# GRADE 3 • MODULE 2 3 GRADE Mathematics Curriculum GRADE 3 • MODULE 2 Module 2: Place Value and Problem Solving with Units of Measure ommon, . Answer Key GRADE 3 • MODULE 2 Place

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• 3 GR A D E

Mathematics Curriculum

Module 2: Place Value and Problem Solving with Units of Measure

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GRADE 3 • MODULE 2 Place Value and Problem Solving with Units of Measure

A STORY OF UNITS

• 3•2 Lesson 1 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

1

Lesson 1

Problem Set

1. Times will vary.

2. Times will vary.

3. Times will vary.

4. Times will vary.

5. Times will vary.

6. Times will vary.

Exit Ticket

a. Jake

b. Riley and Nicholas

c. 3 seconds

Homework

1. a. Dominique

b. Chester

c. 5 seconds

2. Activities will vary.

3. First clock—10:15

Second clock—2:50

Third clock—11:00

Fourth clock—7:05

• 3•2 Lesson 2 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

2

Lesson 2

Problem Set

1. a. First and last tick marks labeled as 7:00 a.m. and 8:00 a.m.

b. Each interval labeled by fives below the number line up to 8:00 a.m.

c. Point D plotted and labeled above 7:10 a.m.

d. Point E plotted and labeled above 7:35 a.m.

e. Point T plotted and labeled above 7:40 a.m.

f. Point L plotted and labeled above 7:45 a.m.

g. Point W plotted and labeled above 7:55 a.m.

2. Every 5 minutes labeled below the number line

First clock not matched to the number line

Second clock—5:50 p.m.

Third clock—5:15 p.m.

Fourth clock not matched to the number line

Fifth clock—5:40 p.m.

Last clock—5:25 p.m.

3. First and last tick marks labeled as 5:00 p.m. and 6:00 p.m.; each interval labeled by fives below the

number line up to 6:00 p.m.; 5:45 p.m. located and plotted on the number line

4. Yes; because a.m. means the morning and p.m. means the afternoon or nighttime

Exit Ticket

a. 10:10 a.m. c. 10:50 a.m.

b. 10:20 a.m. d. 1 hour

• 3•2 Lesson 2 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

3

Homework

a. First and last tick marks labeled as 4:00 p.m. and 5:00 p.m.

b. Each interval labeled by fives below the number line up to 4:00 p.m.

c. Point W plotted and labeled above 4:05 p.m.

d. Point F plotted and labeled above 4:15 p.m.

e. Point G plotted and labeled above 4:25 p.m.

f. Point B plotted and labeled above 4:50 p.m.

g. Point P plotted and labeled above 4:55 p.m.

• 3•2 Lesson 3 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

3

Lesson 3

Problem Set

1. The times shown on the clocks are plotted 2. Hands on the clock drawn to show 6:48 a.m.

correctly on the number line. 3. Hands on the clock drawn to show 8:23 a.m.

First clock—7:17 p.m. 4. 5:27 p.m.

Second clock—7:03 p.m. 5. a. 3:56 p.m.

Third clock—7:55 p.m. b. 3:45 p.m.

Fourth clock—7:41 p.m.

Exit Ticket

a. 8:03 a.m.

b. Hands on the clock drawn to show 8:23 a.m.

c. The first and last tick marks labeled as 8:00 a.m. and 9:00 a.m.; Point A plotted and labeled above 8:03

a.m.; Point B plotted and labeled above 8:23 a.m.

Homework

1. The times shown on the clocks are plotted 4. a. 2:32 p.m.

correctly on the number line. b. 2:55 p.m.

First clock—4:34 p.m. c. 55 p.m.

Second clock—4:01 p.m. d. First and last tick marks labeled 2:00 p.m.

Third clock—4:16 p.m. and 3:00 p.m.; Point B plotted and labeled

Fourth clock—4:53 p.m. above 2:32 p.m.; Point F plotted and

Fifth clock—answer provided labeled above 2:55 p.m.

2. Hands on the clock drawn to show 6:07 p.m.

3. Hands on the clock drawn to show 1:32 p.m.

• 3•2 Lesson 4 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

4

Lesson 4

Problem Set

1. 26 5. 9:52

2. 2:08 6. 19 min

3. 31 7. 11:58 a.m.

4. 4:09 8. 1:17 p.m.

Exit Ticket

1. Hands on the first clock are drawn to show 1:34 p.m.

2. Hands on the second clock are drawn to show 1:56 p.m.

3. 22 min

Homework

1. 31 4. 2:11

2. 3:22 5. 36 min

3. 33 6. Times will vary.

• 3•2 Lesson 5 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

5

Lesson 5

Problem Set

1. 53; problem modeled on number line; 25 + 28 = 53

2. 22; problem modeled on number line; 34 – 12 = 22

3. 17; problem modeled on number line; 47 – 30 = 17

4. a. 29 minutes

b. No; Austin will be 4 minutes late.

5. 11:13

Exit Ticket

36; problem modeled on number line; 19 + 17 = 36

Homework

1. 56; problem modeled on number line; 22 + 34 = 56

2. 9 minutes; problem modeled on number line; 56 – 47 = 9

3. 30 minutes

4. a. 47 minutes

b. No; Marcus will be 2 minutes late.

5. 27 minutes

• 3•2 Lesson 6 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

6

Lesson 6

Problem Set

1. Illustrations and descriptions will vary.

2. Illustrations and descriptions will vary.

3. Illustrations and descriptions will vary.

4. Illustrations and descriptions will vary.

5. Answers will vary; both charts grow by units of 10.

Exit Ticket

100 grams

Homework

1. a. 10

b. 10

c. 10

d. They all need 10 to get to the next unit.

2. Top row, left to right: 3 kilograms; 6 kilograms; 450 grams

Bottom row, left to right: 907 grams; 11 kilograms; 1 kilograms

• 3•2 Lesson 7 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

7

Lesson 7

Problem Set

A. Objects and weights will vary. F. 2 kilograms since 1 bottle of water weighs

B. Objects and weights will vary. about 1 kilogram

C. Objects and weights will vary. G. Yes; 10 units of 100 grams equal 1000 grams,

D. Objects and weights will vary. which is the same as 1 kilogram

E. 1. grams

2. kilograms

3. grams

4. kilograms

5. kilograms

6. grams

Exit Ticket

1. 146 g; 12 kg

2. a. grams

b. grams

c. kilograms

d. grams

e. kilograms

Homework

1. Water bottle—1 kilogram

Paper clip—1 gram

4 pennies—10 grams

Apple—100 grams

2. Grams; because 113 kilograms is too heavy for a cell phone

3. 25 kilograms; 9 kilograms; 200 grams

367 grams; 105 grams

• 3•2 Lesson 8 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

8

Lesson 8

Problem Set

1. 464; 355 3. Tape diagram drawn correctly; about 15 kg

2. a. 78; problem modeled with tape diagram 4. a. About 3 kg

b. 8; problem modeled with tape diagram 5. b. About 21 kg

Exit Ticket

a. 14 kg

b. 28 kg

c. 3 backpacks

Homework

1. a. C 3. 430 g

b. B 4. a. 91 kg

c. 4 5. b. 125 kg

d. 36 kg 6. a. 7 kg

2. 840 g 7. b. 5 kg

• 3•2 Lesson 9 Answer Key

Module 2: Place Value and Problem Solving with Units of Measure

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

9

Lesson 9

Problem Set

a. Estimations will vary.

c. Illustrations and descriptions will vary.

d. Illustrations and descriptions will vary.

e. Illustrations and descriptions will vary.

f. They both break apart into 1 thousand units. 1 liter is 1000 milliliters, and 1 kilogram is 1000 grams.

g. 1 gram; 1 liter is the same as 1 kilogram, and they break apart the same way into 1 thousand units.

Exit Ticket

1. .25

2. 100 groups; there are 10 groups of 10 milliliters in 100 milliliters, and there are 10 groups o

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