1 doesn’t have a the center of th inches). For So sides and 1 ba the donut on to Solution 1: Su cylinder + Sur (not including S.A. = (2 π r 1 2 + 17 1 14 Solution 2: Su cylinder – area inner cylinder – base of outer c cylinder) S.A. = ( π r 1 2 + π r 2 2 ) 15 44 4 1 4C. Solution 1 (3 in.) + 2 π (0. S.A. = (31.8 in S.A. = 85.24 i Solution 2: S.A in.)) + ( π (0.88 in.) 2 – π (0.88 i S.A. = (15.9 in in. 2 ) + (15.9 in S.A. = (58.29 S.A. = 85.24 i 2 PAGE 8 BORN IN CH 1A. 5 troops + troops = 153 t 1B. Non-statis 2A. Hubei: 80 Shaanxi: 4,000 monkeys 2B. Statistical 3A. Golden, b 3B. Statistical
scholastic.com/math height V = 17 in. 5 15 in. 5 28 in. V = 7,140 in. 3 Say Goodbye to Stickers 7,200 apples scanned per hour 5 2 hours = 14,400 apples scanned 14,400 apples scanned ÷ 126 apples per bushel ≈ 114 bushels Sneezy Science 60 feet per second 5 1 4 second = 15 feet PAGE 4 WIND POWER 1. See chart below. 2. Burbo Bank Extension has the greatest blade sweep area for a single turbine. 3. Greater Gabbard has the greatest combined blade sweep area. Here’s the combined sweep area for all the wind farms: Block Island: 5 turbines 5 179,400 ft 2 area per turbine = 897,000 ft 2 Burbo Bank: 32 turbines 5 227,200 ft 2 area per turbine = 7,270,400 ft 2 Greater Gabbard: 140 turbines 5 96,700 ft 2 area per turbine = 13,538,000 ft 2 Lillgrund: 48 turbines 5 73,500 ft 2 area per turbine = 3,528,000 ft 2 Donghai Bridge: 34 turbines 5 68,300 ft 2 area per turbine = 2,322,200 ft 2 Bard: 80 turbines 5 125,600 ft 2 area per turbine = 10,048,000 ft 2 Percent Change From Previous Year N/A +3.22% -0.03% +3.78% +6.82% Sessions 27 & 28 Wind Power! Page 79: Working With Circles *with white behind logo Where Math Gets Real ANSWERS 4B. There are two solution paths to find the flowerpot’s surface area. For Solution 1, you find the surface area of the big cylinder and add the area of the side of the inner cylinder (since it doesn’t have a top base and the bottom base is the center of the top cylinder dropped down 2 inches). For Solution 2, you find the areas of the sides and 1 base of each cylinder and then add the donut on top. Solution 1: Surface Area = Surface area of outer cylinder + Surface area of inner cylinder’s height (not including the bases) S.A. = (2 π r 1 2 + 2 π r 1 h 1 ) + 2 π r 2 h 2 Solution 2: Surface Area = (Surface area of outer cylinder – area of top base) + (Surface area of inner cylinder – area of top base) + (area of top base of outer cylinder – area of top base of inner cylinder) S.A. = ( π r 1 2 + 2 π r 1 h 1 ) + ( π r 2 2 + 2 π r 2 h 2 ) + ( π r 1 2 – π r 2 2 ) 4C. Solution 1: S.A. = 2 π (2.25 in.) 2 + 2 π (2.25 in.) (3 in.) + 2 π (0.88 in.)(2 in.) S.A. = (31.8 in. 2 + 42.39 in. 2 ) + 11.05 in. 2 S.A. = 85.24 in. 2 for our answers. 1. B, 45 million 2. C, 2012 3. D, 2.7 5. A, 44 4. C, 42% 8. 258 million tons 5 0.13 = 33.54 million tons 89 million tons 5 0.24 = 21.36 million tons 33.54 million tons – 21.36 million tons = 12.18 million tons
16. GCF: 15 17. 165 mi � 5,280 ft = 871,200 feet 18. line graph Where Math Gets Real
2. 1.5 < b < 65 continued from page 1
3a. f > 2 or 2 < f 3b.
0 5 10 15 20 2530 3540 4550 5560 65
15 4. January to April 2015: 2,849,500 – 2,824,610 = 24,890 24,890 5 0 0 1 2,824,610 = 0.0088 ≈ 0.01 0.01 � 100 = 1% increase January to April 2017: 2,866,030 – 2,615,590 = 270,440 270,440 3. 0 ≤ w < 24 5. 0 ≤ d ≤ 11
0
Where Math Gets Real
19. 62 – 27 = 35 20. C, rectangle
4a. m ≥ 18 or 18 ≤ m 4b.
10 Answer Key (cont.) 4. 14 < t ≤ 104
20
25
16
SCHOLASTIC MATH APRIL 10, 2017 (PAGE 1)
0 10 20 30 40 50 60 70 80 90 100 110
5a. b ≥ 45 or 45 ≤ b 5b.
Where Math Gets Real
Sea Otter Population 9.9 > 10 ➞ False (74 – 4) ÷ 7 > 10 70 ÷ 7 > 10 Solution 2: S.A. = ( π (2.25 in.) 2 + 2 π (2.25 in.)(3 in.)) + ( π (0.88 in.) 2 + 2 π (0.88 in.)(2 in.)) + ( π (2.25 in.) 2 – π (0.88 in.) 2 ) S.A. = (15.9 in. 2 + 42.39 in. 2 ) + (2.43 in. 2 + 11.05 in. 2 ) + (15.9 in. 2 – 2.43 in. 2 ) S.A. = (58.29 in. 2 ) + (13.48 in. 2 ) + (13.47 in. 2 ) S.A. = 85.24 in. 2 2,792 2,882 70 FROM BOOK TO BIG SCREEN SKILLS SHEETS Testing Solutions 1. f = -3, 5 -13 < 2(-5) – 6 -13 < -10 – 6 -13 < -16 ➞ False -13 < 2(-3) – 6 -13 < -6 – 6 -13 < -12 ➞ True -13 < 2(5) – 6 -13 < 10 – 6 -13 < 4 ➞ True 2. b = 75 (73 – 4) ÷ 7 > 10 69 ÷ 7 > 10
23456 78 91011 2,615,590 = 0.1033 ≈ 0.10 0.10 � 100 = 10% increase 10% (2017) – 1% (2015) = 9% difference The percent change in 2017 between January 0 10 20 30 Exit Slips: A 1B. 5 ≤ p ≤ 70
43
Percent Change From Previous Year PAGE 2 NUMBERS IN THE NEWS Wear Your Trash Volume of a rectangular prism = length 5 width 5 height V = 17 in. 5 15 in. 5 28 in. V = 7,140 in. 3 Say Goodbye to Stickers 7,200 apples scanned per hour 5 2 hours = 14,400 apples scanned 14,400 apples scanned ÷ 126 apples per bushel ≈ 114 bushels Sneezy Science 60 feet per second 5 1 4 second = 15 feet PAGE 4 WIND POWER 1. See chart below. 2. Burbo Bank Extension has the greatest blade sweep area for a single turbine. 3. Greater Gabbard has the greatest combined blade sweep area. Here’s the combined sweep area for all the wind farms: Block Island: 5 turbines 5 179,400 ft 2 area per turbine = 897,000 ft 2 Burbo Bank: 32 turbines 5 227,200 ft 2 area per turbine = 7,270,400 ft 2 Greater Gabbard: 140 turbines 5 96,700 ft 2 area per turbine = 13,538,000 ft 2 Lillgrund: 48 turbines 5 73,500 ft 2 area per turbine = 3,528,000 ft 2 Donghai Bridge: 34 turbines 5 68,300 ft 2 area per turbine = 2,322,200 ft 2 Bard: 80 turbines 5 125,600 ft 2 area per turbine = 10,048,000 ft 2 n/a +2.33% +6.82% +6.38% +4.00% -1.92% -0.98% +4.95% +1.89% +0.00% -0.93% Year 2012 2013 2014 2015 2016 40 50 60 3 4 5 6 8 9 10 11 *with white behind logo Where Math Gets Real Where Math Gets Real PAGE 6 FUNGUS AMONG US 1. Surface Area (rectangular prism) = 2(13 in. 5 7 in.) + 2(13 in. 5 7 in.) + 2(7 in. 5 7 in.) S.A. = 182 in. 2 + 182 in. 2 + 98 in. 2 S.A. = 462 in. 2 2. Surface Area (rectangular prism) = 2(16 in. 5 16 in.) + 2(16 in. 5 2 in.) + 2(16 in. 5 2 in.) S.A. = 512 in. 2 + 64 in. 2 + 64 in. 2 S.A. = 640 in. 2 3. Surface Area (hemisphere) = 1 2 5 Surface Area (sphere) S.A. = 1 2 5 (4 5 π 5 (12 in.) 2 ) S.A. = 1 2 5 1,808.64 in. 2 S.A. = 904 in. 2 4A. (Drawing not to scale) r 1 r 2
4A. 300 monkeys – 250 monkeys = 50 monkeys 4B. Non-statistical 5. Answers will vary. For example: How many individual monkeys are from each country listed in the chart? 6. Answers will vary. For example: Which province has the most snub-nosed monkeys? PAGE 12 WHAT WE RECYCLE Accept all reasonable answers based on estimates from the graph. We used the raw data
Exit Slips A. 1a. m ≥ 15 or 15 ≤ m 1b.
0 and April was 9% higher than in 2015. 5a. 2,886,030 – 2,801,470 = 84,560 84,560 1 2 Exit Slips: B 1B. 0 ≤ m ≤ 6 Exit Slips: B 1D. 5.6 ≤ t ≤ 10.4 2,801,470 = 0.0301 ≈ 0.03 0.03 � 100 = 3% increase
13
B. 1a. 15 – 7 ≤ 4 h h ≥ 2 or 2 ≤ h 1b.
MARCH 11, 2019 • Answers Otters on the Rise? 1. Year Page 73: Bonus! San Antonio, Texas Use the order of operations to solve. 1. Multiply 5 by 15. 2. Divide by 75. 3. Square. 5b. 3,032,060 � 3% = 90,961.8 ≈ 90,962 3,032,060 + 90,962 = 3,123,022 colonies PAGE 16 BY THE NUMBERS: SAN ANTONIO, TEXAS Use the order of operations to solve. 1. Multiply 5 by 15 2. Divide by 75 3. Square [750 ÷ (5 � 15)] 2 = (5 � 15) = 75 750 ÷ 75 = 10 [10] 2 = 100 Gustavo Olguin sold his recipe for corn chips for $100. PROBLEM OF THE DAY River Otter Population 2007 2008 2009 2010 8,600 8,800 9,400 10,000 10,400 10,200 10,100 2011 2012 2013 2014 10,600 10,800 10,800 10,700 2015 2016 2017 5 6 7 1. 63.4° � 2 = 126.8° 180° – 126.8° = 53.2° 2. 9 12 = 21 28 Sessions 25 & 26 All About Emojis Page 76: Emotive Emoji Answers will vary. Page 77: Making Faces 1. A 2. The brain reacts differently to the :) and (: emoticons. 3. They wanted to see how our brains are changing as technology changes. 3. 7.5 in. � 40 = 300 in. 300 in. ÷ 12 in. = 25 feet 4. 7,875 sq. ft ÷ 75 ft = 105 feet 5. 2018 – 1963 = 55 years 55 years ÷ 10 years = 5.5 decades 6. C, 400 500 = 4 5 7. 5.27 � $0.79 = $4.16 8. obtuse scalene triangle 9. False, the cities are 495 km apart. 33 cm � 15 km = 495 km 10. 3 x + 7 or 7 + 3 x 11. 1,176 + 941 = 2,717 APRIL 10, 2017 • Answers
6. C, 1900 and 2000 7. 4.4 pounds – 2.75 pounds = 1.65 pounds per person per day
0
River Otter Rebound Exit Slips B. 1.
RADIO TO THE RESCU Input and Output Rela 1. f(x) = x + 7 or 7 + x 2. f(x) = x ÷ 4 or 1 4 x 3. f(x) = x • 1.5 or 1.5 x 4a. f(x) = x • -3 or -3 x 4b. 0 • -3 = 0 3 • -3 = -9 5a. f(x) = x 2 or x • x 5b. C, (-1,1) (-1) 2 = 1 Going the Distance Portland, ME and Quee = 275 miles 2. 1 1 8 in. = 450 miles 450 miles ÷ 125 miles = 4 towers 3a. 1 in. = 400 miles 3b. 400 miles ÷ 125 m 4 towers 4. 9 16 = 225 miles; No, receive a message from because the distance b is 225 miles so the tow range. You would need the message. 5. Portland, Maine 125 miles � 5 = 625 mil 400 miles + 225 miles 1 in. = 400 miles and 1 1 in. + 9 16 in = 1 9 16 in. Distance to Portland, M r 1 = 2.25 in. r 2 = 0.88 in. 179,400 ft 2 227,200 ft 2 96,700 ft 2 73,500 ft 2 68,300 ft 2 125,600 ft 2
9. The price for recycled clear plastic is more consistent because after the beginning of 2011, there were fewer peaks and valleys in the graph. There is less variation in price per pound of recycled plastic than new clear plastic. This is likely because recycled plastic isn’t dependent on the price of oil like new clear plastic. 10. Lead-acid batteries are required by law to be recycled and not thrown away.
CALIFORNIA’S SEA OTTER POPULATION
2,881 10 > 10 ➞ False (75 – 4) ÷ 7 > 10 71 ÷ 7 > 10 10.1 > 10 ➞ True 3,194
2,990 PAGE 8 BORN IN CHINA 1A. 5 troops + 8 troops + 40 troops + 100 troops = 153 troops 1B. Non-statistical 2A. Hubei: 800 monkeys, Gansu: 800 monkeys, Shaanxi: 4,000 monkeys, Sichuan: 10,000 monkeys 2B. Statistical 3A. Golden, black, and grey snub-nosed monkeys 3B. Statistical
3. w = -2, 2 4 ≥ 0.5(-2) 3 4 ≥ 0.5(-8) 4 ≥ -4 ➞ True 4 ≥ 0.5(2) 3 4 ≥ 0.5(8) 4 ≥ 4 ➞ True Offshore Wind Farm Block Island Wind Farm Burbo Bank Extension
Wind Turbine Measurements by Wind Farm
PAGE 6 FUNGUS AMONG US 1. Surface Area (rectangular prism) = 2(13 in. 5 7 in.) + 2(13 in. 5 7 in.) + 2(7 in. 5 7 in.) S.A. = 182 in. 2 + 182 in. 2 + 98 in. 2 S.A. = 462 in. 2 2. Surface Area (rectangular prism) = 2(16 in. 5 16 in.) + 2(16 in. 5 2 in.) + 2(16 in. 5 2 in.) S.A. = 512 in. 2 + 64 in. 2 + 64 in. 2 S.A. = 640 in. 2 3. Surface Area (hemisphere) = 1 2 5 Surface Area (sphere) S.A. = 1 2 5 (4 5 π 5 (12 in.) 2 ) S.A. = 1 2 5 1,808.64 in. 2 S.A. = 904 in. 2 4A. (Drawing not to scale) r 1 r 2 Location Number of Turbines Turbine Radius Turbine Circumference U.S. 5 239 ft 1,500 ft U.K. 32 269 ft 1,689 ft U.K. 140 175 ft 1,099 ft Sweden 48 153 ft 960 ft China 34 147 ft 923 ft Germany 80 200 ft 1,256 ft
Turbine Blade Sweep
r 1 = 2.25 in. r 2 = 0.88 in.
4 ≥ 0.5(3) 3 4 ≥ 0.5(27) 4 ≥ 13.5 ➞ False 4. k = 3 12 > -6 2 ÷ 3 12 > 36 ÷ 3 12 > 12 ➞ False Greater Gabbard Lillgrund Donghai Bridge Bard Offshore 1
answers continued on page 2
Offs Wind Block Wind Burbo Exte Gre Gab Lillg Don Bri Ba Offsh
12 > 3 2 ÷ 3 12 > 9 ÷ 3 12 > 3 ➞ True Page 80: As the Turbine Turns 1. See table on page 59. 2. Blyth Offshore: 2 turbines x 3,421 meters 2 per turbine = 6,842 meters2 Middelgrunden: 20 turbines x 4,536 meters 2 per turbine = 90,720 meters 2 12 > 7 2 ÷ 3 12 > 49 ÷ 3 12 > 16.3 ➞ False 24 Riffgat: 30 turbines x 11,310 meters 2 per turbine = 339,300 meters 2 Princess Amalia: 60 turbines x 5,027 meters 2 per turbine = 301,620 meters 2 Lights, Cameras, Inequalities! 1a. h ≤ 25 or 25 ≥ h 1b. 23 25 26 27
scholastic.com/math
2,717 ÷ 1,776 ≈ 1.53 1.53 � 100 = 153% 12. 2.9 � 10 9 how they are created and developed. The purpose of the passage above is to explain how our brains are changing in reaction to emojis. 5. Answers will vary. They may mention texting, email, iPhones, or video games. 13. 24 hrs – 7.5 hrs = 16.5 hrs 16.5 hrs � 60 mins = 990 mins 990 mins � 16 blinks = 15,840 total blinks 4. The purpose of the article “All About Emojis” is to explain the history of emojis, including
14. C = 2 π (2.56) C = 16.08 ≈ 16.1 C = 16.1 inches 15. b ≤ 30
Exit Slips A. 1a. 3 1
2a. s < 9 or 9 > s 2b.
1 2 in. = 7
7
8
9
10 11
2 in. ÷
APRIL 10, 2017 • Answers
58
answe
MARCH 12, 2018 • Answers
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