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Fluency and Skills PracticeName:TeacherAdding DecimalsPacketCircle all the problems with sums less than 5.Then find the exact sums of only the problems you circled.1 0.24 4.254.494 2.31 2.72 4.8 0.163 2.31 2.0754.964.3855 0.909 4.096 3.99 1.1094.9997 2.675 2.32510 2.6 2.9338 3.775 0.2259 2.06 2.93344.99311 1.809 3.09112 3.01 1.9914.913 1.83 3.1 0.114 0.012 3.79 1.10115 2.6 2.04 0.0994.9034.73916 What strategies did you use to solve the problems?Answers will vary.Possible answer: In problem 1, I used place value to find the sum of 4 ones, 4 tenths, and9 hundredths. In problem 2, I stacked the decimals vertically, aligning the 8 in 4.8 withthe 1 in 0.16. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.14

Fluency and Skills PracticeName:TeacherSubtracting Decimals to HundredthsPacketThe answers are mixed up at the bottom of the page. Cross out the answersas you complete the problems.1 7.5 2 1.22 10.75 2 4.136.33 20.2 2 14.86.624 6.12 2 0.75.45 41.5 2 33.255.426 15.9 2 8.928.257 105.53 2 99.286.988 9.46 2 3.686.259 74 2 65.95.7810 5.05 2 0.568.111 31.27 2 23.674.4912 256.4 2 248.387.613 12 2 4.398.0214 1,280.01 2 1,272.777.6115 500.2 2 16.985.427.245.48.025.786.3 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.15

Fluency and Skills PracticeUsing Estimation with DecimalsName:TeacherPacketSolve the problems.1 Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters ofwater, a container with 3.25 liters of water, and a container with 4.85 liters of water. Does shehave enough water? Use estimation only to decide. Explain why you are confident in yourestimate.Yes, Lori has at least 12 liters of water. Answers will vary. Possible answer: For myestimate, I added 4.5 1 3 1 4.5, for a total of 12 liters. Since the actual amounts are allgreater, I am confidant that she has more water than I estimated.2 Nia wants the total weight of her luggage to be no more than 50 kilograms. She has threesuitcases that weigh 15.8 kilograms, 17.42 kilograms, and 16.28 kilograms. Is the total weightwithin the limit? Use only estimation to decide. Explain how you know your estimate gives youthe correct answer.Yes, the total weight is within the limit. Answers will vary. Possible answer: For myestimate, I added 16 1 17.5 1 16.5, for a total of 50 kilograms. Since the actual weightsare all less than the numbers I added, the actual total weight will be less than50 kilograms.3 Omar measures one machine part with length 4.392 centimeters and another part with length6.82 centimeters. What is the difference in length? Use estimation to check your answer forreasonableness.The difference in length is 6.82 2 4.392, or 2.428 centimeters. Answers will vary.Possible answer: To estimate, I subtract 6.8 2 4.4 to find a difference of about2.4 centimeters. Since 2.4 is close to 2.428, my answer is reasonable. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.16

Fluency and Skills PracticeUsing Estimation with Decimals continuedName:TeacherPacket4 Kyle wants to buy a hat for 5.75, a T-shirt for 7.65, and a keychain for 3.15. He has 16. Doeshe have enough money? Use estimation only to decide. Explain why you are confident in yourestimate.No, Kyle does not have enough money. Answers will vary. Possible answer: For myestimate, I added 5.50 1 7.50 1 3, for a total of 16. Since the actual amounts are allgreater, the actual cost will be greater than 16.5 For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has1.78 kilograms of peanuts and 0.625 kilograms of almonds. The rest of the nuts will be cashews.How many kilograms of cashews does he need? Use estimation to check your answer forreasonableness.The total weight of the peanuts and almonds is 1.78 1 0.625, or 2.405 kilograms. He willneed 3.5 2 2.405, or 1.095 kilograms of cashews. Answers will vary. Possible answer: Toestimate, I add 1.8 1 0.6 to find a total of about 2.4 kilograms for the peanuts andalmonds. Then I subtract 3.5 2 2.4 to estimate that he needs about 1.1 kilograms ofcashews. Since 1.1 is close to 1.095, my answer is reasonable.6 Suppose you want to be sure that the total cost of three items does not go over a certainamount. How can you use estimation only to solve the problem?Answers will vary. Possible answer: When I estimate, I use amounts that are greater thatthe actual amounts for all three items. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.17

Fluency and Skills PracticeMultiplying a Decimal by a Whole NumberName:TeacherPacketMultiply.1 3 3 0.22 3 3 0.035 4 3 1.16 3 0.070.4210 21 3 0.051.0513 9 3 3.2529.2516 16 3 6.4102.46 4 3 1.184.724.40.3270.690.090.64 4 3 0.083 3 3 0.2386 3 1.19 6 3 1.177.026.611 21 3 1.0512 21 3 2.0543.0522.0514 5 3 0.8715 11 3 3.6840.484.3517 7 3 6.8918 32 3 5.1248.23163.8419 How did you know where to put the decimal point in problem 6?Answers will vary. Possible answer: I used partial products. The product was 472hundredths. To show hundredths, I placed the decimal point so that there are 2 digitsafter the decimal point, resulting in the product 4.72. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.18

Fluency and Skills PracticeMultiplying Decimals Less Than 1Name:TeacherPacketMultiply.1 0.5 3 31.54 6 3 0.21.270.8 3 0.10.0810 0.4 3 0.020.00813 0.3 3 0.40.1216 0.01 3 0.50.0052 0.5 3 0.30.155 0.6 3 0.20.128 0.8 3 0.20.1611 0.4 3 0.040.01614 0.6 3 0.40.2417 0.05 3 0.50.0253 0.5 3 0.030.0156 0.06 3 0.20.0129 0.8 3 0.30.2412 0.4 3 0.120.04815 0.6 3 0.80.4818 0.25 3 0.50.12519 Describe a pattern you noticed when you were completing the problem set.Answers will vary. Possible answer: In problem 7 through problem 9, one factor wasalways 0.8 while the other factor increased by 0.1 each time. The result was that theproduct increased by 0.8 3 0.1, or 0.08, each time. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.19

Fluency and Skills PracticeMultiplying with Decimals Greater Than 1Name:TeacherPacketThe answers are mixed up at the bottom of the page. Cross out the answersas you complete the problems.1 0.3 3 1.22 1.2 3 0.40.363 1.2 3 1.10.484 0.3 3 12.11.325 4.4 3 1.13.636 0.02 3 1.84.847 7. 1 3 5.10.0368 6.6 3 0.0236.219 2.4 3 4.80.13210 9.2 3 5.2411.5211 1.2 3 1.2448.20812 8.4 3 6.21.48813 4.2 3 3.2152.0814 4.25 3 8.513.48215 1.9 3 840.4852.0811.525.28236.1250.0360.363.6336.21 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.20

Fluency and Skills PracticeDividing a Decimal by a Whole NumberName:TeacherPacketMultiply to check if the student’s answer is reasonable. If not, cross out the answerand write the correct quotient.Division ProblemsStudent Answers0.88 4 110.8Product: 11 3 0.8 5 8.85.6 4 80.070.7Product: 8 3 0.07 5 0.567.2 4 90.8Product: 9 3 0.8 5 7.225.35 4 55.75.07Product: 5 3 5.7 5 28.521.7 4 73.1Product: 7 3 3.1 5 21.714.4 4 120.121.2Product: 12 3 0.12 5 1.4496.16 4 812.212.02Product: 8 3 12.2 5 97.660.18 4 230.930.09Product: 2 3 30.9 5 61.80.081 Can an answer be incorrect even if it looks reasonable? Explain.Answers will vary. Possible answer: Yes, an answer that looks reasonable can beincorrect. For example, in a problem such as 60.18 4 2, I could estimate that 60.18 isclose to 60 and 60 4 2 5 30. Since 30.9 is close to 30, it appears to be a reasonableanswer, even though it is incorrect. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.21

Fluency and Skills PracticeName:TeacherDividing by HundredthsPacketDivide.1 1 4 0.2544 6.5 4 0.252671.8 4 0.092010 2.25 4 0.75313 36.36 4 0.066062 4 4 0.25165 1.8 4 90.28 225 4 75311 0.36 4 0.06614 9 4 2.2543 3.75 4 0.25156 1.8 4 0.929 22.5 4 7.5312 6.36 4 0.0610615 13.5 4 2.25616 Describe a pattern you noticed when you were completing the problem set.Answers will vary. Possible answer: In problems 5 through 7, the value of the divisorwas reduced by one place value, (9, 0.9, and 0.09) while the dividend remained thesame. The value of the quotient was increased by one place value (0.2, 2, 20). So whena divisor is smaller, it makes the quotient larger. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.22

Fluency and Skills PracticeTeacher PacketAdding Fractions withUnlike DenominatorsName:Add.111 142121 382131 132347856141 14371251516121112571 236381 5649619127101 2383111 35237242110161 2531115791 16917189121 568472413 What is a different common denominator you could use in problem 2? Describe how you wouldadd the fractions using this different common denominator. Is the result equivalent to the sumfound in problem 2?Answers will vary.Possible answer: I could use 16 as a common denominator. To add, I would31andwith equivalent fractions with the common denominator of 16.replace28861415. The sum is equivalent to the one found above,The result would be161616147has the same value as.because168 2020 Curriculum Associates, LLC. All rights reserved. Curriculum Associates, LLC Copying is permitted for classroom use.23

Fluency and Skills PracticeName:TeacherAdding with Mixed NumbersPacketAdd.71 41 188572 41 14873 41 12815835834 21 13435 21 23436 21 56413125312731227 11 1 1259210510 41 2 238772448 21 3 12529 31 3 2533610311 51 2 3541715512 31 2 78678201762413 What strategy did you use to solve problem 3? Describe each step.41Answers will vary. Possible answer: I used a number line. I knowequals, so I divided2873the number line into eighths, started at 4, and jumped right four eighths to 5.88 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.24

Fluency and Skills PracticeName:TeacherSubtracting Fractions withUnlike DenominatorsPacketSubtract.112 142122 382132 132141816142 143112772 3481822 351031155525612362 164512712182 252110392 35432052 381167122 238112452413 How could you check your work in problem 4? Describe each step.111Answers will vary. Possible answer: I could add1to check that the sum is. When I12431replacewith an equivalent fraction with the common denominator of 12, the result413441is15. I knowandare equivalent fractions, so my work is correct.121212123 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.25

Fluency and Skills PracticeSubtracting with Mixed NumbersName:TeacherPacketSubtract.11 22 14812 22 12813 22 34871851831814 22 23251627 72 3 1259310210 62 3 3451322015 22 1 134111238 52 4 1685124311 92 3 2381752416 32 1 346511229 82 3 45313415112 142 9 568742413 What pattern did you notice in problems 1 through 3? Explain how this helped you subtract.21Answers will vary. Possible answer: Each time I subtractedmore from 2. This helped882me subtract because the difference wasless each time.8 Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.26

Fluency and Skills PracticeEstimating in Word Problemswith FractionsName:TeacherPacketSolve the problems. Estimate to tell if your solution is reasonable. Show your work.31 Jim mails one package that weighspound and another that weighs 23 pound. What is the total8weight of both packages?312111Estimate:is close toandis close to. I add1to estimate a total weight of about8232221 pound.316259211Solve:1515, or 1pounds. Since 1 is close to 1, my solution is832424242424reasonable.12 Rosa needs 5yards of ribbon for a crafts project. She already has 2 78 yards of ribbon. How4many more yards of ribbon does she need to buy?1711Estimate: 5is a benchmark and 2is close to 3. She needs 52 3, or about 2more4448yards.3317271Solve: 52 25 52 25 2yards of ribbon. Since 2is close to 2, my solution is4488888reasonable.33 To make fruit punch, Tyrone needs 3quarts of orange juice and 3 34 quarts of cranberry juice.8How many quarts of juice does he need in all?33335112Estimate: 3is close to 3and 3is a benchmark. So, 31 35 31 35 6, or about4444482217quarts.433369111Solve: 31 35 31 35 6, or 7quarts. Since 7is close to 7, my solution is44888888reasonable. Curriculum Associates, LLC Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.27

Fluency and Skills PracticeEstimating in Word Problemswith Fractions continuedName:TeacherPacket54 Lin spenthour on math homework and 1 34 hours on science homework. How many hours in6all did she spend on homework for both subjects?53is close to 1 and 1is close to 2. I add 1 1 2 to estimate about 3 hours.Estimate:64531091977Solve:1 151 15 1, or 2hours. Since 3 is close to 2, my solution is121212641212reasonable.15 Sandra rode her bike 9miles on Monday and 6 45 miles on Tuesday. How many more miles did3she ride on Monday than on Tuesday?11411is close to 9and 6is close to 7. She rode about 92 7, or 2miles more.Estimate: 95322258814121Solve: 92 65 92 65 2miles. Since 2is close to 2, my solution is51515151532reasonable.6 How can you make a high estimate for the sum of two fractions in a word problem?Answers will vary. Possible answer: For each fraction, I can use a benchmark fractionthat is greater than that fraction when I estimate the sum. The estimated sum will begreater than the actual sum. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.28

Fluency and Skills PracticeFractions as DivisionName:TeacherPacketSolve each problem.1 Roger has 4 gallons of orange juice. He putsthe same amount of juice into each of5 pitchers. How many gallons of orangejuice are in 1 pitcher?4 gallon53 flower pots. She wants to put the sameamount of soil in each pot. How many cubicfeet of soil will she put in each flower pot?8 or 22 cubic feet333 Greg made 27 ounces of potato salad toserve to 10 guests at a picnic. If each servingis the same size, how much potato salad willeach guest receive?27 or 27 ounces10105 Taylor has 5 yards of gold ribbon to decorate8 costumes for the school play. She plans touse the same amount of ribbon for eachcostume. How many yards of ribbon will sheuse for each costume?5 yard82 Marta has 8 cubic feet of potting soil and4 Chandra spends 15 minutes doing 4 mathproblems. She spends the same amount oftime on each problem. How many minutesdoes she spend on each problem?153 minutesor 3446 DeShawn is using 7 yards of wire fencingto make a play area for his puppy. He wantsto cut the fencing into 6 pieces of equallength. How long will each piece offencing be?7 or 11 yards6647 What is a division word problem that can be represented by?3Answers will vary. Possible answer: Three friends share 4 ounces of sunflower seedsequally. How many ounces of sunflower seeds does each friend get? Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.29

Fluency and Skills PracticeName:TeacherUnderstanding of Multiplyingby a FractionPacket1 Draw a number line model to represent each multiplication problem. Then solve the problem.23 123223 12 5630212220153 346553 34 5860414240344412 Draw an area model to represent each multiplication problem. Then solve the problem.43 235843 23 515533 164333 16 52443 What type of model do you like best? Explain why.Answers will vary. Possible answer: I like using area models because I can see thenumber of parts in 1 whole, which helps me to write the product. Curriculum Associates, LLCCopying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.30

Fluency and Skills PracticeName:TeacherMultiplying Unit Fractions to Find AreaPacketEach multiplication problem is used to find the area of a rectangle. Write themissing digits in the boxes to make each multiplication problem true.11 length:unit2width: 18 unit12 length:unit3width: 14 unit111square unit35821614 length:unit2width: 15 unit117 length:unit2width: 17 unit111352714113 14 5 square unit31215 length:unit4width: 14 unit13 15 5 square unit21013 length:unit2width: 13 unit113 13 5 square unit2616 length:unit3width: 18 unit1113 14 5413 18 53162418 length:unit31width:unit1019 length:unit5width: 16 unit111square unit3531030111square unit35563010 Write missing digits in the boxes to make two different multiplication problems thatare both true. Answers will vary. Possible answer:113 14 5520 Curriculum Associates, LLC113 14 528Copying is permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.31

Fluency and Skills PracticeName:TeacherTiling a Rectangle to Find AreaPacketEach multiplication problem is used to find the area of a rectangle. Write each product.11 length:unit2width: 13 unit22 length:unit3width: 12 unit33 lengt

Grade 5 Mathematics Teacher At-Home Activity Packet The At-Home Activity Packet includes 27 sets of practice problems that align to important math concepts that have likely been taught this year. Since pace varies from classroom to classroom, feel free to select the pages that align with the topics your students have covered.File Size: 577KB