Teacher’s Resource Masters - Pearson Education
Teacher’s Resource MastersNumber and Operations—FractionsDaily Common Core omISBN-13: 978-0-328-68793-0ISBN-10:0-328-68793-69780328 68793068793 CC TRM G4 T11-13.indd 4 Common Core5/2/11 2:47 PM
Teacher’s Resource MastersNumber and Operations—FractionsDaily Common Core ReviewReteachingPracticeEnrichment Common CoreGlenview, Illinois Boston, Massachusetts Chandler, Arizona Upper Saddle River, New JerseyMTH12 ANC4 TRM Tilte11.indd 130/07/11 12:09 AM
ISBN-13: 978-0-328-68793-0ISBN-10: 0-328-68793-6Copyright 2012 Pearson Education, Inc. or its affiliates.All Rights Reserved. This work is protected by United States copyright laws and isprovided solely for the use of teachers and administrators. For information regardingpermissions, write to Pearson Curriculum Group, Rights & Permissions, One Lake Street,Upper Saddle River, New Jersey 07458.1 2 3 4 5 6 7 8 9 10 V011 15 14 13 12 11Pearson, Scott Foresman, Pearson Scott Foresman, and enVisionMATH are trademarks,in the U.S. and/or other countries, of Pearson Education, Inc., or its affiliates.Common Core State Standards: Copyright 2010. National Governors Association Centerfor Best Practices and Council of Chief State School Officers. All rights reserved.MTH12 ANC4 TRM TOC11.indd 230/07/11 12:11 AM
DomainNumber and Operations—FractionsTopic 11 Fraction Equivalence and OrderingTopic 12 Adding and Subtracting Fractions and Mixed Numberswith Like DenominatorsTopic 13Extending Fraction ConceptsEach lesson has a Teacher Resource Master for DailyCommon Core Review, Reteaching, Practice and Enrichment.Topic 11 Fraction Equivalence and OrderingDaily Common Core Review (D), Reteaching (R),Practice (P) and Enrichment (E) 11-1 through 11-8Topic 12 A dding and Subtracting Fractions and Mixed Numberswith Like DenominatorsDaily Common Core Review (D), Reteaching (R),Practice (P) and Enrichment (E) 12-1 through 12-11Topic 13 Extending Fraction ConceptsDaily Common Core Review (D), Reteaching (R),Practice (P) and Enrichment (E) 13-1 through 13-10iMTH12 ANC4 TRM TOC11.indd 130/07/11 12:11 AM
iiMTH12 ANC4 TRM TOC11.indd 230/07/11 12:11 AM
Daily CommonCore ReviewName11-11. Juan has 216 beach balls. Eachbeach ball has 16 stripes. Howmany stripes are there in all?A 1,296B 2,160C 3,456D 4,5124. How many marbles are left if8 friends equally share a packageof 75 marbles?5. Roberto has 5 books. The numberof pages in each book are113, 152, 109, 122, and 131.Order the number of pages fromleast to greatest.2. Steve picked 72 apples at theorchard. He plans to give all theapples away to 8 friends. Howmany apples will each friend get?A 9B 8C 7D 66. There are 60 minutes in an hour.How many minutes are there in3 hours?3. Mental Math Mary is sharingstickers from her collection with 4of her friends. How many stickerswill each friend receive if Marydistributes a total of 36 stickers?A 40B 32C 12D 9D 11 1MTH12 ANC4 TRM D11 01.indd 1Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:48 PM
Daily CommonCore ReviewName11-21. K evin is putting his baseball cardsinto an album. He has 450 cardsand each page of the album holds9 cards. How many pages willKevin need if all 450 baseball cardsare going in the album?4. E stimation The population ofthe city that Andrew lives in is172,648. About how many peoplelive in Andrew’s city rounded tothe nearest thousand?A 50 pages5. W rite all the ways you canexpress 24 as the product of2 numbers.B 40 pagesC 25 pagesD5 pages2. T he population of Town A is15,729. Town B has a populationof 21,634. What is the totalpopulation of the two towns?6. R ita is making a necklace. Shehas 1 orange bead, 1 green bead,and 1 purple bead. How manypossible ways can Rita arrangethe beads?A 35,372B 36,799C 37,255D 37,3633. W endy has 8 kinds of seashellsin her collection. She has 122 ofeach kind of shell. How manyseashells does she have in her collection?7. Evaluate the expression for x 3.9 x11A 976B 866C 122D8D 11 2MTH12 ANC4 TRM D11 02.indd 77Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:49 PM
Daily CommonCore ReviewName11-31. W hich shape is split into 2 equalparts?4. M aria says 1, 2, 3, 4, 6, and 12are all of the factors of a number.What is the number?AB5. M r. Thompson counted the totalnumber of runners in the relayrace. Each team had the samenumber of runners. Completethe pattern to find the number ofrunners counted. Then write therule, and explain how you foundthe rule to complete the pattern.CD4 8 12 162. S hawn has a set of 125 marbles.He is organizing his marbles into5 equal groups. How many marblesshould he put in each group?A 10B 15C 20D 253. M ental Math Carla is 8 years old.Leo is 2 years younger than Carla.Katy is 6 years older than Leo.How old is Katy?A4B8C 12D 16D 11 3MTH12 ANC4 TRM D11 03.indd 35Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:49 PM
Daily CommonCore ReviewName11-41. W hich of these is the number200,601 in word form?4. P edro has started a car-washingbusiness. He charges 5 for eachcar he washes. On Saturday,Pedro washed 4 cars. OnSunday, he washed 7 cars. Howmuch money did Pedro earn alltogether?A T wo hundred thousand,six hundred oneB Two hundred six thousand, oneC T wenty thousand, six hundredoneD Two thousand, six hundred one5. Z ak takes 3 steps for every2 steps Rich takes. How manysteps will Zak take if Rich takes 18 steps? Explain how you foundthe answer. Make a table to help.2. I sabel walked 1,357 steps toget to school. Harold walked 935 steps to get to school. Howmany more steps did Isabel walk?A 492B 422C 392D 1223. M ental Math Carl cut a 30-footrope into 6-foot sections. Howmany 6-foot sections will Carlhave?A 5B 4C 3D 2D 11 4MTH12 ANC4 TRM D11 04.indd 41Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:50 PM
Daily CommonCore ReviewName11-51. Gina buys 14 of a yard of materialto make a pillow. Which fraction isequivalent to 14 ?3. How many sides does aquadrilateral have?4 A 84. Let N be a whole number that isless than 100,000. Also, N hasa 3 in the tens place and a 5 inthe thousands place. What is thegreatest possible value of N?3 B 82 C 81 D 82. What fraction of these balls havestripes?5. Estimation Round 5,708 to thenearest ten.1 A 41 B 31 C 23 D 4D 11 5MTH12 ANC4 TRM D11 05.indd 43Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:50 PM
Daily CommonCore ReviewName11-61. Look at the model.4. Estimation Estimate the product9 3 231. Show your work.Which fraction is shown bythe model?5. The numbers 25, 30, 35, 40 are allmultiples of what number?A 14 B 13 C 23 6. Marsha’s school has 345 students.If all the students are separatedinto 5 equal groups, how many arein each group?D 34 2. Janelle and Howard combinedall their pennies. Janelle had213 pennies, and Howard had468 pennies. How many penniesdid they have in all?ABCD7816816712553. Where would placing the number 3make the number sentence true?A 15 4 5B 42 445CD 27 45575953D 11 6MTH12 ANC4 TRM D11 06.indd 65Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:53 PM
Daily CommonCore ReviewName11-71. Which digit is in the thousandsplace in the number 661,239?A 9B 6C 3D 12. The two trays of pizza below showthe amount of pizza left after thefourth-grade party.Pepperoni4. Complete the fact family below.6 35 483 6 5 48465848 458Tell what information is not needed.Then, solve the problem.5. A farmer sells 12 dozen eggs to themarket. She sells each dozen for 1. How many eggs does she sellto the market?MushroomWhich of the following comparesthe amount of pepperoni pizza leftover to the amount of mushroompizza left over?4 10 A 25 .2B 10 , 45 4C 25 5 10 4D 10 . 25 6. In January of 2007, Mr. Edwardsturned 64 years old. In what yearwas Mr. Edwards born?3. The model is shaded to representa fraction.Which fraction below shows thefraction represented by the modelin simplest form?A 13 B 14 1C 10 1D 12 D 11 7MTH12 ANC4 TRM D11 07.indd 71Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:50 PM
Daily CommonCore ReviewName11-81. Where would placing the number13 make the number sentencetrue?A 43355 115B 533 12 5 168C5 195D 15 32. What number on the number linedoes point H best represent?H16A 18B 19C 21D 22225. What fraction of the triangles areshaded?6. Compare. 7 5 687. Estimation Look at the chartbelow. About what fraction ofthe goal have the fund-raisersreached?3. There are 63 students in theschool band. At a band concert,Jerome saw that equal numbersof band members were seated in3 different sections. How manyband members were seated ineach section?A 21B 14C 7D 3 100 200 300 400 5008. Estimation Round 1,249 to thenearest hundred.4. Look at the model.Which fraction is shown by theshaded part of the model?C 1 A 1 81 B 6MTH12 ANC4 TRM D11 08.indd 774D 1 2D 11 8Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 429/07/11 11:50 PM
ReteachingName11-1FactorsWhen multiplying two numbers, you know that both numbersare factors of the product.Example 1Example 2Find the factors of 24.Find the factors of 16.FactorsWhat two numbers multiply together toequal 16?1234Product3 24 5 243 12 5 243 8 5 243 6 5 24124816Factors of 24:1, 2, 3, 4, 6, 8, 12, and 243 16 5 163 8 5 163 4 5 163 2 5 163 1 5 16Factors of 16: 1, 2, 4, 8, and 16List all the factors of each number.1. 184. 142. 213. 115. 236. 337. Number Sense Irene wants to list all of the factors for thenumber 42. She writes 2, 3, 6, 7, 14, 21, and 42. Is shecorrect? Explain.R 11 1MTH12 ANC4 TRM R11 01.indd 74Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 412/20/11 3:34 PM
ReteachingName11-2Prime andComposite NumbersA composite number is a whole number greater than1 that has more than two different factors. 15 has fourdifferent factors, 1, 3, 5, and 15, so 15 is a composite number.A prime number is a whole number greater than 1 thathas exactly two factors, itself and 1. 17 has exactly twofactors, 1 and 17, so 17 is a prime number.Example 1Example 2Is 7 a prime or composite number?Is 6 a prime or composite number?Find all the factors of 7.Find all the factors of 6.Factors of 7: 1, 7Factors of 6: 1, 2, 3, 61 and 7 divide evenly into 7.1, 2, 3, and 6 divide evenly into 6.7 is a prime number because it onlyhas two factors, the number itselfand 1.6 is a composite number because ithas more than two factors.Tell if the number is prime or composite.1. 52. 123. 185. 376. 434. 15R 11 2MTH12 ANC4 TRM R11 02.indd 80Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:06 AM
ReteachingName11-3MultiplesYou can use a multiplication table to help find some multiplesfor numbers. 1 2 3 4What are some multiples of 5?Step 1 Find the column for 5.Step 2 All the numbers in thatcolumn are multiples of 5.Tip You could use the row for5 instead of the column for 5.In the chart, the multiples of 5 are5, 10, 15, 20, 25, 30, 35, 40, and 45.56789567891123422468 10 12 14 16 183369 12 15 18 21 24 27448 12 16 20 24 28 32 3655 10 15 20 25 30 35 40 4566 12 18 24 30 36 42 48 5477 14 21 28 35 42 49 56 6388 16 24 32 40 48 56 64 7299 18 27 36 45 54 63 72 81In 1 through 8, write five multiples of each number.1. 32. 73. 94. 25. 16. 87. 68. 4In 9 through 12, tell whether the first number is a multiple ofthe second number.9. 18, 310. 24, 611. 32, 712. 12, 413. Number Sense What number has 12, 24, and 30 asmultiples? Explain how you found your answer.R 11 3MTH12 ANC4 TRM R11 03.indd 38Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:06 AM
ReteachingName11-4Equivalent FractionsIf two fractions name the same amount, they are calledequivalent fractions.Use multiplication to write a fraction equivalent to 1 .2Multiply the numerator and denominator by the same number.33 1 25 3 633threetimesas manypartsin allthreetimesas manyshadedparts 3 are equivalent fractions. 1 and26 10 .Use division to write a fraction that is equivalent to12Think of a number that is a factor of both 10 and 12. Two is a factorof 10 and 12. Divide the numerator and the denominator by 2.42 10 125 5 6 5 are equivalent fractions. 10 and12642Find the missing number.1 5 1. 4892. 5 1242 5 3. 4. 45 5 1 57. 8. 3 53610Multiply to find an equivalent fraction.5. 1 541 56. 264Divide to find an equivalent fraction.9. 8 5910. 54 511. 12. 2 513. 4 5514. 5815. 5616. 512101210810R 11 4MTH12 ANC4 TRM R11 04.indd 4468Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:09 AM
ReteachingName11-5Number Lines andEquivalent FractionsWrite two equivalent fractions that name the point on the number line.01Step 1 Count the number of tickmarks from 0 to 1.On this number line, there are 12.That tells you the denominator ofone fraction is 12.Step 2 Count the number of tickmarks from 0 to where thepoint is.Step 3 12 is an even number, soit can be divided by 2.12 4 2 5 6There are 8. That tells you thenumerator of the fraction is 8.You now know one fraction that8 .names the point is 12If you count every second tickmark from 0 to 1, you will count6 tick marks. The denominator ofanother fraction is 6.Now, count every second tickmark from 0 to the location ofthe point. There are 4, so thenumerator of the fraction is 4. An8 is 4 .equivalent fraction to 1264 8 5 126Write two fractions that name the point on the number line.1.012.013 and 3 equivalent fractions? Draw a number line to3. Draw a Diagram Are 84show your answer.R 11 5MTH12 ANC4 TRM R11 05.indd 39Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:07 AM
ReteachingName11-6Comparing FractionsLeanne wanted to compare }46} and }34}. She used fraction stripsto help.1616144634She compared the amounts that were shaded in each picture.Because the amount shaded in }34} is more than the amountshaded in }46}, she knew that }34} is greater than }46}.So, }34} . }46}.Write . or , for eachfractions to help.1.}5}65. 78 . Use fraction strips or benchmark}2}32.}1}5}2}83.}9}10}5}106.}2}5}2}67. 13 }6}84.}3}4 38 8.}2}10}1}4}3}5The same number of students attended school all on of studentsbuying lunch}1}2}2}5}3}4}5}8}4}69. Did more students buy lunch on Tuesdayor on Wednesday? 10. Did more students buy lunch on Thursdayor on Friday? R 11 6MTH12 ANC4 TRM R11 06.indd 68Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:08 AM
ReteachingName11-7Ordering FractionsHow can you order fractions?7Order 23 , 16 , 12 from least to greatest. 1 13 3 16 1 12 1 1 61 121 12 13 1 61 121 12 1 61 121 12 1 61 121 1261 121 121 12Find equivalent fractions with a common denominator. 1 121 12 1 121 121 121 121 121 121 121 121 121 121 121 121 121 121 12Compare the numerators.Order the fractions from least to greatest.827 , 12 , 12 . 12Order the fractions from least to greatest.3, 36 , 25 1. 1032. 38 , 13 , 12 11 1 1010 1 612 1 5 1 11 1 1012 1 5 1 6123 1 1 6 1 88 1 8Find equivalent fractions with a common denominator and order from leastto greatest.3. 12, 34 , 46 4. 34 , 23 , 78 35. 10 , 12 , 45 36. 12 , 10 , 35 7. 23 , 56 , 12 8. 58 , 34 , 38 R 11 7MTH12 ANC4 TRM R11 07.indd 74Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:07 AM
ReteachingName11-8Problem Solving:Writing to ExplainGina and her brother Don made homemade pasta with theirmother. Gina made }14} of a pan of pasta. Don made }38} of a pan.Which person made more pasta?Writing to ExplainExample Write your explanation in steps tomake it clear. Because 4 and 8 have different Tell what the numbers mean in yourexplanation. Tell why you took certain steps.13denominators, I multiplied the numerator12and denominator of 4 by 2 to get 8 . T hen I could compare the numerators of 82 332and 8 . Because 8 is greater than 8 I knewthat Don made more pasta.1. Rick has a collection of 6 video games. He lets his bestfriend borrow 26 of his video game collection. Write twofractions equivalent to this number. Explain how you cameup with the fractions.R 11 8MTH12 ANC4 TRM R11 08.indd 80Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:07 AM
PracticeName11-1FactorsFor 1 through 12, find all the factors of each number.1. 542. 173. 284. 315. 446. 477. 778. 719. 6510. 2311. 5712. 2413. Karl’s mother buys 60 party favors to give out as gifts duringKarl’s birthday party. Which number of guests will NOT let herdivide the party favors evenly among the guests?A 12B 15C 20D 2514. Writing to Explain Mrs. Fisher has 91 watches on displayat her store. She says she can arrange them into rows andcolumns without any watches left over. Mr. Fisher says thatshe can only make 1 row with all 91 watches. Who is rightand why?P 11 1MTH12 ANC4 TRM P11 01.indd 75Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:01 AM
PracticeName11-2Prime andComposite NumbersIn 1 through 16, write whether each number is prime or composite.1. 812. 435. 539. 8813. 3,2358. 2711. 6914. 1,2124. 637. 310. 196. 873. 57212. 7915. 5716. 1717. Mr. Gerry’s class has 19 students, Ms. Vernon’s class has 21 students,and Mr. Singh’s class has 23 students. Whose class has a compositenumber of students?18. Every prime number greater than 10 has a digit in the onesplace that is included in which set of numbers below?A 1, 3, 7, 9C 0, 2, 4, 5, 6, 8B 1, 3, 5, 9D 1, 3, 719. Writing to Explain Marla says that every number in thenineties is composite. Jackie says that one number in thenineties is prime. Who is correct? Explain your answer.P 11 2MTH12 ANC4 TRM P11 02.indd 81Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:01 AM
PracticeName11-3MultiplesIn 1 through 8, write five multiples of each number.1. 52. 33. 74. 45. 96. 27. 68. 8In 9 through 16, tell whether the first number is a multiple of thesecond number.9. 21, 710. 28, 311. 17, 312. 20, 413. 54, 914. 15, 515. 26, 416. 32, 817. Circle the number in the box that is a multiple of 8.101820243118. Number Sense List five multiplesfor 3 and five multiples for 4. Thencircle the common multiples.3619. Reasoning What number hasfactors of 2 and 3 and multiples of12 and 18?20. What are five multiples of 9?A 9, 19, 29, 39, 49 B 9, 18, 27, 36, 45 C 1, 3, 9, 18, 27 D 1, 9, 18, 27, 3621. Carmen listed the multiples of 6 as 1, 2, 3, and 6.Is she correct? Explain why or why not.P 11 3MTH12 ANC4 TRM P11 03.indd 39Copyright Pearson Education, Inc., or its affiliates. All Rights Reserved. 430/07/11 12:00 AM
PracticeName11-4Equivalent FractionsFind the missing number. 1. 1 2 1262. 5 3. 3 410124. 45 10Find an equivalent fraction.26. 1 5. 67. 12268. 1089. 81210. Is 2 equivalent to 37 ?1411. In Mark’s collection of antique bottles, 1 of the bottles2are dark green. Write three equivalent fractions for 1 .212. Write a pair of equivalent fractions for the picture below.13. At the air show, 1 of the airplanes were gliders.31 ?Which fraction is an equivalent fraction for 4 A 62 B 1234C 123D 6314. In Missy’s sports-card collection, of the cards are baseball48cards. In Frank’s collection, are baseball cards. Frank say
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Glencoe/McGraw-Hill iv Glencoe Algebra 1 Teacher’s Guide to Using the Chapter 1 Resource Masters The Fast File Chapter Resource system allows you to conveniently file the resources you use most often. The Chapter 1 Resource Masters includes the core materials needed for Chapter 1. These materials include worksheets, extensions, and assessment options.
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MOSARIM No.248231 2012-12-21 File: D.6.1.1.final_report_final.doc 8/21 from Frost&Sullivan, ABI research and Techno Systems Research overall market penetration and percentage of newly radar equipped vehicles per year were forecasted until 2020, as shown in Figure 7. It has to be noted that the given numbers are not necessarily in agreement
