grade parrot fire kris northern 5 - mr. mitch's class...

Parrot Fire Kris Northern

InvestigationsIN NUMBER, DATA, AND SPACE®

“ Rather than zoom into the fractal you can zoom into the edge of it and continually fi nd the same pattern repeating itself much like the shoreline of a lake viewed from a plane.”– Kris Northern Student Activity Book

ANSWER KEY

UNITS 1–9

GRADE

5

Created by Pearson to supplementInvestigations in Number, Data, and Space®

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Unit 1 | Number Puzzles and Multiple Towers 1

Page 11. Answers will vary.

Sample answer: 8

2

4

8

Students should list multiples of 2.

2. Answers will vary.

Sample answer: 30

5

6

30



Sample answer: 7

177

Students should list prime numbers.


Sample answer: 16

4

4

16

Students should list square numbers.

5. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

6. 4, 9, 16, 25, 36, 49, 64, 81, 100

Page 31. 1, 2, 3, 6, 7, 14, 21, 42


Sample answer: 42, 84, 126, 168, 210

3. Explanations will vary.

4. B5. B

Page 41.–3. Answers will vary.

Sample answers:

1. 5 x 6 = 30

2. 5 x 8 = 40

3. 8 x 8 = 64


Sample answer: 12

2

6

124

3

12



Sample answer: 24

3

8

24 4

6

24



Sample answer: 100

20

5

100

25

4

100


UNIT 1: NUMBER PUZZLES AND MULTIPLE TOWERS

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2 INVESTIGATIONS Answer Key

Page 7Review students’ work.

1,897

Page 8

✔ Puzzle Answer

✔ 1 16

✔ 2 24

✔ 3 20, 40

✔ 4 1, 3

✔ 5 150

✔ 6 120, 240

✔ 7 36

✔ 8 ★ 6, 14

✔ 9 ★ Impossible

✔ 10 ★ 350

✔ 11 ★ 99

✔ 12 ★ 154

✔ 13 2, 7

✔ 14 12

Page 9Table A: 14, 42, 56, 21, 70, 77, 49, 84, 28, 63, 35

Table B: 16, 72, 32, 88, 64, 80, 48, 40, 24, 96, 56

Table C: 60, 24, 12, 48, 18, 36, 54, 30, 72, 66, 42

Table D: 45, 18, 108, 36, 90, 63, 27, 54, 99, 72, 81

Page 10Answers will vary.

Page 111. 12


3. B

Page 121. Two factors:

18: 1 x 18; 2 x 9; 3 x 6

180: 1 x 180; 2 x 90; 3 x 60; 4 x 45; 5 x 36; 6 x 30; 9 x 20; 10 x 18; 12 x 15

Combinations with more than two factors will vary.

Prime factorizations:

18 = 2 x 3 x 3

180 = 2 x 2 x 3 x 3 x 5


Page 131. 1, 2, 3, 4, 6, 9, 12, 18, 36

2. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

3. All of the factors of 36 are also factors of 72.

4. B

Page 14Table A: 21, 42, 63, 14, 28, 70, 56, 84, 35, 49, 77

Table B: 16, 56, 24, 40, 48, 80, 64, 88, 96, 32, 72

Table C and Table D: Answers will vary.

Page 151. Two factors:

12: 1 x 12; 2 x 6; 3 x 4

120: 1 x 120; 2 x 60; 3 x 40; 4 x 30; 5 x 24; 6 x 20; 8 x 15; 10 x 12


Prime factorizations:

12 = 2 x 2 x 3

120 = 2 x 2 x 2 x 3 x 5

2. Two factors:

21: 1 x 21; 3 x 7

210: 1 x 210; 2 x 105; 3 x 70; 5 x 42; 6 x 35;

7 x 30; 10 x 21; 14 x 15

Combinations with more than two factors:

21: none

210: 3 x 7 x 10; 2 x 3 x 5 x 7

Page 161. 1, 2, 4, 5, 10, 20, 25, 50, 100

2. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200


4. D

Page 17Table A: 54, 24, 42, 30, 48, 18, 72, 12, 66, 36, 60

Table B: 32, 40, 24, 16, 48, 80, 56, 96, 64, 32, 72

Table C and Table D: Answers will vary.

Page 191.–3. Review students’ work.

Explanations will vary.

Page 204. 120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

210 = 2 x 3 x 5 x 7

5. No


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Page 211. 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


Sample answer: 150, 300, 450, 600, 750

3. C



Sample answers:

1. Two factors: 2 x 30; 3 x 20; 4 x 15

More than two factors: 2 x 5 x 6

2. Two factors: 2 x 45; 3 x 30; 5 x 18; 6 x 15

More than two factors: 3 x 3 x 10; 2 x 5 x 9; 2 x 3 x 3 x 5

3. C



1. 312

2. 612

3. C


Sample answers:

1. Two factors: 2 x 25; 5 x 10

More than two factors: 2 x 5 x 5

2. Two factors: 2 x 36; 3 x 24; 4 x 18; 6 x 12; 9 x 8

More than two factors: 3 x 3 x 8; 6 x 4 x 3; 2 x 2 x 2 x 3 x 3


27 x 19 = 513

42 x 32 = 1,344

76 x 8 = 608

82 x 56 = 4,592

65 x 14 = 910


1. 494

2. C

Page 291. 360

2. 441

3. 900

Page 31Students should fi ll in the recording sheet based on game play.


1. 936

Students should circle the following problems:

2. 5 x 50

3. 40 x 20 and 200 x 4

4. 300 x 20

Page 33Explanations will vary.

1. < 2. = 3. =4. > 5. =


1. 120; 240

200; 80

56

336

2. 350; 250

700; 500

750

875

3. 210; 400

420; 140

105

567

4. 700; 105

280; 1,050

1,022


1. 1,036 students

2. 1,088 soccer players

3. 1,372 football players

4. 1,824 people

5. 1,540 people

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1. 1,632

2. 588

3. B

Page 381. Two factors: 1 x 144; 2 x 72; 3 x 48;

4 x 36; 6 x 24; 8 x 18; 9 x 16; 12 x 12

More than two factors: 2 x 2 x 36; 2 x 3 x 24; 2 x 4 x 18; 2 x 6 x 12; 2 x 8 x 9; 3 x 3 x 16; 3 x 4 x 12; 3 x 6 x 8; 4 x 4 x 9; 4 x 6 x 6; 2 x 2 x 4 x 9; 2 x 2 x 6 x 6; 2 x 2 x 2 x 18; 2 x 2 x 3 x 12; 2 x 3 x 4 x 6; 2 x 3 x 3 x 8; 3 x 3 x 4 x 4; 2 x 2 x 3 x 3 x 4; 2 x 2 x 2 x 3 x 6; 2 x 2 x 2 x 2 x 9

Prime factorization:

2 x 2 x 2 x 2 x 3 x 3

2. Two factors: 1 x 300; 2 x 150; 3 x 100; 4 x 75; 5 x 60; 6 x 50; 10 x 30; 12 x 25; 15 x 20

More than two factors: 2 x 2 x 75; 2 x 3 x 50; 2 x 5 x 30; 2 x 6 x 25; 2 x 10 x 15; 3 x 4 x 25; 3 x 5 x 20; 3 x 10 x 10; 4 x 5 x 15; 5 x 5 x 12; 5 x 6 x 10; 2 x 2 x 3 x 25; 2 x 2 x 5 x 15; 2 x 3 x 5 x 10; 2 x 5 x 5 x 6; 3 x 4 x 5 x 5

Prime factorization:

2 x 2 x 3 x 5 x 5


1. 260; 60

520; 180

780

130

936

2. 490; 280

980; 2,400

540

3,283

3. 150; 1,250

300; 625

1,500

1,875

4. 4,800; 5,400

18; 180

160

5,518


1. $12.71


1. a. 600

b. 800

c. 390

1,014

2. a. 3,300

b. 1,500

c. 550

1,815


3. a. 470

b. 1,200

c. 360

1,692

4. a. 90

b. 1,500

c. 1,060

1,590


1. 783

2. 481

3. 1,014

4. 495

5. 760

6.–7. Answers will vary.

8. 525


1. 5,100

2. 3,528


3. 2,048

4. 9,522


1. 248

2. 1,381

3. 1,655

4. 342

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1. 13 R6


4. B


1,702

Page 491. 210

2. 53. 15

4. 20

5. 105

6. 10

7. 315

Page 50 8. 30

9. 45

10. 21


Page 511. 885 pages

2. 503 pages

3. 184 pages


2. 15


1. 12

2. 15 shelves fi lled; 10 books left

3. 25

4. 34 students

Page 541. a. $190.15

b. $9.85

2. a. $297.48

b. $2.52


1. 64

2. 72

3. 60 R15

4. 101


Page 561. a. 1,289 stamps

b. 211 stamps

2. a. 1,311 stamps

b. 189 stamps

3. 22 stamps

Page 571. 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255,

270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480

2. 30

Review students’ work.

3. 600, 750



4. 18 fl owers

5. 43


1. 2; 4; 10; 12 R10

2. 180; 90; 14

3. 150; 300; 450; 7

4. 10; 5; 20; 28 R2

0Explanations will vary.

5. 210; 420; 630; 33 R7

6. 10; 20; 22

7. 250; 500; 750; 1,000; 39 R7

8. 4; 40; 80; 92


1. 18

2. 40

3. B

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1. 36 shelves

2. 51 books

3. 34

4. 44 R11



1. <

2. >3. <4. >


1. 29 students

2. 26 envelopes

3. 27 pages


4. 115 R2

5. 45

6. 14 R32


1. 654 apples

2. 937 oranges

3. a. 1,095 mangos

b. 905 mangos


1. 768 players

2. 14

3. 11 envelopes

0Review students’ work.

4. 3,422 people

5. 30 pattern blocks

6. 546


Answers will vary.

Sample answers:

1. 2 quarters, 2 dimes, 6 nickels, 600 pennies;

4 quarters, 5 dimes, 10 nickels, 500 pennies

2. 10 quarters, 125 pennies;

37 dimes, 1 nickel


1. 192 frames

2. 288 frames; 600 frames; 1,440 frames; 21 seconds

3. 720 pictures

4. Speeded up

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Unit 2 | Prisms and Pyramids 7

Page 1First answers will vary.

1. 24 cubes

2. 27 cubes

3. 40 cubes


4.

54 cubes

5.

48 cubes

6. 60 cubes


Page 41. 20 sugar cubes

2. 3 layers

3. 60 sugar cubes

4. First pattern

5. C


1. 1,674

2. 2,592


1. 16 cubes

2. 30 cubes

First answers will vary.

3.

36 cubes

4.

48 cubes

5.

60 cubes

UNIT 2: PRISMS AND PYRAMIDS

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1. 500 ÷ 27 = 18 R14

18 oranges

2. 400 ÷ 24 = 16 R16

17 crates

3. 200 ÷ 16 = 12 R8

12 1_2 crackers

Page 101. 12 cubes

2. 24 cubes

3. 36 cubes

4. 48 cubes



1. 30 cubes


Challenge: 10 boxes

Answers will vary.

Sample answers: 1 x 1 x 60; 1 x 2 x 30; 1 x 3 x 20; 1 x 4 x 15; 1 x 5 x 12; 1 x 6 x 10; 2 x 2 x 15; 2 x 3 x 10; 2 x 5 x 6; 3 x 4 x 5


1. 3,696

2. 2,166


1. 495 fi fth graders

2. 33 rows


3. 770 fi fth graders

4. 22 rows


A: 6 packages

B: 24 packages

C: 18 packages

D: 6 packages

E: 12 packages





5. 84 x 19 = 1,596

49 x 28 = 1,372

16 x 128 = 2,048

207 x 46= 9,522

Page 181. Two factors: 1 x 160; 2 x 80; 4 x 40; 5 x 32; 8 x 20;

10 x 16


Prime factorization: 2 x 2 x 2 x 2 x 2 x 5

2. Two factors: 1 x 240; 2 x 120; 3 x 80; 4 x 60; 5 x 48; 6 x 40; 8 x 30; 10 x 24; 12 x 20; 15 x 16


Prime factorization: 2 x 2 x 2 x 2 x 3 x 5


1. 120 units

2. 90 units

3. 140 units

4. 240 units

5. 288 units

Page 201.–3. Dimensions will vary.

Sample dimensions are given.


1. 48 cubes

96 cubes

4 x 6 x 4

2. 72 cubes

144 cubes

8 x 2 x 9

3. 120 cubes

240 cubes

8 x 5 x 6

Page 214.–6. Dimensions will vary.

Sample dimensions are given.


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Unit 2 | Prisms and Pyramids 9

4. 160 cubes

80 cubes

2 x 8 x 5

5. 180 cubes

90 cubes

6 x 5 x 3

6. Review students’ work.


1. a. Answers will vary.

b. 18


b. 25


A: 12 packages

D: 10 packages

E: 24 packages


1. 1,152 2. 2,263

3. 986 4. C


1. 24 cubes

2. 48 cubes

Dimensions will vary.

Sample answer: 4 x 3 x 4

Page 263. Review students’ work.

Challenge: 9 boxes

Answers will vary.

Sample answers: 1 x 1 x 48; 1 x 2 x 24; 1 x 3 x 16; 1 x 4 x 12; 1 x 6 x 8; 2 x 2 x 12; 2 x 3 x 8; 2 x 4 x 6; 3 x 4 x 4


Sample answer: Three packages of size A, eight packages of size B, six packages of size C, and two packages of size D will each fi ll a box with dimensions 2 x 2 x 6.

Challenge: Answers will vary.

Sample answer: 2 x 30 x 2


1. 1,225

2. 3,220



b. 22



b. 23

Page 311. Two factors: 1 x 120; 2 x 60; 3 x 40; 4 x 30;

5 x 24; 6 x 20; 8 x 15; 10 x 12

Combinations with more than two factors: 2 x 2 x 30; 2 x 3 x 20; 2 x 4 x 15; 2 x 5 x 12; 2 x 6 x 10; 3 x 4 x 10; 3 x 5 x 8; 4 x 5 x 6; 2 x 2 x 2 x 15; 2 x 2 x 3 x 10; 2 x 2 x 5 x 6; 2 x 3 x 4 x 5

Prime factorization: 2 x 2 x 2 x 3 x 5

2. Two factors: 1 x 210; 3 x 70; 5 x 42; 6 x 35; 7 x 30; 10 x 21; 14 x 15

Combinations with more than two factors: 3 x 7 x 10; 2 x 3 x 5 x 7

Page 321. 9; 8 x 9 = 72

2. 11; 6 x 11 = 66

3. 8; 7 x 8 = 56

4. 8; 12 x 8 = 96

5. 7; 11 x 7 = 77

6. 6; 9 x 6 = 54

7. 9; 12 x 9 = 108

8. 7; 7 x 7 = 49

Page 33Students should:

1. Circle 46 x 77; underline 39 x 86.

2. Circle 69 x 33; underline 36 x 58.

3. Circle 114 ÷ 6; underline 68 ÷ 34.

4. Circle 905 ÷ 5; underline 224 ÷ 16.

5. A


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U N I T 1

Number Puzzles and Multiple Towers 1–6

U N I T 2

Prisms and Pyramids 7–10

U N I T 3

Thousands of Miles, Thousands of Seats 11–15

U N I T 4

What’s That Portion? 16–20

U N I T 5

Measuring Polygons 21–26

U N I T 6

Decimals on Grids and Number Lines 27–32

U N I T 7

How Many People? How Many Teams? 33–37

U N I T 8

Growth Patterns 38–45

U N I T 9

How Long Can You Stand on One Foot? 45–47

Contents

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1. 322 players

2. 690 seats

3. $1,265

4. 644 players

Page 361. 72 centimeter cubes



Sample answers: 6 x 4 x 6; 3 x 8 x 6

b. Explanations will vary.


Page 374. a. Answers will vary.

Sample answers:

3 x 2 x 6

3 x 4 x 3

b. Explanations will vary.


Challenge: Answers will vary.

Sample answer:

6 x 8 x 6


Page 381. Victoria


2. A


1. 111 quarters


Sample answers:

2. 200 dimes, 155 nickels;

250 dimes, 55 nickels

3. 80 quarters, 70 dimes, 15 nickels;

100 quarters, 25 dimes, 5 nickels


1. 120; 150; 180

2. 450; 900

3. 144; 324; 576; 900

Page 431. 4 cm wide; 5 cm long; 5 cm high

100 cubic centimeters


2. C

Page 44 1. 6; 9 x 6 = 54

2. 11; 5 x 11 = 55

3. 7; 8 x 7 = 56

4. 7; 12 x 7 = 84

5. 7; 9 x 7 = 63

6. 12; 8 x 12 = 96

7. 8; 9 x 8 = 72

8. 8; 8 x 8 = 64

9. 9; 9 x 9 = 81

10. 9; 12 x 9 = 108



1. 24 magazines

2. a. 48 books

b. 24 books

c. 29 books, with 7 books left over


1. 1,755

2. 4,000

Page 491. 91,636,272 cubic feet

8,480,746 2 _ 3 cubic feet

83,155,525 1 _ 3 cubic feet

Page 502. 4,400 feet

3. With Great Pyramid dimensions:

274,908,816 cubic feet

With Pharaoh Menkaure’s pyramid dimensions: 25,442,240 cubic feet

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Unit 3 | Thousands of Miles, Thousands of Seats 11

Page 1 1. 3,277 2. 3,257

3. 3,317 4. 3,217

5. 3,367 6. 3,167

7. 3,767 8. 2,767

9. 9,692 10. 10,002

11. 9,682 12. 10,202

13. 9,502 14. 14,702

15. 7,702 16. 19,702


18. C


2. 850; 750 + 100 = 850

3. 1,250; 750 + 500 = 1,250

4. 1,950; 750 + 1,200 = 1,950

5. 350; 750 – 400 = 350

6. 4,750; 750 + 4,000 = 4,750

Page 3 7. 6,775; 5,275 + 1,500 = 6,775

8. 2,275; 5,275 – 3,000 = 2,275

9. 2,775; 5,275 – 2,500 = 2,775

10. 9,475; 5,275 + 4,200 = 9,475

11. 3,575; 5,275 – 1,700 = 3,575

12. 9,800; 10,000 – 200 = 9,800

13. 6,600; 10,000 – 3,400 = 6,600

14. 8,900; 10,000 – 1,100 = 8,900

15. 5,600; 10,000 – 4,400 = 5,600

16. 2,000; 10,000 – 8,000 = 2,000


1. 1,794

2. 2,142

3. A


1. 4,978

2. 8,460

3. 10,827


1. 9,927

2. 6,502


3. 1,994

4. 9,550


Sample answer: 75; 9,925



1. 1,596

2. 3,105

3. A


1. 9

2. 1,009

3. 3,009

4. 5,009

5. 788

6. 3,788

7. 7,788

8. 8,788

9. 1,515

10. 2,515

11. 4,515

12. 6,515

1. 5,500 2. 6,970

5,503 7,970

5,506 7,980

5,516 7,972

3. 10,150 4. 16,760

10,050 16,810

10,047 16,819

5. 25,830 6. 8,940

25,940 8,930

26,050 8,920

26,056 8,910

UNIT 3: THOUSANDS OF MILES, THOUSANDS OF SEATS

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7. 7,974 8. 137,560

7,975 138,060

7,985 138,065

7,995 138,075

9. 3,265 10. 89,945

3,165 89,745

3,065 89,735

3,075 89,635


1. 9,148

2. 3,895

3. 2,999


Sample answers:

4. 1,000; 9,000

5. 5,000; 5,000

Page 16 1. 9; 7 × 9 = 63

2. 8; 9 × 8 = 72

3. 7; 8 × 7 = 56

4. 7; 6 × 7 = 42

5. 11; 11 × 11 = 121

6. 12; 7 × 12 = 84

7. 6; 8 × 6 = 48

8. 4; 9 × 4 = 36

9. 6; 7 × 6= 42

10. 6; 9 × 6 = 54

Page 171. 4,830; 4,833; 4,843

2. 7,750; 7,740; 7,730

3. 13,398; 13,498; 13,548

4. 24,756; 24,766; 24,775

5. 11,532; 11,533; 11,543

6. 35,436; 36,436; 36,336

Page 191. 613

2. 815

3. 483

4. 416

5. 631


7. C


1. 1,294

2. 45 students


3. $4.34

4. 580

Page 22 1. 8; 4 × 8 = 32

2. 9; 8 × 9 = 72

3. 4; 7 × 4 = 28

4. 6; 7 × 6 = 42

5. 8; 11 × 8 = 88

6. 7; 12 × 7 = 84

7. 9; 5 × 9 = 45

8. 9; 9 × 9 = 81

9. 6; 3 × 6 = 18

10. 12; 8 × 12 = 96


1. 168

2. 1,193

3. $7.80

4. 477 students


1. 937 miles


2. 1,085 miles

3. 1,557 miles

4. 219 miles

5. 1,980 miles



b. 32


b. 25

3. D


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1. 426 miles


2. 931 miles

3. 1,354 miles

4. 539 miles


1. 1,713

a. 1,768

b. 500

c. 1,708

2. 911

a. 1,008

b. 300

c. 908


3. 5,145

a. 5,163

b. 1,500

c. 5,063

4. 5,886

a. 6,711

b. 3,900

c. 5,711


1. 473

2. 836

3. 2,483

4. D

Page 341. 800 + 50 + 13

– (200 + 40 + 7)

600 + 10 + 6

616

2. 200 + 120 + 5

– (100 + 60 + 4)

100 + 60 + 1

161

Page 353. 400 + 80 + 18

– (200 + 70 + 9)

200 + 10 + 9

219

4. 400 + 120 + 3

– (200 + 90 + 2)

200 + 30 + 1

231

Page 365. 600 + 110 + 10

– (400 + 90 + 9)

200 + 20 + 1

221


1. 1,784

a. 2,402

b. 1,700

c. 1,784

2. 4,575

a. 4,647

b. 2,300

c. 4,547


3. 3,236

a. 3,303

b. 900

c. 3,203

4. 7,472

a. 7,697

b. 4,300

c. 7,475


1. 1,248 miles


2. 474 miles

3. 619 miles

4. 1,057 miles

5. 426 miles

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Page 41 1. 12; 12 × 12 = 144

2. 4; 8 × 4 = 32

3. 7; 4 × 7 = 28

4. 8; 7 × 8 = 56

5. 10; 11 × 10 = 110

6. 8; 8 × 8 = 64

7. 7; 9 × 7 = 63

8. 9; 3 × 9 = 27

9. 7; 7 × 7 = 49

10. 9; 9 × 9 = 81

11. D


1. 2,295

2. 442 baseball cards

3. 4,590

4. 416


1. 988 students

2. 896 soccer players


4. 1,888 people

5. A


1. 489 miles


2. 497 miles

3. 1,633 miles

4. 423 miles



1. 19 shelves fi lled, 18 books left

2. 33 shelves

3. 42 books

4. 17 magazines

5. C


1. 7,715; 215

2. 7,052; 448

3. 7,512; 12

4. 7,529; 29

Page 521. 11,000 people

20,000 – 9,000 = 11,000

2. a. 14,000 people

9,000 + 5,000 = 14,000

b. 6,000 people

20,000 – 14,000 = 6,000

3. 18,500 people

20,000 – 1,500 = 18,500


64,035 – 10,000 = 54,035

5. 34,035 people

54,035 – 20,000 = 34,035

6. 9,035 people

34,035 – 25,000 = 9,035


69,703 – 2,500 = 67,203

8. 57,203 people

67,203 – 10,000 = 57,203

9. a. 47,800 people

10,000 + 37,800 = 47,800

b. 19,403 people

67,203 – 47,800 = 19,403

10. 42,203 people

67,203 – 25,000 = 42,203


Sample answers using Badger Arena:

11. 5,000 people

20,000 – 15,000 = 5,000

12. 18,700 people

20,000 – 1,300 = 18,700

13. 16,800 people

20,000 – 3,200 = 16,800

37662_01-47.indd 1437662_01-47.indd 14 8/17/07 8:16:45 AM8/17/07 8:16:45 AM



1. 35,464

2. 33,245

3. 18,688

4. A


1. 2,417

2. 8,095

3. 12,469


1. 286 seats

2. 39,812 tickets

3. 5,220 tickets

4. 115,600 tickets


5. 16,650 people

6. a. 53,367 people

b. 4,178 people

7. 8,462 people

8. 19,533 people


9. 53,016 tickets

10. 723 people

11. a. 1,299 people

b. 15,381 people


12. a. 11,415 people

b. 72,606 people

c. 915 people

13. 9,435 people



1. 18 rows

2. 9 rows

3. 2,592 raffl e tickets

4. $5,184

5. B


1. 13,403

2. 5,674

3. 1,976

4. 13,422


1. 27

2. 22

3. 22 × 27 = 594

4. 270

5. a. 540

b. 675


1. 11,825 people

2. a. 37,765 people

b. 2,235 people

3. 38,358 people

Page 691. 17 feet

2. 980 feet

3. 29,796 feet

37662_01-47.indd 1537662_01-47.indd 15 8/17/07 8:16:46 AM8/17/07 8:16:46 AM


Page 11. a. 2

_ 5

b. 3 _ 5

2. a. 6 pieces

b. 4 pieces

3. 5 _ 6

4. a. 14 words

b. 50%

Page 25. a. Students should circle 4 marbles.

b. 8 marbles

6. a. 6 children

b. 2_8


a. True

b. False

c. True

Page 31. 5,410

2. 2,998

3. 9,352

4. 4,849

5. 9,907


Page 5Fractions will vary.

Sample fractions are given.

Grid 1: 25%; 25 ___ 100 , 1 _ 4

Grid 2: 75%; 75 ___ 100 , 3 _ 4

Grid 3: 20%; 20 ___ 100 , 1 _ 5

Grid 4: 60%; 60 ___ 100 , 3 _ 5


1. 9,098

2. $210.22



Answers will vary.

Page 1050%

33 1 _ 3 %; 66 2 _ 3 %

25%; 50%; 75%

20%; 40%; 60%; 80%

16 2 _ 3 %; 33 1 _ 3 %; 50%; 66 2 _ 3 ; 83 1 _ 3 %

12 1 _ 2 %; 25%; 37 1 _ 2 %; 50%; 62 1 _ 2 %; 75%; 87 1 _ 2 %

10%; 20%; 30%; 40%; 50%; 60%; 70%; 80%; 90%

Page 111. 3_

5 ; 60%

2. 1_8 ; 12 1_2 %

3. 6_6 ; 100%

4. B


Answers will vary.

Page 131. A 2. B

3. B 4. C

5. C 6. A

7. A 8. A

9. D


Answers will vary.

Page 151. a. 15 students

b. 1_3 ; 33 1_3 %

c. 1_6 ; 16 2_3 %

d. 20 students

2. a. 50%

b. 15 words


3. 40 students

4. a. 24 fi fth graders

b. 37 1 _ 2 %

UNIT 4: WHAT’S THAT PORTION?

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Unit 4 | What’s That Portion? 17


1. 5,845

2. 8,830


Sample answers:

1. 1 _ 3 , 2 _ 6 , 3 _ 9

2. 1 _ 4 , 2 _ 8 , 3 __ 12

3. 2 _ 5 , 4 __ 10 , 40

___ 100

4. 3 _ 4 , 6 _ 8 , 9 __ 12

5. 4 _ 5 , 8 __ 10 , 80

___ 100

1. 1_

8 ; 1_6 ; 1_4 ; 1_3 ; 2_5 ; 1_2 ; 3_5 ; 5_8 ; 2_3 ; 3_4 ; 4_52. B


Sample answer:



1. 7 __ 10

2. 9 __ 10

3. 4 _ 3

4. 3 _ 8



5. 3_5

6. Martin

7. Charles

8. Answers will vary.Sample answer: Mercedes’ frozen yogurt was twice as large a Nora’s.

Page 231. 3,300; 3,303; 3,403

2. 6,580; 7,580; 7,590

3. 6,532; 6,533; 6,543

4. 13,020; 14,020; 14,057

5. 34,940; 35,040; 35,070; 35,073

6. 14,930; 14,910; 14,890; 14,885


Sample answers:

1. 2 _ 3 = 4 _ 6

2 _ 3 = 66 2 _ 3 %

2 _ 3 < 1

2. 3 _ 4 = 6 _ 8

3 _ 4 = 75%

3 _ 4 > 1 _ 2

3. 9 __ 12 > 8 __ 12

75% > 66 2 _ 3 %

Page 25Students should connect the following balls and goals:

1. Less than 1 _ 2 and 50%: 30%, 3 _ 8 , 4%, 1 _ 6 , 43%

Between 1 _ 2 and 1 and 50% and 100%: 3 _ 4 , 80%, 7 _ 8 , 69%, 95%

2. 70% > 1 _ 2


3. C

Page 261–3. Review students’ work.

Answers will vary.


1. a. 2 _ 3

b. 5 _ 8

c. 3 _ 6

d. Renaldo; Hana

2. 6 runners

3. Nora


4. Shandra

5. a. 16 students

b. 8 students

c. 4 students

d. 1 _ 8

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1. 8, 018

2. 10,708

3. 14,188

4. 79,392

Page 301 _ 4 ; 3 __ 10 ; 1 _ 3 ; 2 _ 5 ; 1 _ 2 ; 7 __ 10 ; 3 _ 4 ; 4 _ 5 ; 5 _ 6 ; 9 __ 10

Page 311. 1_

4 ; 1_3 ; 1_2 ; 3_5 ; 7_8 ; 9__10

Page 322. 0; 1 _ 6 ; 1 _ 4 ; 3 __ 10 ; 1 _ 3 ; 5 _ 8 ; 2 __ 3 ; 3 _ 4 ; 7 _ 8 ; 1

Page 331. False

2. True

3. True


1. 796

2. 13,161

3. 37,415

4. 6,329

Page 351_5 ; 1_4 ; 3__

10 ; 1_3 ; 3_8 ; 2_3 ; 7__10 ; 4_5 ; 5_6 ; 7_8

Page 371. 1

__ 12

2. 2 __ 12 ; 1 _ 6

3. 3 __ 12 ; 1 _ 4

4. 4 __ 12 ; 2 _ 6 ; 1 _ 3

5. 5 __ 12

6. 6 __ 12 ; 3 _ 6 ; 2 _ 4 ; 1 _ 2

7. 7 __ 12

8. 8 __ 12 ; 4 _ 6 ; 2 _ 3

9. 9 __ 12 ; 3 _ 4

10. 10 __ 12 ; 5 _ 6

11. 11 __ 12

12. 12 __ 12 ; 6 _ 6 ; 4 _ 4 ; 3 _ 3 ; 2 _ 2


1. 3 _ 4

2. 7 __ 12

3. 1 1__12


Answers will vary.

Page 401. True

2. False

3. False

Page 41Pair 1 and Pair 2: Review students’ work.

Answers will vary and should show the following:1 _ 3 > 1 _ 4

1 _ 2 < 3 _ 5

5 _ 8 < 7 __ 10

3 _ 2 > 4 _ 3

9 _ 5 > 7 _ 4

2 _ 3 < 5 _ 6

1 _ 8 < 2 __ 10

3 _ 4 < 4 _ 5


1. a. 37,507 tickets

b. 52,272 tickets

2. a. 37,017 tickets

b. 20,607 tickets

Page 44Round 1: 1 1 __ 12 ; 1; Alexander

Round 2: 11 __ 12 ; 11

__ 12 ; tie

Round 3: 7 __ 12 ; 7 __ 12 ; tie

Round 4: 1 1 __ 12 ; 1 1 _ 4 ; Nora

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Unit 4 | What’s That Portion? 19

Page 453 _ 4


Answers will vary.

Sample answer:

1_3

5__12

3_4


1. 11 __ 12

2. 11 __ 12

3. 1 _ 3

4. 2 1 _ 2 feet; 1 _ 4

5. 1 5 __ 12

Page 47Students should fi ll in the page based on game play.


1. 1 1 __ 12 ; 5 _ 6

Circled: 1 1 __ 12

2. 7 __ 12 ; 2 _ 3

Circled: 2 _ 3

3. B


1. 7__12

2. 3_8

3. 2_3

4. 1_2

5. 1 1_2

Page 51

0 __ 1 1 __ 2 1

0 __ 3 1 __ 3 2 __ 3 1

0 __ 4 1 __ 4 2 __ 4 3 __ 4 1

0 __ 5 1 __ 5 2 __ 5 3 __ 5 4 __ 5 1

0 __ 6 1 __ 6 2 __ 6 3 __ 6 4 __ 6 5 __ 6 1

0 __ 8 1 __ 8 2 __ 8 3 __ 8 4 __ 8 5 __ 8 6 __ 8 7 __ 8 1

0 __ 10 1 __ 10 2 __ 10 3 __ 10 4 __ 10 5 __ 10 6 __ 10 7 __ 10 8 __ 10 9 __ 10 1


1. 13,163 books

2. 5,712 books

3. 2,319 books

4. 5,092 books


1. 9__10 ; 5_6

Circled: 9__10

2. 1; 3_4 Circled: 1

3. C

Page 55Round 1: 5 _ 6 ; 11

__ 12 ; Hana

Round 2: 11 __ 12 ; 1 1 __ 12 ; tie

Round 3: 1; 1 1 __ 12 ; Renaldo

Round 4: 1 1 _ 6 ; 1; Hana

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1. 6,204 feet

2. 13,010 feet

3. 3,497 feet

4. Mount McKinley


Sample answers:

1. 2 _ 4 , 3 __ 6 , 4 _ 8 , 5 __ 10 , 6 __ 12

2. 2 _ 6 , 3 __ 9 , 4 __ 12 , 5 __ 15 , 6 __ 18

3. 6 _ 8 , 9 __ 12 , 12

__ 16 , 15 __ 20 , 18

__ 24

4. 4 __ 10 , 6 __ 15 , 8 __ 20 , 10

__ 25 , 40 ___ 100

Page 59Students should fi ll in the page based on game play.


1. 1 1 _ 6 loaves of bread

2. 1 5 _ 8

3. 1 1 _ 3


4. 1_2 brownie

5. 2 1_46. 2_

3



7. True

8. False

9. Yes


1. =2. >3. >


1. 12,000

– 6,944

5,056

2. 335

517

+ 448

1,300

3.–4. It is impossible.



Answers will vary.

Sample answers:

1. 4 _ 5 + 2 __ 10

1 _ 2 + 1 _ 5 + 3 __ 10

1 __ 12 + 1 _ 6 + 1 _ 4 + 5 __ 10

2. 5 _ 4 + 2 _ 8

1 _ 2 + 3 _ 4 + 2 _ 8

1 _ 3 + 1 _ 4 + 1 _ 6 + 6 _ 8


1. <2. >3. =


Answers will vary.

Page 701. 1 1_2 miles

2. a. 9__10 mile

b. 7_8 mile

c. Millweed Pond

3. 2 1_8 miles

4. 5_8 mile

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Unit 5 | Measuring Polygons 21


Answers will vary.


.–4. Review students’ work.

Answers will vary.


Page 3Students should circle the following triangles:

1. Third triangle (no right angle)

2. First triangle (no right angle)

3. A


1. 10 students

2. 1_2 ; 50%

3. 1_5 ; 20%

4. 1__20 ; 5%


Answers will vary.



Answers will vary.


Page 7Students should circle the following quadrilaterals:

1. Second quadrilateral (only 1 pair of parallel sides)

2. First quadrilateral (all sides are not equal in length)

3. C


Yes. A square is a rhombus.

Yes. A square is a rectangle.


Not necessarily.

Not all rectangles are squares.

Yes. All rectangles are parallelograms.


4. a. All

b. Some

c. Some

d. All

e. Some



Sample answers:

1. 2 _ 4 , 3 _ 6 , 4 _ 8 , 5 __ 10 , 6 __ 12

2. 4 _ 6 , 6 _ 9 , 8 __ 12 , 10

__ 15 , 12 __ 18

3. 75 ___ 100 , 3 _ 4 , 6 _ 8 , 9 __ 12 , 12

__ 16

4. 60 ___ 100 , 30

__ 50 , 15 __ 25 , 6 __ 10 , 3 _ 5


3.–4. Explanations will vary.


1. Yes

2. No

3. No


1. a. 3_4

b. 5_8

c. 5_6

d. Deon; Olivia

2. Zachary


Sample answer: Mitch’s sandwich was half the size of Lourdes’ sandwich.

Page 15Students should circle the following fi gures:

1. First and third fi gures

2. First, third, and fourth fi gures



UNIT 5: MEASURING POLYGONS

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60˚

N

60˚ 60˚

45˚

F

90˚ 45˚

30˚

L

90˚ 60˚

30˚

J

120˚ 30˚

90˚ 90˚

C

90˚ 90˚

60˚ 120˚

M

120˚ 60˚


120˚ 120˚

K

60˚ 60˚

30˚ 150˚

O

150˚ 30˚

60˚ 120˚

G

120˚ 60˚

120˚ 120˚

120˚ H 120˚

120˚ 120˚


1. 180º

2. Yes

3. The sums are 360º


Page 201. Students should circle the following shapes:

A, B, D, F, G, H

2. Parallelograms: B, D, F, G

Rectangles: F, G

Rhombuses: B, F

3. A, B, D, H

4. B


1. 4 _ 5 2. 5

__ 10

3. 1 3 _ 4 4. 1 1 _ 4


4. C


1. 5 _ 6

2. 4 __ 10

3. 1 2 _ 3

4. 1 3 _ 8

Page 25Students should circle the following shapes:

1. None

2. Second shape

3. None

4. Third shape

5. Second shape

6. D

Page 271. Dimensions of Square Perimeter Area

1 inch by 1 inch 4 inches 1 square inch

2 inches by 2 inches 8 inches 4 square inches







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a. 24 inches

b. 16 inches

c. 32 square inches

d. 8 square inches

2. All the rectangles have the same area.

Rectangle C has the longest perimeter.


1. False

2. True

3. True

Page 311. 4 square inches

16 square inches

2. 9 square inches

36 square inches

3. The area of the larger square is 4 times larger than the area of the smaller square.


Page 325. 8 inches

16 inches

6. 12 inches

24 inches

7. The perimeter of the larger square is double that of the smaller square.



1. 1_2 + 1_6

2. Neither. They are equal.

3. 5_8 + 1_2 + 1_4

4. 1_8 + 3_4

Page 341. H, J

2. D, F

3. G, L

4. B, E, F

5. H, L

6. E, F

7. I, J

8. C, E, F

9. I, J


Dimensions of Rectangle

Perimeter Area

1. Original3 inches × 4 inches

14 inches12 square

inches

2. All sides x 26 inches × 8 inches

28 inches48 square

inches


42 inches108 square

inches


56 inches192 square

inches


70 inches300 square

inches


84 inches432 square

inches

7. 30 inches × 40 inches

140 inches

1,200 square inches


Page 36 8. When each dimension is doubled the perimeter is

doubled.

9. When each dimension is doubled the area is quadrupled.

10. Yes


Page 371 _ 8 ; 1 _ 5 ; 3 __ 10 ; 3 _ 8 ; 1 _ 2 ; 3 _ 5 ; 7 __ 10 ; 3 _ 4 ; 7 _ 8 ; 9 __ 10

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Perimeter Area

1. Original1 inch ×

4 inches10 inches

4 square inches

2. All sides x 22 inches ×

8 inches20 inches

16 square inches


30 inches36 square

inches


40 inches64 square

inches


50 inches100 square

inches



Dimensions Perimeter Area

1. 8 inches by 3 inches 22 inches 24 square inches



4. 1 inch by 24 inches 50 inches 24 square inches

5. The area stays the same.

6. The perimeter changes.



1. a. 24 inches

b. 36 inches

c. 35 square inches

d. 42 square inches

2. The perimeter is the same for all the rectangles.

The 6 × 6 rectangle has the largest area.


1. 90 feet

2. 19 feet

3. 36 feet



1. 1 foot × 14 feet 30 feet 14 square feet

2. 2 feet × 13 feet 30 feet 26 square feet






8. 7 feet × 8 feet

9. 1 foot × 14 feet









5. 1 inch by 192 inches 386 inches 192 square inches

6. The area remains the same.

7. The perimeter gets longer.



1. 9 feet × 9 feet

2. 3 feet × 15 feet

3. 6 feet × 12 feet

4. B

Page 461. 40%; 40

___ 100 , 2 _ 5

2. 30%; 30 ___ 100 , 3 __ 10

3. 50%; 50 ___ 100 , 1 _ 2

4. 20%; 20 ___ 100 , 1 _ 5

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Perimeter Area

1. Original2 inches ×

4 inches12 inches

8 square inches

2. All sides x 24 inches ×

8 inches24 inches

32 square inches


36 inches72 square

inches


48 inches128 square

inches


60 inches200 square

inches



Polygon Original

Number of Pieces in Similar (Larger) Shapes

2nd 3rd 4th 5th

1. square B 1 4 9 16 25

2. rectangle C 1 4 9 16 25

3. triangle N 1 4 9 16 25

4. triangle J 1 4 9 16 25

5. rhombus M 1 4 9 16 25

6. parallelogram O 1 4 9 16 25

7. 100

8. 100

Page 50Students should shade the following number of squares:

1. 25 squares25___

100 , 1_42. 30 squares

30___100 , 3__

10

3. 80 squares

80%

4. 66 2_3 squares

66 2_3 %

Page 51Students should circle the following sets of fractions:1 _ 6 + 2_3 + 2__

121 __ 12 + 1 _ 4 + 2 _ 3


Page 542. Explanations will vary.

Answers will vary.

Sample answers:

Second hexagon fi gure: Third hexagon fi gure:

Piece Number Used

triangle N 0

rhombus M 3

trapezoid K 0

hexagon H 3

Piece Number Used

triangle N 12

rhombus M 0

trapezoid K 2

hexagon H 6

3. The area is 4 of hexagon H.

4. The area is 9 of hexagon H.

Page 551.

8 square units

32 square units

2.

7 triangle units

63 triangle units

3. C

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Page 561.

6 square units

24 square units

2.

5 square units

45 square units




2. 4 times larger

9 times larger

3. 2 times as long

3 times as long


1. a. 12 students

b. 33 1 _ 3 %

c. 1 _ 6 ; 16 2 _ 3 %

2. a. 50%

b. 10%

c. 20%

d. 6 students; 20%

Page 591. 7 square units; 28 square units

2. 8 triangle units; 32 triangle units

3. 24 square units; 6 square units

4. 20 triangle units; 5 triangle units

5. 4 times as large

6. B


1. Similar

2. Similar

3. Not similar

4. B


1. 7 __ 12 of a pan

2. 1 7 _ 8

3. 3 1 _ 6

Page 631. Side A Side B Side C Side D

Austin’s Pool 8 ft 16 ft 8 ft 16 ft

Brochure Pool 4 ft 8 ft 4 ft 8 ft



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Unit 6 | Decimals on Grids and Number Lines 27

Page 21. 25

___ 100 , 1 _ 4 ; 0.25; 25%

2. 10 ___ 100 , 1 __ 10 ; 0.10, 0.1; 10%

3. 20 ___ 100 , 1 _ 5 ; 0.20, 0.2; 20%

4. 70 ___ 100 , 7 __ 10 ; 0.70, 0.7; 70%

Page 35. 75___

100 , 3_4 ; 0.75; 75%

6. 65___100 , 13__

20 ; 0.65; 65%

7. 42___100 , 21__

50 ; 0.42; 42%

8. 80___100 , 4_5 ; 0.80, 0.8; 80%

Page 49. 5

___ 100 , 1 __ 20 ; 0.05; 5%

10. 1 ___ 100 ; 0.01; 1%

11. Students should shade 40 squares.

Answers will vary.

Sample answers: 40 ___ 100 , 2 _ 5 , 0.4, 40%


Answers will vary.

Sample answers: 98 ___ 100 , 49

___ 100 , 0.98, 98%

Page 51. 25___

100 , 1_4 ; 0.25; 25%

2. 3___100 ; 0.03; 3%


Answers will vary.

Sample answers: 80___100 , 4_5 , 0.8, 80%


Answers will vary.

Sample answers: 43___100 , 43%

5. B


1. 3,831

2. 1,403

3. 18,592

4. 39,774

5. 11,007

Page 91. Students should shade 75 squares.

Answers will vary.

Sample answers: 0.750, 75___100 , 750____

1,000 , 3_4 , 75%

Page 102. Students should shade 12 1 _ 2 squares.

Answers will vary.

Sample answers: 125 ____ 1,000 ,

12 1 _ 2 ___ 100 , 1 _ 8 , 12 1 _ 2 %


Answers will vary.

Sample answers: 0.30, 3 __ 10 , 30 ___ 100 , 30%


Answers will vary.

Sample answers: 0.150, 15___100 , 3__

20 , 15%


Answers will vary.

Sample answers: 0.780, 78 ___ 100 , 39

__ 50 , 78%

Page 146. Students should shade 62 1_2 squares.

Answers will vary.

Sample answers: 625____1,000 ,

62 1 _ 2 ___100 , 5_8 , 62 1_2 %

Page15Students should connect the following:

1. Grid 1: 0.2, 200 ____ 1,000

Grid 2: 0.33, 33 ___ 100

Grid 3: 1 _ 8 , 0.125, 125 ____ 1,000

2. B


Answers will vary.


1. 2,204

2. 2,668

3. B

UNIT 6: DECIMALS ON GRIDS AND NUMBER LINES

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Page 191. Month Precipitation

February 0.31

January 0.32

March 0.78

April 0.88

May 1.25

2. Month Precipitation

February 3.01

January 3.24

March 3.46

April 3.75

May 3.96


1. 3,510

80 × 45 = 3,600

70 × 40 = 2,800

2. 4,096

32 × 100 = 3,200

10 × 128 = 1,280

3. B

Page 221. Month Precipitation

April 4.48

January 4.76

February 5.46

May 5.74

March 6.41


June 1.12

October 1.35

July 2.17

September 2.43

August 2.71

Page 231.–2. Equivalents will vary.

Sample answers are given.

Students should shade the following number of squares:

1. 50 square.

0.50, 50___100 , 5__

10 , 1_2 , 50%

2. 29 1_2 squares295____

1,000 , 29 1 _ 2 ___100 , 29.5%

Page 243.–4. Equivalents will vary.

Sample answers are given.

Students should shade the following number of squares:

3. 83 squares

0.830, 83 ___ 100 , 83%

4. 15 squares

0.15, 150 ____ 1,000 , 15

___ 100 , 3 __ 20 , 15%


5. Hana

6. Mitch

7. Corn

Page 261. 0.123; 0.165; 0.245; 0.333; 0.400; 0.5; 0.601; 0.625;

0.661; 0.75; 0.79

2. A

Page 27Women: 55.96; 56.63; 56.65; 56.75; 57.02

Men: 49.91; 50.14; 50.50; 50.54; 50.54


Sample answer:

0.075, 0.1, 0.275

0.3, 0.35, 0.55

0.6, 0.75, 0.875

2. C

Women: 2:11.08; 2:11.73; 2:13.95; 2:16.20; 2:16.76

Men: 2:00.03; 2:00.66; 2:00.67; 2:01.26; 2:02.61

37662_01-47.indd 2837662_01-47.indd 28 8/17/07 8:16:55 AM8/17/07 8:16:55 AM


1.

Team Wins LossesRecord*

(decimal)Rank Winning

Percentage

Bluebirds 20 5 0.800 1 80%

Cardinals 12 12 0.500 4 50%

Orioles 16 9 0.640 3 64%

Penguins 10 15 0.400 5 40%

Robins 19 6 0.760 2 76%

2.



Percentage

Cheetahs 20 20 0.500 3 50%

Leopards 10 30 0.250 5 25%

Jaguars 18 23 0.439 4 43.9%

Tigers 35 5 0.875 1 87.5%

Lions 34 5 0.872 2 87.2%

Page 35

Page 32360

Two factors: 1 × 360; 2 × 180; 3 × 120; 4 × 90; 5 × 72; 6 × 60; 8 × 45; 9 × 40; 10 × 36; 12 × 30; 15 × 24; 18 × 20


Prime factorization: 2 × 2 × 2 × 3 × 3 × 5

600

Two factors: 1 × 600; 2 × 300; 3 × 200; 4 × 150; 5 × 120; 6 × 100; 8 × 75; 10 × 60; 12 × 50; 15 × 40; 20 × 30; 24 × 25


Prime factorization: 2 × 2 × 2 × 3 × 5 × 5

Page 33Women: 26.10; 26.11; 26.16; 26.19; 26.19

Men: 22.75; 22.86; 23.03; 23.04; 23.08

Page 35See below



b. 15


b. 35

3. A

N

__ D 1 2 3 4 5 6 7 8 9 10 11 12

1 1 2 3 4 5 6 7 8 9 10 11 12

2 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6

3 0.3 0.6 1 1.3 1.6 2 2.3 2.6 3 3.3 3.6 4

4 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3

5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4

6 0.16 0.3 0.5 0.6 0.83 1 1.16 1.3 1.5 1.6 1.83 2

7 0.142857 0.285714 0.428571 0.571428 0.714285 0.857142 1 1.142857 1.285714 1.428571 1.571428 1.714285

8 0.125 0.25 0.375 0.5 0.625 0.75 0.875 1 1.125 1.25 1.375 1.5

9 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 1 1.1 1.2 1.3

10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2

11 0.09 0.18 0.27 0.36 0.45 0.54 0.63 0.72 0.81 0.90 1 1.09

12 0.083 0.16 0.25 0.3 0.416 0.5 0.583 0.6 0.75 0.83 0.916 1

37662_01-47.indd 2937662_01-47.indd 29 8/17/07 8:16:55 AM8/17/07 8:16:55 AM


Page 371.



Percentage

Dolphins 15 34 0.306 5 30.6%

Guppies 38 11 0.776 2 77.6%

Marlins 25 25 0.500 3 50%

Sharks 24 25 0.490 4 49%

Swordfi sh 40 10 0.800 1 80%

2.



Percentage

Wolves 98 27 0.784 1 78.4%

Coyotes 63 61 0.508 3 50.8%

Bobcats 96 28 0.774 2 77.4%

Wildcats 62 62 0.500 4 50%

Tigers 60 64 0.484 5 48.4%

Page 38 1. 6; 7 × 6 = 42

2. 12; 6 × 12 = 72

3. 6; 8 × 6 = 48

4. 12; 9 × 12 = 108

5. 5; 12 × 5 = 60

6. 6; 6 × 6 = 36

7. 8; 12 × 8 = 96

8. 9; 7 × 9 = 63

9. 8; 9 × 8 = 72

10. 6; 9 × 6 = 54

Page 390.3

5.25; 525%

0.6; 66 2_3 %

2 1_20.16;16 2_3 %3_4 ; 0.75

0.8; 80%3_8 ; 37.5%



2. 29 or 30 teams

3. 16 students

4. 2,033 people


1. 1 _ 5

2. 0.95

3. Yes

4. Tavon


1. 3,492 stickers

2. a. 31 bags

b. $434

3. a. 18 pages

b. $870

Page 441.

Month Precipitation

May 0.12

June 0.13

April 0.22

January 0.67

February 0.68


October 0.21

September 0.28

December 0.38

November 0.43

August 0.49

Page 451. 1.525 grams



37662_01-47.indd 3037662_01-47.indd 30 8/17/07 8:16:56 AM8/17/07 8:16:56 AM



Students should circle the following estimates:

1. 2,400

2. 2,600

3. 5,500

4. 9,000

5. 83 × 29 = 2,407

69 × 38 = 2,622

26 × 211 = 5,486

496 × 18 = 8,928

Page 470.05; 0.25; 0.3; 0.325; 0.475; 0.55; 0.65; 0.75; 0.8; 0.95


Answers will vary.


Answers will vary.


1. 26

2. 22

3. 26 × 22 = 572

4. 260

5. a. 780

b. 832


1. 6.4 miles

2. 1.03 grams

3. 4.944

4. 3.35 miles

5. 2.09


6. 6.87 inches

7. 2.23 inches

8. 3.35 inches

9. 9.05 inches

10. 9.06 inches

Page 541. Nan: 18.925

Kwang: 17.425

Elena: 18.612

Carly: 19.087

Daniela: 18.949

Katy: 18.187

2. Carly, Nan, Daniela, Elena, Katy, Kwang

3. A


1. 0.85

2. 0.85

3. 0.8

4. 0.95

5. Charles


Page 581.–4. Students should fi ll in the recording sheet based

on game play.



1. 3.24 grams

2. 7.13 miles

3. 5.88 miles

4. 2.305 grams


5. 6.434

6. John Abercrombie: 54.64

Daniel Rohleder: 54.17

Matthew Scanlan: 54.81

Jonathan Schmidt: 54.19

William Stovall: 54.24

7. Daniel Rohleder: 54.17

Jonathan Schmidt: 54.19

William Stovall: 54.24

John Abercrombie: 54.64

Matthew Scanlan: 54.81

37662_01-47.indd 3137662_01-47.indd 31 8/17/07 8:16:57 AM8/17/07 8:16:57 AM



8. Kimberly Vandenberg: 60.25

Misty Hyman: 60.35

Morgan Scroggy: 60.16

Shelly Ripple Johnston: 61.16

Tanica Jamison: 59.23

9. Tanica Jamison: 59.23

Morgan Scroggy: 60.16

Kimberly Vandenberg: 60.25

Misty Hyman: 60.35

Shelly Ripple Johnston: 61.16

Page 621. Rafael Martinez: 19.200

Dae Eun Kim: 19.425

Fabian Hambuechen: 18.862

Paul Hamm: 19.562

Marian Dragulescu: 19.049

Wei Yang: 19.400

2. Paul Hamm: 19.562

Dae Eun Kim: 19.425

Wei Yang: 19.400

Rafael Martinez: 19.200

Marian Dragulescu: 19.049

Fabian Hambuechen: 18.862

3. C

Page 631. 1.083; 0.832

2. 1.058; 0.999

3. 0.267; 0.935

4. 1.001; 0.54

5. 0.977; 0.900


1. 8.29 inches

2. 6.05 inches

3. 6.57 inches

4. 9.48 inches

5. 30.39 inches


Students should circle:

1. 420 × 4; 7 × 240; 84 × 20

2. 100 × 80; 10 × 800; 10 × 10 × 10 × 8

3. 720 ÷ 12; 240 ÷ 4; 360 ÷ 6

4. B

Page 6610 Charles Hamelin

6 Peter Darazs

8 Ho-Suk Lee

2 Fabio Carta

3 Apolo Anton Ohno

9 JiaJun Li

7 Hyun-Soo Ahn

1 Mathieu Turcotte

5 Niels Kerstholt

11 Viktor Knoch

4 Satoru Terao


37662_01-47.indd 3237662_01-47.indd 32 8/17/07 8:16:57 AM8/17/07 8:16:57 AM

Unit 7 | How Many People? How Many Teams? 33

Page 11. Yes


Page 21. 5 x 8


3. C

Page 31. 3; 12; 21



3. C

Page 5 1. True

2. False

3. False

4. False

5. False

6. 4

7. 48

8. 2

9. 30

10. 15 or 1 × 15


Sample answers:

1. 20 × 64; 80 × 16

2. They are multiples or factors of 40 and 32.

Page 81. 11

2. 36

3. 84. 32

5. 26.–7. Answers will vary.

8. D


Sample answers:

12 × 36; 8 × 54

Page 111. 20




Sample answer: 180 ÷ 30

Page 12Students should circle:

1. Ted Williams: 0.344

2. Joe DiMaggio: 0.325

3. Babe Ruth: 0.342

4. Ty Cobb: 0.366

5. Stan Musial: 0.331

6. Yogi Berra: 0.285

7. Mickey Mantle: 0.298

8. Roberto Clemente: 0.317

Page 1375 × 42 = 3,150; 275 × 8 = 2,200; 186 × 34 = 6,32463 × 24 = 1,512; 134 × 26 = 3,484


Answers will vary.


Answers will vary.

Page 15Students should place the decimals on the number line in the following order:

0, 0.16, 0.235, 0.284, 0.492, 0.5, 0.773, 0.821, 1, 1.5, 1.899, 1.9, 2, 2.045, 2.16, 2.492, 2.5

Page 1695 × 64 = 6,080; 225 × 25 = 5,625

187 × 42 = 7,854; 72 × 45 = 3,240

1.–2. Review students’ work.

Answers will vary.

Page 1778 × 27 = 2,106; 54 × 41 = 2,214; 743 × 6 = 4,458

218 × 15 = 3,270; 145 × 35 = 5,075; 264 × 24 = 6,336


Answers will vary.


1. 3,220

2. 4,248

3. C

UNIT 7: HOW MANY PEOPLE? HOW MANY TEAMS?

37662_01-47.indd 3337662_01-47.indd 33 8/17/07 8:16:58 AM8/17/07 8:16:58 AM


Page 191. 1,620


Page 21Solution 1 Solution 2

138

× 24

2,000

600

160

400

120

+ 32

3,312

1 13

138

× 24

552

+ 2,760

3,312


3. Solution 1 Solution 2

184

× 61

6,000

4,800

240

100

80

+ 4

11,224

5 2

184

× 61

184

+ 11,040

11,224


1. 7,200

2. 6,111

3. B

Page 241. 896 players

2. 4,320 players

3. 2,040 players


1. 3,738

2. 3,492

3. 7,560

4. 9,920

5. 26,082


1. 12.565 miles

2. 9.22 miles

3. 18 miles

4. 2.761

Page 27 1. 0.65

2. 0.2

3. 0.45

4. 0.1

5. 0.525

6. 0.7

7. 0.25

8. 0.05

9. 0.725 or 0.775

10. 0.325

11. D

Page 281. 1,008 pencils

2. 15 bags

3. 18 boxes

4. 1,476 books

Page 291. 13 R28

2. 32 teams and 6 students left over

3. 54 R22

4. 47 envelopes

Page 30 1. 3 stickers

2. 6 stickers

3. 16 stickers

4. 3 cubes

5. 7 cubes

6. 18 cubes

7. 10 pens

8. 21 pens

9. 54 pens

10. D

37662_01-47.indd 3437662_01-47.indd 34 8/17/07 8:16:58 AM8/17/07 8:16:58 AM



1. 6 2. 3

3. 10 4. 8

5. 70 6. 50

7. 40 8. 15

9. 240 10. 70


1. 67 students

2. 26

3. 54

4. 40

Page 341. 31 R4

2. 32 bags

3. 31 pounds

4. 31 boxes

5. 27 boxes with 16 cows

4 boxes with 17 cows

6. B


1. 1,305

2. 28 students

3. 29

4. 1,820

1. 47 R26

a. 20

b. 1,680

c. Answers will vary.

2. 23 full bags

a. 20

b. 280


Page 383. 85 R4

a. 2,400

b. 40


4. 37 boxes with 11 cookies left over

a. 660

b. 20


Page 395. 249 R1

a. 400

b. 250


6. 27 students

a. 20

b. 1,000



1. 20 packages

$19.80

2. 5 packages

$17.45

3. 20 packages

$25.80

4. 17 packages of pencils

6 packages of glue sticks

$16.83 + $20.94 = $37.77


5. 25 packages of pencils

25 packages of pens

$24.75 + $49.50 = $74.25


Sample answers:

2 pencils and 1 eraser

The total cost is $44.10, so they would return $5.90.


1. 5,213

2. 1,702

3. 5,144

4. 68 R2

5. 54 R7

6. C

37662_01-47.indd 3537662_01-47.indd 35 8/17/07 8:16:59 AM8/17/07 8:16:59 AM



1. 40

2. 27 students

3. 29 students


First steps will vary.

1. 2,117

2. 5 R12

3. 144 R2

4. 3,374

5. 12 R6

6. A

Page 461. $119.88

2. $39.90

3. $89.82

4. $179.94

5. $104.97

Page 47498 ÷ 9 = 55 R3

376 ÷ 6 = 62 R4

685 ÷ 34 = 20 R5

2,837 ÷ 52 = 54 R29

3,989 ÷ 49 = 81 R20


Answers will vary.


Answers will vary.

Page 49 1. 1,860 2. 105

3. 4,880 4. 400

5. 1,800 6. 36

7. 12,800 8. 6

9. 56,000 10. 50

11. D


1. 64 R2 2. 19 R27

3. 41 R13 4. 20 R31


1. 24

2. 20 R8

3. A

Page 531. Nutrition bars and fruit juice or bottled water; 15

boxes of nutrition bars and 29 boxes of fruit juice or 10 cases of bottled water

2. $155.26 for nutrition bars and fruit juice; $109.75 for nutrition bars and bottled water

Page 541. Largest: 46 × 77 = 3,542

Smallest 39 × 86 = 3,354

2. Largest: 3,400 ÷ 34 = 100

Smallest: 1,680 ÷ 24 = 70

3. C


1. 4,000 2. 420

3. 3,750 4. 195

5. 600 6. 60

7. 30 8. 70

9. 50 10. 140


Grade Number of Teams

Students Not on a Team

Third 10 3

Fourth 14 3

Fifth 18 6


Grade Number of Students on a Team

Third5 teams of 7 students

and 6 teams of 8 students

Fourth5 teams of 11 students


Fifth7 teams of 14 students


37662_01-47.indd 3637662_01-47.indd 36 8/17/07 8:17:00 AM8/17/07 8:17:00 AM



1. 59 third graders

2. 24 third graders

3. 174 students


1. 11 full classrooms

18 students in the classroom that is not full

2. 12 teams with 13 students and 16 teams with 12 students

Page 611. 480 balloons

12 balloons

2. 450 cards

18 boxes

3. $684

$76

4. D5. B


1. 2,300 2. 17,500

3. 1,200 4. 1,200

5. 8,000 6. 2

7. 200 8. 50

9. 36 10. 500


1. 1,400 balloons

$19.92

2. 9 packages

$44.91

3. 18 packages

$52.02


1. 47,872

2. 61,101

3. 64,827



5. 94 R3

6. 64 R56

7. 147 R4


Page 661. 31,962

2. 337

3. 95,690

4. A


1. 1,800 cans of juice

2. 3,000 cans of juice

3. 1,440 oranges

4. 2,700 oranges


1. 12,816

2. 143 R9

3. C


1. 20 cases

2. 40 cases

3. 60 cases


1. 2,040 mph

2,720 mph

3,400 mph

2. 56 2 _ 3 miles per minute

3. a. 6,800 mph

b. 113 1 _ 3 miles per minute

37662_01-47.indd 3737662_01-47.indd 37 8/17/07 8:17:00 AM8/17/07 8:17:00 AM





1. 4,275

2. 9,981

3. 1,893

4. 9,709

5. B


1. 8,923

2. 8,865

3. 7,848

4. 2,766


Sample answers:

Age (years)

Tony’s Height (cm)

Maya’s Height (cm)

Susie’s Height (cm)

2 85 90 80

3 91 99 85

4 97 108 90

5 103 117 95

6 110 126 100

7 116 135 107

8 122 139 115

9 128 142 118

10 135 145 120


Sample answer:

Tony, Maya and Susie

Hei

ght (

cent

imet

ers)

150145140135130125120115110105100

9590858075

2 3 4 5 6 7 8 9 10Age (years)

SusieTonyMaya


1. 16,118

2. 12,003

3. B

Page 9Height (cm): 13; 16; 19; 22; 25; 28; 31; 34; 49; 304

Page 101.–2. Explanations will vary.

Page 11

Hei

ght (

cent

imet

ers)

40Graph of Flickerbill’s Growth

35

30

25

20

15

10

5

00

(birth) 1 2 3 4 5 6 7 8 9 10

Age (years)

UNIT 8: GROWTH PATTERNS

37662_01-47.indd 3837662_01-47.indd 38 8/17/07 8:17:01 AM8/17/07 8:17:01 AM

Unit 8 | Growth Patterns 39


1. 674

2. 6,283

3. C


Page 15

Age (years)

Height (cm)

Krink Trifoot Water Weasel

0 (birth) 1 15 15

1 6 17 20

2 11 19 25

3 16 21 30

4 21 23 35

5 26 25 40

6 31 27 45

7 36 29 50

8 41 31 55

9 46 33 60

10 51 35 65

15 76 45 90

100 501 215 515

Page 16Animals of Rhoma

Hei

ght (

cent

imet

ers)

70

65

60

55

50

45

40

35

30

25

20

15

10

5

00

(birth) 1 2 3 4 5 6 7 8 9 10

Age (years)

Page 171. 9,074; 8,974; 8,924

2. 5,595; 5,605; 5,615

3. 17,698; 17,898; 17,900

4. 22,038; 26,038; 26,043

5. 4,980; 4,880; 4,890

6. 22,536; 24,536; 24,336

Page 18Height (cm): 22; 29; 37; 46; 56

Krink

Krink

TrifootTrifoot

Water W

easel

Water W

easel

37662_01-47.indd 3937662_01-47.indd 39 8/17/07 8:17:02 AM8/17/07 8:17:02 AM


Page 19Fastwalker

70

65

60

55

50

45

40

35

30

25

20

15

10

5

00

(birth)1 2 3 4 5 6 7 8 9 10 11 12

Age (years)



1. $60.13

2. 15,862

3. 30,416

4. 59,052

5. B

Page 22

Age

(years)

Height (cm)

Spiraltail Inksnake

0 (birth) 2.5 15

1 5 16.5

2 7.5 18

3 10 19.5

4 12.5 21

5 15 22.5

6 17.5 24

7 20 25.5

8 22.5 27

9 25 28.5

10 27.5 30

Page 231. 9; 12; 15; 18; 30; 45; 60; 300; 3 × n


Page 251. Arithmetic expressions will vary.

Sample expressions are given.

Number of Rows

Perimeter (cm)

Arithmetic Expression

1 8 2 × (1 + 3)

2 10 2 × (2 + 3)

3 12 2 × (3 + 3)

4 14 2 × (4 + 3)

5 16 2 × (5 + 3)

6 18 2 × (6 + 3)

10 26 2 × (10 + 3)

15 36 2 × (15 + 3)

20 46 2 × (20 + 3)

100 206 2 × (100 + 3)

n 2n +6 2 × (n + 3)

37662_01-47.indd 4037662_01-47.indd 40 8/17/07 8:17:03 AM8/17/07 8:17:03 AM


Page 262. Increases by 2 cm



1. 98,673

2. 22,641

3. 8,858

4. $762.83

5. A


1. 52,752

2. 62,002

3. 45,103

4. 60,991


1. 15,275 people

2. a. 34,315 people

b. 5,685 people

3. 1,362 people


Arithmetic expressions will vary.

Total Number of tiles for

4 tiles: 4; 8; 12; 16; 20; 24; 40; 60; 80; 400; 4 × n

5 tiles: 5; 10; 15; 20; 25; 30; 50; 75; 100; 500; 5 × n

6 tiles: 6; 12; 18; 24; 30; 36; 60; 90; 120; 600; 6 × n

Page 312. Increases by 4 (or 5 or 6)


Page 325. 60

Tota

l Num

ber o

f Tile

s

58565452504846444240383634323028262422201816141210

864200 1 2 3 4 5 6 7 8 9 10

Number of Rows

6 Tiles

5 Tiles

4 Tiles

6 Tiles

5 Tiles

4 Tiles



Arithmetic expressions will vary.

Perimeter (cm) for

4 tiles across: 10; 12; 14; 16; 18; 20; 28; 38; 48; 208; 2 × (n + 4)

5 tiles across: 12; 14; 16; 18; 20; 22; 30; 40; 50; 210; 2 × (n + 5)

6 tiles across: 14; 16; 18; 20; 22; 24; 32; 42; 52; 212; 2 × (n + 6)



37662_01-47.indd 4137662_01-47.indd 41 8/17/07 8:17:05 AM8/17/07 8:17:05 AM


Page 355.

60

Perim

eter

(cen

timet

ers)

58565452504846444240383634323028262422201816141210

864200 1 2 3 4 5 6 7 8 9 10

Number of Rows

6 Tiles5 Tiles4 Tiles

6 Tiles5 Tiles4 Tiles



1. 395 people

2. 1,566 marchers

3. 8,568 people

4. 8,606 people

5. C


1. 33,185

2. 50,750

3. 1,865

4. 32,807


Total Number of Tiles: 10; 20; 30; 40; 50; 60; 100; 150; 200; 1;000; 10 × n

Page 402. Increases by 10


Page 415.

60

Tota

l Num

ber o

f Tile

s

58565452504846444240383634323028262422201816141210

864200 1 2 3 4 5 6 7 8 9 10

Number of Rows



Perimeter (cm) for 10 tiles across: 22; 24; 26; 28; 30; 32; 40; 50; 60; 220; 2 × (n + 10)



37662_01-47.indd 4237662_01-47.indd 42 8/17/07 8:17:06 AM8/17/07 8:17:06 AM


Page 445.

60

Perim

eter

(cen

timet

ers)

58565452504846444240383634323028262422201816141210

864200 1 2 3 4 5 6 7 8 9 10

Number of Rows



1. $51.74

2. $3.65

3. $26.66

4. $71.60

5. C

Page 461. 72,994

2. 46,969

3. 28,392



Total Number of Pennies: 4; 6; 8; 10; 12; 14; 22; 32; 42; 202; (n × 2) + 2

Page 482. Increases by 2


Page 495.

Tota

l Num

ber o

f Pen

nies

130125120115110105100

959085807570656055504540353025201510

500 1 2 3 4 5 6 7 8 9 10 11 12

Number of Rounds



Total Number of Pennies: 16; 32; 64; 128; 256


Page 513.

Tota

l Num

ber o

f Pen

nies

130125120115110105100

959085807570656055504540353025201510

50

0 1 2 3 4 5 6

Number of Rounds


37662_01-47.indd 4337662_01-47.indd 43 8/17/07 8:17:09 AM8/17/07 8:17:09 AM


Page 52Estimates will vary.


1. 74,672 2. 75,036

3. 75,700 4. D


Number of Tiles: 1; 4; 9; 16;25; 36; 100; 225; 400


Page 543.

Tota

l Num

ber o

f Tile

s

110105100

959085807570656055504540353025201510

50

0 1 2 3 4 5 6 7 8 9 10

Length of One Side (centimeters)



1. 85,630 2. 57,511

3. 24,207 4. 58,291

5. A


1. $152.85 2. $201.50

3. $242.95 4. $309.60

5. No


Number of Tiles: 10; 15; 21; 28; 36; 45; 55


Page 594.

Tota

l Num

ber o

f Tile

s

110105100

959085807570656055504540353025201510

50

0 1 2 3 4 5 6 7 8 9 10




Numbers of Tiles: 16; 25; 36; 49; 64; 81; 100


Page 624.

Tota

l Num

ber o

f Tile

s

110105100

959085807570656055504540353025201510

50

0 1 2 3 4 5 6 7 8 9 10




1. 99,850 people

2. 22,373 people

3. 24,544 people

4. B

37662_01-47.indd 4437662_01-47.indd 44 8/17/07 8:17:13 AM8/17/07 8:17:13 AM

Unit 9 | How Long Can You Stand On One Foot? 45

Page 641.

Week Vince’s Total Donation ($)

Marta’s Total Donation ($)

Paula’s Total Donation ($)

Start 6 10 0

1 8 11 3

2 10 12 6

3 12 13 9

4 14 14 12

5 16 15 15

10 26 20 30

15 36 25 45

20 46 30 60

Page 652. Charity Donations

75

Tota

l Don

atio

n (d

olla

rs)

70656055504540353025201510

50

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20Number of Weeks

VinceVincePaula

Paula

MartaMarta

a. Paula

b. Vince: 12 weeks

Marta: 20 weeks

Paula: 10 weeks

c. Vince: $110

Marta: $62

Paula: $156



2. 27

3. D



Answers will vary.

Sample answers:

Set A: Gymnasts, ages 9–20

Set B: First and second graders, ages 6–8

Set C: Karate students, ages 16–49

Set D: People over 50


1. 5,180

2. 11,524

Page 81,554 ÷ 75 = 20 R54

3,164 ÷ 79 = 40 R4

8,904 ÷ 21 = 424

6,478 ÷ 42 = 154 R10




Page 111. 8; 36; 9


Sample answers:

24 × 24; 96 × 6

3. 8; 72


Sample answers:

1,000 ÷ 100; 250 ÷ 25

UNIT 9: HOW LONG CAN YOU STAND ON ONE FOOT?

37662_01-47.indd 4537662_01-47.indd 45 8/17/07 8:17:14 AM8/17/07 8:17:14 AM



Page 131. 39 seconds

2. 39 seconds


4. D





1. 47 R26

840 ÷ 42 = 20

40 × 42 = 1,680

2. 85 R4

80 × 30 = 2,400

1,200 ÷ 30 = 40


1. 1,568 players

2. 2,720 players

3. 28 teams and 8 students left over

4. 25 teams


1. 3,000 2. 720

3. 4,200 4. 1,440

5. 7,000 6. 70

7. 150 8. 4

9. 30 10. 140



Page 25

What are you comparing? Girls Boys Who is better?

1. Median 34 28 Girls

2. Highest value 67 70 Boys

3. Top 1 _ 2 above ___ seconds 34 28 Girls

4. Top 1 _ 4 above ___ seconds 46 62 Boys


6. B

Page 26237 × 76 = 18,012

55 × 168 = 9,240

901 × 49 = 44,149

813 × 28 = 22,764



1. 19 R3

2. 14 R12

3. 13 R40

4. 46 R8




Answers will vary.

Sample answers:

a. B

b. C

c. A

2. C



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Unit 9 | How Long Can You Stand On One Foot? 47


1. 2,268 pencils

2. 25 bags

3. 31 boxes

4. 4,080 paintbrushes


1. 34 rolls of tickets

2. 42 boxes of cups

3. 13 books

4. 39 times

Page 391. One half

2. 1_2

3. 25 times



1. 980

2. 24 students

3. 60

4. 2,475

Page 411. a. 1_

2

b. 3_4

c. 1_8

d. 0

e. 1

f. 1_4

2. B


1. 3,572

2. 8,411

3. 18

4. 24 R17


Page 44There is not enough money to buy everyone a T-shirt.

There is enough money to buy everyone a water bottle.

Answers for both will vary.

Sample answer:

There is enough money to buy a water bottle for 90 students and T-shirts for 11 students.

Page 451. 20 times


4. B




1. Game 1 is fair.

2. Game 2 is fair.

3. C


1. $18.88

2. 29 boxes; $464

3. 9-pack for $3.59

4. Gym A


Version A: not fair

Version B: fair

Version C: not fair


Sample answer: r

impossible unlikely maybe likely certain

0 1 __ 2 0.5

1

d c f a b e

impossible unlikely maybe likely certain

0 1 __ 2 0.5

1

d c f a b e

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grade parrot fire kris northern 5 - mr. mitch's class...

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