NG CANDY
1 thousand 1 hundred 9 tens
1 thousand 1 hundred 5 tens
20
5. 31,000 Answer Key
1 thousand 1 hundred
6
10
31 thousands
30 thousands 5 hundreds 8 tens 1 one 30 thousands 5 hundreds
30
Session 2 Page 7: Math Time: Beetle Battle 30 thousands PAGES 8-11: BEETLE BATTLE 1a. 0.3 1b. Southern pine beetles are longer than mountain pine beetles. 0 6 10 4 10 2 10 5 10 3 10 1 10 1c. 4 10 > 3 10 or 3 10 < 4 10 2a. Ones . Tenths Hundredths Thousandths 0 . 1 9 0 0 . 2 0 1 0 . 2 0 0 2b. The beetle that measures 0.201 is the largest. 0.201 > 0.2 3a. 0.5 0.6 0.7 0.8 0.9 1.0 3b. The beetles that measure 0.75 cm and 0.85 cm could be ladybugs. ladybug range 3,000 3,500 3,499.99 3,499.99
BONUS: Answers will vary. Accept any fraction less than or equal to 36 100 or any decimal less than or equal to 0.36 BONUS: Answers will vary. Accept any fraction less than or equal to 36 100 or any decimal less than or equal to 0.36 Page 10: A Weighty Decision <, >, <, <; >, =, >, =; =, >, >, >; >, <, <, <; >, <, <, >; <, >, <, >; <; NEITHER! THEY’RE BOTH EQUALLY 3.575 POUNDS! Page 11: Duet LEVELING UP: DECIMAL DERBY 1. 14.15 2. 0.33 78 100 − 45 100 = 33 100 = 0.33 3. 0.67 4a. 29.65 4b. 29.7 5. 0.7 6a. $3.74 $2.99 + $0.75 = $3.74 6b. $4.00 7. 0.57 LEVELING UP: DECIMAL DERBY 1. 14.15 2. 0.33 78 100 − 45 100 = 33 100 = 0.33 3. 0.67 4a. 29.65 4b. 29.7 5. 0.7 6a. $3.74 $2.99 + $0.75 = $3.74 6b. $4.00 7. 0.57 BONUS: The decimal points were not lined up properly. The correct amount earned was $12.64. Correct: 10.75 + 1.89 12.64 1 1 Incorrect: 10.75 + 1.89 29.65 1 BONUS: The decimal points were not lined up properly. The correct amount earned was $12.64. Correct: 10.75 + 1.89 12.64 1 1 Incorrect: 10.75 + 1.89 29.65 1 1C. Equivalent fractions may vary. Possible answers: 1 × 2 3 × 2 = 1. 2.3 feet 2. 3.5 feet 3. 0.5 foot 4. 2.8 feet 5. 5.6 feet high Super Challenge: Ed’s boots should be 7.8 feet tall. Fred’s boots should be 5.5 feet tall. Jed’s boots should be 13.4 feet tall. Session 6 Page 15: Math Time: Moving a 3,500-pound T-Rex 3A. 83 ÷ 5 = 16 frames R3 3B. Answers may vary. Please accept all reasonable equations. Possible answer: 80 ÷ 5 = 16 4. 249 ÷ 5 = 49 seconds R4 5. 360 ÷ 14 = 25 seconds R10 PAGES 8-11: MOVING A 3,500-POUND T. REX Models may vary. Please accept all reasonable models. 1A. 0 or 1 1 3 2 3 3 3 1B. Models will vary. Possible answers: 2 6 1 × 3 3 × 3 = 3 9 1 × 4 3 × 4 = 4 12
29 30
BONUS: I disagree because 3,499.99 is less than the midpoint between 3,000 and 4,000. Therefore, 3,499.99 rounds down to 3,000. BONUS: I disagree because 3,499.99 is less than the midpoint between 3,000 and 4,000. Therefore, 3,499.99 rounds down to 3,000.
on the number line
370
4,000
365
400
nd B have different lace I was asked to
For “Beetle Battle” Lesson Plan 3 DYNADASH GRADE 5: ROUNDING DECIMALS TO TENTHS AND HUNDREDTHS 3,000 3,500 4,000 For “Beetle Battle” Lesson Plan 3 DYNADASH GRADE 5: ROUNDING DECIMALS TO TENTHS AND HUNDREDTHS
800
1. 0.3 2. 1.4 3. 0.2 4. 1.6 5. 0.3 6. 2.5 7. 3.1 8. 2.6 9. 7.1 10. 4.6 1. 0.3 2. 1.4 3. 0.2 4. 1.6 5. 0.3 6. 2.5 7. 3.1 8. 2.6 9. 7.1 10. 4.6
1.0 11. 6.07 12. 4.89 13. 5.83 14. 8.44 15. 9.02 16. 10.48 17. 11.43 18. 16.81 19. 21.87 20. 24.00 11. 6.07 12. 4.89 13. 5.83 14. 8.44 15. 9.02 16. 10.48 17. 11.43 18. 16.81 19. 21.87 20. 24.00
MPKIN RACE
han 700 lbs.
Student Edition PAGES 2-3: NUMBERS IN THE NEWS Garbage Gobbler: 10 hundreds 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000 Shorter Sleep: 6 days + 6 days = 12 more days Inclusive Theme Park: No, one person in the group will not have a buddy. PAGES 4-5: NUTS FOR ORGANIZATION 1A.
no buddy Teacher’s Edition PAGE T12: PROBLEM OF THE DAY 1. 170 2. 77 minutes 3. 20 4. $0.68 5. Closer to 500 when rounding to the nearest hundred. 600
0.85 0.8 0.9
0.75
0.5 0.6
0.7
4a. Beetle B, Beetle C, Beetle D, Beetle A 4b. Beetle A
Y
5 10 PAGES 12-13: TRICK OR TREAT? 1. D 2. B 3. D 4. A 5. C 6. B 7. 43% 8. It is trending upward. 9. A circle graph is a good choice because the data is showing various parts of a whole. 10. $82.90 0 0.1 PAGES 14-15: LAVA LAB 1. Answers will vary, though students should use their timing data in their answers. 2a. Felix 0.3 3 10 0.7 7 10 0.6 6 10 0.4 4 10 0.8 8 10 2b. Jenni, by 0.1 miles or 1 2. Answers will vary, though students should use equations and math vocabulary to compare their results. 10 of a mile 3. 0.03 or 2b. Jenni, by 0.1 miles or 1 3. Answers will vary, but students should make the connection that liquids with higher viscosity have a slower flow. 0.5 5 10 5 10 0.5 0.2 2 10 2 10 0.2 0 10 7 10 0.7 4 10 0.4 6 10 0.6 1 10 8 10 0.8 3 10 0.3 3 100 0 10 1 10 2a. Felix 0 0.1 5 10 0 10 7 10 2 10 4 10 6 10 1 10 3 10 10 of a mile 5. Specimens A and D could not be adult beetles because they measure more than the maximum length of 11 cm.
Session 3 Page 8: Number Line Comparisons LEVELING DOWN: NUMBER LINE COMPARISONS 1. 0.8 or 8 10 0 0.1 0.5 0.3 0.7 0.9 0.2 0.6 0.4 0.8 1.0 LEVELING DOWN: NUMBER LINE COMPARISONS 1. 0.8 or 8 10 0 0.1 0.5 0.3 0.7 0.9 0.2 0.6 0.4 0.8 1.0 0 10 7 10 2 10 9 10 4 10 6 10 1 10 8 10 3 10 10 10
1B. 8 × 2 = 16 or 2 × 8 = 16 2A.
1 8
2B. 3 × 4 = 12 or 4 × 3 = 12 3A. Arrays may vary. Possible arrays:
2A. Right leg =
550
4 8
1 2
Left leg =
or
536
1 8
4 8
5 8
2B.
+
=
500
4 8
+
0.9 9 10 9 10 0.9
1.0 10 10
6. 8, 6 7. 0.60 > 0.06 because: Ones
1 8
2 8
3 8
4 8
5 8
6 8
7 8
0
1
3A. 20 3B. 2 × 4
. Tenths Hundredths
10 10
1 × 5 4 × 5 =
8 20
5 20
. .
0 0
6 0
0 6
5 × 4 =
1.0
0.09 squirrels, 28 (10 female + 18 male = 28 total squirrels). Arrays can be arranged as 7 × 4 or 4 × 7, 2 × 14 or 14 × 2, and 1 × 28 or 28 × 1. PAGES 6-7: BRINGING WRECK-IT RALPH TO LIFE Partial quotients may vary. Please accept all reasonable solving methods. 1A. C, 47 ÷ 5 1B. 47 ÷ 5 = 9 sequences R2 1C. C, 45 ÷ 5 2. 33 ÷ 4 = 8 blinks R1 0.08 0.1 10 100 0.1 8 100 0.08 9 100 0.09 9 10 3B. Equations may vary. Accept equations that represent multiplication or repeated addition. Possible answers: 6 × 4 = 24; 3 × 8 = 24; 2 × 12 = 24. 4. 2 × 16 nuts = 32 total nuts 5. The student is incorrect because you can make up to 6 different arrays to show the total number of 8 10 10 10 8. 7; 7 × 7 = 49 9. 4 pumpkins (4 × 4 = 16) 10. Ones . 10 100 8 100 9 100 Tenths Hundredths 9 . . . 5 5 5 7 5 6 10 9 11. 5:30 12. 15 25 or 3 5 13. 300 pounds
8 20
5 20
13 20
3C.
+
=
Hips & Tail
Legs
Total
13 20
+
=
9 × 2 22 × 2
18 44
4A.
=
0 0.01
0.02
0.03
0.04
0.05
0.06
0.07
3 100
4 × 4 11 × 4
16 44
3. 0.03 or
4B.
=
0 100 PAGE 16: UNBELIEVABLE BATS : Bug-Eating Machine: 1,200 3 100 0.03 6 100 0.06 1 100 4 100 0.04 2 100 0.02 5 100 0.05 0 0.01
7 100 0.07
4C. 34 44 PAGES 12-13: ARE KIDS PLAYING FEWER 18 44 + 16 44 =
4. False, 0.07 = 7 100 5a. Pine tree 5b. By 0.02 or 2 0 100 3 100 1 100 2 100 4. False, 0.07 = 7 100 5a. Pine tree 5b. By 0.02 or 2 100 inches Biggest and Smallest Bats: 10 + 7 and 100 + 70; Yes, the second number is 10 times greater than each part of the first number. (10 × 10) (7 × 10). +0.02 Page 9: Number Line Comparisons Sick Bats: five million five hundred thousand City Bats: 7 hundred thousands 5 ten thousands; 1 million 5 hundred thousands 6 100 4 100 7 100 5 100
SPORTS? 1. A, 2008
2. 2016; Yes, because the article states that fewer kids are playing sports each year so you would expect 2016 to have the fewest kids. Session 7 Page 16: Equivalent Fraction Models
14. square; rhombus. They’re similar in that they have four equal sides. The square has four right angles. The rhombus has two opposite and equal acute angles and two opposite and equal obtuse angles. 15. 3,900 beats each hour 16. Because obtuse angles are greater than 90° and 90° plus any number that is greater than 0 is going to be greater than 90°. 17. 1 2 3 18. $0.15
100 inches
1 NOVEMBER 2018 І DYNAMATH ONLINE ANSWER KEY
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+0.02
0.01
0.04
0.06
0.10
6 OCTOBER 2017 І DYNAMATH ONLINE ANSWER KEY 0.01 0.06 0.04
0.10
6 OCTOBER 2017 І DYNAMATH ONLINE ANSWER KEY
2 OCTOBER 2017 І DYNAMATH ONLINE ANSWER KEY
9
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