice 2–25 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_PRAC.indd 2–25 11/29/07 1:50:27 PM Name Chapter 2, Lesson 4 Enrichment Date More Rounding the Same CA Standard NS 1.3 Fill in the missing digits so that each group of numbers rounds to the same number. Write the number they round to underneath the group, rounding to the lowest place value that works for all three numbers in the list. 1. 76_,987,098 5, 6, 7, 8, or 9 7_3,904,565 7 _72,846,198 7 770,000,000 2. 9,923,_47 5. 4 5 6,_27,485 6,527,4_6 8 6,527,490 6. 88,34_,748 5, 6, 7, 8, or 9 9,9_4,021 2 9,92_,599 3 9,924,000 3 4. 20_,917,552 0 3. _8,443,628 38,_21,956 4 201,183,3_9 any digit 38,4_9,831 0, 1, 2, 3, or 4 2_1,400,213 0 201,000,000 38,400,000 6,527,_85 1 88,3_2,092 4 88,34_,000 2 88,342,000 Writing Math 9,192,477 people visited Smoky Mountain National Park in 2005. Each person receives a guidebook when he or she enters the park. The guidebooks can be ordered only in packs of 1,000. When ordering guidebooks for 2006, the number of visitors from 2005 was rounded to the nearest thousand. Was this a good way to figure out how many to order or not? Explain. Possible answer: No; because that was not enough guidebooks if the same number or more visitors came as in 2005. Enrichment 2–26 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_ENR.indd 2–26 11/29/07 1:50:42 PM Chapter 2, Lesson 4 Name Date Leveled Problem Solving More on Rounding Whole Numbers CA Standard NS 1.3 Solve each problem. 1. Point Reyes National Seashore has about 422,400 feet of coastline. How many feet is this, rounded to the nearest thousand? 2. 422,000 feet 3. 130,000 grains The lighthouse at Point Reyes flashes once every five seconds, or 6,307,200 times in a year. About how many times does it flash in a year, rounded to the nearest hundred thousand? 4. 6,300,000 times 5. The lighthouse ran for 105 years, which means it probably flashed about 662,256,000 times. Round that number to the nearest ten million. Level II 660,000,000 There are 308 stairs in the lighthouse. The men who ran it had to go up about 9 times a day. They had to climb 2,772 steps a day and 1,011,780 steps a year. About how many steps did they go up in a year, rounded to the nearest hundred thousand? 6. One man worked in the lighthouse for 24 years. He probably went up 24,282,720 steps. In the 105 years the lighthouse ran, the workers went up 106,236,900 steps. How many steps did the workers take in all, rounded to the nearest hundred million? Level III 100,000,000 steps 1,000,000 steps Leveled Problem Solving One cubic inch of beach sand can have about 125,000 grains of sand in it. Round the number of grains to the nearest ten thousand. Level I 2–27 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_PS.indd 2–27 11/29/07 1:50:56 PM Name Chapter 2, Lesson 4 Homework Date More on Rounding Whole Numbers CA Standard NS 1.3 Round the number 304,401,882 to the nearest million. Underline the digit you are rounding to. Circle the digit to the right of it. 304, 4 01,882 The circled digit is less than 5, so the underlined digit does not change. All the digits to the right of it change to 0. Solution: 304,401,882 rounds to 304,000,000. Round each number to the place of the underlined digit. 1. 3,475,289 2. 835,900,672 5. 836,000,000 7. 48,007,878 10. 22,299,409 628,062,200 630,000,000 70,980,753 71,000,000 6. 22,300,000 8. 50,000,000 4QJSBM3FWJFX 3. 104,000,000 3,000,000 4. 103,973,677 111,009,485 111,009,000 9. 52,873,001 53,000,000 (Chapter 1, Lessons 2 and 3) KEY NS 1.1, NS 1.0 Write the number 209,399 in word form. two hundred nine thousand, three hundred ninety-nine 11. Write the number sixty-four thousand, four hundred two in standard form. 64,402 12. Death Valley National Park covers 3,372,402 acres. What is the value of the 7 in that number? 70,000 Homework 2–28 Use with text pages 34–36. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L4_HMWK.indd 2–28 11/29/07 1:51:09 PM Name Chapter 2, Lesson 5 Daily Routines Date Problem Solving: Make an Organized List Problem of the Day KEY NS 1.3 A print shop receives two big projects in one day. The first project needs 43,875 copies. The second project needs 28,440 copies. Round the number of copies for each project to the nearest ten thousand. Number Sense KEY NS 1.2 Write the numbers in order from least to greatest. 17,998 19,998 17,398 Word of the Day KEY AF 1.2 digit What are the digits in the number 685? What is the value of the 6 in 685? What is the value of 8 in 685? What is the value of 5 in 685? Facts Practice KEY NS 1.3 Round to the underlined digit. 1. 14,763 2. 31,776 3. 153,872 4. 187,221 5. 190,781 6. 3,897,408 Daily Routines 2–29 Use with Chapter 2, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. C02_G4_CAMath_Daily Rout_T.indd 2–29 1/31/08 10:27:56 AM Name Chapter 2, Lesson 5 Reteach Date Problem Solving: Make an Organized List CA Standard MR 2.3, NS 1.3 Read It Look for information. A newspaper headline said that over 900 cans of food were collected during a food drive. Tanglewood School collected 323 cans. Jackson School collected 438 cans. Park Street School collected 189 cans. Is the headline reasonable? Organize It Make a table of important information. 1. Complete the table with the information from the problem. School Name Number of Cans Tanglewood 323 Jackson 438 Park Street 189 Solve It Use the table to solve the problem. 2. Find the estimated number of cans each school collected by rounding. Tanglewood: 323 Jackson: 439 300 3. 400 Park Street: 189 200 Add to find out if your answer is reasonable. 300 + 400 + 200 = 900 Reteach 2–30 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_RET.indd 2–30 11/29/07 1:51:23 PM Name Chapter 2, Lesson 5 Practice Date Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Problems 21–23 Complete the table and use the information to answer. The Hillsboro Elementary School had a bake sale to raise money for their class picnic. They sold 76 fruit roll-ups, 135 granola bars, 107 carrot muffins, and 85 slices of banana bread. The students earned $81.00 for the granola bars, $34.00 for the banana bread, $75.00 for the muffins, and $22.80 for the fruit roll-ups. Item 1. fruit roll-ups 6. granola bars 11. muffins 16. 21. banana bread Number Sold Number Sold Rounded to Nearest Tenth Money Earned Rounded to Highest Place 2. 76 3. 80 4. $22.80 5. $20.00 7. 135 8. 140 9. $81.00 10. $80.00 12. 107 13. 110 14. $75.00 15. $80.00 17. 85 18. 90 19. $34.00 20. $30.00 Money Earned About how many items did the students sell? 420 items 22. Put the items in order according to the amounts the students earned from greatest to least. Possible answer: granola bars, muffins, banana bread, fruit roll-ups 23. About how much did the students earn at the bake sale? $210.00 Practice 2–31 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_PRAC.indd 2–31 11/29/07 1:51:38 PM Name Chapter 2, Lesson 5 Enrichment Date Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Figure out how many ways there are to make 25¢. You can use pennies, nickels, dimes, and/or quarters. Make an organized list to show all thirteen possibilities. Pennies Nickels Dimes Quarters 0 0 0 0 5 15 5 10 15 20 25 5 10 0 1 3 5 0 0 2 1 2 1 0 4 3 0 2 1 0 2 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 Writing Math Anna is holding three coins in her hand. None of the coins is greater than 10¢. She has challenged Thomas to figure out all the possible combinations. Tell him how to do it. Answers will vary. Enrichment 2–32 Use with text pages 38–39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_ENR.indd 2–32 11/29/07 1:52:00 PM Chapter 2, Lesson 5 Name Date Leveled Problem Solving Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Make an organized list to help you solve each problem. Show your list. Tim’s family is on vacation. On Monday they drove 276 miles. On Tuesday they drove 342 miles. The next day they drove 412 miles. The last day they drove 237 miles. 1. What day of the week was the last day of Tim’s family’s vacation? 2. Thursday 3. 580 miles Put the days of the week in order according to the number of miles driven each day from least to greatest. 4. Thursday, Monday, Tuesday, Wednesday 5. To the nearest ten, about how many more miles did the family drive on Tuesday and Wednesday than on Monday and Thursday? To the nearest ten, about how many miles did they drive on days that begin with T ? Level I Put the number of miles driven each day in order from greatest to least. Level II 412, 342, 276, 237 6. How many more miles did the family drive on the last two days of their vacation than on the first two days? Level III 31 miles 230 miles Possible organized list Day of the Miles Miles Driven Rounded Week Driven to Nearest Ten Monday 276 280 Tuesday 342 340 Wednesday 412 410 Thursday 237 240 Leveled Problem Solving 2–33 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_PS.indd 2–33 12/2/07 8:01:12 AM Name Chapter 2, Lesson 5 Homework Date Problem Solving: Make an Organized List CA Standards MR 2.3, NS 1.3 Burlington Elementary School had a general assembly at 10 A.M. on Tuesday. The assembly was attended by 116 first graders, 98 second graders, 162 third graders, and 139 fourth graders. About how many students attended the assembly altogether? Step 1 Make a table of the important information in the problem. Grade Number of Students 1 2 3 4 116 98 162 139 Step 2 Number of Students Rounded to Highest Place 100 100 200 100 Round each number from the Number of Students column. Solution: 100 + 100 + 200 + 100 = 500 students Solve. 1. To the nearest tenth, about how many students attended the general assembly at Burlington Elementary? Complete the table to find the answer. about 520 students Grade Number of Students 1 2 3 4 4QJSBM3FWJFX Number of Students Rounded to Highest Place 116 98 162 139 120 100 160 140 (Chapter 1, Lessons 1 and 3) KEY NS 1.1 Write the number in standard form. 2. eight hundred ninety million, six hundred twenty-four thousand, one hundred six 890,624,106 Homework 2–34 Use with text pages 38-39. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C2L5_HMWK.indd 2–34 11/29/07 1:52:35 PM Name Chapter 2 Test Date Chapter 2 Test Circle the letter of the correct answer. 14,899 4NS1.2 118 100 1 106 112 118 < A 18 B 81 C 118 D 128 118 4NS1.2 14,800 14,850 14,900 14,950 15,000 124 130 3 ? 14,899 A = B < C > D ≠ 14,998? 4NS1.2 4NS1.2 385,120 1,247 375,000 380,000 385,000 390,000 395,000 400,000 1,000 1,060 1,120 1,180 1,240 1,300 2 1,247 > 4 ? 385,120 > A 375,120 A 2,247 B 385,120 B 1,347 C 395,120 C 1,247 D 400,120 D 1,147 Assessment Resources 4 ? 2–35 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–35 11/29/07 1:52:52 PM Name Chapter 2 Test Date 4NS1.2 5 The area of Yosemite National Park is 761,266 acres. The area of King’s Canyon National Park is 461,901 acres. Which inequality represents the relationship between the area of Yosemite and King’s Canyon National Parks? A 761,266 = 461,901 B 761,266 < 461,901 C 761,266 > 461,901 D 4NS1.2 7 8 461,901 > 761,266 2,825,144 A = B > C < D ≥ A 5,194,285 B 5,193,285 C 5,194,085 D 5,195,175 4NS1.2 4NS1.2 6 Which of the numbers in the table has the greatest value? Which of the numbers in the table has the least value? A 5,194,285 B 5,193,285 C 5,194,085 D 5,195,175 2,835,098? 4NS1.3 9 Use this table of numbers for questions 7 and 8. 5,194,285 What is 73,479 rounded to the nearest thousand? A 73,000 B 73,400 C 73,500 D 74,000 5,194,085 4NS1.3 5,193,285 5,195,175 Assessment Resources 4 10 What is 23,892,999 rounded to the nearest hundred thousand? A 23,000,000 B 23,800,000 C 23,900,000 D 24,000,000 2–36 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–36 11/29/07 1:53:01 PM Name 4NS1.3 4NS1.3 11 Chapter 2 Test Date What is 23,892,999 rounded to the nearest thousand? A 23,900,000 B 23,893,000 C 23,890,000 D 23,000,000 14 In 1990, 8,860,300 people lived in Los Angeles County. What is this number rounded to the millions? A 8,000,000 B 8,800,000 C 8,900,000 D 9,000,000 4NS1.3 12 What is 848,481 rounded to the underlined digit? A 850,000 B 849,000 C 848,000 D 840,000 4NS1.3 15 4NS1.3 13 In 2000, 9,578,468 people lived in Los Angeles County. What is this number rounded to the ten thousands? A 10,000,000 B 9,600,000 C 9,580,000 D 9,000,000 What is 4,844,444 rounded to the nearest million? 4NS1.3 A 4,000,000 B 4,800,000 In 2000, 12,403 people lived in a certain town. What is this number rounded to the millions? C 5,000,000 A 0 D 5,800,000 B 12,000 C 1,000,000 D 12,000,000 Assessment Resources 4 16 2–37 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–37 11/29/07 1:53:08 PM Name Chapter 2 Test Date 4MR 2.3 17 Flora wants to list all the ways in which she can line up one red, one green, and one blue ribbon. Which is an organized list of the ways can she line up her ribbons using the first letter for each word? A RGB, RBG, BRG, GRB, GBR B RGB, RBG, BRG, BGR, GRB, GBR C RGB, BRG, GRB, GBR, RBG, RBR D RGB, RBG, BRG, BGR, GBR 4MR 2.3 19 4MR 2.3 18 Heather is making a list of the numbers between 50 and 100 that are divisible by 7. Which of the following is the correct list? A 56, 63, 70, 77, 84, 91, 98 B 56, 63, 70, 84, 91, 98 C 56, 63, 70, 77, 84, 98 D 56, 63, 70, 77, 84, 89, 91, 98 Assessment Resources 4 Juan is going to make a triangle and a square out of construction paper. He has sheets of orange, blue, and purple paper to use. Which of the following lists all Juan’s options of colors and shapes using the first letter for each word? A OS + OT, OS + BT, OS + PT, BS + OT, OS +BT, PS + PT, PS + OT, PS + BT, PS + PT B OS + OT, OS + BT, OS + PT, BS + OT, BS +BT, BS + PT C OS + OT, BS + BT, PS + PT, BS + OT, BS +PT, PS + OT, PS + BT, OS + PT, OS + BT D OS + BT, OS + OT, PS + PT, BS + OT, OS +BT, BS + PT, PS + OT, PS + BT, PS + PT 4MR 2.3 20 Otis wants to sell a video game for $2 and a tricycle for $15. He wants to list the possible amounts he might make if he sells either one, both, or neither. Which list shows the different possibilities? A $0, $2, $15, $17 B $0, $2, $4, $15, $17, $30 C $2, $15, $17, $30 D $2, $15, $17, $21 2–38 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C2_U1_CT.indd 2–38 11/29/07 1:53:13 PM Name Date Chapter 2 Test Individual Student Record Form Chapter 2 Test Use the chapter test to identify your students’ mastery of the skills in the chapter. The item analysis below will help you recognize strengths and weaknesses. Record Correct Answer Student Response the student’s response in the column to the right of the correct answer. California State Standards 1. D 4NS1.2 2. D 4NS1.2 3. B 4NS1.2 4. A 4NS1.2 5. C 4NS1.2 6. C 4NS1.2 7. D 4NS1.2 8. B 4NS1.2 9. A 4NS1.3 10. C 4NS1.3 11. B 4NS1.3 12. A 4NS1.3 13. C 4NS1.3 14. D 4NS1.3 15. C 4NS1.3 16. A 4NS1.3 17. B 4MR2.3 18. A 4MR2.3 19. C 4MR2.3 20. A 4MR2.3 Order and compare whole numbers and decimals to two decimal places. Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. out of 20 2–39 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_C2_CT.indd 2–39 11/29/07 1:54:41 PM Teacher Name Date Chapter 2 Test Class Record Form Chapter 2 Test Use the chapter test to identify your students’ mastery of the California Mathematics Contents Standards in the chapter. Item The record below will allow you to group students for differentiated instruction. California Mathematics Contents Standards 1. 4NS1.2 2. 4NS1.2 3. 4NS1.2 4. 4NS1.2 5. 4NS1.2 6. 4NS1.2 7. 4NS1.2 8. 4NS1.2 9. 4NS1.2 10. 4NS1.2 11. 4NS1.2 12. 4NS1.2 13. 4NS1.2 14. 4NS1.2 15. 4NS1.2 16. 4NS1.2 17. 4MR2.3 18. 4MR2.3 19. 4MR2.3 20. 4MR2.3 Groups for differentiated instruction Order and compare whole numbers and decimals to two decimal places. Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. 2–40 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U1_C2_CRF_CT.indd 2–40 11/29/07 1:54:55 PM Name Unit 1 Test Date Unit 1 Test 4NS1.1 Circle the letter of the correct answer. 4 4NS1.1 1 How many hundreds are in the number 2,500,000? Four 250 B Five B 2,500 C Six C 25,000 D Eight D 250,000 4NS1.1 5 How many thousands are in the number 1,053,000? A B C D 1,053 10,530 105,300 What is the standard form of the number five hundred seventy-two thousand, one hundred thirty-two? A 231,275 B 725,132 C 572,132 D 321,654 1,053,000 4NS1.1 3 A A 4NS1.1 2 The number 35,976 contains how many digits? 4NS1.1 6 How many hundreds are in the number 1,030,000? A 1.3 B 103 C 1,030 D 10,300 Assessment Resources 4 What is the word form of the number 132,365? A one hundred thirty thousand, three hundred sixty-five B one thousand thirty-two, three sixty-five C one hundred thirty-two thousand, three hundred sixty-five D one hundred thousand, three hundred sixty-five 2–41 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–41 1/2/08 8:39:40 AM Name Unit 1 Test Date 4NS1.1 7 What is the value of the underlined digit in the number 347,288? 4NS1.1 10 Which digit has the greatest value in the number 386,276,592? A 7 A 3 B 700 C 8 C 7,000 B 7 D 70,000 D 9 4NS1.1 8 What is the standard form of the number three hundred nineteen million, two hundred seventy-eight thousand, one hundred? 11 What is the number 329 written in expanded notation? A 329 A 327,810 B 300 + 29 B 319,278 C 300 + 20 + 9 C 319,278,000 D 320 + 9 D 319,278,100 4NS1.1 4NS1.1 9 4NS1.1 12 Franco counted all of the pennies he has in his house. He has 749,021,749. What is the value of the underlined number? What is the standard form of the number 7,000,000 + 300,000 +5,000 + 300 + 10 + 1? A 7,305,311 B 7,351,311 A 4 C 7,353,511 B 4 thousand D 70,305,311 C 4 million D 4 ten millions Assessment Resources 4 2–42 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–42 2/6/08 6:49:25 PM Name Unit 1 Test Date 4NS1.1 13 What is the missing number in + 5 = 3,475? 3,000 + 400 + A 7 B 70 C D 4NS1.2 15 5,800 5,900 A 5,800 B 5,900 C 6,100 D 6,200 700 7,000 4NS1.2 14 Which number is greater: 6,200; 6,100; 5,800; or 5,900? 6,000 6,100 6,200 Which value on the number line is greater than 7? 1 2 3 4 5 6 7 6,400 4NS1.2 16 0 6,300 8 Where does 754 fall on a number line with 745 and 753? A 5 A 754 comes before 745 and 753. B 6 B 754 comes after 745 and 753. C 7 C 754 comes after 745 but before 753. D 8 D 754 comes before 753 but after 745. 4NS1.2 17 Assessment Resources 4 3,192,384 19,192,385? A = C < B > D ≠ 2–43 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–43 2/6/08 6:50:00 PM Name Unit 1 Test Date 4NS1.2 18 What is the correct order of the following numbers from greatest to least? 4NS1.3 20 1,586,291 1,568,921 1,569,831 A 1,569,831 1,586,291 1,568,921 B 1,586,291 1,569,831 1,568,921 C 1,586,291 1,568,921 1,569,831 D 1,568,921 1,586,291 1,569,831 A 85,000 B 85,400 C 86,000 D 85,300 4NS1.3 21 What is 68,753,123 rounded to the nearest hundred thousand? A 68,800,000 Which number has the lowest value? B 68,700,000 2,193 2,913 2,192 2,129 C 69,000,000 D 68,000,000 4NS1.2 19 What is 85,325 rounded to the nearest thousand? 4NS1.3 A 2,193 B 2,129 C 2,192 A 200,600,000 D 2,913 B 201,000,000 C 210,000,000 D 200,700,000 Assessment Resources 4 22 What is 200,682,466 rounded to the nearest million? 2–44 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–44 11/29/07 1:55:21 PM Name Unit 1 Test Date 4NS1.3 23 What is 353,473 rounded to the underlined digit? 4NS1.3 25 What is 7,458,482 rounded to the nearest hundred thousand? A 350,000 A 7,000,000 B 353,400 B 7,458,000 C 353,000 C 7,460,000 D 360,000 D 7,500,000 4NS1.3 24 Round 44,568,396 to the nearest million. A 44,000,000 B 44,500,000 C 45,000,000 D 45,500,000 Assessment Resources 4 2–45 Copyright © Houghton Mifflin Company. All rights reserved. 73784_UT_U1.indd 2–45 11/29/07 1:55:27 PM Name Date Unit 1 Test Individual Student Record Form Unit 1 Test Use the unit test to identify your students’ mastery of the skills in the unit. The item analysis below will help you recognize strengths and weaknesses. Correct Answer Student Response Record the student’s response in the column to the right of the correct answer. California State Standards 1. C 4NS1.1 Read and write whole numbers in the millions. 2. A 4NS1.1 3. D 4NS1.1 4. B 4NS1.1 5. C 4NS1.1 6. C 4NS1.1 7. C 4NS1.1 8. D 4NS1.1 9. D 4NS1.1 10. A 4NS1.1 11. C 4NS1.1 12. A 4NS1.1 13. B 4NS1.1 14. D 4NS1.2 Order and compare whole numbers and decimals to two decimal places. 15. D 4NS1.2 16. B 4NS1.2 17. C 4NS1.2 18. B 4NS1.2 19. B 4NS1.2 20. A 21. A 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. 4NS1.3 22. B 4NS1.3 23. A 4NS1.3 24. C 4NS1.3 25. D 4NS1.3 out of 25 Assessment Resources 4 2–47 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_UT_U1.indd 2–47 11/29/07 1:56:11 PM Teacher Name Date Unit 1 Test Class Record Form Unit 1 Test Use the unit test to identify your students’ mastery of the California Mathematics Contents Standards in the unit. Item 1. The record below will allow you to group students for differentiated instruction. California Mathematics Contents Standards Groups for differentiated instruction 4NS1.1 Read and write whole numbers in the millions. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 4NS1.2 Order and compare whole numbers and decimals to two decimal places. 16. 17. 18. 19. 20. 21. 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. 22. 23. 24. 25. Assessment Resources 4 2–48 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U1_CRF_UT.indd 2–48 11/29/07 1:56:30 PM
© Copyright 2024 Paperzz