Measurement 1 AP Book 4.1

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Measurement 1 AP Book 4.1 page 1 AP Book ME4-1 page 97 1. a) Answers may vary. b) Answers may vary. 2. Objects measured and lengths may vary. 3. a) 5 toonies toonies c) 10 toonies 4. a) Answers may vary. Desk length will be greater than 10. b) Answers may vary. 5. Classroom objects chosen for this question vary as will their lengths (in ). AP Book ME4-2 page 98 1. a) 2 b) 4 2. a) 3 b) 1 3. a) 3 b) 2 4. a) 4 b) 3 c) 3 d) 4 5. a) 3 b) 5 AP Book ME4-3 page 99 1. a) 9 b) 13 c) 12 d) 8 2. a) 3 b) 2 3. a) 4 2 2 4 b) 5 4 3 4. Teacher 6. Teacher to check 7. Teacher 8. Teacher AP Book ME4-4 page 100 1. b) 3.5; 35 c) 5; 50 d) 1; 10 2. a) 20 b) 30 c) 50 d) 100 3. Jamelia has 4 stacks of dimes, each about 1 high. We ve learned that 1 dime is about 1 thick. We also know that there are 10 in one centimetre. Therefore, Jamelia has 10 x 4 (stacks) = 40 dimes = $4.00. AP Book ME4-5 page 101 1. a) 24 b) 38 2. a) 38 b) 18 3. a) Teacher b) Teacher 4. Less than 30 More than 30 a) b) c) d) e) 5. a) 50 b) 19 c) 45 d) 25 e) 12 6. < 20 > 20 Actual a) 6 b) 45 c) 12 d) 25 7. a) 3 ; 30 b) 4 ; 40 c) 2.5 ; 25 d) 1.5 ; 15 8. a) Length = 5 Width = 2.6 Diagonal = 5.6 = 56 b) Length = 5 Width = 2 Diagonal = 5.4 = 54 9. Teacher to check 10. Teacher to check AP Book ME4-6 page 103 1. 10 2. 10 3. 40 4 570 57 50 5 70 7 120 12 350 35 1 120 112 1 700 170 2 930 293 80 8 2 570 257 320 32 4. To change from to, you have to divide by 10. a) 4 c) 210 d) 9 e) 32 f) 3 g) 91 h) 65 5. 5 0.5 800 80 19 1.9 1 0.1 12 120 1800 180 7 0.7 910 91 6. a) 50, 70 ; 70 b) 830, 910 ; 910 c) 450, 53 ; 450 d) 20, 12 ; 20 e) 600, 6200 ; 6200 f) 720, 420 ; 720 7. a) Estimates will vary. Length: 50 Width: 10 b) Estimates will vary. Length: 70 Width: 10 AP Book ME4-7 page 104 1. Teacher to check that lines are drawn the proper distance apart. in in a) 4 40 b) 3 30

page 2 c) 8 80 d) 7 70 2. Teacher to check 3. Teacher to check 4. Teacher to check 5. a) Line must be 50 (5 ) long teacher b) Line must be 70 (7 ) long teacher c) Line must be 20 (2 ) long teacher 6. Peter is wrong. If you convert each length to the same unit, to for example, then the two lengths become 5 and 20 (2 ). In this way, it is easy to see that 20 is greater than 5. AP Book ME4-8 page 105 1. Left to right: Oak, elm, willow, maple 2. a) Equal b) Equal c) Equal AP Book ME4-9 page 106 1. Teacher to check 2. Teacher to check 3. Teacher to check 4. a) Teacher to check b) Teacher to check c) Teacher to check 5. Teacher to check AP Book ME4-10 page 107 1. m 3 4 5 6 dm 30 40 50 60 300 400 500 600 3 000 4 000 5 000 6 000 2. a) 1 = 10 b) 1 m = 100 c) 1 m = 1 000 3. a) m 1 100 14 1400 80 8 000 b) m 2 2000 19 19 000 21 21 000 c) 3 30 65 650 106 1 060 4. There was no difference in Sheena s measurements since 215 = 2 m 15. 5. a) 513 = 5 m 13 b) 217 = 2 m 17 c) 367 = 3 m 67 d) 481 = 4 m 81 e) 706 = 7 m 6 f) 303 = 3 m 3 6. a) 3 m 71 = 371 b) 4 m 51 = 451 c) 3 m 45 = 345 d) 8 m 2 = 802 e) 9 m 7 = 907 f) 7 m 50 = 750 AP Book ME4-11 page 108 1. a) 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000 ** You need to add 100 ten times to make 1000. b) We know that ten 100 s makes 1000. That said,it would take ten 100 m long football fields to make a km (since a km is 1000 m). 2. a) You need to add 50 twenty times to make 1000. b) It would take twenty pools to make a km (since 20 50 = 1000). 3. a) 100 = 10 tens b) 200 = 20 tens c) 300 = 30 tens d) 400 = 40 tens e) 500 = 50 tens f) 600 = 60 tens 4. Using the method in the previous question, it would take 100 tens to make 1000. 5. a) 100 b) 200 6. Answers will vary. AP Book ME4-12 page 109 1. a) 220 km b) 360 km c) 490 km d) 330 km 2. a) 710 km b) 820 km c) 690 km 3. 1. Bloodvein 200 km 2. Clearwater 187 km 3. Athabasca 168 km 4. Jacques Cartier 128 km 5. Kicking Horse 67 km 4. a) 800 meters b) No c) About 4 d) 5 times AP Book ME4-13 page 110 1. a) centimetre m metre b) centimetre m metre km kilometre c) millimetre km kilometre centimetre 2. a) metre height of a child centimetre length of a nail b) metre height of a door kilometre length of a subway track centimetre length of a worm 3. a) millimetre length of an ant centimetre book m metre height of a classroom km kilometre length of a street b) km kilometre distance to Montreal centimetre pencil m metre door millimetre postage stamp 4. a) Ant #1 Toaster #2 Car #3 m b) Butterfly #1 Keyboard #2 Airplane #3 m AP Book ME4-14 page 111 1. There are 100 centimetres in a 1 metre. 2. a) 4 m = 400 m = 600 c) 100 = 1 m d) 3 m = 300 3. a) 1 m = 100, which is greater than 60 b) 7 m = 700, which is greater than 82 c) 5 m = 500, which is greater than 410 d) 340 e) 4 meters = 400 f) 7 meters = 700 4. Teacher

page 3 AP Book ME4-15 page 112 1. a) b) m c) km 2. a) b) d) km e) m f) g) m 3. a) metres b) metres or kilometres c) kilometres d) metres 4. a) km b) d) m e) m; m f) 5. a) b) km d) or, depending on your hair s length! e) km 6. Answers will vary. AP Book ME4-16 page 114 1. a) 10 b) 7 c) 6 2. a) 10 c) 7 3. a) 12 b) 14 c) 14 4. a) 6 + 4 + 6 + 4 = 20 m b) 3 + 3 + 1 + 3 + 2 + 6 = 18 m 5. 4 6 8 10 a) Increases by 2 b) 14 6. 6 10 14 18 a) b) Increase by 4 26 7. a) 10; 12 ; square must be on the top left or top right so that new perimeter doesn t change 8. a) Figure A has a smaller perimeter. You can find that by counting the edges. There are 8 edges for Figure A and 10 for figure B. b) Figure B could be drawn vertically. 9. Teacher AP Book ME4-17 page 116 1. a) 2 + 3 + 2 + 3 = 10 b) 2 + 2 + 5 + 5 = 14 c) 2 + 1 + 1 + 4 + 1 + 5 = 14 d) 1 + 5 + 2 + 2 + 1+ 3 = 14 2. A: 12 units B: 16 units C: 24 units 3. Answers may vary. 4. Answers may vary. AP Book ME4-18 page 117 1. a) 10 b) 8 c) 14 2. C: 6 km A: 24 m D: 30 B: 28 b) C, A, D, B 3. a) Actual: 18 b) Actual: 16 4. Dimensions of the JUMP Math workbook: 21.5 by 28 Actual Perimeter = 21.5 + 21.5 + 28 + 28 = 99 5. Answers will vary. 6. a) 3.5 2 = 7 m b) 7 4 = 28 m 7. a) m b) d) km e) f) km g) m h) km 8. Answers will vary. 9. 5 + 5 +5 +5 = 20 10. Perimeter = 10 m. If each metre of border costs 15, it will cost Sally 15 10 = 150 = $1.50 altogether. 11. To measure the perimeter of a round object using a string, wrap the string tightly around the outside edge of the object. Mark the point where the string meets itself. Then hold the string up to a straight ruler and measure the length from the end to the mark you made. This is the perimeter of your round object! 12. Perimeter is the measurement around an object. 13. Yes, different shapes can have the same perimeter. (Teacher to check explanations.) AP Book ME4-19 page 119 1. a) 5, 10, 15 b) 5, 10, 15, 20, 25, 30, 35 c) 5, 10, 15, 20, 25 d) 5, 10, 15, 20, 25, 30 e) 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 f) 5, 10, 15, 20, 25, 30, 35, 40, 45 2. a) 1 c) 11 d) 7 e) 1 f) 7 g) 4 h) 9 i) 12 j) 4 k) 3 l) 9 3. a) 12: 30 Thirty minutes after twelve Half past the hour b) 8:50; Ten minutes to nine Fifty minutes after eight c) 4:15; Quarter after four Fifteen minutes after four d) 10:40; Twenty to eleven Forty minutes after ten 4. a) 11:10 Ten minutes after 11 11 10 AP Book ME4-20 page 121 1. a) Half past b) quarter to c) half past 12 9 3 8 7 6 1 5 2 4

page 4 d) quarter past e) quarter to f) half past g) quarter past h) quarter to 2. a) 8 c) 11 d) 2 e) 2 f) 4 g) 5 h) 9 AP Book ME4-21 page 122 1. Teacher to check 2. a) 12 c) 6 d) 9 e) 5 f) 12 g) 10 h) 4 i) 2 j) 7 3. a) 8, 9, 7 c) 4, 5 d) 10, 11 AP Book ME4-22 page 123 1. a) 24 minutes past b) 19 minutes past c) 11 minutes past d) 56 minutes past e) 33 minutes past f) 47 minutes past 2. a) 6:24 b) 12:40 c) 7:27 d) 5:04 e) 3:42 f) 9:33 BONUS: g) 12:56 h) 4:29 i) 11:47 j) 2:57 k) 4:50 l) 6:44 AP Book ME4-23 page 125 1. a) 20 minutes b) 30 minutes c) 35 minutes d) 25 minutes e) 20 minutes f) 35 minutes 2. a) 6:50, 6:55, 7:00, 7:05, 7:10, 7:15, 7:20, 7:25 35 minutes b) 4:45, 4:50, 4:55, 5:00, 5: 05 20 minutes c) 12:35, 12:40, 12:45, 12:50, 12:55, 1:00, 1:05 30 minutes d) 1:55, 2:00, 2:05, 2:10, 2:15, 2:20, 2:25, 2:30 35 minutes 3. 45 minutes 4. 8:15 5. 5:30 AP Book ME4-24 page 126 1. a) 2 hours 25 minutes b) 3 hours 15 minutes c) 1 hour 35 minutes 2. a) 3:45, 3:50, 3:55, 4:00, 5:00, 6:00, 6:05 2 hours 20 minutes b) 7:50, 7:55, 8:00, 9:00, 9:05, 9:10 1 hour 20 minutes c) 10:55, 11:00, 12:00, 12:05, 12:10, 12:15, 12:20 1 hour 25 minutes 3. a) 23 minutes b) 1 hour 1 minute c) 6 hours 18 minutes d) 4 hours 15 minutes e) 2 hours 37 minutes 4. a) 2 hours 30 minutes b) 1 hour 30 minutes c) 1 hour 20 minutes AP Book ME4-25 page 127 1. a) a.m. b) p.m. c) p.m. d) p.m. e) p.m. f) a.m. BONUS: g) a.m. h) p.m. i) p.m. j) a.m. 2. Teacher to check, answers will vary. 3. a) 7:45 am b) 8:30 am c) 30 minutes 4. Teacher to check, answers will vary. AP Book ME4-26 page 128 1. 12-hr clock 24-hr clock 12:00 am 00:00 1:00 am 01:00 2:00 am 02:00 3:00 am 03:00 4:00 am 04:00 5:00 am 05:00 6:00 am 06:00 7:00 am 07:00 8:00 am 08:00 9:00 am 09:00 10:00 am 10:00 11:00 am 11:00 12:00 pm 12:00 1:00 pm 13:00 2:00 pm 14:00 3:00 pm 15:00 4:00 pm 16:00 5:00 pm 17:00 6:00 pm 18:00 7:00 pm 19:00 8:00 pm 20:00 9:00 pm 21:00 10:00 pm 22:00 11:00 pm 23:00 12:00 am 00:00 2. a) 12 b) You add 12 to all the pm times to convert to their 24 hour notation. 3. a) 05:00 b) 23:00 c) 18:00 d) 15:00 e) 20:00 f) 00:00 g) 12:00 h) 21:00 4. a) 7:00 am b) 3:00 pm c) 1:00 pm d) 12:00 am e) 6:00 pm f) 5:00 pm g) 6:00 am h) 11:00 pm 5. Time finished: Dinosaur 11:30 Reptiles 13:30 Lunch 14:00 Ancient Egypt 15:00 Bat Cave 15:30

page 5 6. a) For a 24-hr clock, there is a 0 in front of the hour and the time is not labelled by an am. b) Using the 24-hr notation, the time in the afternoon/evening is calculated by adding 12 to the corresponding time in the 12-hr format. It is also not followed by a pm label. AP Book ME4-27 page 129 1. a) 14 days + 3 days = 17 days b) 14 days + 5 days = 19 days c) 21 days + 2 days = 23 days 2. a) Time after Planting: 4, 8, 12, 16, 20, 24 Teacher to check rough work. b) 4 days c) 22 days 3. Answers will vary. AP Book ME4-28 page 130 1. In order: minute, hour, day, week, year 2. a) Days Hours 1 24 2 48 3 72 b) Weeks Days 1 7 2 14 3 21 Years Weeks c) 1 52 2 104 3 156 Years Days d) 1 365 2 730 3 1 095 3. How old are you? - Years How long does recess last? - Minutes How long do you sleep each night? - Hours How long is March break? - Weeks How long is suer vacation? - Months 4. a) Teacher to check b) 5 years old c) 47 years AP Book ME4-29 page 131 1. January February March April May June July August September October November December 2. April = 4 February = 2 December = 12 3. a) 1963 06 18 b) 1976 04 09 c) 2001 05 24 d) 1987 12 25 e) 1942 09 29 f) 1867 07 01 g) 1973 03 14 4. a) July 25, 1982 b) December 31, 1999 c) June 01, 2001 d) May 07, 1963 e) May 17, 1977 f) May 08, 1981 5. a) 4 c) 9 d) 2 e) 8 f) 15 g) 20 h) 300 i) 4 6. Not possible month and date are switched around (there is no 24 th month). 7. a) Yes b) Teacher (As of 2013: roughly 15 decades)

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