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Lesson 1NameNumbers to Ten ThousandComplete the packing chart. Use the fewest packages possible.When there is a zero, use the next smaller size package.Number ofCratesBoxesCasesStacks Single BlocksBlocks Ordered (Ten Thousands) (Thousands) (Hundreds) 149210022,351007.5,008008.4,976007ProblemProblem SolvingSolving Houghton Mifflin Harcourt Publishing Company9. A worker at the block factory packed10. Matt needs to pack an order for 1,816blocks in 3 boxes of 1,000, 4 cases of100, and 9 single blocks. How manyblocks did the worker pack?blocks. How can Matt pack the blockswithout using boxes of 1,000?Getting Ready for Grade 4GRP1

Lesson 2NameRead and Write Numbers toTen ThousandsWrite the number in standard form.2,6351. 2,000 600 30 52. five thousand, three hundred sixty3. 8,000 800 90 94. one thousand, fifty-one5. three thousand, six hundred nineWrite the value of the underlined digit two ways.6. 5,8967. 4,4928. 1,3509. 3,41310. Rename 4,180 as hundreds and tens.hundreds tens11. Rename 7,168 as tens and ones.tens ones Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving12. The population of a town is4,951 people. What is the valueof the digit 4 in the number?13. The number of tourists who visiteda national park in one day was ninethousand, four hundred twelve. Writethis number in two other ways.Getting Ready for Grade 4 GRP2

Lesson 3NameRelative Size on a Number LineFind the number represented by the point.1.0A507 tens is 7010070B2.05001,000ProblemProblem SolvingSolvingFor 3–4, use the number line below.Colin and Sophia score points in a game.They show their score on a number line.D05,00010,0003. Colin’s score is shown by point D on the number line. Houghton Mifflin Harcourt Publishing CompanyHow many points has he scored?4. Sophia scored 3,000 points more than Colin.Draw a point on the number line to show Sophia’sscore. What is her score?Getting Ready for Grade 4 GRP3

Lesson 4NameCompare 3- and 4-Digit NumbersCompare the numbers. Write , , or in the.1. 576 5672. 9,8769,8863. 4904094. 7,2457,2459,0345. 2,1452,2456. 9,3047. 8,6918,6918. 2459. 1,80780710. 5,2475,24711. 3,4853,54812. 1,9539,35113. 6,3106,31014. 58915. 76017. 7,6451,7607,5462545,89016. 5,1235,32118. 5,6125,622ProblemProblem SolvingSolving19. On Saturday, 4,567 people saw the new animal movie. Houghton Mifflin Harcourt Publishing CompanyOn Sunday, 4,078 people saw the movie. Use , , or to compare the number of people who saw the movie onthe two days.20. Captain Fry flies 1,764 miles. Captain Hale flies764 miles. Who flies more miles?21. Adam says he is 1,352 millimeters tall. Bobby says thathe is 1,452 millimeters tall. Who is shorter?Getting Ready for Grade 4 GRP4

Lesson 5NameMultiply with 11 and 12Find the product.991. 9 112. 12 9 3. 1 114. 2 11 5. 12 06. 5 117. 7 128. 4 11 9. 12 410. 8 11 11. 3 1212. 9 12Think: 9 10 90 and9 1 9So, 9 11 90 9 99.ProblemProblem SolvingSolvingUse the table for 13–14.Supplies13. Mr. Wang buys 6 packs of pencils. How manyItempencils does Mr. Wang buy? Houghton Mifflin Harcourt Publishing CompanyPencils14. Mr. Wang buys 12 packs of pens and 11 packsNumber inEach Pack12Pens8Erasers9of erasers. Does Mr. Wang buy more pens orerasers? Explain.Getting Ready for Grade 4 GRP5

Lesson 6NameDivide with 11 and 12Find the unknown factor and quotient.1. 11 888 3. 12 p 3688 11 2. 11 558 36 12 pp 4. 12 g 84g p 55 11 84 12 gg Find the quotient.5. 96 86. 44 4 7. 60 58. 55 5 9. 66 610. 48 411. 72 6 12. 88 8 13. 108 914. 12 115. 24 216. 33 3 Compare. Write , , or for each Houghton Mifflin Harcourt Publishing Company17. 60 1255 1118. 22 2.48 419. 96 884 12ProblemProblem SolvingSolving20. Mrs. Green bought 72 pencils for herclass. There were 12 pencils in eachbox. How many boxes of pencils didMrs. Green buy?21. Henry baked 33 cookies. He put thesame number of cookies in each of11 bags. How many cookies did he putin each bag?Getting Ready for Grade 4GRP6

ALGEBRANameLesson 7Multiplication and DivisionRelationshipsComplete the related multiplication and divisionequations.1. 4 12 1248 48484 12 8 11 8 Houghton Mifflin Harcourt Publishing Company 12 8 36 36 12 12 66. 4 11 11 4436 3 44 1136 12 44 11 11 228. 1272 55. 3 12 8 9696 55 8 887. 8 12 12 723. 6 72 5 11 12 488 5511 5 4 48 11 884.2. 5 9. 1 11 2 22 22 11 12 1 12 11 1 1212 1ProblemProblem SolvingSolving10. Lisa put 66 flowers in vases. She putthe same number of flowers in eachof 6 vases. How many flowers did Lisaput in each vase?11. Lisa used 84 flowers to makebouquets. She used 7 flowers in eachbouquet. How many bouquets didLisa make?Getting Ready for Grade 4 GRP7

Lesson 8NameUse Multiplication PatternsUse a basic fact and a pattern to find the products.303003 100 3 1,000 3,0001. 3 10 4. 10 6 2. 10 2 100 2 8 100 1,000 2 8 1,000 5. 5 10 100 6 1,000 6 Find the product.7. 10 3 3. 8 10 6. 10 7 5 100 100 7 5 1,000 1,000 7 8. 9 100 9. 6 10010. 1,000 9 11. 5 1012. 4 100 13. 2 1014. 1,000 115. 7 1,000 ProblemProblem SolvingSolvingUse the picture graph for 16–17.16. How many rocks does Eva have? Explainhow you found your answer.Rock CollectionsNameNumber of RocksEva Houghton Mifflin Harcourt Publishing CompanyTimSam17. Sam has 30 more rocks in his collection thanKey: Each5 10 rocks.Tim. Draw rocks in the picture graph to showthe number of rocks in Sam’s collection.Explain your answer.Getting Ready for Grade 4 GRP8

Lesson 9NameUse Models to Multiply Tens and OnesFind the product. Show your multiplication and addition.1.2.3 15 2 14 3 10 303 5 1530 15 454.5.5 14 7.4 11 6.6 13 8.4 17 Houghton Mifflin Harcourt Publishing Company3.6 15 9.4 16 5 16 ProblemProblem SolvingSolving10. Mia babysits for 4 an hour. How much moneydoes she earn if she works for 12 hours?Getting Ready for Grade 4 GRP9

Lesson 10NameModel Division with RemaindersComplete.1. Divide 15 hats into2. Divide 50 forks into4 equal groups.6 equal groups.3 hats in eachThere areThere are forks in each3 hats left over.group andgroup and forks left over.3. Divide 29 cookies into4. Divide 46 paper cups intogroups of 3.groups of 5.There are groupsThere are groupsand cookies left over.and paper cup left over.Find the total number of objects.5. There are 8 books in each of6. There are 7 muffins in each of3 groups and 4 books left over.5 groups and 1 muffin left over.There are books in all.There are muffins in all.ProblemProblem SolvingSolvingUse the bar graph for 7–8. Houghton Mifflin Harcourt Publishing Companyshelves, how many shells will be on each shelf?How many shells will be left over?8. If Sarah puts an equal number of tan shells intosome boxes and has 1 shell left over, how manyboxes will she use? How many shells will be ineach box?Shell CollectionNumber of Shells7. If Sarah divides the white shells evenly onto 214121086420ehitWayGrnTaColorGetting Ready for Grade 4GRP10

Lesson 11NameUse Models to Divide Tens and OnesUse base-ten blocks and your MathBoard to divide.151. 60 4 2. 65 5 3. 54 3 4. 90 5 5. 74 2 6. 98 7 7. 75 5 8. 60 3 9. 78 6 10. 84 4 11. 96 6 12. 95 5 Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving13. The third-grade students collected 90 cans of food for afood drive. They want to put an equal number of cansinto each of 6 boxes. How many cans will they put intoeach box?Getting Ready for Grade 4 GRP11

Lesson 12NameModel Tenths and HundredthsWrite the fraction that names the shaded part.1.2.3.4.6.7.8.2105. Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving9. Pedro spins the pointer of a spinner10 times. The pointer lands on thecolor blue 7 times. Write a fraction torepresent the part of Pedro’s spins thatwere blue.10. Anya asks 100 students if they walk to83 say theyschool. Of the students,100walk to school. How many studentswalk to school?Getting Ready for Grade 4 GRP12

Lesson 13NameFractions Greater Than OneEach shape is 1 whole. Write a mixednumber for the parts that are shaded.1.2.2123.4.5.6. Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving7. Rachel and her friends eat 54 pizzas.How can you write the amount ofpizza they ate as a mixed number?8. Ms. Fuller has 83 pies left over from herparty. How can you write the numberof pies she has left over as a mixednumber?Getting Ready for Grade 4 GRP13

Lesson 14NameEquivalent FractionsUse models to find the equivalent fraction. Houghton Mifflin Harcourt Publishing Company21 1.5 102 2.8 41 3.6 122 4.4 21 5.3 123 6.6 121 7.2 102 8.3 6ProblemProblem SolvingSolving9. Jamie uses 13 of a package of juiceboxes. There were 6 juice boxes inthe package to start with. Write thefraction of the package Jamie usedin sixths.10. Luis colors 14 of a spinner using ared crayon. Write the fraction of thespinner Luis colored red in twelfths.Getting Ready for Grade 4 GRP14

Lesson 15NameEquivalent Fractions on aMultiplication TableUse a multiplication table to find threeequivalent fractions.11.212.52, 3, 44 6 813.1024.325.826.537.108. 56 Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving9. Nicki eats 14 of a cereal bar. Whatare three equivalent fractions thatname the part of the cereal bar thatNicki eats?10. In a crate of apples, 35 of the applesare green apples. What are threeequivalent fractions that name thepart of the apples in the crate thatare green?Getting Ready for Grade 4 GRP15

Lesson 16NameSame Size, Same ShapeLook at the first shape. Tell if it appears to have the same sizeand shape as the second shape. Write yes or no.1.2.no3.4. Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving5. Juanita draws the rectangles shown.Do the rectangles have the samesize and are they shaped the same?Explain.Getting Ready for Grade 4 GRP16

ALGEBRANameLesson 17Change Customary Units of LengthDraw a picture.1. Rename 3 feet using inches.36 inches3 feet 2. Rename 5 feet using inches.5 feet inches3. Draw a number line. Rename 8 feet using inches.8 feet inches Houghton Mifflin Harcourt Publishing Company4. Use the number line. Rename 9 feet using inches.9 feet inchesProblemProblem SolvingSolving5. Robbie has a piece of rope that is6 feet long. How many inches long isthe rope?6. A fence is 4 feet tall. How many inchestall is the fence?Getting Ready for Grade 4GRP17

ALGEBRANameLesson 18Change Metric Units for LengthComplete the : To find the number of centimeters,add 100 centimeters for each meter.2.MetersCentimeters676007009800Find the unknown number.3. 1 meter centimeters4. 5 meters centimeters5. 4 meters centimeters6. 8 meters centimeters7. 3 meters centimeters8. 7 meters centimeters9. 2 meters centimeters10. 6 meters centimeters11. 9 meters centimeters12. 10 meters centimeters Houghton Mifflin Harcourt Publishing CompanyProblemProblem SolvingSolving13. Ben paints 5 meters of fence beforestopping for lunch. Then he paints3 more meters of fence. How manycentimeters of fence does Ben paintin all?14. Dana needs 6 meters of ribbonto make bows. She has 160centimeters of ribbon. Does Danahave enough ribbon to make thebows? Explain.Getting Ready for Grade 4 GRP18

Lesson 19NameEstimate and Measure Liquid VolumeChoose the unit you would use to measure the amount of liquid thecontainer will hold. Choose the better unit of measure.1. a bath tub: 40 cups or 40 gallons2. a drinking mug: 1 cup or 1 quart3. a soup bowl: 2 cups or 2 quarts4. a water bucket: 1 cup or 1 gallonProblemProblem SolvingSolving5. Jay made 4 quarts of fruit juice.milk into cups. How many cupswill she fill? Houghton Mifflin Harcourt Publishing CompanyHow many cups of fruit juice didhe make?6. Vanessa will pour 2 gallons ofGetting Ready for Grade 4GRP19

Lesson 20NameEstimate and Measure WeightChoose the unit you would use to measure the weight.Write ounce or pound.1.2.3.4.5.6.7.8.9. Houghton Mifflin Harcourt Publishing CompanypoundProblemProblem SolvingSolving10. Scott picks some apples to use for abatch of applesauce. Which is a morelikely weight for the apples he picks, 5ounces or 5 pounds?11. Ms. Mott measures some sugar tomake muffins. Does the sugar weigh 4ounces or 4 pounds?Getting Ready for Grade 4 GRP20

blocks in 3 boxes of 1,000, 4 cases of 100, and 9 single blocks. How many blocks did the worker pack? _ _ _ 10. Matt needs to pack an order for 1,816 blocks. How can Matt pack the blocks without using boxes of 1,000? _ _ _ Getting Ready for Grade 4 GRP1 Number of Blocks Ordered Cra

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