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CHAPTER RESOURCES Chapter 9 Houghton Mifflin Harcourt Publishing Company Cover Image Credits: (Goosander) Erich Kuchling/Westend61/Corbis; (Covered bridge, New Hampshire) eye35/Alamy ImagesLength in Metric UnitsINCLUDES School-Home Letter Vocabulary Game Directions Daily Enrichment Activities Reteach Intervention for every lesson Chapter 9 Test Chapter 9 Performance Task Answer Keys andIndividual Record Forms
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ContentsSchool-Home Letter (English) . 9-1Chapter 9 School-Home Letter (Spanish) . 9-2Vocabulary Game . 9-39.1 Reteach . 9-59.1 Enrich . 9-69.2 Reteach . 9-79.2 Enrich . 9-89.3 Reteach . 9-99.3 Enrich . 9-109.4 Reteach . 9-119.4 Enrich . 9-129.5 Reteach . 9-139.5 Enrich . 9-149.6 Reteach . 9-159.6 Enrich . 9-169.7 Reteach . 9-179.7 Enrich . 9-18Chapter 9 Test . 9-19Chapter 9 Performance Task . 9-23Answer Keys . 9-28Individual Record Forms . 9-34Chapter Resources Houghton Mifflin Harcourt Publishing CompanyiiiTable of Contents
9ChapterDear Family,My class started Chapter 9 this week. In this chapter, I willlearn how to measure using centimeters and meters. I willalso solve problems about adding and subtracting lengths.Love,VocabularyHome Activitycentimeter Unit of lengthShow your child an object that is aboutten centimeters long. Have your childchoose three or four more objects andestimate each length as more than tencentimeters or less than ten centimeters.Use the object that is about tencentimeters long to check your child’sestimates.0123456centimetersmeter 100 centimetersLiteratureReading math storiesreinforces ideas.Look for these booksat the library.Chapter Resources Houghton Mifflin Harcourt Publishing CompanyHow Tall, How Short, LengthHow Far Away?by Henry Arthurby David Adler.Pluckrose.Holiday House, 2000. Children’s Press, 1995.9-1
9CapituloQuerida familia:Mi clase comenzó el Capítulo 9 esta semana. En estecapítulo, aprenderé a medir usando centímetros ymetros. También resolveré problemas de suma y resta delongitudes.Con cariño,VocabularioActividad para la casacentímetro unidad de longitudMuéstrele a su hijo un objeto de unosdiez centímetros de largo. Pídale queelija tres o cuatro objetos más y queestime el largo de cada uno en másde diez centímetros o en menos dediez centímetros. Use el objeto deunos diezcentímetros de largo paracomprobar las estimaciones de su hijo.0123456centímetrosmetro 100 centímetrosLiteraturaLeer cuentos dematemáticas refuerza losconceptos. Busque estoslibros en la biblioteca.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-2How Tall, HowShort, How FarAway?Lengthpor Henry ArthurPluckrose.por David Adler.Children’s Press,Holiday House, 2000. 1995.
Chapter 9Vocabulary GameGoing Places withWordsGo FishGameGameWord BoxFor 3 playersMaterials 4 sets of word cardsHow to Play1. Every player is dealt 5 cards. Put the restface-down in a draw pile.2. Ask another player for a word card to matcha word card you have. If the player has the word card, he or shegives it to you. Put both cards in front of you.Take another temetersum Houghton Mifflin Harcourt Publishing Company If the player does not have the word, he or sheanswers, “Go fish.” Take a card from the pile.If the word you get matches one you are holding,put both cards in front of you. Take another turn.If it does not match, your turn is over.3. The game is over when one playerhas no cards left. The player withthe most pairs wins.Chapter 9Chapter Resources Houghton Mifflin Harcourt Publishing Companysix hundred six9-3606AGame Directions
Lesson 9.1ReteachNameMeasure with aCentimeter Model12345678Place unit cubes on the squares.How many cubes long is the pencil?8 cubes long.—Each unit cube is about 1 centimeter long.The pencil isSo, the pencil is about8—centimeters long.Use a unit cube. Measure the length in tcentimeters2.3.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-5Reteach
Lesson 9.1EnrichNameCentimeter ClipsRead each problem. Use small paper clipsto measure. Each small paper clip is about3 centimeters long. Write your measurement.1. This is part of John’s toy train track.About how many centimeters long is s2. This caboose is from John’s collection.About how many centimeters long is it?3. John bought this engine for his train.About how many centimeters long is it?Writing and Reasoning Suppose an objectin your classroom is about 5 small paper clips long.About how many centimeters long is it?Chapter Resources Houghton Mifflin Harcourt Publishing Company9-6Enrich
Lesson 9.2ReteachNameEstimate Lengths inCentimetersThe ribbon is about 8 centimeters long. How can you findthe most reasonable estimate for the length of the string?1 centimeterribbon6 centimetersstring10 centimetersThink: 1 centimeter isnot reasonable becausethe string is muchlonger than 1 cube.Think: 10 centimeters isnot reasonable becausethe string is shorter thanthe ribbon.1. The rope is about 7 centimeters long. Circle thebest estimate for the length of the yarn.ropeyarn5 centimeters9 centimeters14 centimeters2. The pencil is about 10 centimeters long. Circle thebest estimate for the length of the ribbon.pencilribbon5 centimetersChapter Resources Houghton Mifflin Harcourt Publishing Company9 centimeters9-712 centimetersReteach
Lesson 9.2EnrichNameMeasure by HandMake an estimate. Then measure real objects.1. Use yourto measure.Estimate: — fingers2. Use yourActual: — fingersto measure.Estimate: — palms3. Use yourActual: — palmsto measure.Estimate: — fingersActual: — fingersWriting and Reasoning In Exercises 1–3, youused different parts of your hand as measurement units.Which unit was the best unit to use? Explain.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-8Enrich
Lesson 9.3ReteachNameMeasure with aCentimeter RulerLine up the left end of the ribbon with the zero mark on the ruler.Which centimeter mark is closest to the other end of the ribbon?012345678910centimetersThe ribbon is about7—centimeters long.Measure the length to the nearest Chapter Resources Houghton Mifflin Harcourt Publishing Company9-9Reteach
Lesson 9.3EnrichNameColorful VegetablesColor the vegetables that are 10 centimetersor longer yellow.Color the vegetables that are shorter than10 centimeters green.Writing and Reasoning If you lined up all thesame-color vegetables end to end in a row, which of thetwo rows would be longer? Explain.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-10Enrich
Lesson 9.4ReteachNameProblem Solving Add and Subtract LengthsChristy has a ribbon that is 12 centimeters long. Erinhas a ribbon that is 9 centimeters long. How manycentimeters of ribbon do they have altogether?Unlock the ProblemWhat do I need to find?how much ribbon they havealtogetherWhat information doI need to use?12Christy hascentimeters—of ribbon.Erin hascentimeters—of ribbon.9Show how to solve the problem.1290 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2512 9 nThey have21—centimeters of ribbon altogether.Write a number sentence using a nfor the missing number. Then solve.1. Lucas has one string that is 9 centimeters longand another string that is 8 centimeters long.How many centimeters of string are there in all?0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25— centimeters of string in allChapter Resources Houghton Mifflin Harcourt Publishing Company9-11Reteach
Lesson 9.4EnrichNameDiagram It YourselfUse the diagram. Write a problem aboutadding or subtracting lengths in centimeters.1.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25centimeters2.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25centimetersWriting and Reasoning How do additiondiagrams help you add two numbers? Explain.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-12Enrich
Lesson 9.5ReteachNameCentimeters and MetersYou can measure longerlengths in meters.1 meter is the same as100 centimeters.The real board is about 100 centimeters tall.So, the real board is about 1 meter tall.Measure to the nearest centimeter.Then measure to the nearest meter.Find the real etersmetersclassroom floor3.centimetersmetersChapter Resources Houghton Mifflin Harcourt Publishing Company9-13Reteach
Lesson 9.5EnrichNameMeters and CentimetersFind real objects that fit the clues.Measure each object. Use centimeters ormeters for the units. Then draw and label it.Find an object.Measure it.Draw and label it.1. I am shorter than10 �——2. I am longer than50 centimetersbut shorter thanone meter.3. I am longer thanone meter.Writing and Reasoning How much longer is theobject in Exercise 2 than the object in Exercise 1? Explain.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-14Enrich
Lesson 9.6ReteachNameEstimate Lengths in MetersEstimate the length of the chalk tray.The chalk tray is about the samelength as 2 meter sticks.So, the chalk tray is about2—meters long.Find the real object.Estimate its length in meters.1. windowabout — meters2. bookshelfVOL VOL VOL VOL VOL VOL1 2 3 4 5 6A B C D E Fabout — metersChapter Resources Houghton Mifflin Harcourt Publishing Company9-15Reteach
Lesson 9.6EnrichNameAt the ZooJanet, Ray, Molly, and Kyle went to the zoo.They estimated the lengths of things they saw.Circle the best estimate.1. Janet estimated how tall the ostrich was.Which is the best estimate?2 meters5 meters10 meters2. Ray estimated the length of a fox.Which is the best estimate?8 meters3 meters1 meter3. Molly estimated the length of an adult alligator.Which is the best estimate?1 meter3 meters9 meters4. Kyle estimated how tall the adult giraffe was.Which is the best estimate?6 meters3 meters1 meterWriting and Reasoning Think about an animalyou have seen. Describe how you would estimate itslength in meters.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-16Enrich
Lesson 9.7ReteachNameMeasure and CompareLengthsWhich object is longer? How much longer?1. Measure the leaf.9The leaf iscentimeters.2. Measure the stick.5The stick iscentimeters.3. Complete the number sentence to find the difference.9centimeters25centimeters4The leaf is54centimeterscentimeters longer than the stick.Measure the length of each object. Write a numbersentence to find the difference between the etersThe string isChapter Resources Houghton Mifflin Harcourt Publishing Company5centimeterscentimeters longer than the paper clip.9-17Reteach
Lesson 9.7EnrichNameLong and LongerFind the real objects. Measure the length ofeach object in centimeters. Then completethe sentence to describe the objects.1.Theiscentimeters.longer than the2.Theisthan the.centimeters shorter3.Thethan theiscentimeters longer.Writing and Reasoning Explain how you solved Exercise 3.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-18Enrich
Chapter 9 TestPage 1Name1. Susan uses unit cubes to measure the length ofthe yarn. Circle the number in the box that makesthe sentence true.The yarn is259centimeters long.2. The paintbrush is about 7 centimeters long. Gavinsays the feather is about 8 centimeters long. Raysays the feather is about 5 centimeters long.Which boy has the better estimate? Explain.*2 21Chapter Resources Houghton Mifflin Harcourt Publishing Company9-19Chapter 9 Test
Chapter 9 TestPage 2Name3. Alberto uses 8 centimeters of wire for a scienceproject. He uses another 15 centimeters of wirefor another project. How many centimeters ofwire does he use?Draw a diagram. Write a number sentence using a for the missing number. Then solve.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25Alberto usescentimeters of wire.4. Write the word that makes the sentence true.centimetersA pencil is 16meterslong.long.A swimming pool is 50A sidewalk is 2wide.wide.A computer keyboard is 42*2 21Chapter Resources Houghton Mifflin Harcourt Publishing Company9-20Chapter 9 Test
Chapter 9 TestPage 3Name5. Estimate the length of a real horse. Fill in thebubble next to all the sentences that are true.AThe horse is less than 1 meter long.BThe horse is less than 6 meters long.CThe horse is more than 3 centimeters long.DThe horse is about 6 centimeters long.EThe horse is about 3 meters long.6. Measure the length of each object. Does thesentence describe the objects? Choose Yes or No.centimeterscentimetersThe yarn is 3 centimeters longer thanthe crayon.YesNoThe crayon is 7 centimeters shorterthan the yarn.YesNoThe total length of the yarn and thecrayon is 17 centimeters.YesNoChapter Resources Houghton Mifflin Harcourt Publishing Company9-21*2 21Chapter 9 Test
Chapter 9 TestPage 4Name7. Elizabeth has a piece of ribbon that is 25centimeters long. She cuts off a piece of theribbon to use to wrap a gift. Elizabeth’s ribbon isnow 7 centimeters long. How many centimetersof ribbon did Elizabeth use to wrap the gift?Write a number sentence using a for themissing number. Then solve.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25Elizabeth usedcentimeters of ribbon.8. Measure the length of the rope to the nearestcentimeter. Circle the number in the box thatmakes the sentence true.The rope is about121315centimeters long.6723Chapter Resources Houghton Mifflin Harcourt Publishing Company9-22Chapter 9 Test
Chapter 9NameMaking a BirdhouseUse a centimeter ruler for items 1 and 2.1. Karl and Nisha are making a birdhouse.They aregoing to use nails that look like this.What is the length of the nail to the nearest centimeter?cm2. Karl and Nisha will use string to hang their birdhousefrom a tree. About how much longer is the top pieceof string than the bottom piece?cm longerChapter Resources Houghton Mifflin Harcourt Publishing Company9-23Chapter 9 Performance Task
3. Nisha uses a pencil to mark the wood for cutting.The paper clip is about 3 cm long. What is a goodestimate for the length of the pencil?The pencil is about cm long.4. Karl has a board that is 42 cm long. He saws 15 cmoff one end of the board. How long is the board now?17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42The board is centimeters long now.5. When the birdhouse is finished, Nisha and Karlwant to measure its height. Should they measurethe height of the birdhouse with a meter stick or acentimeter ruler?Explain your answer.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-24Chapter 9 Performance Task
Chapter 9Length in Metric UnitsMaking a BirdhouseCOMMON CORE STANDARDS2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers,yardsticks, meter sticks, and measuring tapes.2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters.2.MD.A.4 Measure to determine how much longer one object is than another, expressing thelength difference in terms of a standard length unit.2.MD.B.5 Use addition and subtraction within 100 to solve word problems involving lengths thatare given in the same units, e.g., by using drawings (such as drawings of rulers) andequations with a symbol for the unknown number to represent the problem.2.MD.B.6 Represent whole numbers as lengths from 0 on a number line diagram with equallyspaced points corresponding to the numbers 0, 1, 2, ., and represent whole-numbersums and differences within 100 on a number line diagram.PURPOSETo assess the ability to estimate, measure, and compare lengths in metric unitsTIME25–30 minutesGROUPINGIndividualsMATERIALS Performance Task, paper, pencil Centimeter rulersPREPARATION HINTS Review basic addition and subtraction facts with children before assigning the task. Review measurement concepts with children before assigning the task. Review vocabulary, including centimeter, meter.IMPLEMENTATION NOTES Read the task aloud to children and make sure that all children have a clear understanding ofthe task. Children may use manipulatives to complete the task. Allow children as much paper as they need to complete the task. Allow as much time as children need to complete the task. Children must complete the task individually, without collaboration. Collect all work when the task is complete.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-25Chapter 9 Performance Task
TASK SUMMARYChildren use rulers to measure lengths to the nearest centimeter. They determine whether certain objectsshould be measured in centimeters or meters. They add and subtract lengths given in centimeters, usingnumber lines as well as mental arithmetic.REPRESENTATIONIn this task, teachers can Provide options for comprehension by highlighting the relationships between centimeters andmeters.ACTION and EXPRESSIONIn this task, teachers can Provide options for executive functions by having children explain their plans or strategies forsolving the problems. Provide options for expression and communication by allowing children to give answers orally.ENGAGEMENTIn this task, teachers can Provide options for self-regulation by asking children to determine how much effort they putinto completing these tasks. Provide options for minimizing distractions by allowing children who need quiet to work inplaces away from the rest of the class.EXPECTED STUDENT OUTCOMES Complete the task within the time allowed Reflect engagement in a productive struggle Measure accurately with a centimeter ruler Add and subtract lengths expressed in centimeters Determine whether to use centimeters or meters to measure various objectsSCORINGUse the associated Rubric to evaluate each child’s work.Chapter Resources Houghton Mifflin Harcourt Publishing Company9-26Chapter 9 Performance Task
Performance Task RubricMAKING A BIRDHOUSEA level 3response Indicates that the child has made sense of the task andpersevered Includes accurate measurements of lengths Shows an understanding of which objects can best bemeasured in meters and which in centimeters Demonstrates an understanding of how to add and subtractwith metric units of lengthA level 2response Indicates that the child has made sense of the task andpersevered Includes accurate measurements of lengths Shows an understanding of which objects can best bemeasured in meters and which in centimeters Demonstrates an understanding of how to add and subtractwith metric units of length Addresses most or all aspects of the task, but there may beerrors of omissionA level 1response Shows that the child has made sense of at least someelements of the task Demonstrates difficulty in measuring lengths May show confusion about which objects to measure inmeters and which in centimeters May demonstrate difficulty in adding and subtractinglengths in centimetersA level 0response Shows little evidence that the child has made sense ofthe problems of the task Demonstrates an inability to measure lengths Shows confusion about which objects to measure in metersand which in centimeters May demonstrate an inability to use basic addition andsubtraction facts Shows little evidence of addressing the elements of the taskChapter Resources Houghton Mifflin Harcourt Publishing Company9-27Chapter 9 Performance Task
Chapter Resources Houghton Mifflin Harcourt Publishing Company9-28Answer Keycentimeters long. Houghton Mifflin Harcourt Publishing CompanyChapter Resources9-19the paintbrush. So, 8 centimeters is the better estimate.Gavin; Possible answer: The feather is a little longer thanWhich boy has the better estimate? Explain.says the feather is about 8 centimeters long. Raysays the feather is about 5 centimeters long.2. The paintbrush is about 7 centimeters long. GavinThe yarn is259the yarn. Circle the number in the box that makesthe sentence true.1. Susan uses unit cubes to measure the length ofNameChapter 9 TestPage 1Chapter 9 Test*2 2115Chapter 9 TestPage 223centimeters of wire.centimetersmeters Houghton Mifflin Harcourt Publishing CompanyChapter ResourcesA computer keyboard is 42A sidewalk is 2A swimming pool is 50A pencil is ong.meters4. Write the word that makes the sentence true.Alberto uses8 15 nChapter 9 Test*2 210 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 258Draw a diagram. Write a number sentence using a for the missing number. Then solve.project. He uses another 15 centimeters of wirefor another project. How many centimeters ofwire does he use?3. Alberto uses 8 centimeters of wire for a scienceName
Chapter Resources Houghton Mifflin Harcourt Publishing Company9-29Answer KeyThe horse is more than 3 centimeters long.The horse is about 6 centimeters long.CDChapter 9 TestPage 3 Houghton Mifflin Harcourt Publishing Company9-21NoYesThe total length of the yarn and thecrayon is 17 centimeters.Chapter ResourcesNoYesThe crayon is 7 centimeters shorterthan the yarn.NoYesChapter 9 Test*2 21centimeters7The yarn is 3 centimeters longer thanthe crayon.centimeters10sentence describe the objects? Choose Yes or No.6. Measure the length of each object. Does theThe horse is about 3 meters long.The horse is less than 6 meters long.BEThe horse is less than 1 meter long.Abubble next to all the sentences that are true.5. Estimate the length of a real horse. Fill in theName7Chapter 9 TestPage 418centimeters of ribbon. Houghton Mifflin Harcourt Publishing CompanyChapter ResourcesThe rope is about1213159-22centimeters long.centimeter. Circle the number in the box thatmakes the sentence true.8. Measure the length of the rope to the nearestElizabeth used25 7 Chapter 9 Test67230 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2525centimeters long. She cuts off a piece of theribbon to use to wrap a gift. Elizabeth’s ribbon isnow 7 centimeters long. How many centimetersof ribbon did Elizabeth use to wrap the gift?Write a number sentence using a for themissing number. Then solve.7. Elizabeth has a piece of ribbon that is 25Name
Sample Level 3 ResponseChapter Resources Houghton Mifflin Harcourt Publishing Company9-30Chapter 9 Performance Task
Sample Level 2 ResponseChapter Resources Houghton Mifflin Harcourt Publishing Company9-31Chapter 9 Performance Task
Sample Level 1 ResponseChapter Resources Houghton Mifflin Harcourt Publishing Company9-32Chapter 9 Performance Task
Sample Level 0 ResponseChapter Resources Houghton Mifflin Harcourt Publishing Company9-33Chapter 9 Performance Task
Child’s NameDateChapter 9 TestIntervene WithPersonalMath TrainerMeasure length using a centimeter model.R—9.12.MD.12.MD.A.3Estimate length in centimeters.R—9.22.MD.39.42.MD.A.4Relate addition to length and use a numberline diagram.R—9.42.MD.449.52.MD.A.2Select centimeters or meters as the correctunit for given measures.R—9.52.MD.159.62.MD.A.3Estimate length in meters.R—9.62.MD.369.72.MD.A.4Measure and compare lengths of e subtraction to length and use anumber line diagram.R—9.42.MD.5,2.MD.689.32.MD.A.1Measure length to the nearest .A.129.23Content FocusKey: R—ReteachChapter Resources Houghton Mifflin Harcourt Publishing Company9-34Individual Record Form
Any permitted use of Houghton Mifflin Harcourt trademarks and service marks inures to the benefit of Houghton Mifflin Harcourt Publishing Company. All other trademarks, service marks or registered trademarks appearing on Houghton Mifflin Harcourt Publishing Company websites are th
