7
than 3 5
and the sum should be larger than its two
Answer Key (continued) Record-Setting Slumber: 21 days more 367 − 346 21 days Life Saving Fan: $7,820 per month $7,820 6 46,920 −42 49 −48 12 −12 00
addends.
2b. 9 10
; 3 5
+ 3
= ? → 3 5
= 6
→ 6 10
+ 3
= 9
10
10
10
10
1 10
1 10
1 10
0 1 10
2 10
3 10
4 10
5 10
6 10
7 10
8 10
9 10
10 10
13 10 or 1
3 10
km; 1 2
+ 4
+ 2 5
= ?; 1 2
= 5
; 2 5
= 4
3a.
;
10
10
10
13 10
4 10
5 10
+ 4
Session 20 Page 42: Magnetic Math 1. 1/3; 2. 3/8 3. 3/11; 4. 14/20 5. 1/32; 6. 20/67 7. 59/83; 8. 22/121; 9. 3/156; 10. 99/312 What did one magnet say to the other magnet? “You attract me.” Page 43: Turkey Talk Suggested Solution: The error was subtracting $3 from $15 rather than finding 1/3 of $15 ($5) and subtracting it. Silvio’s price should be $15 – $5 = $10. Session 22 Pages 46–47: Math Time: Social Media Mountaineers PAGES 4-5: GIANTS OF GENEROSITY Holiday Hearts: It takes 36 hours to program 1 song. Supportive School: Each class would get 12 red noses. 60 ÷ 5 = 12; Mowing That Matters: She earned 4 T-shirts; 40 ÷ 10 = 4; Hero for the Homeless: 10 people sat at each table; 100 ÷ 10 = 10 PAGES 6-7: 5 SURPRISES FROM SATURN 1. A Moon’s Mysterious Ocean 2. Mountain-size Rings: No, it is not correct. The correct T-chart is: 3. Lurking Alien Life? 4. Planet-wide Storm: The numbers are all factors of 8. 5. Hidden Moons: 21 1 21 3 7 8 1 8 2 4 22 1 22 2 11 6 1 6 2 3
Session 23 Page 48: Converting Improper Fractions to Mixed Numbers LEVELING DOWN: CONVERTING IMPROPER FRACTIONS TO MIXED NUMBERS Area models will vary. Please accept all reasonable models. 10 = or 1 17 20 km; 13 10 + 55 100 = ?; 13 10 = 130 100 ; + 55 100 = 185 100 ; 185 100 = 1 85 100 + 2 1 4 = ?; 2 3 = 8 12 ; 1 4 = 3 12 ;
+
3b. 1 85 100
LEVELING UP: MIXED N PROBLEMS 1a. 8 7 12 miles; 3 3 12 + 5 4 12 = 8 1b. 13 1 12 miles; 8 7 12 + 4 6 12 = 12 2a. 21 6 8 or 21 3 4 pounds; 10 7 8 2b. 43 4 8 or 43 1 2 pounds; 21 6 8 3a. 4 11 12 miles; 1 3 12 + 3 8 12 = 4 1 1 3b. 14 9 12 or 14 3 4 miles; 4 11 12 + 4 4a. 3 8 feet taller; 4 5 8 − 4 2 8 = 4b. 1 1 24 feet taller; 5 16 24 − 4 15 24 4c. 1 5 12 feet taller; 5 8 12 − 4 3 12 BONUS: Answers will vary. Pl reasonable story problems.
130 100
4. 6 11 12
minutes long; 4 2 3
1. 3 3 4 = 6 11 12 5. The 2 full tanks weigh more than the 2 empty tanks. Empty: 2 1 5 + 2 1 5 = 4 2 5 kg Full: 3 9 10 + 3 9 10 = 6 18 10 = 7 4 5 kg 7 4 5 kg > 4 2 5 kg PAGES 12-13: HOLIDAY TRAVEL STATS ; 4 4 + 4 4 + 4 4 + 3 4 = 1 + 1 + 1 + 3 4 2. 2 2 3 ; 3 3 + 3 3 + 2 3 = 1 + 1 + 2 3 = 2 2 3 3. 1 4 6 or 1 2 3 ; 6 6 + 4 6 = 1 + 4 6 = 1 4 6 4 + 2 + 8 12 + 3 12
= 3 3 4
1. C 2. A
4. 4 2 5 3. A 4. C
5. D 6. B
7. True
; 5 5
+ 5 5
+ 5 5
+ 5 5
+ 2 5
= 1 + 1 + 1 + 1 + 2 5
= 4 2 5
5. 2 5 8 8. The circle graph titled “U.S. Travelers During the Winter Holiday Season, 2016-2107”; 6% 9. $190 difference; $350 − $160 = $190 10. Other (3%) ; 8 8 + 8 8 + 5 8 = 1 + 1 + 5 8 = 2 5 8 1 + 1 2 PAGES 14-15: A REAL-LIFE TRANSFORMER? 1. Gravity plays a part in the experiment in many ways. Possible answer: Gravity is a constant therefore it keeps the stack of books, board, and 6. 6 1 2 ; 2 2 + 2 2 + 2 2 + 2 2 + 2 2 + 2 2 + 1 2 = 6 1 2
62 1 62 2 31
= 1 + 1 + 1 + 1 + 1 +
PAGES 8-11: SOCIAL MEDIA MOUNTAINEERS 1a. 0 1 3 2 3 3 3
1b.
7. 4 2 4
or 4 1 2
; 4 4
+ 4 4
+ 4 4
+ 4 4
+ 2 4
= 1 + 1 + 1 + 1 + 2 4
1 3
2 3
3 3
0
1 3 + ? = 1c. 1 8 24 1d. It took Richards 8 hours to climb 550 meters. I know this because 1 3 of a day (24 hours) is 8 hours. 2a. Answers will vary. Possible answer: 3 7 is the incorrect sum because 3 7 is a smaller fraction than 3 5 and the sum should be larger than its two addends. 2b. 9 10 ; 3 5 + 3 10 = ? → 3 5 = 6 10 → 6 10 + 3 10 = 9 10 3 = 1 × 8 3 × 8 = answer Key 1 DECEMBER 2017 / JANUARY 2018 І DYNAMATH ONLINE ANSWER KEY 2 3 → 1 3 + 1 3 = 2 3
= 4 2 4
8. 2 6 7
; 7 7
+ 7 7
+ 6 7
= 1 + 1 + 6 7
= 2 6 7
THE NEWS
BONUS: Answers will vary. Please accept all reasonable number bonds.
Page 49: Mixed Numbers–Made Simple
more
Practice Page 81: The elevator was full. S-4 1 ⁄ 2 , F-3 3 ⁄ 5 , H-10 1 ⁄ Perimeter and Area Review Name 82
Practice Page 74: 1. 4 17 ⁄ 24 2. 6 2 ⁄ 15 3. 10 25 ⁄ 66 4. 11 1 ⁄ 5 5. 10 6. 5 7 ⁄ 8 7. 3 7 ⁄ 60 4. 6 11 ⁄ 21 9. 12 11 ⁄ 30 10. 14 34 ⁄ 45 Practice Page 75: Subtracting Mixed Numbers Name 75
Practice Page 66: Cape Wrangell R. 11 ⁄ 15
Date
2 , W-1 Geome-tricks! 3 ⁄
1 ⁄
4 , L-2
3 , R-
W. 1
2 ⁄
9
A-2 1 ⁄
3 ⁄
2 ⁄
2 , E-10, U-6
7 , V-6
3 , T-9
1 10 M. 1 1 ⁄ 1 10
H.
9 ⁄
10
14
1 10
Use some math magic to solve three perimeter and area problems in a row and get Tic-Tac-Math!
A. 1 2 ⁄
C. 1 G. 1 N. 1 E. 1
1 ⁄
9 10 5
2
Practice Page 82:
0 1 10
2 10
3 10
4 10
5 10
6 10
7 10
8 10 T. 1 ⁄
10 10
1 ⁄ 1 ⁄
2
12
P. 1 3 ⁄
= ?; 1 2 8
6
13 10 or 1
3 10
km; 1 2
+ 4
+ 2 5
= 5 10
; 2 5
= 4
Find the perim trapezoid with 2 4 ___ 5 inches, bo of 5 3 ___ 5 inches, of 7 3 ___ 5 inches a Write your ans simplest form.
The length of one side of a regular pentagon is 12.5 cm. What is its perimeter?
A rectangle’s length is 12.4 cm and its width is 4.9 cm. What is its area?
3a.
;
L. 1 5 ⁄
7 ⁄
10
10
12
10
13 10
4 10
5 10
+ 4
+
=
62.5 cm 60.76 cm 20
Date
10
= ?; 13 10 Practice Page 67: It was full. A- 7 ⁄ 8 , I- 7 ⁄ 9 , F- 5 ⁄ 6 , W- 3 ⁄ = 130 100 ;
Fraction Leftovers
3b. 1 85 100
or 1 17 20
km; 13 10
+ 55 100
NEROSITY
What’s left over when you subtract these mixed numbers? Solve three problems in a row to get Tic-Tac-Math! Write all answers in simplest form.
130 100
+ 55 100
= 185 100
; 185 100
= 1 85 100 U- 7 ⁄ + 2 1 4
11 ⁄
9 ⁄
8 ⁄
7 ⁄
4 , R-
15 , C-
10 , T-
12 , S-
12 ,
Find the perimeter of a rectangle with length of 9 3 ___ 4 inches and width of 3 3 ___ 5 inches. Write your answer in simplest form. 26 7 10 "
A triangle’s height is 12 inches. Its area is 21 inches. What is the length of its base?
The perimeter octagon is 22 _ is the length o
= 8 13 ⁄
10 , L-
= ?; 2 3 15 Practice Page 68: 1. 1 13 ⁄ 24 miles 2. 1 49 ⁄ 60 miles Practice Page 69: Nicolaus Copernicus L. 1 ⁄ 6 G. 1 ⁄ 9 B. 1 ⁄ 2 T. 1 ⁄ 12 O. 5 ⁄ 6 S. 3 ⁄ 20 U. 3 ⁄ 8 C. 1 ⁄ 3 E. 7 ⁄ 16 R. 13 ⁄ 24 A. 1 ⁄ 4 I. 3 ⁄ 4 P. 1 ⁄ 10 N. 5 ⁄ 9 J. 2 ⁄ 3 Practice Page 70: a blaze-r A- 3 ⁄ 8 , B- 5 ⁄ 9 , O- 2 ⁄ 5 , T- 1 ⁄ 14 , R- 1 ⁄ 12 ; 1 4 = 3 12 ; 5. D 6. B 7. True
4. 6 11 12
minutes long; 4 2 3
uld get 12 red noses. : She earned 4 Homeless: 10 people
5 Session 24 Page 50: At the Movies 1. 10 4 5 minutes 2. 2 5 6 minutes 3. 5 1 2 minutes 4. 1 13 8 minutes 7 ___ 10 – 1 3 ___ 5 = 10 7 ___ 8 – 5 3 ___ 4 = 9 3 ___ 5 – 3 1 ___ 3 = 6 9 ___ 10 – 3 4 ___ 5 = 3 1 7 4 ___ 5 – 3 2 ___ 5 = 8 3 ___ 4 – 2 1 ___ 2 = 6 1 4 4 2 5 10 6 4 15 5 5 1 8 1 10
5 6
3.5 "
2
4 + 2 + 8 12 = 6 11 12 5. The 2 full tanks weigh more than the 2 empty tanks. Empty: 2 1 5 + 2 1 5 = 4 2 5 kg Full: 3 9 10 + 3 9 10 = 6 18 10 = 7 4 5 kg 7 4 5 kg > 4 2 5 kg PAGES 12-13: HOLIDAY TRAVEL STATS + 3 12
5 DECEMBER 2017 / JANUARY 2018 І DYNAMATH ONLINE ANSWER KEY
5 7 ___
1 ___ 16 =
8 – 1
13 16
4
Find the perim with side lengt 12 2 ___ 3 inches, a Write your ans form. 23
The area of a square is 25 square inches. What amount would be 1 ___ 4 of the area? What amount would be 3 ___ 2 of the square’s area? 6 1 4 sq. in.; 2 sq. in. 37 1
The length of a side of a regular hexagon is 32.5 cm. What is its perimeter?
FROM SATURN
6 1 6 2 3
195 cm
not correct.
6 5 ___
5 ___ 24 =
12 – 5
5 24
1
88
Practice Page 83: 1. 1 foot, 10 inches 2. 2 feet, 4 inches 3. 21 inches 4. 15 feet 5. 2 yards, 2 feet 6. 3 yards, 1 foot 7. 144 inches 8. 2 yards, 28 inches 9. 1 yard, 24 inches 10. 540 inches
100 Math Practice Pages, Grade 5 © 201
1. C 2. A
3. A 4. C
8. The circle graph titled “U.S. Travelers During the Winter Holiday Season, 2016-2107”; 6% 9. $190 difference; $350 − $160 = $190 10. Other (3%) PAGES 14-15: A REAL-LIFE TRANSFORMER? 1. Gravity plays a part in the experiment in many ways. Possible answer: Gravity is a constant therefore it keeps the stack of books, board, and D- 1 ⁄ 5 , E- 2 ⁄
8 1 8 2 4
17 2 ___
6 ___ 15 = 4 15
3 – 14
3
8.
Practice Page 76: to a doc-k C-4 1 ⁄ 6 , D-3 1 ⁄ 5 , T-1 1 ⁄
81
MOUNTAINEERS
100 Math Practice Pages, Grade 5 © 2015 • Scholastic Teaching Resources
12
1 ⁄
7 ⁄
3 ⁄
3 , L-
2 , Z-
10 , N-
5 ,
5 ⁄
1 ⁄
1 ⁄
2 , A-8 2 , E-2
8 , K-2
3 , B-10
3 ,
3 Practice Page 71: 72
S-6 1 ⁄
4 ⁄
1 ⁄
7 ⁄
7 , O-5
7 , P-9
10
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