Name _____________________________________ G SERIES Time Teacher Student Book Series G – Time Contents Topic 1 –1 Telling Section – Answers time(pp. (pp.1–26) 1–8) Date completed _________________________________________ • telling analogue time and digital_ __________________________________1 / / _ ________________________________________ _____________________________________ 9 • calculating time 24 hour time / / _ __________________________________________ ____________________________________ 18 • time timetables applications / / • L.A. here we come! – solve______________________________ / / • race against time – apply________________________________ / / __________________________________________ trails___ ________________________________________ • time timetables 31 / / • word problems________________________________________ / / • using a stopwatch_ ____________________________________ / / • whodunit? – solve_____________________________________ / / • connect clocks – apply__________________________________ / / • calendars____________________________________________ / / • Australian time zones_ _________________________________ / / • world time zones______________________________________ / / • “don’t forget to call home!” – apply_______________________ / / • timelines – apply______________________________________ / / • time of your life – create________________________________ / / Section 2 – Assessment with answers (pp. 27–32) • telling time_________________________________________ 27 Topic 2 – Calculating time (pp. 9–17) time_____________________________________ 29 • calculating Section 3 – Outcomes (p. 33) Topic 3 – Time applications (pp. 18–26) Series Authors: Rachel Flenley Nicola Herringer Copyright © Telling time – analogue and digital An analogue clock has two hands – an hour hand and a minute hand. 1 Read the time on the analogue clocks and express as digital times: morning a 2 A digital clock shows time using digits. The hour always comes first. morning : am 5:00 b evening : am 6:30 c morning : pm 8:15 : 11:11 am d Express these times on the digital clocks: 88:88 88:88 88:88 88:88 a Half past eight b 13 minutes 8:30 pm in the evening to midday 11:47 am c17 minutes past five d 10 to 7 in 5:17 am in the morning the evening 3 6:50 pm Show these digital times on the clocks: a 5:56 b 12:47 c 1:32 d 8:48 e 9:43 f 12:00 g 3:45 h 11:07 Time Copyright © 3P Learning G 1 SERIES TOPIC 1 Telling time – analogue and digital 4 Look at the problems below. Indicate the answers as marked: aI go to a movie that starts at 5:30. It runs for 2 hours. Circle the start time and put a box around the finish time. bI put a cake in the oven at 2:45. It takes 48 minutes to cook. Place a double line under the start time and a cross through the finish time. Quarter to three 3:33 20 to 8 Half past seven 4:30 5 You will need 3 different coloured pencils for this activity. Colour the times that match: 1 hour and twenty-three minutes after 10:00 15 minutes after half past two 7 minutes before eleven thirty 1 hour and 44 minutes before 2 pm 3 and a half hours after me is 3:46 6 The time is 38 minutes after 4 o’clock. Show this time in as many ways as you can: 4:38 38 past 4 22 minutes to 5 2 G 1 SERIES TOPIC Time Copyright © 3P Learning Telling time – 24 hour time We can also use the 24 hour time model to express time. We number the hours from 0 to 23 because there are 24 hours in a day. When it gets to the 24th hour, it starts again at 0. Can you think of situations when it is better to use 24 hour time rather than digital time? 0000 12 0100 1 0200 2 0300 3 0400 4 0500 0600 A M 6 7 0800 8 0900 9 1000 10 1100 11 1200 12 1300 1 1400 2 1500 3 1600 4 1800 1900 P M a d 2 6 7 8 2100 9 2200 10 2300 11 0000 12 1010 b 1935 am 5 2000 3 Express these times in 24 hour time: am pm pm 5 0700 1700 1 0220 c 2305 pm am e 0305 f 1915 Use 24 hour time to write: a 4:25 am 0425 b 9:35 pm 2135 c 12:25 am 0025 d 12:40 pm 1240 e 3:30 am 0330 f 2:45 pm 1445 g 8:15 pm 2015 h 10:20 am 1020 Convert these 24 hour times into digital form. Write am or pm next to the time: a 1315 = 1:15 pm : b 0514 = 5:14 am : c 2330 = : 11:30 pm d 0245 = : 2:45 am Time Copyright © 3P Learning G 1 SERIES TOPIC 3 Telling time – 24 hour time 4 Convert these times to 24 hour time then order them from earliest to latest: 20 past 3 in the afternoon 2:30 am 0045 0230 0330 9:35 pm 0545 0745 pm pm 1400 12:45 am 1520 a quarter to 6 in the morning 1905 am half past 3 in the morning 7:05 pm 5 2135 This table shows the session times at the local cinema. Use the information to answer the following questions: Movie Screening times Running time 13:15, 15:00, 18:00 95 minutes Spooky Movie 19:30 110 minutes Feel Good Flick 12:00, 15:30 90 minutes 20:00 130 minutes 11:00, 13:15 120 minutes Animated Family Shoot ’em up Classic Highschool Woes 4 1656 a The first screening of Feel Good Flick is 12:00. What time does it finish? 1:30 pm or 0130 _______________________ b Which movie ends at 9:20 pm? Spooky Movie _______________________ cSarah arrives at the cinema at 2:45 pm. How long does she have to wait for the next screening of Animated Family? 15 minutes _______________________ dMatt walked out of the 11:00 session of Highschool Woes half an hour before the end. What time did he leave? 12:30 pm or 1230 _______________________ G 1 SERIES TOPIC Time Copyright © 3P Learning Telling time – timetables Timetables are often used to show transport schedules. It is important to be able to read timetables as they have the information we need to plan journeys. 1 This timetable uses 24 hour time. Study this bus timetable and then fill in the gaps. Destination Bus 1 Bus 2 Bus 3 Bus 4 Bus 5 Geraldton 0900 1000 1100 1200 1300 Port Leys 1015 1115 1215 1315 1415 Shelley Cove 1100 1200 1300 1400 1500 Albertson 1345 1445 1545 1645 1745 Benlin 1410 1510 1610 1710 1810 a How long does it take to get from Geraldton to Shelley Cove? 2 hours _______________________ b How long does it take to get from Shelley Cove to Benlin? 3 hours 10 minutes _______________________ c How often does the bus leave from Geraldton? Once an hour _______________________ d How often does the bus arrive in Benlin? Once an hour/ 10 past the hour _______________________ eIf I was leaving from Geraldton and I needed to get to Albertson by 2:00 pm, which bus should I catch? Bus 1 at 0900 _______________________ fIf I was leaving from Shelley Cove and I needed to be in Benlin by 4:30 pm which bus should I catch? Bus 3 at 1300 _______________________ g How long does the entire journey from Geraldton to Benlin take? 5 hours 10 minutes _______________________ Timetables are also used to show the scheduling of television programs. 2 Use this TV guide to answer the questions. 17:10 Cartoons 18:00 Comedy 18:30 News 19:30 Documentary 20:45–23:15 Film a What is the shortest program? Comedy _______________________ bI am setting up my DVDR to record the documentary. How long should I record for? 1 hour 15 minutes cHow much longer is the film than the documentary? 75 minutes Time Copyright © 3P Learning G 1 SERIES TOPIC 5 Telling time – timetables 3 Use the bus timetable below to answer the questions. Bus Route – City Hall to Museum 6 12:07 1:37 3:07 3:30 3:32 4:35 5:35 6:33 7:33 12:10 1:40 3:10 3:35 3:37 4:40 5:40 6:38 7:38 12:17 1:47 3:17 3:40 3:42 4:50 5:50 6:45 7:43 Harris Ave Museum 6:45 7:25 8:00 8:35 9:17 10:02 10:47 Holt Street 6:38 7:18 7:53 8:30 9:10 9:55 10:40 City Hall Museum Holt Street 6:35 7:15 7:50 --9:07 9:52 10:37 Morning --7:30 9:40 9:42 10:50 10:52 Afternoon 12:05 12:07 2:35 2:37 --5:05 --7:30 --10:15 York Street Morning --6:30 --7:10 ------8:20 9:00 9:02 9:45 9:47 10:30 10:32 Afternoon 12:00 12:02 1:30 1:32 3:00 3:02 ----3:25 3:27 --4:30 --5:30 --6:30 --7:30 Saturday York Street City Hall Harris Ave Monday to Friday 7:33 9:45 10:55 7:38 9:50 11:00 7:45 9:57 11:07 12:10 2:40 5:08 7:33 10:18 12:15 2:45 5:13 7:38 10:23 12:22 2:52 5:18 7:43 10:28 Bus Fares (one way) Stops Fares 1 $1.80 2 $2.50 3 $3.50 aWhich bus does Iqbal need to catch on Thursday from City Hall to be at York Street at 9:52 am? 9:45 am _______________________ bAli wants to be at Museum at 12:22 pm on Saturday. What time does she need to catch the bus at Harris Avenue? 12:07 pm _______________________ cLauren travelled from York Street to Museum. How much change would she get from a $10 note? $7.50 _______________________ dZac wants to travel from City Hall to Holt Street on Saturday morning. If he catches the 9:40 am bus, how long will his trip be? 10 minutes _______________________ eMinh travels from City Hall to Harris Avenue, where he stops for lunch. Next, he travels from Harris Avenue to Museum. How much has he spent on bus fares? $5.30 _______________________ G 1 SERIES TOPIC Time Copyright © 3P Learning L.A. here we come! Getting ready What to do solve Five different families were travelling to Los Angeles for a holiday to one of the many theme parks. Their flights all left on the same day, but each family left at a different time and were going to a different theme park. Find out each family’s flight number, departure time and the theme park they went to. Read the clues below and use the grid to keep track of what you find out. Use a cross when you are sure 2 variables do not match and a tick when you know that they do. The first clue has been entered into the grid to show you how to do this. 1 Flight 938 left at 4:45 pm with the Herringers on board. 2The Herringers and the family going to Seaworld were not on the flight leaving just before 6 pm. 3The Nicholls family who were on flight 762 were not interested in going to Knott’s Berry Farm or Disneyland. 4 Flight 938 was the flight of the family going to Universal Studios. 5 The Kirk family was the last of all the families to fly out on flight 165 on the way to Knott’s Berry farm. 1 6 The Flenleys were on Flight 513 which left 1 2 hours before flight 938. Family Flight Number Time Theme Park 762 938 513 165 14:38 15:15 16:45 17:53 SW US DL KBF Nicholls Herringer Flenley Kirk Time Copyright © 3P Learning G 1 SERIES TOPIC 7 Race against time Getting ready What to do apply This is a game for 2 players. You will each need a photocopy of this page. Cut out the cards. You and your partner should shuffle each other’s cards really well. Hand the cards back. copy Race each other to match the cards to make all the sums. You will need to calculate the time sum on the white cards and then find the answer which is on the grey cards. Stop playing when one player has finished. Check each other’s cards. The winner is the player who has the most sums correct! = 3:25 3:45 – 20 minutes 9:59 – 1 hour = 8:59 1:16 + 14 minutes = 1:30 = 4:00 3:46 + 14 minutes 10:58 + 22 minutes = 11:20 = 2:25 3:10 – 45 minutes = 11:25 12:00 – 35 minutes 1 7:30 + 22 hours = 10:00 8:56 + 34 minutes = 9:30 3:56 + 24 hours = 3:56 1 6:30 + 32 hours = 10:00 11:50 – 25 minutes = 11:25 7:14 + 10 minutes = 7:24 3:17 + 2 days = 3:17 What to do next 8 G 1 SERIES TOPIC Add to this set of cards by writing your own matching time sums. Time Copyright © 3P Learning Calculating time – time trails We can use our knowledge of basic time facts to help us convert between hours, seconds and minutes. 1 By knowing these facts: 1 minute = 60 seconds 3 minutes = 180 seconds (3 × 60) 1 hour = 60 minutes 1 12 hours = 90 minutes (60 + 30) 1 day = 24 hours 1 week = 168 hours (7 × 24) 1 year = 52 weeks 2 years = 104 weeks How many seconds or minutes? You may use a calculator if you wish: 420 seconds b 86 minutes = 5 160 seconds c360 seconds = 6 minutes d 420 seconds = 7 minutes e240 seconds = 4 minutes f 48 minutes = 2 880 seconds a 7 minutes 2 3 We can convert times such as: = Convert the following into more appropriate units: a 240 minutes= 4 hours b 360 minutes= 6 hours c360 seconds = 6 minutes d 420 minutes= 7 hours e420 seconds = 7 minutes f 540 seconds = 9 minutes Use a calculator to help you work out how many: 1440 a minutes in a day ______________________________ I need to multiply to move from a larger unit to a smaller unit and divide to do the opposite! 10 080 b minutes in a week _____________________________ 524 160 c minutes in a year _____________________________ Answer will vary. d minutes you have been alive _ ___________________ 4 Did you know that the giant tortoise has a life span of 177 years? 64 605 (64 649.25 if you count leap years) How many days is this?_____________________________________________________________________ Time Copyright © 3P Learning G 2 SERIES TOPIC 9 Calculating time – time trails 5 Draw hands on these clocks to show the time half an hour later: 10:45 a 6 8:15 2:20 c d 9:55 d 7:35 Draw hands on these clocks to show the time half an hour earlier: 1:15 a b 5:40 11:05 c Complete these clocks to show the elapsed times: 35 minutes 42 minutes 59 minutes 17 minutes 3:35 1:14 9:07 6:32 100 minutes 19 minutes 48 minutes 12 minutes 8:00 2:05 5:41 10:49 Finish Start Finish Start 7 b 10 G 2 SERIES TOPIC Time Copyright © 3P Learning Calculating time – word problems Timelines can help us with more difficult word problems. Question: Tina went to watch a movie that started at 5:38 pm and finished at 7:10 pm. How long did the movie go for? Steps: 1. F irst count on in hours in your head to get as close to the finish time as possible and write it in the first box. (The finish time is 7:10 pm so we need to add 1 hour to 5:38 pm make it 6:38 pm.) 2. T hen count on in 10 minute and 2 minute jumps until you get to the finish time. 5:38 pm + 1 hour = 6:38 pm 7:10 pm Answer: 1 hour and 32 minutes 1 Show how you use the timeline by adding the jumps to each timeline. aYear 12 were doing a writing assessment that started at 11:20 am and finished as 1:12 pm. How much time were they allowed? 1 hr 52 mins 11:20 am + 1 hour = 12:20 pm bTammy entered a shopping centre car park at 11:32 am and left at 3:26 pm. How long was Tammy shopping for? 11:32 am + 3 hours = 3 hrs 54 mins 2:32 pm cLast Easter holidays, the Gilmore family got stuck in a traffic jam and were delayed. If they arrived at 5:52 pm and were due to arrive at 3:10 pm, how long were they delayed? 2 hrs 42 mins 2 = 5:10 pm 3:10 pm + ____ dOn Saturday I went to a film that started at 5:15 pm and finished at 7:52 pm. How long was this film? 2 hrs 37 mins 2 = 7:15 pm 5:15 pm + ____ Time Copyright © 3P Learning G 2 SERIES TOPIC 11 Calculating time – word problems 2 Use these timelines to help work out the answers by working backwards: aAmity’s alarm clock went off at 7:42 am. This was 2 hours and 48 minutes too late so she missed her bus. What time should it have gone off? –40 mins : 4:54 am HINT: Count back in minutes and then hours. –8 mins 7:42 am bA plane arrived in Sydney at 9:48 am. It had left Adelaide 2 hours and 36 minutes earlier. What time did it leave Adelaide? –30 mins : 7:12 am –6 mins 9:48 am 3 Figure out the scale used for these timelines and answer the questions: To work out the scale, count the spaces and divide into the number of minutes given. aWork out the time each person arrived at the soccer match using the scale below and this clue: Charlie arrived 14 minutes later than Marty. Marty arrived Charlie arrived Lanya arrived 1:15 pm Marty : 1:23 pm : Charlie 1:37 pm Lanya : 1:49 pm bWork out what time the first person arrived at Dan’s party using the scale below and this clue: Lunch was served at 12:50 pm. First person arrives Lunch is served Party games start 3:00 pm 12 The first person arrived at G 2 SERIES TOPIC : 11:20 am Time Copyright © 3P Learning Calculating time – using a stopwatch The time on this stopwatch reads as: 3 minutes, 52 seconds and 42 hundredths of a second. 1 2 3 03:52:42 Explain what each number represents on the following stopwatches: a 03:32:21 3 minutes, 32 seconds and 21 hundredths of a second. b 04:47:16 4 minutes, 47 seconds and 16 hundredths of a second. c 05:57:49 5 minutes, 57 seconds and 49 hundredths of a second. Show the time on these stopwatches: a 1 minute, 31 seconds and 99 hundredths of a second. 01:31:99 b5 minutes, 16 seconds and 59 hundredths of a second. 05:16:59 c 2 minutes, 17 seconds and 89 hundredths of a second. 02:17:89 Show the final time on the stopwatch after adding these times together: 36 hundredths of a second 61 seconds 16 minutes 14 minutes 21 hundredths of a second 31:01:57 Time Copyright © 3P Learning G 2 SERIES TOPIC 13 Calculating time – using a stopwatch 4 Jelena and Serena are running time trials in preparation for a marathon. For each trial find the time difference between the two girls: Serena a 02:18:16 b 01:24:49 c 05:37:18 Jelena Time difference 1 hundredth of a second 3 hundredths of a second 76 hundredths of a second 02:18:17 01:24:46 05:37:94 Serena d Based on these trials, who do you predict might come first in the marathon?_______________________ 5 3 6 5 10 1 4 7 9 8 2 How fast is your reaction time? Find a partner and time each other with a stopwatch to do the following tasks: Answer will vary. a Touch each square in numerical order ______________________________________________________ Answer will vary. b Touch each square in order of even numbers _ _______________________________________________ Answer will vary. c Touch each square in order of odd numbers _________________________________________________ Answer will vary. d Try each of the above with your other hand _ ________________________________________________ 6 Now, work with your partner to estimate and measure the time it takes to complete an activity. Choose an activity such as race from the library to the office. Make your prediction, then try it out. How close are you? Do your estimations get closer with practice? Answer will vary. ____________________________________________________________ 14 G 2 SERIES TOPIC Time Copyright © 3P Learning Choose a safe activity that your teacher approves of! Whodunit? Getting ready solve Mrs Smith is livid … furious … about to burst a blood vessel. She has come home at 6 pm to find that one of her kids has dropped pizza on the new cream sofa, leaving tomato sauce and ham everywhere. And as for the grease stains, she can’t bear to even think about them. Mr Smith was in the shed the whole afternoon and can cast no light on the matter. She will deal with him later. She has hauled in all the kids to find the culprit. What to do Read each alibi and find out who is lying. Someone has a gap in their timeline. And in that time, they managed to make the mess … Use the timetable to show who is the guilty party. Note: They all finish school at 3:30 pm. Jack says he couldn’t have done it because: “School finished at 3:30 pm and I went straight to soccer practice. It takes 15 minutes to get to soccer practice and the practice lasted for an hour. Then it took 15 minutes to walk home. And Tom came home with me and we were on the PlayStation for an hour and then you came home! Ask Tom, he’ll tell you we didn’t leave the PlayStation.” Madison’s alibi is: “I can’t have done it! I had dance class after school in the gym for an hour. And then Li’s mum picked me up and took us both out for ice cream. That took 30 minutes. And then I went back to Li’s and we MSN’ed for 45 minutes. Then I walked home and that takes 15 minutes. So it wasn’t me!” Dakota claims innocence this way: “Well, it couldn’t have been me because I went next door to Nikki’s after school for 1 hour and 45 minutes. And then I came home and got changed for kung fu which took 15 minutes. And then just as I finished, Nikki rang at 5:45 pm to say they would pick me up in 15 minutes to go to kung fu, so I am innocent!” Dakota Whodunnit?___________________________________________________________ Time Jack Dakota Madison 3:30–4:00 4:00–4:30 4:30–5:00 5:00–5:30 5:30–6:00 What to do next Think of an appropriate consequence for the guilty party. Time Copyright © 3P Learning G 2 SERIES TOPIC 15 Connect clocks Getting ready What to do apply This is a game for 2 players. You will each need a set of 3 counters of the same colour. You will need a photocopy of this page and the next page. Cut out the cards once you have copied the page. copy The aim of this game is to get 3 counters in a line either diagonally, horizontally or vertically. After you have cut out the cards on the next page, you place them in a pile turned over. Player 1 turns the first card over and places a counter on the matching clock face. Player 2 then has a turn and so on. The winner is the first person is to get 3 counters in a line. The clocks with grey backgrounds are pm times and the clocks with white backgrounds are am times. 16 G 2 SERIES TOPIC Time Copyright © 3P Learning Connect clocks apply copy A quarter to twelve at night 1530 11:30 am 3:45 pm 10:15 am A quarter past three in the morning 2115 1510 9:45 am Seven twenty pm 8:20 am Midday 1430 A quarter past midnight 2200 5:20 pm 10:00 am 1540 1415 7:45 am 1810 Ten past midnight Four fifteen pm Half past three pm Eleven thirty am 14:20 1720 9:10 am 1630 2:20 am A quarter to 6 in the morning 1845 1720 Thirty minutes before 7 pm 18 before 2 pm 1810 Time Copyright © 3P Learning G 2 SERIES TOPIC 17 Time applications – calendars 1 Calendars have been used by different civilisations for thousands of years. Fill in the rest of the dates on this calendar. January 2010 M T W T February 2010 S S M T W T F S S M T W T F S S 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 M T W 15 16 17 18 19 20 21 22 23 24 25 26 27 28 April 2010 F S S M 1 2 3 4 31 T W T F June 2010 S S 1 2 M T W T F S S 1 2 3 4 5 6 5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13 12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20 19 20 M T 21 22 23 24 25 26 27 28 29 30 17 18 19 M T W July 2010 W 20 21 22 23 24 25 26 27 28 29 30 August 2010 T F S S 1 2 3 4 T F September 2010 S S 30 31 M T 1 W T F S S 1 2 3 4 5 5 6 7 8 9 10 11 2 3 4 5 6 7 8 6 7 8 9 10 11 12 12 13 14 15 16 17 18 9 10 11 12 13 14 15 13 14 15 16 17 18 19 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 October 2010 M T W T 26 27 28 29 22 23 24 25 26 27 28 29 30 20 21 November 2010 December 2010 F S S M T W T F S S 1 2 3 1 2 3 4 5 6 7 M T W T F S S 1 2 3 4 5 4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12 11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19 18 19 20 21 22 23 24 22 23 24 25 25 26 27 28 29 30 31 26 27 28 29 30 21 22 23 24 25 26 27 28 29 30 31 20 Use the completed calendar to answer these questions: a How many times does the end of the month fall on a Saturday? b Which day of the week is the last day of the previous year? cWhich day of the week is the first day of the following year? 18 22 23 24 25 26 27 28 29 30 31 May 2010 T 21 22 23 24 25 26 27 28 29 30 2 March 2010 F G 3 SERIES TOPIC Time Copyright © 3P Learning Once Thursday Saturday Time applications – calendars 3 You get an allowance from your parents provided you complete all your chores on time. They let you choose how you want to be paid. Option 1: Receive $50 a month Option 2: Receive $12 a week Weekly Which option will you choose? _____________________ Use the calendar to work it out and show your reasoning. $50 x 12 = $600 (monthly) $12 x 52 = $624 (weekly) 4 Use the calendar for 2010 on page 18 to answer this question. What date and day of the week am I? aI am in the second week of the third month, in 2010. I am a single digit. I am not Monday. Tuesday 9th March I am_ ________________________________________________________________________________ bI am in the month with 30 days that comes straight after March. I am in the middle week and I am right before the weekend. Friday 16th April I am_ ________________________________________________________________________________ cI am the last day of a summer month in the northern hemisphere. I am not July or August. Wednesday 30th June I am_ ________________________________________________________________________________ Time Copyright © 3P Learning G 3 SERIES TOPIC 19 Time applications – Australian time zones Australia has three time zones. New Zealand has one. Why do you think this is? Central Standard Time is 12 an hour behind Eastern Standard Time. Western Standard Time is 2 hours behind Eastern Standard Time. New Zealand is 2 hours ahead of Australian Eastern Time. Darwin 1 On the map, label each capital city in Australia and New Zealand. Brisbane Sydney Hobart Perth Adelaide Melbourne 2 Brisbane Central Standard Eastern Standard New Zealand Perth Darwin Wellington Now you are in Perth. What time will it be in: 4 00 Perth 20 Eastern Standard Time You are in Brisbane and it is 7 pm. What time will it be in: 4 Central Standard Time Show the time in each zone based on the first clock. Western Standard 3 Wellington Western Standard Time G 3 SERIES TOPIC 5:30 6:00 8:00 Darwin Brisbane Wellington Time Copyright © 3P Learning Time applications – Australian time zones Daylight Saving is used by New Zealand, New South Wales, Australian Capital Territory (ACT), Tasmania, Victoria and South Australia as a way of having more daylight hours after work. When Daylight Saving begins, clocks are put forward 1 hour. When it ends, clocks are put back 1 hour. Queensland, Western Australia and the Northern Territory do not use Daylight Saving. 5 Use 24 hour time to record the corresponding times in each city during Daylight Saving time. Use the time zone information on page 20 to guide you. a b 6 Hobart (Tas) 0621 Wellington 1511 (NZ) Adelaide (SA) 0551 Sydney (NSW) 1311 Melbourne 0621 (VIC) Darwin (NT) 1241 Perth (WA) 0421 Brisbane (QLD) 1311 Complete these flight schedules in 24 hour time, noting the flying time. Again, use the time zone information on page 20 to guide you. Remember to take daylight saving into account. a c Wellington to Sydney 3 hours flying time b Sydney to Brisbane 1 1 2 hours flying time Depart Sydney Arrive Wellington Depart Sydney Arrive Brisbane 1715 2215 1130 1200 1845 2345 1330 1400 1915 0015 1530 1600 2045 0145 1730 1800 Darwin to Sydney 4 hours flying time d Sydney to Perth 5 hours flying time Depart Sydney Arrive Darwin Depart Sydney Arrive Perth 1200 1430 0610 0910 1330 1600 0810 1110 1420 1650 1010 1310 1510 1740 1200 1500 Time Copyright © 3P Learning G 3 SERIES TOPIC 21 Time applications – world time zones Lines of latitude and longitude form a grid that can be used to pinpoint any location in the world. The equator is an imaginary line around the centre of the earth. It is measured at 0°. Latitude is the measurement of distance in degrees north and south of the equator. From the equator to the North and South Pole there are 90° of latitude. Lines of latitude run horizontally. Longitude is the measurement of distance in degrees east or west of the Prime Meridian. The Prime Meridian divides the earth in half and passes through Greenwich, England at 0°. All lines of longitude pass through the North and South Poles. They run vertically. There are 180° of longitude on each side of the Prime Meridian. On the opposite side to the Prime Meridian is the International Date Line. Longitudinal lines to the left of the Prime Meridian give locations in the western hemisphere. Longitudinal lines to the right of the Prime Meridian give locations in the eastern hemisphere. 1 Use your own words to describe longitude and latitude to someone: Answers will vary. _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 2 You will need an atlas for this question. Find out the longitude and latitude of the following capital cities. Name their countries: a Madrid is the capital of 22 . The longitude and latitude are Spain b Bangkok is the capital of Thailand .The longitude and latitude are c Helsinki is the capital of Finland . The longitude and latitude are G 3 SERIES TOPIC Time Copyright © 3P Learning 3.43° W, 40.25° N . 100.30° E, 13.44° N . 25° E, 60.08° N . Time applications – world time zones Midnight 6 am Noon 6 pm Midnight Greenwich Los Angeles Shanghai Cape Town Buenos Aires Sydney West East Earlier 165º 0º 3 135º 150º 105º 120º Later 75º 90º 45º 60º 15º 30º 15º 0º 45º 30º 75º 60º 105º 90º 135º 120º 165º 150º Look at the lines of longitude that these cities of the world are closest to. Calculate these time differences. 0º This shows the lines of longitude on a flat map of the world. Each line represents 15° and equals 1 hour. All times west of Greenwich are behind Greenwich Mean Time (GMT) and all times east of Greenwich are ahead of GMT. Greenwich is a place in London. Going west time is earlier than GMT and east is later than GMT. 18 a Los Angeles is __________ hours ahead / behind Sydney. 7 b Shanghai is __________ hours ahead / behind Cape Town. 4 c Buenos Aires is __________ hours ahead / behind Greenwich in London. 4 What time will it be at Greenwich when the time is: a 6 pm in Shanghai? 10 am _ __________________ 6 pm c 2 pm in Buenos Aires?_ __________________ 5 b 10 am in Sydney? 12:00 midnight _____________________ 1 pm d 5 am in Los Angeles? _____________________ Work out the missing times in these flight schedules: a b Flights from Sydney to Cape Town 14 hours flying time Flights from Los Angeles to London 11 hours flying time Depart local time Arrive local time Depart local time Arrive local time 1 pm 6 pm 6 am 1 am Time Copyright © 3P Learning G 3 SERIES TOPIC 23 24 G 3 SERIES TOPIC Time Copyright © 3P Learning 0º 150º 135º 120º Los Angeles 165º Midnight 105º 90º Earlier 75º West 60º Buenos Aires 6 am 45º 30º 15º 0º 15º Cape Town 30º Greenwich Noon 45º 60º 75º 90º Later 120º 105º East Shanghai 6 pm 150º 135º 165º 0º Sydney Midnight “Don’t forget to call home!” Getting ready apply For this game, you will need the enlarged map on the previous page (page 24) and 2 dice. You are a contestant on the reality show, “Don’t Forget to Call Home!” As well as the usual race around the world stunts, you have to call London every day between set hours. The point scoring system is below. It pays to get the timing right as the winning contestant scores $1 000 000 in prize money! What to do Time in London Points 0900 – 1700 10 points 1800 – 0800 –10 points Look back to your world time zone map to work out time differences. Remember Greenwich is in London. 1Roll 2 dice to get the time and place from which you call. For example, if you roll 1 or 2 for the place and a 3 for the time, you are calling from Los Angeles at 1700. 2Work out what time it is in London. Using the same example, the time in London would be 8 hours later which makes it 0100. So you would score –10 points because the early hours of the morning is a bad time to call! Number on Die Place or Los Angeles or Shanghai or Sydney Number on Die Time 3Keep track of your calls below. The person who gets the most points by the end of the table, wins! Time and Place Points Running Tally 1000 1400 1700 1200 2100 2300 Time Copyright © 3P Learning G 3 SERIES TOPIC 25 Timelines Getting ready apply Draw a line from each invention to its corresponding place on the timeline. 600 BC chopsticks 1963 computer mouse 1842 ice cream maker 1524 pocket watch 700 BC button 589 BC toilet paper 1000 BC 500 BC Birth of Christ AD 500 AD 1500 AD 2000 aHow many years are there between the invention of the pocket watch and the year it is now? 485 in 2009 __________________ bHow many years are there between the invention of the button and the Birth of Christ? 700 __________________ cHow many years are there between the invention of the ice cream maker and the invention of chopsticks? 2442 __________________ Time of your life What to do AD 1000 create Create a timeline of your life. You may show your whole life or an exciting segment. Make some rough plans below and then decide how you will present the timeline. Think about what scale you will use and how large you want your final product to be. What to do next 26 G 3 SERIES TOPIC Have a whole class presentation afternoon where you can wander around the room and learn about each other. You could organise a quiz and have a prize for the person who remembers the most about you. Time Copyright © 3P Learning Telling time 1 Name_ ____________________ Express the following as digital times: afternoon a 2 pm b : evening c am : morning d pm : am Convert these times between 24 hour time and digital: = b 0300 = c 1317 d 4:18 pm= e 9:00 am= f 11:35 pm= a 2100 3 : morning = Answer the following questions based on this train timetable: Train timetable Train 1 Train 2 Train 3 Train 4 Chasewood 9:00 am 9:40 am 10:08 am 10:52 am East Village 9:15 am 9:55 am 10:23 am 11:16 am Bridesford 9:45 am 10:40 am 11:06 am 12:07 am a Which is the fastest train from Chasewood to Bridesford? ____________________ bIf you needed to get to East Village by 10:00 am, which train would you get from Chasewood? ____________________ cWhat is the difference between the fastest and the slowest train from Chasewood to Bridesford? ____________________ Skills Not yet Kind of Got it • Matches analogue and digital clocks • Converts between 24 hour time and am or pm notation • Reads, interprets and uses timetables from real-life situations, including those involving 24 hour time Series G Topic 1 Assessment Copyright © 3P Learning 27 Telling time 1 Name_ ____________________ Express the following as digital times: afternoon a 2 : pm pm 8:22 b evening c : am am 9:45 morning d : pm pm 10:10 : am am 4:58 Convert these times between 24 hour time and digital: a 2100 = d 4:18 pm= 3 morning 9:00 pm b 0300 1618 e 9:00 am= = 3:00 am c 1317 0900 f 11:35 pm= = 1:17 pm 2335 Answer the following questions based on this train timetable: Train timetable Train 1 Train 2 Train 3 Train 4 Chasewood 9:00 am 9:40 am 10:08 am 10:52 am East Village 9:15 am 9:55 am 10:23 am 11:16 am Bridesford 9:45 am 10:40 am 11:06 am 12:07 am a Which is the fastest train from Chasewood to Bridesford? Train 1 (9:00 am) ____________________ bIf you needed to get to East Village by 10:00 am, which train would you get from Chasewood? Train 2 (9:40 am) ____________________ cWhat is the difference between the fastest and the slowest train from Chasewood to Bridesford? 30 minutes ____________________ Skills Not yet Kind of Got it • Matches analogue and digital clocks • Converts between 24 hour time and am or pm notation eads, interprets and uses timetables from real-life situations, • R including those involving 24 hour time 28 Series G Topic 1 Assessment Copyright © 3P Learning Calculating time 1 What are these time relationships? a 7 minutes seconds 1 b 12 hours minutes c 2 non-leap years weeks d 360 seconds minutes Complete these clocks to show the elapsed times: 45 minutes 22 minutes 65 minutes 20 minutes 2:16 3:55 12:10 8:45 Finish Start 2 Name_ ____________________ 3 Read this elapsed time problem and use the timeline to work it out. Last Easter holidays, the Gilmore family got stuck in a traffic jam and were delayed. If they arrived at 5:52 pm and were due to arrive at 3:10 pm, how long were they delayed? 3:10 pm + ____ = 4 Tick the faster time shown on the stopwatch. a 08:23:86 Skills b 08:23:69 Not yet Kind of Got it • Recognises time relationships • Can calculate elapsed times • Recognises a faster time on a stopwatch Series G Topic 2 Assessment Copyright © 3P Learning 29 Calculating time 1 What are these time relationships? a 7 minutes 420 seconds 1 b 12 hours c 2 non-leap years 104 weeks d 360 seconds 90 minutes 6 minutes Complete these clocks to show the elapsed times: 45 minutes 22 minutes 65 minutes 20 minutes 2:16 3:55 12:10 8:45 Finish Start 2 Name_ ____________________ 3 Read this elapsed time problem and use the timeline to work it out. Last Easter holidays, the Gilmore family got stuck in a traffic jam and were delayed. If they arrived at 5:52 pm and were due to arrive at 3:10 pm, how long were they delayed? 2 hours 42 minutes 2 = 5:10 pm 3:10 pm + ____ 4 Tick the faster time shown on the stopwatch. a 08:23:86 Skills b 08:23:69 Not yet Kind of Got it • Recognises time relationships • Can calculate elapsed times • Recognises a faster time on a stopwatch 30 Series G Topic 2 Assessment Copyright © 3P Learning Timetables 1 2 Name_ ____________________ How many days in each of these months in a non-leap year? a February b September c August d April In 2010, James’ birthday is on Thursday 13th of May. His sister Marnie has her birthday exactly 3 weeks after James and his best friend Will has his birthday 4 days after Marnie. May 2010 M T W T F 31 6 7 June 2010 S S 1 2 8 9 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 10 11 12 13 14 15 16 14 15 16 17 18 19 20 17 18 19 20 21 22 23 21 22 23 24 25 26 27 24 25 26 27 28 29 30 28 29 30 Using this calendar, work out the following: 3 a What date is Marnie’s birthday? __________________________________________ b What day of the week is Will’s birthday in 2010? __________________________________________ Work out the missing times in these flight schedules if: • Kuala Lumpur is 8 hours ahead of London • Sydney is 9 hours ahead of Cape Town a London to Kuala Lumpur 12 hours flying time Depart local time b Arrive local time 8 am Skills Sydney to Cape Town 14 hours flying time Depart local time Arrive local time 6 pm Not yet Kind of Got it • Recalls how many days there are in certain months of the year • Uses a calendar for a real life purpose • Calculates time differences between major cities of the world in context Series G Topic 3 Assessment Copyright © 3P Learning 31 Timetables 1 2 Name_ ____________________ How many days in each of these months in a non-leap year? a February 28 b September 30 c August 31 d April 30 In 2010, James’ birthday is on Thursday 13th of May. His sister Marnie has her birthday exactly 3 weeks after James and his best friend Will has his birthday 4 days after Marnie. May 2010 M T W T F 31 6 7 June 2010 S S 1 2 8 9 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 10 11 12 13 14 15 16 14 15 16 17 18 19 20 17 18 19 20 21 22 23 21 22 23 24 25 26 27 24 25 26 27 28 29 30 28 29 30 Using this calendar, work out the following: 3 a What date is Marnie’s birthday? 3rd June __________________________________________ b What day of the week is Will’s birthday in 2010? Monday __________________________________________ Work out the missing times in these flight schedules if: • Kuala Lumpur is 8 hours ahead of London • Sydney is 9 hours ahead of Cape Town a London to Kuala Lumpur 12 hours flying time b Sydney to Cape Town 14 hours flying time Depart local time Arrive local time Depart local time Arrive local time 8 am 4 am 6 pm 11 pm Skills Not yet Kind of Got it • Recalls how many days there are in certain months of the year • Uses a calendar for a real life purpose • Calculates time differences between major cities of the world in context 32 Series G Topic 3 Assessment Copyright © 3P Learning Series G – Time Region Topic 1 Telling time Topic 2 Calculating time Topic 3 Time Applications MS3.5 – use 24 hour time and am and pm notation in real life situations and construct timelines NSW VIC • • • • • • use am and pm notation tell the time accurately using 24 hour time, convert between 24 hour time and am/pm notation determine the duration of events using start and finish times to calculate elapsed times use a stopwatch to measure and compare the duration of events compare various time zones in Australia read, interpret and use timetables from real life situations VELS Measurement – Level 4 • use metric units to estimate and measure time Level 4 QLD SA • use analogue and digital clocks to read time to the nearest minute • use timelines, clocks, calendars and timetables to sequence, schedule and timetable planned events • use straight forward timetables and programs with both 12 and 24 hour times 3.5 • use a range of standard tools to estimate and measure time relationships Standards 3–4 TAS • calculate the duration of time • use timetables and calendars (including digital forms) to seek information and schedule and sequence events Level 4 WA/NT ACT • directly compare and order time • estimate and calculate time durations using clocks, daily schedules, timetables and calendars • develop and use timetables and schedules 17.LC.8 measure, compare and order time by selecting and using suitable units 17.LC.12 read the time of day to the nearest minute using analogue and digital clocks, recognise and use am and pm 17.LC.13 estimate and calculate duration using starting and finishing times or dates 17.LC.1 interpret times, calendars, timetables and timelines to seek specific information or to schedule and sequence events Series G Outcomes Copyright © 3P Learning 33
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