GRADE 5 MODULE 5

A STORY OF UNITS5GRADEMathematics CurriculumGRADE 5 MODULE 5Answer KeyGRADE 5 MODULE 5Addition and Multiplication with Volume and AreaModule 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area

Lesson 1 Answer Key 5 5A STORY OF UNITSLesson 1Problem Set1.Explanations will vary.a. 1 cm³b. 5 cm³c. 9 cm³d. 9 cm³e. 12 cm³f.20 cm³2.Answers will vary.3.a. Explanations will vary.b. 10 cm³; explanations will vary.Exit Ticket1.a. 5 cm³b. 12 cm³2.Answers will vary.Homework1.Explanations will varya. 2 cm³b. 4 cm³c. 6 cm³d. 6 cm³e. 12 cm³f.16 cm³2.Answers will vary.3.A cube is hidden under the second layer, explanations will vary.4.Answers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area1

Lesson 2 Answer Key 5 5A STORY OF UNITSLesson 2Problem Set1.a. 8b. 16c. 482.a. Predictions will vary; 8 cm³b. Predictions will vary; 16 cm³c. Predictions will vary; 40 cm³3.Answers will vary.Exit Ticket1.82.Predictions will vary; 12 cm³Homework1.Explanations will vary.a. 4b. 12c. 242.a. 6b. 12c. 323.Answers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area2

Lesson 3 Answer Key 5 5A STORY OF UNITSLesson 3SprintSide A1. 2 fifths12. 223. 60 sixths or 1034. 90 sixths or 152. 3 fifths13. 4 halves or 224. 15 thirds or 535. 24 fourths or 63. 4 fifths14. 225. 30 thirds or 1036. 72 fourths or 184. 4 fifths15. 6 thirds or 226. 30 thirds or 1037. 32 eighths or 45. 3 eighths16. 227. 15 fifths or 338. 96 eighths or 126. 5 eighths17. 10 fifths or 228. 30 fifths or 639. 160 eighths or 207. 7 eighths18. 9 thirds or 329. 60 fifths or 1240. 224 eighths or 288. 7 eighths19. 18 thirds or 630. 45 fifths or 941. 270 ninths or 309. 3 tenths20. 8 fourths or 231. 45 fifths or 942. 441 ninths or 4910. 7 tenths21. 24 fourths or 632. 18 sixths or 343. 168 sevenths or 2411. 7 tenths22. 12 sixths or 233. 90 sixths or 1544. 294 sevenths or 421. 2 sevenths12. 223. 24 fourths or 634. 120 sixths or 202. 3 sevenths13. 10 fifths or 224. 15 fifths or 335. 20 fourths or 53. 4 sevenths14. 325. 30 fifths or 636. 60 fourths or 154. 4 sevenths15. 9 thirds or 326. 60 fifths or 1237. 24 eighths or 35. 3 tenths16. 527. 45 fifths or 938. 72 eighths or 96. 7 tenths17. 10 halves or 528. 45 fifths or 939. 120 eighths or 157. 9 tenths18. 6 thirds or 229. 15 thirds or 540. 168 eighths or 218. 9 tenths19. 12 thirds or 430. 30 thirds or 1041. 315 ninths or 359. 3 eighths20. 12 sixths or 231. 30 thirds or 1042. 378 ninths or 4210. 5 eighths21. 60 sixths or 1032. 24 sixths or 443. 147 sevenths or 2111. 5 eighths22. 8 fourths or 233. 120 sixths or 2044. 336 sevenths or 48Side BModule 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area3

Lesson 3 Answer Key 5 5A STORY OF UNITSProblem Set1.2.Answers will vary.Jonah is correct; explanations will vary.3.50 in³; 100 in³; 175 in³; explanations will vary.4.4; 12; 48 m³Exit Ticket1.2.2; 6; 1224Homework1.2.3.4.Answers will vary.Explanations will vary.48 in³; 80 in³; 112 in³; explanations will vary.4; 6; 24 m³Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area4

Lesson 4 Answer Key 5 5A STORY OF UNITSLesson 4Problem Set1.a. 5; 2; 2; 203.b. 36 m3b. 3; 2; 4; 24c. 4; 2; 4; 32d. 4; 3; 3; 362.a. 48 in34.560 cm35.Explanations will vary.a. 5 cm 2 cm 2 cm 20 cm (or variant)a. 300 cm3b. 3 cm 2 cm 4 cm 24 cm3 (or variant)b. 240 in33c. 4 cm 2 cm 4 cm 32 cm3 (or variant)d. 4 cm 3 cm 3 cm 36 cm3 (or variant)Exit Ticketa.2; 2; 4; 16; 2 mm 2 mm 4 mm 16 mm3 (or variant)b.100 ft3Homework1.6.a. 5; 2; 4; 403.a. 256 in3b. 210 m3b.3; 2; 5; 30c.4; 2; 4; 324.20,160 in3d.8; 3; 3; 725.a. 224 m3a. 5 cm 2 cm 4 cm 40 cm3 (or variant)b. 2,366 in3b. 3 cm 2 cm 5 cm 30 cm3 (or variant)c. 4 cm 2 cm 4 cm 32 cm3 (or variant)d. 8 cm 3 cm 3 cm 72 cm3 (or variant)Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area5

Lesson 5 Answer Key 5 5A STORY OF UNITSLesson 5Problem Set1.1, 32, 4 cm, 4 cm, 2 cm, 32 cm3;2, 20, 2 cm, 5 cm, 2 cm, 20 cm2.1, 32; 2, 203.4; 5; 66.3a. 7,800 mLb. 7.8 Lc. 1,560 mL; explanations will vary.7.2 cm34.1 cm 1 mL, explanations will vary.5.No, the beaker holds 40 mL less than the cube.Exit Ticketa.225 cm3b. Beaker shaded to line between 200 mL and 250 mLHomework1.Beaker shaded to line between 20 mL and 40 mL; explanations will vary.2.A; C; explanations will vary.3.Answers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area6

Lesson 6 Answer Key 5 5A STORY OF UNITSLesson 6Problem Set1.a. 420 cm3; strategies will vary.3.4 cmb. 444 in ; strategies will vary.4.120 cm3 or 120 mLc. 108 cm3; strategies will vary.5.a. A: 144 ft3; B: 288 ft33d. 324 m3; strategies will vary.2.3, 840 inb. 6 ft3c. 18 ftExit Ticket303 in3Homework1.a. 72 in3; strategies will vary.3.5 cmb. 1,431 cm ; strategies will vary.4.585 cm3 or 585 mLc. 369 mm3; strategies will vary.5.A: 74 ft3; B and C: 222 ft33d. 472 m32.2,124 in3Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area7

Lesson 7 Answer Key 5 5A STORY OF UNITSLesson 7SprintSide 21512.13.14.15.16.17.18.19.20.21.22.Module 5: 2014 Common Core, Inc. All rights reserved. 3.24.25.26.27.28.29.30.31.32.33.Addition and Multiplication with Volume and 7263968

Lesson 7 Answer Key 5 5A STORY OF UNITSSide 243212948635684Problem Set1.48 ft3; diagrams will vary.2.Four different diagrams drawn3.Answers and explanations will vary.4.a. No, explanations will vary.b. Explanations will vary.c. 60 ft2Exit TicketNo; explanations and drawings will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area9

Lesson 7 Answer Key 5 5A STORY OF UNITSHomework1.216 in3; diagrams will vary.2.Three different diagrams drawn3.Answers will vary.4.a. No; explanations will vary.b. Answers will vary.c. Answers will vary.d. Answers and explanations will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area10

Lesson 8 Answer Key 5 5A STORY OF UNITSLesson 8Problem SetParameters will vary.Exit TicketPrism sketches and dimensions will vary.Homework1.1,080 cm3; answers will vary.2.Answers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area11

Lesson 9 Answer Key 5 5A STORY OF UNITSLesson 9Problem SetMeasurements and calculations will vary.Exit Ticketa.12; 6; 4; 288b.10; 10; 18; 1,800c. 2,088HomeworkAnswers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area12

Lesson 10 Answer Key 5 5A STORY OF UNITSLesson 10Problem Set1.Rectangle 3 units by 2 units drawn with tiles; 3; 2; 62.Rectangle 3 units by 2 units drawn with tiles; 3; 2 ; 73.4.5.6.7.121211Rectangle 1 units by 5 units drawn with tiles; 5; 1 ;2233Rectangle 2 units by 1 units drawn with tiles; 2; 1 ;44333Rectangles unit by 5 units drawn with tiles; 5; ; 34443 260 in ; explanations will vary.41217213269 ft2Exit Ticket1.12 ; 2; 52Homework1.a. 7121b. 4; 2 ; 9434c. Rectangle units by 4 units is drawn and tiled; 334Rectangle 2 units by 1 units is drawn and tiled; 32.3.121109 in223 242 ft4Module 10: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area13

Lesson 11 Answer Key 5 5A STORY OF UNITSLesson 11SprintSide A1.612. 0.1523. 1.234. 212.0.613. 1424. 0.1235. 0.243.0.0614. 1.425. 0.01236. 244.915. 0.1426. 0.01237. 4.25.0.916. 1227. 3538. 0.496.0.0917. 1.228. 3.539. 0.0487.818. 1.229. 0.3540. 0.0548.0.819. 0.1230. 0.03541. 4.89.0.0820. 0.01231. 0.03542. 0.6310. 1521. 0.01232. 1643. 0.06411. 1.522. 1233. 1.844. 0.072Side B1.812. 0.1223. 1.634. 242.0.813. 1824. 0.1635. 0.273.0.0814. 1.825. 0.01636. 324.615. 0.1826. 0.01637. 4.25.0.616. 1527. 4538. 0.366.0.0617. 1.528. 4.539. 0.0487.918. 1.529. 0.4540. 0.0548.0.919. 0.1530. 0.04541. 4.89.0.0920. 0.01531. 0.04542. 0.6310. 1221. 0.01532. 1243. 0.04911. 1.222. 1633. 1.444. 0.072Module 11: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area14

Lesson 11 Answer Key 5 5A STORY OF UNITSProblem Set1231231491.4 ; 2 ; 112.3 ;1 ;63.4.5.a. Rectangles drawn2233b. Colleen’s: 41 cm2; Caroline’s: 166 cm244161 311 ; ;12 483 1 3; ;4 2 8c. Answers will vary.6.1629in216Exit Ticket1214Rectangle 2 square units sketched; 6 square unitsHomework1.3412a. 2 ; 1 ; 4181324113 by 232113 by 224b. Rectangle 2 by units drawn and tiled; 1c. Rectangled. Rectangle2.397813778units drawn and tiled; 8units drawn and tiled;1in216Module 11: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area15

Lesson 12 Answer Key 5 5A STORY OF UNITSLesson 12Problem Set1.a. Rectangle labeled; 5 in22.1in21615 in2257 in21671 in2871 in28b. Rectangle labeled; 3c. Rectangle labeled;d. Rectangle labeled;e. Rectangle labeled;f.Rectangle labeled;3.4.121b. 2 yd2, explanations will vary.431c. 2 yd2, explanations will vary.3211 2290 ft129a. 10 in2161b. 84 in22a. 1 ft2, explanations will vary.Exit Ticket1412382 in, 1 in; area 3 in2Homework1.38111 in21615 in21614 in287 2in8a. Rectangle labeled; 3 in2b. Rectangle labeled;c. Rectangle labeled;d. Rectangle labeled;e. Rectangle labeled;Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.org2.a.b.9yd21613 ft283.No; answers will vary.4.a. 6 ft214b. 266 ft2Addition and Multiplication with Volume and Area16

Lesson 13 Answer Key 5 5A STORY OF UNITSLesson 13Problem Set1.3 km2a.3m2105c. 24 yd2919d. 3 mi224238 in2151562 yd22b.2.3.69Exit Ticket451.9 mm22.267km216Homework1.a.16 cm2b.21 ft2c.d.2.3.35126 in2155 24 m711 277 in3221374 ft280Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area17

Lesson 14 Answer Key 5 5A STORY OF UNITSLesson 14Problem Set1.2.3.12181 in2451,094 ft284.71 ft219a. 1,656 ft2b. 409.835.a.Answers will vary.b. Answers will vary.Exit Ticket567 2ft .20Homework1.180 ft23.231307 in2164.161 ft22.9 2ft1072,075 ft2103835 bags for the highest setting;7 bags for the lowestModule 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area18

Lesson 15 Answer Key 5 5A STORY OF UNITSLesson 15Problem Set1.2.9m21625a.yd2641b. 23 ft233c. 34 ft2643.14a. 11 ft258b. 5 ft24.a. 309cm22535b. 1 cmExit Ticket12220 in2Homework341.18 ft22.1,6423.375 in2916ft234Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area19

Lesson 16 Answer Key 5 5A STORY OF UNITSLesson 16Problem Set1.Drawings will vary.2.Answers will vary.3.Answers will vary but should include that they all have at least one pair of parallel lines.4.When it has at least one pair of parallel lines5.Drawings will vary.Exit Ticket1.a. Trapezoids will vary.b. Answers will vary.Homework1.a. Drawings will vary.b. Drawings will vary.2.a. Shapes in the wrong groups circled; explanations will vary.b. Explanations will vary.3.Trapezoid will vary.a. Answers will vary.Module 5: 2014 Common Core, Inc. All rights reserved. commoncore.orgAddition and Multiplication with Volume and Area20