Chapter Resources Grade 4, Chapter 4 Contents Resources for Chapter 4: Subtraction • Lesson Quizzes Lessons 4.1–4.5 Daily Routines Reteach Practice Enrichment Leveled Problem Solving Homework • Chapter 4 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. Booklet 4 of 29 TTL_73744_U2_C04.indd 4–1 4–1 2/1/08 3:13:27 PM Name Date Chapter 4, Lesson 1 Lesson Quiz Lesson 1 Quiz Use play money to subtract. 1. $2,000 - $289 2. $2,000 - $430 3. $2,000 - $76 4. $2,000 - $825 Lesson Quiz Use with Chapter 4, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 4, Lesson 2 Lesson Quiz Lesson 2 Quiz Round each number to the nearest hundred. Then estimate the difference. 1. 5,864 - 4,216 2. 47,280 - 18,632 3. 6,941 - 3,662 4. 89,043 - 75,508 Lesson Quiz 4–2 Use with Chapter 4, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–2 11/30/07 1:35:08 AM Name Date Chapter 4, Lesson 3 Lesson Quiz Lesson 3 Quiz Subtract. Use addition to check your answer. 1. 419 - 351 2. 3,544 - 2,163 3. 824 - 682 4. 7,449 - 3,965 Lesson Quiz Use with Chapter 4, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 4, Lesson 4 Lesson Quiz 4–3 Use with Chapter 4, Lesson 4 Lesson 4 Quiz Subtract. 1. 403 - 360 2. 301 - 83 3. 802 - 601 4. 7,049 - 2,906 Lesson Quiz Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–3 11/30/07 1:35:36 AM Name Date Chapter 4, Lesson 5 Lesson Quiz Lesson 5 Quiz Gil ran 8 miles on Friday and 12 miles each day on Saturday and Sunday. 1. How many miles in all did Gil run on the weekend? 2. Gil ran farther on Monday than on Sunday. How far did he run on the 4 days from Friday through Monday? Lesson Quiz Use with Chapter 4, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. Lesson Quiz 4–4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–4 11/30/07 1:36:00 AM Name Chapter 4, Lesson 1 Daily Routines Date Hands On: Model Subtraction from 2,000 Problem of the Day MR 2.3 The table below shows the number of visitors to a zoo over one week. Day Number of Visitors Weekdays 5,182 Saturday 3,891 Sunday 3,036 Looking at the table, how would you find about how many people attended the zoo in one week? Number Sense KEY NS 1.2 On your whiteboard, write three different numbers which are less than nine hundred fifty thousand, but greater than nine hundred forty-nine thousand. Number of the Day KEY NS 1.3 300 Write two numbers greater than 300 and two numbers less than 300 which would round to 300. Facts Practice KEY NS 3.1 Find each sum. 1. 152 + 343 2. 783 + 854 3. 54,198 + 2,003 4. 16,592 + 405,213 5. 129 + 452 + 1,490 6. 5,391 + 2,310 + 4,007 Daily Routines 4–5 Use with Chapter 4, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–5 11/30/07 1:37:40 AM Name Chapter 4, Lesson 1 Reteach Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 A factory has 2,000 workers. 532 workers are on the night shift. The rest work the day shift. How many workers work the day shift? Step 1 Model 2,000. Regroup 1,000 into 10 groups of 100. Take away 500. 100 100 100 100 100 100 100 100 100 100 1,000 Step 2 Regroup 100 into 10 groups of 10. Regroup 10 into 10 ones. Take away 32. 100 100 10 10 10 10 10 100 100 10 10 10 10 1 1 1 1 1 1 1 1 1 1 1,000 Step 3 Count what’s left to find the difference. Solution: 2,000 - 532 = 1,468 Solve. Use regrouping to help you. 1. 2,000 - 644 = 2. 2,000 - 366 = 3. $2,000 - $902 = 4. 2,000 - 583 = 5. 2,000 - 71 = 6. $2,000 - $823 = Writing Math Zach was subtracting 950 from 2,000. What place number did he not have to regroup? Explain. Reteach 4–6 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_RET.indd 4–6 11/30/07 1:41:50 AM Name Chapter 4, Lesson 1 Practice Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Subtract. Use play money to help. 1. $2,000 - $691 = 2. $2,000 - $821 = 3. $2,000 - $437 = 4. $2,000 - $585 = 5. $2,000 - $200 = 6. $2,000 - $372 = 2,000 - 21 = 9. 2,000 - 704 = 12. 2,000 - 881 = Subtract using regrouping. 7. 2,000 - 936 = 8. 10. 2,000 - 199 = 11. 2,000 - 543 = Test Practice Circle the letter of the correct answer. 13. How much is $309 subtracted from $2,000? 14. In the problem 2,000 - 642, which places have to be regrouped? A $1,609 A tens, hundreds, thousands B $1,691 B tens, thousands C $1,702 C hundreds, thousands D $1,093 D ones, tens, hundreds Writing Math Dale did the problem 2,000 - 850 and got the answer 2,150. What did he do wrong to get this answer? Explain. Practice 4–7 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_PRAC.indd 4–7 11/30/07 1:42:24 AM Name Date Weight Chapter 4, Lesson 1 Enrichment CA Standard NS 3.1 Read the table of measurements of weight. Then use the information to solve the problems. Measurements of Weight 1 pound (lb) = 16 ounces (oz) 1 short hundred-weight = 100 lbs 1 short ton = 2,000 lbs 1 long ton = 2,240 lbs 1. Jim’s piano weights 1 short ton. Fran’s organ weights 6 short hundred-weights. How many pounds more is Jim’s piano? 2. The combined weight of the members of Lee’s family is a long ton. The combined weight of the members of Connie’s family is a short ton. What is the difference between their families’ weights? 3. A small security safe weighs 2,000 pounds. The contents of the safe weight 80 pounds. What would the safe weigh if it were empty? 4. The old cannon on the town green weighs a short ton. The pile of cannon balls alongside it weighs 305 pounds. How much more does the cannon weigh? 5. The men had to move the cannon 2,000 feet across the green. They carried it 843 feet and then stopped to rest. How much farther did they have to carry the cannon? Writing Math A boulder weighs 2,000 pounds. A rock weighs 4,800 ounces. To get the difference between the two weights, what operation must you do first? Second? Enrichment 4–8 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_ENR.indd 4–8 11/30/07 1:42:52 AM Chapter 4, Lesson 1 Name Leveled Problem Solving Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Solve each problem. 1. The new department store sells 2,000 different items of clothing. It also sells 1,500 other products. How many more clothing items does the store sell? 2. Of the 2,000 clothing items, 750 are for men and the rest are for women. How many clothing items are for women? 3. The store was going to give prizes to its 2,000th customer. Lana was the 1,632nd customer. How many more people will walk into the store before the prize winner? 4. Jeff bought a new stove at the store for $795 plus a $30 delivery charge. He had $2,000 in his checking account before the purchase. After he wrote a check for the amount, how much money did he have left in his account? 5. Mr. Chee was interested in a new riding lawnmower that costs $2,000. He looked in his wallet and saw that he had a $500 bill, two $100 bills, a $50 bill and two $10 bills. How much more money does he need to buy the lawnmower? 6. The department store has 2,000 square feet of space inside. Of this space, 141 square feet are taken up by offices, 300 square feet by storage, and 75 by rest rooms. How much space remains for floor display space? Leveled Problem Solving 4–9 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_PS.indd 4–9 11/30/07 1:43:37 AM Name Chapter 4, Lesson 1 Homework Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Mr. McFee had $2,000. He bought a used car for $840. How much money did he have left? Step 1 Subtract $840 from $2,000. Represent $1,000 as ten $100 bills. Step 2 Regroup one $100 bill as ten $10 bills. ° ° ° ° ° ° ° ° ° ° Step 3 Write a subtraction problem to show your final answer. Solution: $2,000 - $840 = $1,160 Use play money to help you subtract. 1. $2,000 - $315 = 2. $2,000 - $86 = 3. $2,000 - $600 = 4. $2,000 - $892 = 5. $2,000 - $517 = 6. $2,000 - $276 = 4QJSBM3FWJFX (Chapter 3, Lesson 4) KEY NS 3.1 Add. 7. 9. 506 + 492 = 8. 683 + 77 = George had 108 bottle caps in his collection. Annie had 57 bottle caps. How many did they have together? Homework 4–10 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L1.indd 4–10 11/30/07 1:44:10 AM Name Chapter 4, Lesson 2 Daily Routines Date Estimate Differences Problem of the Day KEY NS 3.0 Anna has 312 photos in her scrapbook; 120 photos are of family members. How many photos in the scrapbook are not of family members? Number Sense NS 1.0 Label each point on the number line. 10, 60, 110 0 20 40 60 80 100 120 140 Word of the Day MR 2.3 sum When adding, will you find the sum or the difference? Facts Practice KEY NS 1.2 Compare using >, <, or =. 1. 4,152 4. 615,555 4,512 615,555 Daily Routines 2. 6,001 10,000 5. 99,999 4–11 999,999 3. 433,001 334,001 6. 800,000 777,777 Use with Chapter 4, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–11 2/6/08 6:55:37 PM Name Chapter 4, Lesson 2 Reteach Date Estimate Differences CA Standards NS 1.3, NS 2.1 Roy had 3,477 songs on his MP3 player. Elena had only 1,592 songs on her MP3 player. How many more songs did Roy have than Elena? Estimate the difference. Step 1 Round each number to the nearest hundred and subtract 3,500 1,600 ———— 1,900 3,477 rounds to 3,500. 1,592 rounds to 1,600. Step 2 To get a closer estimate, round to the nearest ten. 3,480 1,590 ———— 1,890 3,477 rounds to 3,480. 1,592 rounds to 1,590. Solution: Roy has about 1,890 more songs on his MP3 player than Elena has on hers. Round each number to the nearest hundred. Then estimate. 1. 34,501 - 17,989 = 2. 1,766 - 531 = 3. 56,724 - 23,861 = 4. 4,042 - 683 = 8. 6,228 - 4,872 = Round each number to the nearest thousand. Then estimate. 5. 93,615 - 33,518 = 9. 7,815 - 3,602 = 10. 42,573 - 21,322 = 10,545 - 4,106 = 14. 53,448 - 18,252 = 15. 11,399 - 3,404 = 13. 6. 8,703 - 5,492 = 7. 72,443 - 22,687 = 11. 6,013 - 2,654 = 12. 37,842 - 12,928 = 16. 86,798 - 51,501 = Writing Math In problem 16 above, if the second number was 51,499 instead of 51,501 would the answer change? Why? Reteach 4–12 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_RET.indd 4–12 11/30/07 1:44:56 AM Name Chapter 4, Lesson 2 Practice Date Estimate Differences CA Standards NS 1.3, NS 2.1 Round each number to the nearest hundred. Then estimate the difference. 1. 6,324 - 4,213 = 2. 22,937 - 14,679 = 3. 57,627 - 12,309 = 4. 4,583 - 2,777 = 5. 85,533 - 32,486 = 6. 8,792 - 3,934 = 9. 7,063 - 2,395 = Round each number to the nearest thousand. Then estimate the difference. 7. 5,355 - 2,798 = 8. 68,709 - 40,999 = Test Practice Circle the letter of the correct answer. 10. The Larson family drove 10,820 miles in their van. They drove 7,296 miles in their compact car. About how many more miles did they drive with the van? Round each number to the nearest hundred and estimate. 11. Crystal’s home town has 62,784 people. Simon’s home town has 87,200 people. About how many more people live in Simon’s town than Crystal’s town? Round each number to the nearest thousand and estimate. A 1,500 miles C 3,500 miles A 24,000 C 35,000 B 2,500 miles D 4,000 miles B 30,000 D 15,000 Writing Math The teacher asked Lewis and Kara to round the number 62,500 to the nearest thousand. Lewis’s answer was 63,000 and Kara’s was 62,000. Are they both right? Explain. Practice 4–13 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_PRAC.indd 4–13 11/30/07 1:45:23 AM Name Chapter 4, Lesson 2 Enrichment Date Diameters of Planets CA Standards NS 1.3, NS 2.1 A planet’s diameter is its width measured at its widest point, its equator. The chart below lists the diameters of all 8 planets in miles. Use the information to answer the problems. 1. 2. 3. Which planet’s diameter, if rounded to the nearest thousand, is 32,000 miles? About how much greater is the diameter of Earth than that of Venus? Round to the nearest hundred. If rounded to the nearest thousand, which two planets have a difference in diameter of only Planet Diameter Mercury 3,031 miles Venus 7,520 miles Earth 7,926 miles Mars 4,200 miles Jupiter 88,700 miles Saturn 74,600 miles Uranus Neptune 31,570 miles 30,200 miles Source: World Book, article on Planets 1,000 miles? 4. Which planet has a diameter that is 59,000 miles less than Jupiter’s diameter when rounded to the nearest thousand? 5. What is the difference in diameter between Saturn and Earth to the nearest hundred? Writing Math It is not necessary to round the diameters of 4 planets to the nearest hundred. Why? Enrichment 4–14 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_ENR.indd 4–14 11/30/07 1:46:18 AM Chapter 4, Lesson 2 Name Leveled Problem Solving Date Estimate Differences CA Standards NS 1.3, NS 2.1 Solve each problem. 1. The indoor sports arena seats 15,600 people. Last night’s ball game was attended by 9,400 people. Round each number to the nearest thousand and estimate how many seats were empty at the game. 2. The arena had a double header on Saturday. A total of 12,200 people attended the afternoon game and 13,900 came to the evening game. About how many more people attended the evening game? Round each number to the nearest thousand before finding the estimate. 3. The stadium underwent minor renovations. It cost a total of $44,560. The stadium owners have paid the builder $20,942 so far. About how much money do they still owe for this work? Round to the nearest hundred and then estimate the difference. 4. Receipts for the Friday night game were $80,522. Saturday’s receipts were $94,268. About how much more money did the stadium take in on Saturday than Friday? Round to the nearest hundred and estimate. 5. On Ladies’ Day, a total of 4,566 women came to the stadium. There were 8,249 men and 1,522 children at the same game. About how many more men and children attended the game than women? Round each number to the nearest ten before estimating. 6. Last season the stadium sold 23,921 cans of soda and 14,652 bottles of water to fans. They also sold 22,428 hot dogs and 13,756 hamburgers. About how many more beverages did they sell than sandwiches last season? Round each number to the nearest hundred before estimating. Leveled Problem Solving 4–15 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_PS.indd 4–15 11/30/07 1:47:15 AM Name Chapter 4, Lesson 2 Homework Date Estimate Differences CA Standards NS 1.3, NS 2.1 Hector has $1,362. He buys a computer for $1,151. Does he have enough money left to buy an MP3 player for $160? Step 1 Round each amount to the nearest hundred. $1,362 rounds to $1,400. 1,400 $1,151 rounds to $1,200. -1,200 200 Step 2 Compare the 2 numbers. Which is larger? $200 > $160 Solution: Hector has enough money left to buy the MP3 player. Round each number to the nearest hundred. Then estimate the difference. 1. 3,722 - 1,286 = 2. 5,951 - 2,503 = 3. $4,362 - $1,764 = 4. 55,229 - 23,287 = 8. 3,842 - 1,668 = Round each number to the nearest thousand. Then estimate the difference. 5. 89,842 - 35,388 = 4QJSBM3FWJFX 6. 61,358 - 26,501 = 7. 6,874 - 1,804 = (Chapter 2, Lessons 2 and 3) KEY NS 1.2, NS 1.3 Order from greatest to least. 9. 4,407,951 4,687,004 4,724,812 10. 12,900,462 12,090,541 12,547,620 11. What is 16,501 rounded to the nearest thousand? Homework 4–16 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L2.indd 4–16 11/30/07 1:47:52 AM Name Chapter 4, Lesson 3 Daily Routines Date Subtract Whole Numbers Problem of the Day KEY NS 3.1 Emma has 678 pennies. Her sister has 452 pennies. How many pennies will they have if they combine their money? Number Sense KEY NS 1.2 Order the following numbers from greatest to least. 151,430; 157,888; 160,000; 149,999 Number of the Day MR 2.3 24 How many ways can you use the number 24 today? Facts Practice KEY NS 3.0 Add to find the sum. 1. 6,433 + 1,999 2. 10,627 + 4,389 3. 11,111 + 998 4. 42,189 + 715 5. 52,061 + 6,081 6. 108,327 + 456,113 Daily Routines 4–17 Use with Chapter 4, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–17 1/31/08 10:29:14 AM Name Chapter 4, Lesson 3 Reteach Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Find 3,126 - 479. Step 2 Subtract tens. Regroup a hundred as 10 tens. Step 1 Subtract ones. Regroup a ten as 10 ones. Step 3 Subtract hundreds. Regroup a thousand as 10 hundreds. Then subtract thousands. 1011 11 0 116 // 116 2 0116 // 3,126 / // / 479 ———— 2,647 3,126 /// 479 ———— 47 3,126 // 479 ————7 - - - Solution: 3,126 - 479 = 2,647 Subtract. Use addition to check your answer. 1. 592 - 137 2. 796 - 625 7. ——— 6. 3. 385 - 128 8. ——— ——— 11. 846 - 319 4. 3,542 - 727 9. ———— ——— 9,128 - 3,549 = 4,994 - 564 ———— 12. 372 - 189 = 7,133 - 5,636 5. 4,698 - 2,314 10. ———— ———— 13. 9,826 - 7,737 ———— 5,129 - 4,632 ———— 9,871 - 4,923 = Writing Math Is problem 3 easier to solve than problem 4? Reteach 4–18 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_RET.indd 4–18 11/30/07 1:48:55 AM Name Chapter 4, Lesson 3 Practice Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Subtract. Use addition to check. 1. 924 -735 ______ 2. 672 -49 _____ 3. 3, 2 4 5 -860 ______ 4. 849 -364 ______ 5. 6, 4 9 2 -881 ______ 6. 7,402 - 4,829 = 7. 9,266 - 4,157 = 8. 5,481 - 1,954 = 9. 6,648 - 5,471 = 10. 6,981 - 6,549 = 11. 8,482 - 3,234 = Find each missing number. 12. 29 + 䊏 = 86 13. 䊏 - 64 = 802 14. 䊏 + 364 = 863 15. 䊏 - 292 = 605 16. 904 + 䊏 = 999 17. 䊏 + 284 = 438 Test Practice Circle the correct answer. 18. Ura bicycled 2,489 miles in 2003. In 2004, she bicycled 2,892 miles. How many more miles did she bicycle in 2004 than in 2003? 19. A concert hall seats 2,342 people. If 1,973 people attended last night’s concert, how many seats were unoccupied? A 400 C 304 A 300 seats C 369 seats B 403 D 300 B 469 seats D 339 seats Writing Math Gregory and Millie each raised $370 for their class trip. If $3,560 was raised by the entire class, how much was raised by the rest of the students? Explain how you found your answer. Practice 4–19 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_PRAC.indd 4–19 11/30/07 1:50:50 AM Name Chapter 4, Lesson 3 Enrichment Date The Cities of California CA Standards NS 3.1, NS 3.0 California has the largest state population. It has more than 200 incorporated cities. 7 of California’s better known small cities are shown in the chart below. Use the information from the chart to answer the questions. Smaller Cities of California City Carlsbad Chico Newport Beach Palm Springs San Rafael Santa Barbara Santa Monica County San Diego Butte Orange Riverside Marin Santa Barbara Los Angeles Population 90,271 59,954 70,032 42,807 56,063 92,325 84,084 Source: Wikipedia 1. How many more people live in Santa Barbara than Santa Monica? 2. What city has 20,239 more people than Newport Beach? 3. What two cities have a population difference of only 3,891? 4. Which city needs to gain 15,916 residents before it reaches a population of 100,000? 5. If 625 people left Palm Springs, what would the population be? Writing Math Rachael read problem 4 above and didn’t know what operation to perform to get the answer. What should she do? Enrichment 4–20 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_ENR.indd 4–20 11/30/07 1:51:20 AM Chapter 4, Lesson 3 Name Date Leveled Problem Solving Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Solve each problem. 1. The botanical gardens have 1,246 plants native to the area and 767 exotic plants from other places. How many more plants are native than exotic? 2. Of the 767 exotic plants, 452 of them must live in greenhouses under controlled conditions. How many are grown out-doors? 3. A total of 2,854 people visited the botanical gardens last month. 1,986 have visited so far this month. How many more visitors must come before the month’s end to match last month’s attendance? 4. Of the 2,854 visitors last month, 892 were children and 761 were men. How many women visited the gardens? 5. Last year the botanical gardens had a total of 15,841 visitors. 8,602 of these visitors came during the summer months. Another 3,017 came in the fall. The gardens are closed in the winter. How many people came in the spring? 6. There are 1,262 red roses and 948 red tulips in the botanical gardens. There are 659 yellow daffodils and 1,107 white lilies. How many more red flowers are there than yellow and white flowers in the gardens? Leveled Problem Solving 4–21 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_PS.indd 4–21 12/15/07 4:22:04 AM Name Chapter 4, Lesson 3 Homework Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 There are 3,745 students at Dan’s school. 849 students bring their own lunch from home. How many students buy lunch in the school cafeteria? 3 15 3, 7 4 5 Step 1 Subtract the ones. - 8 4 9 6 6 13 15 Step 2 Subtract the tens. 3, 7 4 5 -849 9 6 Step 3 Subtract the hundreds and thousands. 2 16 13 15 3, 7 4 5 -849 2, 8 9 6 Solution: 2,896 students buy their lunch at the school cafeteria. Subtract. Use addition or estimation to check. 1. 6,282 - 4,529 = 2. 8,510 - 2,238 = 3. 3,287 - 2,486 = 4. 9,125 - 5,306 = Find each missing number. - 371 = 124 5. 7. 1,398 - + 5,495 = 7,621 6. = 817 4QJSBM3FWJFX (Chapter 2, Lesson 3) KEY NS 1.3 Round each number to the nearest hundred thousand. 7. 11,256,893 9. The state college has 6,892 male students and 8,439 female students. Round each number to the nearest thousand and then add to get an estimate of the total number of students. Homework 8. 4–22 3,832,999 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L3.indd 4–22 11/30/07 1:52:25 AM Name Chapter 4, Lesson 4 Daily Routines Date Subtract Across Zeros Problem of the Day KEY NS 3.1 Mrs. Chen wants to buy a new computer. Computer Barn sells one for $1,134. PC Hut sells a similar computer for $987. How much would Mrs. Chen save by buying from PC Hut? Number Sense AF 1.0 Write three number sentences on your whiteboard. Make the first sentence show the Associative Property of Addition, make the second show the Commutative Property of Addition, and make the third show the Zero Property of Addition. Word of the Day MR 2.3 difference Give some real examples of when you might need to find the difference between two numbers. Facts Practice NS 2.1 Round each addend to the nearest hundred and estimate the sum. 1. 654 + 241 2. 894 + 342 3. 4,391 + 2,007 4. 995 + 2,332 5. 2,642 + 5,014 6. 527 + 7,632 Daily Routines 4–23 Use with Chapter 4, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–23 11/30/07 1:39:43 AM Name Chapter 4, Lesson 4 Reteach Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract 500 - 216. Step 1 Step 2 Step 3 Regroup the hundreds. Regroup the tens. Subtract the ones, tens, and hundreds. Hundreds Tens Ones – 4 10 5 0 0 2 1 6 5 hundreds = 4 hundreds, 10 tens Hundreds Tens Ones Hundreds Tens Ones – 4 9 10 10 4 9 10 10 5 0 0 5 0 0 2 1 6 2 1 6 2 8 4 – 4 10 ones - 6 ones = 4 ones 9 tens - 1 ten = 8 tens 10 tens = 9 tens, 10 ones 4 hundreds - 2 hundreds = 2 hundreds Subtract. Estimate or add to check. 1. 605 - 337 ——— 2. 702 - 397 ——— 3. 400 - 143 ——— 4. 506 - 188 ——— 6. 4,607 - 1,248 ———— 7. 7,007 - 5,912 ———— 8. 3,209 - 2,269 ———— 9. 9,100 - 7,662 ———— 5. 2,209 - 785 ———— 10. 8,500 - 6,294 ———— Writing Math Rich had a subtraction problem where he had to subtract 2,345 from 6,000. Where did he have to regroup? Explain what he did first. Reteach 4–24 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_RET.indd 4–24 11/30/07 1:52:55 AM Name Chapter 4, Lesson 4 Practice Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract. Estimate or add to check. 1. 6. 11. 15. 408 -254 ______ 4,005 - 846 = 2. 7. 8,012 - 1,609 = 6, 0 0 8 5489 ________ 680 -385 ______ 5, 6 0 2 -947 ______ 12. 16. 3. 902 -888 ______ 4. 300 -148 ______ 8. 7, 0 2 0 -963 ______ 9. $30.09 -23.52 ________ 13. $90.05 45.07 ________ 7,080 - 5,093 = 17. 5. 10. 2, 0 5 1 -762 ______ $90.00 -54.13 ________ 5,500 - 2,801= 14. 7,209 - 4,222 = $40.09 - $22.44 = 18. $80.00 - 67.33 = Test Practice Circle the correct answer. 19. Leah plans to write 200 pages for her book by the end of the year. So far, she has written 124 pages. How many more pages must she write to meet her goal? 20. A folksinger made 1,000 copies of his current CD. So far, he has sold 583 copies. How many copies does he have left? A 200 C 124 A 417 C 317 B 176 D 76 B 400 D 471 Writing Math Oren plans to drive 3,200 miles from the East Coast to the West Coast. So far, he has driven 1,789 miles. How many miles are left to drive? Explain how you found your answer. Practice 4–25 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_PRAC.indd 4–25 11/30/07 1:53:25 AM Name Chapter 4, Lesson 4 Enrichment Date Radio Stations CA Standards NS 3.1, NS 3.0 There are nearly 11,000 commercial radio stations in the United States. They play many different kinds of music and appeal to different groups of listeners. The table below lists some of the kinds of radio stations and the number of each. Use the information in the table to solve each problem. 1. 2. How many more stations play country music than top 40 music? Commercial Radio Stations in the U.S. Kind of Format What format is played on 298 more stations than those stations playing adult classic songs? Number of Stations Country 2,019 News/Talk 1,569 Spanish 703 Top 40 Music 502 Adult Classic Songs Rhythm and Blues 405 150 Source: 2006 New York Times Almanac, p. 402 (statistics for year 2005) 3. How many fewer stations play rhythm and blues music than news/talk? 5. If there are 10,731 commercial radio stations in the United States, how many of them are not represented in this table? 4. What two kinds of stations, if added together, would outnumber country music stations by 52? Writing Math Chris couldn’t figure out how to get the answer to problem 4. What steps would help her get the correct answer? Enrichment 4–26 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_ENR.indd 4–26 11/30/07 1:54:00 AM Chapter 4, Lesson 4 Name Leveled Problem Solving Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Solve each problem. 1. Harry has been collecting coins since he was 6. He has 700 coins in his collection. His father’s coin collection has 1,040 coins. How many more coins does the father have than his son? 2. Harry evaluated his coin collection to be worth $400. But a coin dealer offered to give him only $220 for it. Harry decided to keep his coins. What was the difference between his evaluation of his collection and the dealer’s offer? 3. Harry has 17 Indian head pennies and 53 Lincoln wheat-ear pennies in his collection. He also has 15 buffalo nickels and 47 older Jefferson nickels. How many more pennies does he have than nickels? 4. Harry has 17 Indian head pennies and 53 Lincoln wheat-ear pennies in his collection. He also has 15 buffalo nickels and 47 older Jefferson nickels. Of the 700 coins in Harry’s collection, how many are not pennies and nickels? 5. Harry’s dad gave him a silver dollar worth $20 and a Franklin half dollar worth $5.50 for his birthday. A friend offered Harry $40 for both coins. How much above the stated value would Harry get if he sold the coins? 6. Harry visited a coin show. On display were 3,007 American coins and 1,526 foreign coins. How many more American coins than foreign coins were at the show? Leveled Problem Solving 4–27 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_PS.indd 4–27 11/30/07 1:55:32 AM Name Chapter 4, Lesson 4 Homework Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract. 7,002 - 594 6 10 7, 0 0 2 -594 Step 1 Regroup one thousand as 10 hundreds. 9 6 10 10 7, 0 0 2 -594 Step 2 Regroup one of hundreds as 10 tens. 9 9 6 10 10 12 Step 3 Regroup one ten as 10 ones and subtract. 7, 0 0 2 -594 6, 4 0 8 Solution: 7,002 - 594 = 6,408 Subtract. Estimate or add to check. 1. 4,000 - 335 = 5. 7,004 - 2,840 = 6. 6,102 - 3,354 = 8. $60.00 - $56.85 = 9. $100.00 - $81.54 = 4QJSBM3FWJFX 2. 7,064 - 805 = 3. 3,080 - 1,064 = 7. 10. 4. 5,007 - 421 = 5,320 - 2,299 = $50.00 - $28.74 = (Chapter 3, Lesson 2) KEY NS 3.1 Find the number that makes each number sentence true. Tell which property of addition you used. 11. 2,589 + 3,579 = 3,579 + 12. 0 + 10,986 = 13. Joyce rewrote (462 + 947) + 211 as 462 + (947 + 211). What property of addition was she using? Homework 4–28 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L4.indd 4–28 1/27/08 10:27:47 AM Name Chapter 4, Lesson 5 Daily Routines Date Problem Solving: Too Much or Too Little Information Problem of the Day KEY NS 3.1 Jamal’s youngest sister was born in 2004. Jamal was born in 1986. How many years older than his youngest sister is Jamal? Number Sense MR 2.3 Make an organized list to find how many numbers between 1,500 and 1,700 have a 0 in the ones place and round to 1,600. Number of the Day KEY NS 3.1 245 Write two subtraction problems with a difference of 245. One problem should involve regrouping tens as ones, and one should involve regrouping hundreds as tens. Facts Practice KEY NS 3.1 Find each difference. 1. 487 - 315 2. 958 - 587 3. 2,752 - 1,429 4. 4,401 - 2,803 5. 38,491 - 22,593 6. 59,825 - 36,758 Daily Routines 4–29 Use with Chapter 4, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–29 11/30/07 1:40:01 AM Name Chapter 4, Lesson 5 Reteach Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Read It Look for information. The Golden Gate Bridge has 2 towers that rise 746 feet above sea level. The length of the bridge is 1.7 miles. The roadway is 220 feet above sea level. What is the distance from the roadway of the bridge to the top of the tower? Picture It Here is a table of the information in the problem. Measurement Needed Fact? Height of Towers above Sea Level 746 feet yes Length of Bridge 1.7 miles no Height of Roadway above Sea Level 220 feet yes Solve It Use the table to solve the problem. Subtract to find the distance from the roadway to the top of the tower. 746 ft – 220 ft = 526 ft Solve. If not enough information is given, tell what information is needed to solve the problem. 1. The suspension cables of the Golden Gate Bridge are each 7,650 feet long. How much cable is used altogether in the bridge? 2. Chicago’s Sears Tower is 1,450 feet tall with 110 stories. The Petronas Twin Towers are 1,480 feet tall with 88 stories. How much taller are the Petronas Twin Towers than Chicago’s Sears Tower? Writing Math When a problem gives too much information, how do you find the information you need? Reteach 4–30 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_RET.indd 4–30 11/30/07 1:56:30 AM Name Chapter 4, Lesson 5 Practice Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Mrs. Winter is planning a party for her class. Use the information on the table to answer problems 1–3. If not enough information is given, tell what information is needed to solve the problem. Item Cranberry Juice Pretzels Apple Slices Almonds String Cheese Sticks Number of Servings 8 per gallon 10 per bag 2 per apple 4 per bag 24 per bag 1. Mrs. Winter has 24 students. If she sets aside $10 for juice, will the students have enough to drink? 2. Mrs. Winter bought 3 bags of pretzels, 1 bag of string cheese sticks, and 6 bags of almonds. How many servings of pretzels will she have left over? Test Practice Circle the letter of the correct answer. 3. Henry drank 2 bottles of water on Saturday, 4 bottles on Monday, and 1 bottle on Tuesday. How many more bottles of water did he drink than last week? 4. Nadia finds 3 coins under her bed, 3 times that many under the 1 as many in her coat couch, and _ 3 pocket. How many coins did she find in all? A not enough information A not enough information B too much information B too much information C 3 more C 7 coins D 4 more D 13 coins Writing Math Alexis has been given a problem with too much information. What should she do? Practice 4–31 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_PRAC.indd 4–31 11/30/07 1:56:59 AM Name Date Problem Solving: Too Much or Too Little Information Chapter 4, Lesson 5 Enrichment CA Standards MR 1.1, NS 3.1 Use the information in the table. Write 4 problems: 2 with too much information and 2 with too little information. Exchange problems with a partner and solve. Mountain Peak Mt. McKinley Mt. Whitney Mr. Elbert Mt. Rainier Mt. Everest Mt. Kilimanjaro Location Alaska California Colorado Washington Nepal/Tibet Tanzania Height in Feet 20,320 14,494 14,433 14,410 29,035 19,340 1. 2. 3. 4. Writing Math Marylee wrote this problem: How much taller is Nepal’s Mt. Everest than California’s Mt. Shasta? Does Marylee’s problem have too much information or too little information? Explain. Enrichment 4–32 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_ENR.indd 4–32 11/30/07 1:57:37 AM Chapter 4, Lesson 5 Name Leveled Problem Solving Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Use the information in the paragraph below to solve problems 1–4. Problem Beverly sold tickets to the school play. She sold 28 tickets and collected $140. Jeff sold 15 tickets and collected $75. The tickets cost $5. How much more money did Beverly collect than Jeff? 1. What information do you need to solve the problem? 2. How will you solve the problem? 3. Do you have enough information to solve the problem? If so, solve and explain your steps. If not, what information do you need? 4. How can you tell if you have too much or too little information? 5. Eddie buys a box of 48 dog treats, 1 leash, and 2 bottles of dog shampoo for his puppy. Does Eddie have enough shampoo to give his puppy a bath every week for a month? Do you have too much or too little information to solve this problem? 6. Kylie put 4 dimes, 2 nickels, and 2 pennies in a bag. She and Samantha took turns pulling a coin from the bag until they each had 4 coins. How much money does each student have? Do you have too much or too little information to solve this problem? Leveled Problem Solving 4–33 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_PS.indd 4–33 11/30/07 1:58:09 AM Name Chapter 4, Lesson 5 Homework Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Rachel took 60 pictures. It cost her $18 to develop the pictures. Anna took 12 fewer pictures than Rachael. How many pictures did Anna take? What is the question? What do I need to know? What do I know? • How many pictures did Anna take? • How many pictures did Rachael take? • Rachael took 60 pictures. • Anna took 12 fewer pictures. Solve the problem. 60 -12 48 ← number of pictures Rachael took ← 12 fewer pictures ← number of pictures that Anna took Solution: Anna took 48 pictures. Solve. If not enough information is given, tell what information is needed to solve the problem. 1. Billy recorded 6 songs for his new CD. Each song is about 4 minutes long. How much will Billy make if he sells 50 CDs? 4QJSBM3FWJFX 2. Crystal is training to run a marathon. A marathon is about 26 miles. During the first three weeks of training, she will run 52 miles a week. During the next three weeks of training, she will run 60 miles a week. How many more miles will she run in week 5 than in week 2? (Chapter 3, Lesson 3) KEY NS 1.3, NS 2.1 Round each number to the nearest hundred. Then estimate the sum. 3. 427 + 872 + 5. 4. = 5,789 + 7,246 + = Jason counted his steps as he walked across the Golden Gate Bridge. He counted to 1,500 and stopped to rest. When he started to walk again, he started counting with 1 and counted 1,275 more steps. To the nearest hundred, about how many steps did Jason take as he walked across the bridge? Homework 4–34 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L5.indd 4–34 11/30/07 1:58:42 AM Name Chapter 4 Test Date Chapter 4 Test Circle the letter of the correct answer. 1 4 What is $500 - $400? 3 A $200 A $1 B $800 B $10 C $1,000 C $100 D $1,200 D $900 5 2 What is $2,000 - $1,200? What is $500 - $240? A $60 C $360 B $260 D $740 What is the difference for $2.47 - $1.23? A $1.24 B $1.30 C $3.00 D $3.70 Dwayne had $86. Then, he bought this baseball glove. 6 $30 How much money does Dwayne have left? A $36 B $56 C $106 D $126 Assessment Resources 4 Round each number to the nearest ten cents. What is the difference of $37.68 and $27.47? A $9.21 B $9.45 C $10.20 D $10.45 4–35 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–35 11/30/07 1:59:22 AM Name 7 8 Chapter 4 Test Date Badri wants a new bicycle that costs $189.99 and a bicycle helmet that costs $19.20. What is the difference between the price of the bicycle and the price of the helmet? 9 What is the exact difference between the following numbers? 3,399 - 1,245 A $169.79 A 1,300 B $170.79 B 2,100 C $171 C 2,154 D $209 D 2,200 Dora’s father is buying her roller blades that cost $38.75 and knee pads that cost $17.98. 10 11 About how much change will her father receive if he pays with a $100 bill? A $43 B $57 C $60 D $80 Assessment Resources 4 What is 841 - 232? A 600 B 609 C 610 D 640 What is $114.81 - $78.77? A $35.00 B $36.04 C $38.00 D $40.09 4–36 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–36 11/30/07 1:59:43 AM Name 12 13 What is $101,755 - $94,345? A $741 B $7,410 Rosa had $10.08. She spent $4.04 on a pair of earrings and $1.24 on a soft pretzel. How much money does Rosa have left? C $7,610 A $2.80 D $74,100 B $4.80 C $5.20 D $6.04 15 What is the difference between the numbers below? 2,300 - 158 14 Chapter 4 Test Date A 2,102 B 2,142 C 2,152 D 2,458 What is $1,410.10 - $275.10? 16 17 What is 400 - 227? A 73 B 173 C 200 D 227 Emilio has 245 coins. He can buy 50 more coins for $35. What information is not needed to figure how many coins he will have after buying the 50 coins? A $100.35 B $113.50 C $135.00 A how many coins he has now D $1,135.00 B how many coins he will buy C the cost of the coins he will buy D whether he is adding or subtracting from his collection Assessment Resources 4 4–37 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–37 11/30/07 1:59:58 AM Name 18 19 Chapter 4 Test Date Henry has been in 18 ballet recitals. What other information is needed to calculate the total number of recitals given by the ballet company? A how many students in his class B how long each recital lasts C how many years he has done ballet D how many recitals he missed 20 Mieko’s school has 24 classes and 360 students. What more does Mieko need to know to calculate the average number of students per class? A the number of teachers B the number of third graders C the number of principals D no other information Jason has 900 pieces of model railroad track. He uses 25 pieces for each loop of track. The pieces are 5 inches long. What is not needed to find out how many loops he will make? A the length of each piece of track B the number of pieces of track C the number of pieces per loop D how many pieces are in each loop Assessment Resources 4 4–38 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–38 11/30/07 2:00:14 AM Name Date Chapter 4 Test Individual Student Record Form Chapter 4 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. C 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 2. B 4NS3.1 3. B 4NS3.1 4. B 4NS3.1 5. A 4NS2.1 6. C 4NS2.1 7. B 4NS2.1 8. A 4NS2.1 9. C 4NS3.1 10. B 4NS3.1 11. B 4NS2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 12. B 4NS3.1 13. B 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers. 14. D 4NS2.1 15. B 4NS2.1 16. B 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers. 17. C 4MR1.1 18. D 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. 19. A 4MR1.1 20. D 4MR1.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. out of 20 4–39 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_C4_CT.indd 4–39 1/31/08 10:30:18 AM Teacher Name Date Chapter Test 4 Class Record Form Chapter 4 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. 4NS3.1 2. 4NS3.1 3. 4NS3.1 4. 4NS3.1 5. 4NS2.1 6. 4NS2.1 7. 4NS2.1 8. 4NS2.1 9. 4NS3.1 10. 4NS3.1 11. 4NS2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 12. 4NS3.1 13. 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 14. 4NS3.1 15. 4NS3.1 16. 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 17. 4MR1.1 18. 4MR1.1 19. 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. 20. 4MR1.1 Groups for differentiated instruction Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 4–40 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U2_C4_CRF_CT.indd 4–40 11/30/07 2:01:25 AM Chapter Resources Grade 4, Chapter 4 Contents Resources for Chapter 4: Subtraction • Lesson Quizzes Lessons 4.1–4.5 Daily Routines Reteach Practice Enrichment Leveled Problem Solving Homework • Chapter 4 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. Booklet 4 of 29 TTL_73744_U2_C04.indd 4–1 4–1 2/1/08 3:13:27 PM Name Date Chapter 4, Lesson 1 Lesson Quiz Lesson 1 Quiz Use play money to subtract. 1. $2,000 - $289 2. $2,000 - $430 3. $2,000 - $76 4. $2,000 - $825 Lesson Quiz Use with Chapter 4, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 4, Lesson 2 Lesson Quiz Lesson 2 Quiz Round each number to the nearest hundred. Then estimate the difference. 1. 5,864 - 4,216 2. 47,280 - 18,632 3. 6,941 - 3,662 4. 89,043 - 75,508 Lesson Quiz 4–2 Use with Chapter 4, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–2 11/30/07 1:35:08 AM Name Date Chapter 4, Lesson 3 Lesson Quiz Lesson 3 Quiz Subtract. Use addition to check your answer. 1. 419 - 351 2. 3,544 - 2,163 3. 824 - 682 4. 7,449 - 3,965 Lesson Quiz Use with Chapter 4, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. Name Date Chapter 4, Lesson 4 Lesson Quiz 4–3 Use with Chapter 4, Lesson 4 Lesson 4 Quiz Subtract. 1. 403 - 360 2. 301 - 83 3. 802 - 601 4. 7,049 - 2,906 Lesson Quiz Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–3 11/30/07 1:35:36 AM Name Date Chapter 4, Lesson 5 Lesson Quiz Lesson 5 Quiz Gil ran 8 miles on Friday and 12 miles each day on Saturday and Sunday. 1. How many miles in all did Gil run on the weekend? 2. Gil ran farther on Monday than on Sunday. How far did he run on the 4 days from Friday through Monday? Lesson Quiz Use with Chapter 4, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. Lesson Quiz 4–4 Copyright © Houghton Mifflin Company. All rights reserved. CAPEG4_C04_LessonQuiz.indd 4–4 11/30/07 1:36:00 AM Name Chapter 4, Lesson 1 Daily Routines Date Hands On: Model Subtraction from 2,000 Problem of the Day MR 2.3 The table below shows the number of visitors to a zoo over one week. Day Number of Visitors Weekdays 5,182 Saturday 3,891 Sunday 3,036 Looking at the table, how would you find about how many people attended the zoo in one week? Number Sense KEY NS 1.2 On your whiteboard, write three different numbers which are less than nine hundred fifty thousand, but greater than nine hundred forty-nine thousand. Number of the Day KEY NS 1.3 300 Write two numbers greater than 300 and two numbers less than 300 which would round to 300. Facts Practice KEY NS 3.1 Find each sum. 1. 152 + 343 2. 783 + 854 3. 54,198 + 2,003 4. 16,592 + 405,213 5. 129 + 452 + 1,490 6. 5,391 + 2,310 + 4,007 Daily Routines 4–5 Use with Chapter 4, Lesson 1 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–5 11/30/07 1:37:40 AM Name Chapter 4, Lesson 1 Reteach Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 A factory has 2,000 workers. 532 workers are on the night shift. The rest work the day shift. How many workers work the day shift? Step 1 Model 2,000. Regroup 1,000 into 10 groups of 100. Take away 500. 100 100 100 100 100 100 100 100 100 100 1,000 Step 2 Regroup 100 into 10 groups of 10. Regroup 10 into 10 ones. Take away 32. 100 100 10 10 10 10 10 100 100 10 10 10 10 1 1 1 1 1 1 1 1 1 1 1,000 Step 3 Count what’s left to find the difference. Solution: 2,000 - 532 = 1,468 Solve. Use regrouping to help you. 1. 2,000 - 644 = 3. $2,000 - $902 = 5. 2,000 - 71 = 1,634 1,417 4. 2,000 - 583 = 6. $2,000 - $823 = $1,177 1,356 $1,098 1,929 2. 2,000 - 366 = Writing Math Zach was subtracting 950 from 2,000. What place number did he not have to regroup? Explain. He didn’t have to regroup the tens because zero ones from zero ones is zero. Reteach 4–6 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_RET.indd 4–6 11/30/07 1:41:50 AM Name Chapter 4, Lesson 1 Practice Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Subtract. Use play money to help. 1. $2,000 - $691 = 2. $1,309 4. $2,000 - $585 = $2,000 - $821 = 3. $1,179 5. $1,415 $2,000 - $437 = $1,563 $2,000 - $200 = 6. $1,800 $2,000 - $372 = $1,628 Subtract using regrouping. 7. 2,000 - 936 = 8. 1,064 10. 2,000 - 199 = 1,801 2,000 - 21 = 9. 1,979 11. 2,000 - 704 = 1,296 2,000 - 543 = 12. 1,457 2,000 - 881 = 1,119 Test Practice Circle the letter of the correct answer. 13. How much is $309 subtracted from $2,000? 14. In the problem 2,000 - 642, which places have to be regrouped? A $1,609 A tens, hundreds, thousands B $1,691 B tens, thousands C $1,702 C hundreds, thousands D $1,093 D ones, tens, hundreds Writing Math Dale did the problem 2,000 - 850 and got the answer 2,150. What did he do wrong to get this answer? Explain. He forgot to regroup the thousands and make 10 hundreds out of one thousand. Practice 4–7 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_PRAC.indd 4–7 11/30/07 1:42:24 AM Name Chapter 4, Lesson 1 Enrichment Date Weight CA Standard NS 3.1 Read the table of measurements of weight. Then use the information to solve the problems. Measurements of Weight 1 pound (lb) = 16 ounces (oz) 1 short hundred-weight = 100 lbs 1 short ton = 2,000 lbs 1 long ton = 2,240 lbs 1. Jim’s piano weights 1 short ton. Fran’s organ weights 6 short hundred-weights. How many pounds more is Jim’s piano? 2. The combined weight of the members of Lee’s family is a long ton. The combined weight of the members of Connie’s family is a short ton. What is the difference between their families’ weights? 3. 240 lbs A small security safe weighs 2,000 pounds. The contents of the safe weight 80 pounds. What would the safe weigh if it were empty? 4. 1,400 lbs 1,920 pounds The old cannon on the town green weighs a short ton. The pile of cannon balls alongside it weighs 305 pounds. How much more does the cannon weigh? 1,695 pounds 5. The men had to move the cannon 2,000 feet across the green. They carried it 843 feet and then stopped to rest. How much farther did they have to carry the cannon? 1,157 feet Writing Math A boulder weighs 2,000 pounds. A rock weighs 4,800 ounces. To get the difference between the two weights, what operation must you do first? Second? First, convert to like units. Either multiply 2000 pounds by 16 or divide 4800 by 16. Then subtract the weight of the rock from the weight of the boulder. Enrichment 4–8 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_ENR.indd 4–8 11/30/07 1:42:52 AM Chapter 4, Lesson 1 Name Leveled Problem Solving Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Solve each problem. 1. The new department store sells 2,000 different items of clothing. It also sells 1,500 other products. How many more clothing items does the store sell? 2. 500 items 3. 1,250 items The store was going to give prizes to its 2,000th customer. Lana was the 1,632nd customer. How many more people will walk into the store before the prize winner? 4. Mr. Chee was interested in a new riding lawnmower that costs $2,000. He looked in his wallet and saw that he had a $500 bill, two $100 bills, a $50 bill and two $10 bills. How much more money does he need to buy the lawnmower? 6. $1,230 Leveled Problem Solving Jeff bought a new stove at the store for $795 plus a $30 delivery charge. He had $2,000 in his checking account before the purchase. After he wrote a check for the amount, how much money did he have left in his account? Level II $1,175 367 people 5. Of the 2,000 clothing items, 750 are for men and the rest are for women. How many clothing items are for women? Level I The department store has 2,000 square feet of space inside. Of this space, 141 square feet are taken up by offices, 300 square feet by storage, and 75 by rest rooms. How much space remains for floor display space? Level III 1,484 square feet 4–9 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L1_PS.indd 4–9 11/30/07 1:43:37 AM Name Chapter 4, Lesson 1 Homework Date Hands On: Model Subtraction from 2,000 CA Standard NS 3.1 Mr. McFee had $2,000. He bought a used car for $840. How much money did he have left? Step 1 Subtract $840 from $2,000. Represent $1,000 as ten $100 bills. Step 2 Regroup one $100 bill as ten $10 bills. ° ° ° ° ° ° ° ° ° ° Step 3 Write a subtraction problem to show your final answer. Solution: $2,000 - $840 = $1,160 Use play money to help you subtract. 1. $2,000 - $315 = 2. $1,685 4. 3. $1,914 $2,000 - $892 = 5. $1,108 4QJSBM3FWJFX $2,000 - $86 = $2,000 - $600 = $1,400 $2,000 - $517 = 6. $1,483 $2,000 - $276 = $1,724 (Chapter 3, Lesson 4) KEY NS 3.1 Add. 7. 9. 506 + 492 = 998 8. 683 + 77 = 760 George had 108 bottle caps in his collection. Annie had 57 bottle caps. How many did they have together? 165 bottle caps Homework 4–10 Use with text pages 72–73. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L1.indd 4–10 11/30/07 1:44:10 AM Name Chapter 4, Lesson 2 Daily Routines Date Estimate Differences Problem of the Day KEY NS 3.0 Anna has 312 photos in her scrapbook; 120 photos are of family members. How many photos in the scrapbook are not of family members? Number Sense NS 1.0 Label each point on the number line. 10, 60, 110 0 20 40 60 80 100 120 140 Word of the Day MR 2.3 sum When adding, will you find the sum or the difference? Facts Practice KEY NS 1.2 Compare using >, <, or =. 1. 4,152 4. 615,555 4,512 615,555 Daily Routines 2. 6,001 10,000 5. 99,999 4–11 999,999 3. 433,001 334,001 6. 800,000 777,777 Use with Chapter 4, Lesson 2 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–11 2/6/08 6:55:37 PM Name Chapter 4, Lesson 2 Reteach Date Estimate Differences CA Standards NS 1.3, NS 2.1 Roy had 3,477 songs on his MP3 player. Elena had only 1,592 songs on her MP3 player. How many more songs did Roy have than Elena? Estimate the difference. Step 1 Round each number to the nearest hundred and subtract 3,500 1,600 ———— 1,900 3,477 rounds to 3,500. 1,592 rounds to 1,600. Step 2 To get a closer estimate, round to the nearest ten. 3,480 1,590 ———— 1,890 3,477 rounds to 3,480. 1,592 rounds to 1,590. Solution: Roy has about 1,890 more songs on his MP3 player than Elena has on hers. Round each number to the nearest hundred. Then estimate. 1. 34,501 - 17,989 = 2. 1,766 - 531 = 16,500 3. 56,724 - 23,861 = 1,300 4. 32,800 4,042 - 683 = 3,300 Round each number to the nearest thousand. Then estimate. 5. 93,615 - 33,518 = 6. 8,703 - 5,492 = 60,000 9. 7,815 - 3,602 = 10,545 - 4,106 = 7,000 72,443 - 22,687 = 4,000 10. 4,000 13. 7. 49,000 42,573 - 21,322 = 11. 22,000 14. 8. 6,013 - 2,654 = 1,000 12. 3,000 53,448 - 18,252 = 15. 11,399 - 3,404 = 35,000 8,000 6,228 - 4,872 = 37,842 - 12,928 = 25,000 16. 86,798 - 51,501 = 35,000 Writing Math In problem 16 above, if the second number was 51,499 instead of 51,501 would the answer change? Why? Yes; you would have rounded down to 51,000 instead of up to 52,000. Reteach 4–12 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_RET.indd 4–12 11/30/07 1:44:56 AM Name Chapter 4, Lesson 2 Practice Date Estimate Differences CA Standards NS 1.3, NS 2.1 Round each number to the nearest hundred. Then estimate the difference. 1. 6,324 - 4,213 = 2. 3. 8,200 2,100 4. 22,937 - 14,679 = 4,583 - 2,777 = 5. 1,800 57,627 - 12,309 = 45,300 85,533 - 32,486 = 6. 8,792 - 3,934 = 53,000 4,900 Round each number to the nearest thousand. Then estimate the difference. 7. 5,355 - 2,798 = 8. 68,709 - 40,999 = 9. 7,063 - 2,395 = 28,000 2,000 5,000 Test Practice Circle the letter of the correct answer. 10. The Larson family drove 10,820 miles in their van. They drove 7,296 miles in their compact car. About how many more miles did they drive with the van? Round each number to the nearest hundred and estimate. 11. Crystal’s home town has 62,784 people. Simon’s home town has 87,200 people. About how many more people live in Simon’s town than Crystal’s town? Round each number to the nearest thousand and estimate. A 1,500 miles C 3,500 miles A 24,000 C 35,000 B 2,500 miles D 4,000 miles B 30,000 D 15,000 Writing Math The teacher asked Lewis and Kara to round the number 62,500 to the nearest thousand. Lewis’s answer was 63,000 and Kara’s was 62,000. Are they both right? Explain. Possible answer: No; the digit in the hundreds place is 5 or greater, so you should round up. Practice 4–13 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_PRAC.indd 4–13 11/30/07 1:45:23 AM Name Chapter 4, Lesson 2 Enrichment Date Diameters of Planets CA Standards NS 1.3, NS 2.1 A planet’s diameter is its width measured at its widest point, its equator. The chart below lists the diameters of all 8 planets in miles. Use the information to answer the problems. 1. Which planet’s diameter, if rounded to the nearest thousand, is 32,000 miles? Uranus 2. About how much greater is the diameter of Earth than that of Venus? Round to the nearest hundred. about 400 miles 3. If rounded to the nearest thousand, which two planets have a difference in diameter of only 1,000 miles? 4. Mars and Mercury Planet Diameter Mercury 3,031 miles Venus 7,520 miles Earth 7,926 miles Mars 4,200 miles Jupiter 88,700 miles Saturn 74,600 miles Uranus Neptune 31,570 miles 30,200 miles Source: World Book, article on Planets Which planet has a diameter that is 59,000 miles less than Jupiter’s diameter when rounded to the nearest thousand? Neptune 5. What is the difference in diameter between Saturn and Earth to the nearest hundred? about 66,700 miles Writing Math It is not necessary to round the diameters of 4 planets to the nearest hundred. Why? Mars, Jupiter, Saturn, and Neptune all end in exact hundreds. They cannot by rounded up or down. Enrichment 4–14 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_ENR.indd 4–14 11/30/07 1:46:18 AM Chapter 4, Lesson 2 Name Leveled Problem Solving Date Estimate Differences CA Standards NS 1.3, NS 2.1 Solve each problem. 1. The indoor sports arena seats 15,600 people. Last night’s ball game was attended by 9,400 people. Round each number to the nearest thousand and estimate how many seats were empty at the game. 2. about 7,000 seats 3. The stadium underwent minor renovations. It cost a total of $44,560. The stadium owners have paid the builder $20,942 so far. About how much money do they still owe for this work? Round to the nearest hundred and then estimate the difference. about 2,000 more 4. about $23,700 5. On Ladies’ Day, a total of 4,566 women came to the stadium. There were 8,249 men and 1,522 children at the same game. About how many more men and children attended the game than women? Round each number to the nearest ten before estimating. Receipts for the Friday night game were $80,522. Saturday’s receipts were $94,268. About how much more money did the stadium take in on Saturday than Friday? Round to the nearest hundred and estimate. Level II about $13,800 6. Last season the stadium sold 23,921 cans of soda and 14,652 bottles of water to fans. They also sold 22,428 hot dogs and 13,756 hamburgers. About how many more beverages did they sell than sandwiches last season? Round each number to the nearest hundred before estimating. Level III about 2,400 more beverages about 5,200 more Leveled Problem Solving The arena had a double header on Saturday. A total of 12,200 people attended the afternoon game and 13,900 came to the evening game. About how many more people attended the evening game? Round each number to the nearest thousand before finding the estimate. Level I 4–15 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L2_PS.indd 4–15 11/30/07 1:47:15 AM Name Chapter 4, Lesson 2 Homework Date Estimate Differences CA Standards NS 1.3, NS 2.1 Hector has $1,362. He buys a computer for $1,151. Does he have enough money left to buy an MP3 player for $160? Step 1 Round each amount to the nearest hundred. $1,362 rounds to $1,400. 1,400 $1,151 rounds to $1,200. -1,200 200 Step 2 Compare the 2 numbers. Which is larger? $200 > $160 Solution: Hector has enough money left to buy the MP3 player. Round each number to the nearest hundred. Then estimate the difference. 1. 3,722 - 1,286 = 2. 5,951 - 2,503 = 2,400 3. $4,362 - $1,764 = 3,500 4. $2,600 55,229 - 23,287 = 31,900 Round each number to the nearest thousand. Then estimate the difference. 5. 89,842 - 35,388 = 55,000 4QJSBM3FWJFX 6. 61,358 - 26,501 = 34,000 7. 6,874 - 1,804 = 8. 3,842 - 1,668 = 5,000 2,000 (Chapter 2, Lessons 2 and 3) KEY NS 1.2, NS 1.3 Order from greatest to least. 9. 4,407,951 4,687,004 4,724,812 4,724,812 4,687,004 4,407,951 10. 12,900,462 12,090,541 12,547,620 12,900,462 12,547,620 12,090,541 11. What is 16,501 rounded to the nearest thousand? 17,000 Homework 4–16 Use with text pages 74–76. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L2.indd 4–16 11/30/07 1:47:52 AM Name Chapter 4, Lesson 3 Daily Routines Date Subtract Whole Numbers Problem of the Day KEY NS 3.1 Emma has 678 pennies. Her sister has 452 pennies. How many pennies will they have if they combine their money? Number Sense KEY NS 1.2 Order the following numbers from greatest to least. 151,430; 157,888; 160,000; 149,999 Number of the Day MR 2.3 24 How many ways can you use the number 24 today? Facts Practice KEY NS 3.0 Add to find the sum. 1. 6,433 + 1,999 2. 10,627 + 4,389 3. 11,111 + 998 4. 42,189 + 715 5. 52,061 + 6,081 6. 108,327 + 456,113 Daily Routines 4–17 Use with Chapter 4, Lesson 3 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–17 1/31/08 10:29:14 AM Name Chapter 4, Lesson 3 Reteach Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Find 3,126 - 479. Step 2 Subtract tens. Regroup a hundred as 10 tens. Step 1 Subtract ones. Regroup a ten as 10 ones. Step 3 Subtract hundreds. Regroup a thousand as 10 hundreds. Then subtract thousands. 1011 11 0 116 // 116 2 0116 // 3,126 /// 479 ———— 47 3,126 // 479 ————7 - 3,126 / // / 479 ———— 2,647 - - Solution: 3,126 - 479 = 2,647 Subtract. Use addition to check your answer. 1. 592 - 137 2. ——— 796 - 625 7. 171 4,430 385 - 128 8. ——— 5,579 3,542 - 727 ———— 2,815 257 9,128 - 3,549 = 4,994 - 564 ———— 527 ——— 11. 3. ——— 455 6. 846 - 319 12. 372 - 189 = 183 4. 7,133 - 5,636 ———— 1,497 9. 4,698 - 2,314 5. ———— 2,089 10. ———— 5,129 - 4,632 ———— 497 2,384 13. 9,826 - 7,737 9,871 - 4,923 = 4,948 Writing Math Is problem 3 easier to solve than problem 4? Yes; because the top digits in each place value are greater than or equal to the bottom digits and there is no need to regroup as there is in problem 4. Reteach 4–18 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_RET.indd 4–18 11/30/07 1:48:55 AM Name Chapter 4, Lesson 3 Practice Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Subtract. Use addition to check. 1. 924 -735 ______ 2. 189 6. 672 -49 _____ 7. 2,573 9. 4. 2,385 623 7,402 - 4,829 = 3, 2 4 5 -860 ______ 3. 849 -364 ______ 485 9,266 - 4,157 = 8. 10. 1,177 5,611 5,481 - 1,954 = 3,527 5,109 6,648 - 5,471 = 6, 4 9 2 -881 ______ 5. 6,981 - 6,549 = 11. 8,482 - 3,234 = 5,248 432 Find each missing number. 12. 29 + 䊏 = 86 13. 䊏 - 292 = 605 16. 14. 904 + 䊏 = 999 17. 897 䊏 + 364 = 863 499 866 57 15. 䊏 - 64 = 802 95 䊏 + 284 = 438 154 Test Practice Circle the correct answer. 18. Ura bicycled 2,489 miles in 2003. In 2004, she bicycled 2,892 miles. How many more miles did she bicycle in 2004 than in 2003? 19. A concert hall seats 2,342 people. If 1,973 people attended last night’s concert, how many seats were unoccupied? A 400 C 304 A 300 seats C 369 seats B 403 D 300 B 469 seats D 339 seats Writing Math Gregory and Millie each raised $370 for their class trip. If $3,560 was raised by the entire class, how much was raised by the rest of the students? Explain how you found your answer. $2,820; I subtracted $370 from $3,560 twice. Practice 4–19 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_PRAC.indd 4–19 11/30/07 1:50:50 AM Name Chapter 4, Lesson 3 Enrichment Date The Cities of California CA Standards NS 3.1, NS 3.0 California has the largest state population. It has more than 200 incorporated cities. 7 of California’s better known small cities are shown in the chart below. Use the information from the chart to answer the questions. Smaller Cities of California City Carlsbad Chico Newport Beach Palm Springs San Rafael Santa Barbara Santa Monica County San Diego Butte Orange Riverside Marin Santa Barbara Los Angeles Population 90,271 59,954 70,032 42,807 56,063 92,325 84,084 Source: Wikipedia 1. How many more people live in Santa Barbara than Santa Monica? 2. 8,241 more people 3. Carlsbad What two cities have a population difference of only 3,891? 4. Chico and San Rafael 5. What city has 20,239 more people than Newport Beach? Which city needs to gain 15,916 residents before it reaches a population of 100,000? Santa Monica If 625 people left Palm Springs, what would the population be? 42,182 Writing Math Rachael read problem 4 above and didn’t know what operation to perform to get the answer. What should she do? She should subtract 15,916 from 100,000 and see which city has the population that matches the difference. Enrichment 4–20 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_ENR.indd 4–20 11/30/07 1:51:20 AM Chapter 4, Lesson 3 Name Date Leveled Problem Solving Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 Solve each problem. 1. The botanical gardens have 1,246 plants native to the area and 767 exotic plants from other places. How many more plants are native than exotic? 2. 479 plants 3. 315 plants A total of 2,854 people visited the botanical gardens last month. 1,986 have visited so far this month. How many more visitors must come before the month’s end to match last month’s attendance? 4. 868 more people 5. Of the 2,854 visitors last month, 892 were children and 761 were men. How many women visited the gardens? Level II 1,201 women Last year the botanical gardens had a total of 15,841 visitors. 8,602 of these visitors came during the summer months. Another 3,017 came in the fall. The gardens are closed in the winter. How many people came in the spring? 6. 4,222 visitors Leveled Problem Solving Of the 767 exotic plants, 452 of them must live in greenhouses under controlled conditions. How many are grown out-doors? Level I There are 1,262 red roses and 948 red tulips in the botanical gardens. There are 659 yellow daffodils and 1,107 white lilies. How many more red flowers are there than yellow and white flowers in the gardens? Level III 444 more red flowers 4–21 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L3_PS.indd 4–21 12/15/07 4:22:04 AM Name Chapter 4, Lesson 3 Homework Date Subtract Whole Numbers CA Standards NS 3.1, NS 3.0 There are 3,745 students at Dan’s school. 849 students bring their own lunch from home. How many students buy lunch in the school cafeteria? 3 15 3, 7 4 5 Step 1 Subtract the ones. - 8 4 9 6 6 13 15 Step 2 Subtract the tens. 3, 7 4 5 -849 9 6 Step 3 Subtract the hundreds and thousands. 2 16 13 15 3, 7 4 5 -849 2, 8 9 6 Solution: 2,896 students buy their lunch at the school cafeteria. Subtract. Use addition or estimation to check. 1. 6,282 - 4,529 = 2. 8,510 - 2,238 = 1,753 3. 6,272 3,287 - 2,486 = 801 4. 9,125 - 5,306 = 3,819 Find each missing number. 495 - 371 = 124 581 = 817 7. 1,398 5. 4QJSBM3FWJFX 6. 2,126 + 5,495 = 7,621 (Chapter 2, Lesson 3) KEY NS 1.3 Round each number to the nearest hundred thousand. 11,300,000 11,256,893 9. The state college has 6,892 male students and 8,439 female students. Round each number to the nearest thousand and then add to get an estimate of the total number of students. 8. 3,832,999 3,800,000 7. 15,000 students Homework 4–22 Use with text pages 78–80. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L3.indd 4–22 11/30/07 1:52:25 AM Name Chapter 4, Lesson 4 Daily Routines Date Subtract Across Zeros Problem of the Day KEY NS 3.1 Mrs. Chen wants to buy a new computer. Computer Barn sells one for $1,134. PC Hut sells a similar computer for $987. How much would Mrs. Chen save by buying from PC Hut? Number Sense AF 1.0 Write three number sentences on your whiteboard. Make the first sentence show the Associative Property of Addition, make the second show the Commutative Property of Addition, and make the third show the Zero Property of Addition. Word of the Day MR 2.3 difference Give some real examples of when you might need to find the difference between two numbers. Facts Practice NS 2.1 Round each addend to the nearest hundred and estimate the sum. 1. 654 + 241 2. 894 + 342 3. 4,391 + 2,007 4. 995 + 2,332 5. 2,642 + 5,014 6. 527 + 7,632 Daily Routines 4–23 Use with Chapter 4, Lesson 4 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–23 11/30/07 1:39:43 AM Name Chapter 4, Lesson 4 Reteach Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract 500 - 216. Step 1 Step 2 Step 3 Regroup the hundreds. Regroup the tens. Subtract the ones, tens, and hundreds. Hundreds Tens Ones – 4 10 5 0 0 2 1 6 5 hundreds = 4 hundreds, 10 tens Hundreds Tens Ones Hundreds Tens Ones – 4 9 10 10 4 9 10 10 5 0 0 5 0 0 2 1 6 2 1 6 2 8 4 – 4 10 ones - 6 ones = 4 ones 9 tens - 1 ten = 8 tens 10 tens = 9 tens, 10 ones 4 hundreds - 2 hundreds = 2 hundreds Subtract. Estimate or add to check. 1. 605 - 337 ——— 2. 268 6. 4,607 - 1,248 ———— 3,359 702 - 397 ——— 3. 7,007 - 5,912 ———— 1,095 4. 3,209 - 2,269 ———— 9. 257 305 7. 400 - 143 ——— 8. 940 506 - 188 ——— 318 9,100 - 7,662 ———— 1,438 5. 2,209 - 785 ———— 1,424 10. 8,500 - 6,294 ———— 2,206 Writing Math Rich had a subtraction problem where he had to subtract 2,345 from 6,000. Where did he have to regroup? Explain what he did first. He had to regroup the thousands, hundreds, and tens. He took 10 hundreds from 6,000, leaving 5,000 and a 10 in the hundreds place. Reteach 4–24 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_RET.indd 4–24 11/30/07 1:52:55 AM Name Chapter 4, Lesson 4 Practice Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract. Estimate or add to check. 1. 408 -254 ______ 2. 4,005 - 846 = 7. 3,159 11. 8,012 - 1,609 = 6, 0 0 8 5489 ________ 902 -888 ______ 8. 4,655 12. 4. 14 5, 6 0 2 -947 ______ 6,403 15. 3. 295 154 6. 680 -385 ______ 9. 13. 17. 7,209 - 4,222 = 14. $40.09 - $22.44 = 1,987 519 $35.87 2,987 2,699 7,080 - 5,093 = $90.00 -54.13 ________ 10. $30.09 -23.52 ________ 5,500 - 2,801= $44.98 16. 1,289 $6.57 6,057 2, 0 5 1 -762 ______ 5. 152 7, 0 2 0 -963 ______ $90.05 45.07 ________ 300 -148 ______ $80.00 - 67.33 = 18. $12.67 $17.65 Test Practice Circle the correct answer. 19. Leah plans to write 200 pages for her book by the end of the year. So far, she has written 124 pages. How many more pages must she write to meet her goal? 20. A folksinger made 1,000 copies of his current CD. So far, he has sold 583 copies. How many copies does he have left? A 200 C 124 A 417 C 317 B 176 D 76 B 400 D 471 Writing Math Oren plans to drive 3,200 miles from the East Coast to the West Coast. So far, he has driven 1,789 miles. How many miles are left to drive? Explain how you found your answer. 1,411 miles; I subtracted 1,789 miles from 3,200 miles. Practice 4–25 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_PRAC.indd 4–25 11/30/07 1:53:25 AM Name Chapter 4, Lesson 4 Enrichment Date Radio Stations CA Standards NS 3.1, NS 3.0 There are nearly 11,000 commercial radio stations in the United States. They play many different kinds of music and appeal to different groups of listeners. The table below lists some of the kinds of radio stations and the number of each. Use the information in the table to solve each problem. 1. How many more stations play country music than top 40 music? Commercial Radio Stations in the U.S. Kind of Format 1,517 2. What format is played on 298 more stations than those stations playing adult classic songs? Spanish Number of Stations Country 2,019 News/Talk 1,569 Spanish 703 Top 40 Music 502 Adult Classic Songs Rhythm and Blues 405 150 Source: 2006 New York Times Almanac, p. 402 (statistics for year 2005) 3. How many fewer stations play rhythm and blues music than news/talk? 4. 1,419 5. What two kinds of stations, if added together, would outnumber country music stations by 52? News/Talk and Top 40 If there are 10,731 commercial radio stations in the United States, how many of them are not represented in this table? 5,383 Writing Math Chris couldn’t figure out how to get the answer to problem 4. What steps would help her get the correct answer? She should try adding 2 of the numbers and then subtracting the total from the number of country stations. The combination that has a difference of 52 is the correct answer. Enrichment 4–26 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_ENR.indd 4–26 11/30/07 1:54:00 AM Chapter 4, Lesson 4 Name Leveled Problem Solving Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Solve each problem. 1. Harry has been collecting coins since he was 6. He has 700 coins in his collection. His father’s coin collection has 1,040 coins. How many more coins does the father have than his son? 2. 340 more coins 3. $180 Harry has 17 Indian head pennies and 53 Lincoln wheat-ear pennies in his collection. He also has 15 buffalo nickels and 47 older Jefferson nickels. How many more pennies does he have than nickels? 4. 8 more pennies 5. Harry’s dad gave him a silver dollar worth $20 and a Franklin half dollar worth $5.50 for his birthday. A friend offered Harry $40 for both coins. How much above the stated value would Harry get if he sold the coins? Harry has 17 Indian head pennies and 53 Lincoln wheat-ear pennies in his collection. He also has 15 buffalo nickels and 47 older Jefferson nickels. Of the 700 coins in Harry’s collection, how many are not pennies and nickels? Level II 568 coins 6. $14.50 Leveled Problem Solving Harry evaluated his coin collection to be worth $400. But a coin dealer offered to give him only $220 for it. Harry decided to keep his coins. What was the difference between his evaluation of his collection and the dealer’s offer? Level I Harry visited a coin show. On display were 3,007 American coins and 1,526 foreign coins. How many more American coins than foreign coins were at the show? Level III 1,481 more American coins 4–27 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L4_PS.indd 4–27 11/30/07 1:55:32 AM Name Chapter 4, Lesson 4 Homework Date Subtract Across Zeros CA Standards NS 3.1, NS 3.0 Subtract. 7,002 - 594 6 10 7, 0 0 2 -594 Step 1 Regroup one thousand as 10 hundreds. 9 6 10 10 7, 0 0 2 -594 Step 2 Regroup one of hundreds as 10 tens. 9 9 6 10 10 12 Step 3 Regroup one ten as 10 ones and subtract. 7, 0 0 2 -594 6, 4 0 8 Solution: 7,002 - 594 = 6,408 Subtract. Estimate or add to check. 1. 4,000 - 335 = 2. 7,064 - 805 = 3,665 5. 7,004 - 2,840 = 6. $3.15 9. 4. 2,016 6,102 - 3,354 = $100.00 - $81.54 = 5,007 - 421 = 4,586 7. 2,748 $60.00 - $56.85 = 4QJSBM3FWJFX 3,080 - 1,064 = 6,259 4,164 8. 3. 5,320 - 2,299 = 3,021 10. $18.46 $50.00 - $28.74 = $21.26 (Chapter 3, Lesson 2) KEY NS 3.1 Find the number that makes each number sentence true. Tell which property of addition you used. 11. 2,589 + 3,579 = 3,579 + 12. 0 + 10,986 = 13. 2,589; Commutative Property 10,986; Zero Property Joyce rewrote (462 + 947) + 211 as 462 + (947 + 211). What property of addition was she using? Associative Property Homework 4–28 Use with text pages 82–83. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L4.indd 4–28 1/27/08 10:27:47 AM Name Chapter 4, Lesson 5 Daily Routines Date Problem Solving: Too Much or Too Little Information Problem of the Day KEY NS 3.1 Jamal’s youngest sister was born in 2004. Jamal was born in 1986. How many years older than his youngest sister is Jamal? Number Sense MR 2.3 Make an organized list to find how many numbers between 1,500 and 1,700 have a 0 in the ones place and round to 1,600. Number of the Day KEY NS 3.1 245 Write two subtraction problems with a difference of 245. One problem should involve regrouping tens as ones, and one should involve regrouping hundreds as tens. Facts Practice KEY NS 3.1 Find each difference. 1. 487 - 315 2. 958 - 587 3. 2,752 - 1,429 4. 4,401 - 2,803 5. 38,491 - 22,593 6. 59,825 - 36,758 Daily Routines 4–29 Use with Chapter 4, Lesson 5 Copyright © Houghton Mifflin Company. All rights reserved. C04_G4_CAMath_Daily Rout_T.indd 4–29 11/30/07 1:40:01 AM Name Chapter 4, Lesson 5 Reteach Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Read It Look for information. The Golden Gate Bridge has 2 towers that rise 746 feet above sea level. The length of the bridge is 1.7 miles. The roadway is 220 feet above sea level. What is the distance from the roadway of the bridge to the top of the tower? Picture It Here is a table of the information in the problem. Measurement Needed Fact? Height of Towers above Sea Level 746 feet yes Length of Bridge 1.7 miles no Height of Roadway above Sea Level 220 feet yes Solve It Use the table to solve the problem. Subtract to find the distance from the roadway to the top of the tower. 746 ft – 220 ft = 526 ft Solve. If not enough information is given, tell what information is needed to solve the problem. 1. The suspension cables of the Golden Gate Bridge are each 7,650 feet long. How much cable is used altogether in the bridge? not enough information; the number of cables 2. Chicago’s Sears Tower is 1,450 feet tall with 110 stories. The Petronas Twin Towers are 1,480 feet tall with 88 stories. How much taller are the Petronas Twin Towers than Chicago’s Sears Tower? 30 ft Writing Math When a problem gives too much information, how do you find the information you need? Answers will vary. Reteach 4–30 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_RET.indd 4–30 11/30/07 1:56:30 AM Name Chapter 4, Lesson 5 Practice Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Mrs. Winter is planning a party for her class. Use the information on the table to answer problems 1–3. If not enough information is given, tell what information is needed to solve the problem. 1. Item Cranberry Juice Pretzels Apple Slices Almonds String Cheese Sticks Number of Servings 8 per gallon 10 per bag 2 per apple 4 per bag 24 per bag Mrs. Winter has 24 students. If she sets aside $10 for juice, will the students have enough to drink? not enough information; need to know how much each gallon of juice costs 2. Mrs. Winter bought 3 bags of pretzels, 1 bag of string cheese sticks, and 6 bags of almonds. How many servings of pretzels will she have left over? 6 servings Test Practice Circle the letter of the correct answer. 3. Henry drank 2 bottles of water on Saturday, 4 bottles on Monday, and 1 bottle on Tuesday. How many more bottles of water did he drink than last week? 4. Nadia finds 3 coins under her bed, 3 times that many under the 1 as many in her coat couch, and _ 3 pocket. How many coins did she find in all? A not enough information A not enough information B too much information B too much information C 3 more C 7 coins D 4 more D 13 coins Writing Math Alexis has been given a problem with too much information. What should she do? She should sort the important information from the unimportant information. Practice 4–31 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_PRAC.indd 4–31 11/30/07 1:56:59 AM Name Chapter 4, Lesson 5 Enrichment Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Use the information in the table. Write 4 problems: 2 with too much information and 2 with too little information. Exchange problems with a partner and solve. Mountain Peak Mt. McKinley Mt. Whitney Mr. Elbert Mt. Rainier Mt. Everest Mt. Kilimanjaro Location Alaska California Colorado Washington Nepal/Tibet Tanzania Height in Feet 20,320 14,494 14,433 14,410 29,035 19,340 Answers will vary. Check that 2 problems have too little information and 2 have too much information. 1. 2. 3. 4. Writing Math Marylee wrote this problem: How much taller is Nepal’s Mt. Everest than California’s Mt. Shasta? Does Marylee’s problem have too much information or too little information? Explain. Too little; we don’t know how tall Mt. Shasta is. Enrichment 4–32 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_ENR.indd 4–32 11/30/07 1:57:37 AM Chapter 4, Lesson 5 Name Leveled Problem Solving Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Use the information in the paragraph below to solve problems 1–4. Problem Beverly sold tickets to the school play. She sold 28 tickets and collected $140. Jeff sold 15 tickets and collected $75. The tickets cost $5. How much more money did Beverly collect than Jeff? 1. What information do you need to solve the problem? 2. Level I Subtract the amount of money Jeff collected from the amount of money Beverly collected. how much money Beverly collected and how much money Jeff collected 3. Do you have enough information to solve the problem? If so, solve and explain your steps. If not, what information do you need? 4. Eddie buys a box of 48 dog treats, 1 leash, and 2 bottles of dog shampoo for his puppy. Does Eddie have enough shampoo to give his puppy a bath every week for a month? Do you have too much or too little information to solve this problem? 6. Kylie put 4 dimes, 2 nickels, and 2 pennies in a bag. She and Samantha took turns pulling a coin from the bag until they each had 4 coins. How much money does each student have? Do you have too much or too little information to solve this problem? Level III too little information too little information Leveled Problem Solving How can you tell if you have too much or too little information? Level II Look at the question and decide what information you need. Then look at the information given to decide if you have all the information you need. Yes; subtract $140 - $75 = $65. Beverly collected $65 more than Jeff. 5. How will you solve the problem? 4–33 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_C4L5_PS.indd 4–33 11/30/07 1:58:09 AM Name Chapter 4, Lesson 5 Homework Date Problem Solving: Too Much or Too Little Information CA Standards MR 1.1, NS 3.1 Rachel took 60 pictures. It cost her $18 to develop the pictures. Anna took 12 fewer pictures than Rachael. How many pictures did Anna take? What is the question? What do I need to know? What do I know? • How many pictures did Anna take? • How many pictures did Rachael take? • Rachael took 60 pictures. • Anna took 12 fewer pictures. Solve the problem. 60 -12 48 ← number of pictures Rachael took ← 12 fewer pictures ← number of pictures that Anna took Solution: Anna took 48 pictures. Solve. If not enough information is given, tell what information is needed to solve the problem. 1. Billy recorded 6 songs for his new CD. Each song is about 4 minutes long. How much will Billy make if he sells 50 CDs? 2. not enough information; need to know how much each CD costs 4QJSBM3FWJFX Crystal is training to run a marathon. A marathon is about 26 miles. During the first three weeks of training, she will run 52 miles a week. During the next three weeks of training, she will run 60 miles a week. How many more miles will she run in week 5 than in week 2? 8 miles (Chapter 3, Lesson 3) KEY NS 1.3, NS 2.1 Round each number to the nearest hundred. Then estimate the sum. 3. 427 + 872 400 5. + 4. 900 = 5,789 + 7,246 5,800 + 7,200 1,300 = 13,000 Jason counted his steps as he walked across the Golden Gate Bridge. He counted to 1,500 and stopped to rest. When he started to walk again, he started counting with 1 and counted 1,275 more steps. To the nearest hundred, about how many steps did Jason take as he walked across the bridge? 2,800 steps Homework 4–34 Use with text pages 84–85. Copyright © Houghton Mifflin Company. All rights reserved. 73744_HMWK_C4L5.indd 4–34 11/30/07 1:58:42 AM Name Chapter 4 Test Date Chapter 4 Test 4NS3.1 Circle the letter of the correct answer. 1 What is $500 - $400? 4 4NS3.1 What is $2,000 - $1,200? A $200 A $1 B $800 B $10 C $1,000 C $100 D $1,200 D $900 4NS2.1 4NS3.1 2 5 What is $500 - $240? A $60 C $360 B $260 D $740 What is the difference for $2.47 - $1.23? A $1.24 B $1.30 C $3.00 D $3.70 4NS3.1 3 Dwayne had $86. Then, he bought this baseball glove. 4NS2.1 6 $30 How much money does Dwayne have left? A $36 B $56 C $106 D $126 Assessment Resources 4 Round each number to the nearest ten cents. What is the difference of $37.68 and $27.47? A $9.21 B $9.45 C $10.20 D $10.45 4–35 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–35 11/30/07 1:59:22 AM Name Chapter 4 Test Date 4NS2.1 7 Badri wants a new bicycle that costs $189.99 and a bicycle helmet that costs $19.20. What is the difference between the price of the bicycle and the price of the helmet? 9 What is the exact difference between the following numbers? 3,399 - 1,245 A $169.79 A 1,300 B $170.79 B 2,100 C $171 C 2,154 D $209 D 2,200 4NS2.1 8 4NS3.1 Dora’s father is buying her roller blades that cost $38.75 and knee pads that cost $17.98. 4NS3.1 10 What is 841 - 232? A 600 B 609 C 610 D 640 4NS2.1 11 About how much change will her father receive if he pays with a $100 bill? A $43 B $57 C $60 D $80 Assessment Resources 4 What is $114.81 - $78.77? A $35.00 B $36.04 C $38.00 D $40.09 4–36 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–36 11/30/07 1:59:43 AM Name Chapter 4 Test Date 4NS3.1 12 What is $101,755 - $94,345? 4NS2.1 A $741 B $7,410 Rosa had $10.08. She spent $4.04 on a pair of earrings and $1.24 on a soft pretzel. How much money does Rosa have left? C $7,610 A $2.80 D $74,100 B $4.80 C $5.20 D $6.04 15 4NS3.1 13 What is the difference between the numbers below? 2,300 - 158 A 2,102 B 2,142 C 2,152 D 2,458 16 4NS2.1 14 4NS3.1 What is $1,410.10 - $275.10? What is 400 - 227? A 73 B 173 C 200 D 227 4MR1.1 17 Emilio has 245 coins. He can buy 50 more coins for $35. What information is not needed to figure how many coins he will have after buying the 50 coins? A $100.35 B $113.50 C $135.00 A how many coins he has now D $1,135.00 B how many coins he will buy C the cost of the coins he will buy D whether he is adding or subtracting from his collection Assessment Resources 4 4–37 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–37 11/30/07 1:59:58 AM Name Chapter 4 Test Date 4MR1.1 18 Henry has been in 18 ballet recitals. What other information is needed to calculate the total number of recitals given by the ballet company? A how many students in his class B how long each recital lasts C how many years he has done ballet D how many recitals he missed 4MR1.1 20 Mieko’s school has 24 classes and 360 students. What more does Mieko need to know to calculate the average number of students per class? A the number of teachers B the number of third graders C the number of principals D no other information 4MR1.1 19 Jason has 900 pieces of model railroad track. He uses 25 pieces for each loop of track. The pieces are 5 inches long. What is not needed to find out how many loops he will make? A the length of each piece of track B the number of pieces of track C the number of pieces per loop D how many pieces are in each loop Assessment Resources 4 4–38 Copyright © Houghton Mifflin Company. All rights reserved. 73784_C4_U2_CT.indd 4–38 11/30/07 2:00:14 AM Name Date Chapter 4 Test Individual Student Record Form Chapter 4 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. C 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 2. B 4NS3.1 3. B 4NS3.1 4. B 4NS3.1 5. A 4NS2.1 6. C 4NS2.1 7. B 4NS2.1 8. A 4NS2.1 9. C 4NS3.1 10. B 4NS3.1 11. B 4NS2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 12. B 4NS3.1 13. B 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers. 14. D 4NS2.1 15. B 4NS2.1 16. B 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers. 17. C 4MR1.1 18. D 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. 19. A 4MR1.1 20. D 4MR1.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. out of 20 4–39 Copyright © Houghton Mifflin Company. All rights reserved. 73784_IRF_C4_CT.indd 4–39 1/31/08 10:30:18 AM Teacher Name Date Chapter Test 4 Class Record Form Chapter 4 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. 4NS3.1 2. 4NS3.1 3. 4NS3.1 4. 4NS3.1 5. 4NS2.1 6. 4NS2.1 7. 4NS2.1 8. 4NS2.1 9. 4NS3.1 10. 4NS3.1 11. 4NS2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 12. 4NS3.1 13. 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 14. 4NS3.1 15. 4NS3.1 16. 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. 17. 4MR1.1 18. 4MR1.1 19. 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. 20. 4MR1.1 Groups for differentiated instruction Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multi digit numbers. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. 4–40 Copyright © Houghton Mifflin Company. All rights reserved. 73784_U2_C4_CRF_CT.indd 4–40 11/30/07 2:01:25 AM
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