Grade 4 Mathematics - Framework

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Grade 4 MathematicsStudent At-Home Activity PacketThis At-Home Activity Packet includes 23 sets of practice problems that align toimportant math concepts your student has worked with so far this year.We recommend that your student completes one page of practice problems each day.Encourage your student to do the best they can with this content—the mostimportant thing is that they continue developing their mathematical fluency and skills.See the Grade 4 Mathconcepts covered inthis packet! 2020 Curriculum Associates, LLC. All rights reserved.

Grade 4 Math concepts covered in this packetConceptUnderstanding Place ValueAdding and SubtractingWhole NumbersMultiplying WholeNumbersPracticeFluency and Skills Practice1Understanding of Place Value. 32Comparing Multi-Digit Numbers. 53Rounding Whole Numbers. 64Using Strategies to Add. 75Using the Standard Algorithm to Add Greater8Numbers.6Using Strategies to Subtract. 107Using the Standard Algorithm to Subtract11Greater Numbers.8Multiplication in Word Problems. 129Modeling Multi-Step Problems. 1310Solving Multi-Step Problems. 141112Multiplying a Three-Digit Number by a One15Digit Number.Multiplying a Four-Digit Number by a One-Digit16Number.13Multiplying by Two-Digit Numbers. 1714Division in Word Problems. 1915Dividing with Arrays and Area Models. 2016Dividing with Estimation and Area Models. 2117Dividing Four-Digit Numbers. 2318Understanding of Equivalent Fractions. 2419Using Common Numerators and Denominators. 2520Understanding of Fraction Addition and26Subtraction.21Adding Fractions. 2822Subtracting Fractions. 2923Decomposing Fractions. 31Dividing Whole NumbersUnderstanding FractionsAdding and SubtractingFractions 2020 Curriculum Associates, LLC. All rights reserved.

Fluency and Skills PracticeUnderstanding of Place ValueName:Set A1 Write the number 78,215 in the place-value sTensOnesTensOnesWrite 78,215 in expanded form and word form.2 Write the number 540,632 in the place-value sWrite 540,632 in expanded form and word form.Set B3 Show different ways to make 25,302.thousands 1hundreds 1hundreds 1onesonesones4 Show different ways to make 708,496.hundred thousands 1tens 1onesthousands 1hundreds 1 Curriculum Associates, LLCthousands 1hundreds 1tens 1hundreds 1tens 1onesonesCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.3

Fluency and Skills PracticeUnderstanding of Place Value continuedName:Set B continued5 Show different ways to make 492,623.ten thousands 1tens 1onesthousands 1hundreds 1thousands 1tens 1hundreds 1onesones6 Write 841,620 in three different ways.7 Why do both of these show 27,974?20,000 1 7,000 1 900 1 70 1 4 Curriculum Associates, LLC27 thousands 1 97 tens 1 4 onesCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.4

Fluency and Skills PracticeComparing Multi-Digit NumbersName:Set AWrite the symbol that makes each statement true. Use ., ,, or 5.1 23,2302,3232 33,00333,0303 9,9994 40,40440,0405 52,17752,7716 421,07310,000412,730Set B7 Circle all the numbers that are less than 5,000108,430108,4208 Circle all the numbers that are less than 45,763.46,00040,00050,00045,7009 Circle all the numbers that are greater than 108,427.108,000108,400108,500109,00010 How did you solve problem 7? Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.5

Fluency and Skills PracticeRounding Whole NumbersName:Round each number to the nearest ten.1 722 1723 2,5724 101,372Round each number to the nearest hundred.5 1806 1,1807 56,1808 9809 1,98010 56,980Round each number to the nearest thousand.11 7,75012 17,75013 25,75014 70,750Round each number to the nearest ten thousand.15 65,32116 165,32117 185,32118 205,32119 Round 307,451 to each place value given below.to the nearest thousand:to the nearest hundred:to the nearest ten: Curriculum Associates, LLC 2020LLC. All rights reserved.Copying is permittedforCurriculumclassroom Associates,use.6

Fluency and Skills PracticeUsing Strategies to AddName:Add using different strategies.14,0001 6,21524,0101 6,21534,1211 6,21543,0001 6,87152,9991 6,87162,9901 6,87175,0201 1,49184,9901 1,49194,9501 1,49110 What strategies did you use to solve the problems? Explain.11 Check your answer to problem 6 by solving it with a different strategy. Show your work. Curriculum Associates, LLC 2020 Curriculum Associates, LLC. All rights reserved.Copying is permitted for classroom use.7

Fluency and Skills PracticeUsing the Standard Algorithmto Add Greater NumbersName:Estimate the sum of each addition problem to check if the student’s answer isreasonable. If not, cross out the answer and write the correct answer.Addition ProblemsStudent Answers8,9971 2,30131,99823,4111 35,50712,91872,4181 41,291113,70967,8021 3,44310,2255,1881 9,0246,112 Curriculum Associates, LLC11,298Estimate: 2020 Curriculum Associates, LLC. All rights reserved.Copying is permitted for classroom use.9,0001 2,00011,0008

Fluency and Skills PracticeUsing the Standard Algorithm toAdd Greater Numbers continuedAddition ProblemsName:Student Answers21,8221 75,33397,15560,1251 69,20575,3304,8995,2241 9,296108,2091 How does estimating an addition problem help you know if an answer is reasonable?2 Can an answer be incorrect even if it looks reasonable? Explain. Curriculum Associates, LLC 2020 Curriculum Associates, LLC. All rights reserved.Copying is permitted for classroom use.9

Fluency and Skills PracticeUsing Strategies to SubtractName:Subtract.14,0032322,0002 1,99933,007274,0032 132,0002 1,9903,0072 274,0032 1032,0002 1,9853,0072 3074,0032 1,1032,0002 1,5003,0072 1,3074,0032 2,1032,0002 1,4903,0072 2,3074 What strategy did you use to find the differences for problem 2? Explain.5 How could you check your answer to one of the problems using another strategy? Curriculum Associates, LLC 2020 Curriculum Associates, LLC. All rights reserved.Copying is permitted for classroom use.10

Fluency and Skills PracticeUsing the Standard Algorithmto Subtract Greater NumbersName:Estimate. Circle all the problems with differences between 30,000 and 60,000.Then find the differences of only the circled problems.195,2172 39,871262,5542 31,618392,0232 71,578484,7242 43,951556,4172 24,009671,6772 13,197799,9022 33,227887,5912 46,280990,4342 51,5331078,2822 40,9831171,7312 61,3201250,1182 18,3061386,4962 54,1011459,1762 17,2221589,9712 11,49916 Use estimation and addition to check one of your answers. Show your work.17 How does checking with addition compare with checking using estimation? Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.11

Fluency and Skills PracticeMultiplication in Word ProblemsName:Use a strategy of your choice to solve each problem.1 The library has 5 mystery books on a shelf.2 Paul runs 2 laps around the gym. CarrieIt has 4 times as many fiction books onanother shelf. How many fiction books areon the shelf?runs 6 times as many laps as Paul. Howmany laps does Carrie run?There arethe shelf.fiction books on3 Violet has 3 markers. She has 6 times asCarrie runslaps.4 Owen draws 7 comics in April. He drawsmany colored pencils as markers. Howmany colored pencils does she have?3 times as many comics in May. How manycomics does Owen draw in May?Violet hasOwen drawscolored pencils.5 Tasha used 8 tomatoes to make salsa. Sheused 4 times as many tomatoes to makesauce. How many tomatoes did Tasha useto make sauce?Tasha usedmake sauce.tomatoes to7 There are 9 school buses in the parking lot.There are 6 times as many cars as schoolbuses in the parking lot. How many carsare in the parking lot?There arecars in the parking lot.comics in May.6 There are 7 pear trees on a farm. There are7 times as many apple trees as pear trees.How many apple trees are on the farm?There areapple trees.8 There are 8 vases at an art show. There are9 times as many paintings as vases at theart show. How many paintings are at theart show?There areart show.paintings at the9 Write and solve a word problem for this equation: 5 3 6 5 ? Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.12

Fluency and Skills PracticeModeling Multi-Step ProblemsName:Write an equation to represent each problem. Show your work.1 The Lopez family goes to the movies. Theybuy 2 adult tickets for 6 each and 3 childtickets for 4 each. Write an equation torepresent how much money the familyspends on movie tickets, t.3 During the basketball game, Mika makes3 baskets worth 2 points each, 2 basketsworth 3 points each, and 2 free throwsworth 1 point each. Write an equation torepresent how many points Mika scores, p.2 Grace earns 5 each time she walks herneighbor’s dog. She walks the dog 5 timesin one week. Then she spends 7 on abook and 9 on a building set. Write anequation to represent how much moneyGrace has left, m.4 Will has 20 pounds of apples. He makes2 batches of applesauce that use 4 poundseach, one batch of apple butter that uses6 pounds, and he uses 3 pounds to makejuice. Write an equation to represent howmany pounds of apples Will has left, p.5 What strategies did you use to write an equation?6 Is there another way you could write one of your equations?Could you write it as two equations? Explain. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.13

Fluency and Skills PracticeSolving Multi-Step ProblemsName:Write and solve an equation for each problem. Show your work.1 Tasha spends 25 minutes reading on2 Erik has 2 bags of bird seed. One bag hasWednesday night. She spends 17 moreminutes reading on Thursday than shedid on Wednesday. Write and solve anequation to find how many minutes Tashaspent reading on Wednesday andThursday nights.10 pounds of seed, and the other bag has8 pounds of seed. He fills 7 bird feederswith 2 pounds each. Write and solve anequation to find how many pounds of birdseed are left.Tasha spentThere areminutes reading.3 There are 15 boys and 19 girls in math club.pounds left.4 Frankie earns 5 each time he babysitsThe tables in Mrs. Miller’s classroom seat4 students each. Write and solve anequation to find how many tablesMrs. Miller will need.his little sister. He has saved 30.Frankie wants to save 52 to buy a newskateboard. Write and solve an equation tofind how many more times Frankie willneed to babysit.Mrs. Miller will needFrankie will need to babysitmore times.tables.5 How can you estimate to check one of your answers? Show your work. Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.14

Fluency and Skills PracticeMultiplying a Three-DigitNumber by a One-Digit NumberName:Find the product.1 500 3 4 5501 3 4 5506 3 4 52 300 3 2 5299 3 2 5298 3 2 53 400 3 3 5405 3 3 5410 3 3 54 499 3 6 55 706 3 3 56 195 3 5 57 What pattern do you notice in problem 2? How could it help you solve a problemsuch as 297 3 2?8 Choose problem 4, 5, or 6. Explain how you could check your answer. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.15

Fluency and Skills PracticeMultiplying a Four-DigitNumber by a One-Digit NumberName:Estimate. Circle all the problems that will have products between 18,000 and 32,000.Then find the exact products of only the problems you circled. Show your work.1 8,491 3 2 52 6,148 3 4 53 7,062 3 5 54 4,362 3 5 55 1,789 3 8 56 2,206 3 9 57 7,218 3 4 58 9,821 3 3 59 4,762 3 6 510 6,739 3 6 511 7,964 3 4 512 3,618 3 7 513 What strategies did you use to solve the problems? Explain. 2020LLC. All rights reserved. Curriculum Associates, LLC Copying is permittedforCurriculumclassroom Associates,use.16

Fluency and Skills PracticeMultiplying by Two-Digit NumbersName:Estimate each multiplication problem to check if the student’s answer isreasonable. If not, cross out the answer and write the correct answer.Multiplication ProblemsStudent Answers14 3 172,38023815 3 1928521 3 183,07816 3 1328 Curriculum Associates, LLCEstimate: 14 3 20 5 280 2020LLC. All rights reserved.Copying is permittedforCurriculumclassroom Associates,use.17

Fluency and Skills PracticeMultiplying by Two-Digit Numbers continuedMultiplication ProblemsStudent Answers13 3 3140318 3 173,05621 3 153,01512 3 222,604Name:1 How does estimating a multiplication problem help you know if an answer is reasonable? Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.18

Fluency and Skills PracticeDivision in Word ProblemsName:Use a strategy of your choice to solve each problem.1 There are 5 times as many tulips as rose2 Kelly has 2 times as many quarters asbushes in a garden. There are 15 tulips.How many rose bushes are in the garden?dimes. She has 18 quarters. How manydimes does she have?There arethe garden.Kelly hasrose bushes in3 There are 18 blueberries in a bowl. Theredimes.4 Amanda swims for 16 minutes. This isare 3 times as many blueberries asstrawberries in the bowl. How manystrawberries are in the bowl?4 times as many minutes as Julio swims.How many minutes does Julio swim?There arethe bowl.Julio swimsstrawberries in5 A tile pattern has 6 times as many whiteminutes.6 Leah has 3 times as many country songs assquares as gray squares. There are 48white tiles in the pattern. How many graytiles are there?she has pop songs on her MP3 player. Shehas 27 country songs. How many popsongs does Leah have?There arethe pattern.Leah hasgray tiles in7 Erik sees 42 stars in the sky on Tuesdaypop songs.8 Lucas spends 72 minutes cleaning hisnight. This is 7 times as many stars as hesees on Monday night. How many starsdoes Erik see on Monday night?room. This is 8 times as long as it takes himto wash the dishes. How long does it takeLucas to wash the dishes?Erik seesIt takes Lucasthe dishes.stars on Monday night.minutes to wash9 Write and solve a word problem for this equation: 6 3 n 5 54 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.19

Fluency and Skills PracticeDividing with Arrays and Area ModelsName:The answers to problems 1–12 are mixed up at the bottom of the page. Cross out theanswers as you complete the problems.1 606 4 2 52 606 4 3 53 903 4 3 54 408 4 8 55 243 4 3 56 721 4 7 57 545 4 5 58 488 4 8 59 816 4 4 510 728 4 8 511 459 4 9 512 366 4 6 513 What strategies did you use to solve the problems?14 Explain how to use multiplication to check your answer to problem 10.Answers913036120220410981513011035161 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.20

Fluency and Skills PracticeDividing with Estimation and Area ModelsName:Check the student’s answer by multiplying the quotient by the divisor and adding theremainder. If an answer is incorrect, cross out the answer and write the correct quotient,including the remainder.Division Problems637 4 4Student Answers149 R 1159 R 1139 4 269 R 1188 4 538 R 2344 4 657 R 3458 4 958 R 8222 4 731 R 5692 4 885 R 4479 4 3169 R 2Check: 149 3 4 5 596596 1 1 5 597 Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.21

Fluency and Skills PracticeDividing with Estimationand Area Models continuedName:1 Write a word problem that could be solved by one of the problems.2 Can an answer be incorrect even if it looks reasonable? Explain. Curriculum Associates, LLC 2020LLC. All rights reserved.Copying is permittedforCurriculumclassroom Associates,use.22

Fluency and Skills PracticeDividing Four-Digit NumbersName:Estimate. Circle all the problems with quotients between 500 and 1,500.Then find the exact quotients of only the problems you circled.1 2,508 4 4 52 7,058 4 9 53 2,726 4 9 54 7,429 4 5 55 3,506 4 9 56 8,318 4 8 57 7,645 4 2 58 4,113 4 4 59 3,196 4 5 510 5,018 4 7 511 8,127 4 6 512 6,155 4 3 513 What strategies did you use to estimate the quotients? Explain.14 Check one of your answers by solving it with a different strategy. Show your work. Curriculum Associates, LLC 2020 Curriculum Associates, LLC. All rights reserved.Copying is permitted for classroom use.23

Fluency and Skills PracticeUnderstanding of Equivalent FractionsName:Write the missing numbers in the boxes to make each equation true.8213 541621223 531852533 5630624353335155358563 561251573 524248351229 3516810 Which strategies did you use to solve the problems? Explain why. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.24

Fluency and Skills PracticeUsing Common Numeratorsand DenominatorsName:Compare the fractions. Write , , ., or 5 010016 Show a model you can use to check your answer to problem 12. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.25

Fluency and Skills PracticeUnderstanding of FractionAddition and SubtractionName:31 Label the number line and use it to show1 34 .4044484Shade the area model to show 34 1 34 .Write the sum. 34 1 34 5102 Label the number line and use it to show2 48 .8010Show2 48 on the area model.810Write the difference.2 48 58 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.26

Fluency and Skills PracticeUnderstanding of FractionAddition and Subtraction continuedName:3 What type of model do you like best for showing fraction addition and subtraction?Explain why.104 Compare subtracting2 48 to subtracting 10 2 4. How are they alike?8How are they different? Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.27

Fluency and Skills PracticeAdding FractionsName:Write the missing numbers in the boxes to make each addition problem true.111 46 566121 48 581431510104741 51212451 5 766461 5 73327 15 544528 15101029 15 588210 15666111 155554121510101013 Write a number from 1–12 in each box so that the addition problem is true.5151212 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.28

Fluency and Skills PracticeSubtracting FractionsName:Solve each problem.41 Sammy hasof his art project left to5paint. He paints 25 of the project. Whatfraction of the project is left to paint?3 Yuna plans to run 1 mile. She has run7of a mile so far. What fraction of a10mile does she have left to run?62 Marianne hasof a yard of green ribbon.8She uses 38 of a yard for a craft project. Howmuch green ribbon is left?4 Alex and Brady are helping to pack books7into a box. Together they packof the124books. Alex packsof the books. What12fraction of the books does Brady pack? Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.29

Fluency and Skills PracticeSubtracting Fractions continued35 On Monday, Adam walksof a mile to104the store and thenof a mile to the10park. How far does he walk in all?47 Shawna practices piano forof an hour6Name:76 Javier hasof a cup of flour. He uses 38 of a8cup in a recipe. How much flour does Javierhave left?48 Kailee has finishedof her math5and takes a break. Shawna then practiceshomework so far. What fraction of herfor 26 of an hour more. How long doesmath homework does she have leftShawna practice in all?to finish?9 Explain one way to check your work to problem 2. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.30

Fluency and Skills PracticeDecomposing FractionsName:Find three ways to decompose each fraction into a sum of other fractions withthe same denominator.315 14 1 14 14725 68 1835 24 1475 58 1835 14 1475 48 1863551 3565 25 15155 16 1 16 16151128651033951112121219512111 3655 16 16165 25 1 52 159551254561114110832511101010185101117 Describe your strategy for finding the missing numbers. Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.31

Grade 4 Mathematics Student At-Home Activity Packet This At-Home Activity Packet includes 23 sets of practice problems that align to important math concepts your student has worked with so far