Math Antics - Telling Time - By Lumos Learning
Transcript
00:03 | uh huh . Hi , I'm Rob . Welcome to | |
00:07 | math antics . In this lesson , it's finally time | |
00:10 | for us to learn about time like distance . Time | |
00:13 | is something you can measure and represent as a number | |
00:16 | , but we use different units to measure time and | |
00:19 | also different devices to make the measurements . There are | |
00:23 | lots of different units of time from really small ones | |
00:26 | , like nanoseconds to really big ones like centuries . | |
00:29 | But in this video , we're only going to learn | |
00:31 | about four of the most common units of time seconds | |
00:35 | , minutes , hours and days . You should be | |
00:38 | really familiar with the day , you know , because | |
00:40 | you encounter one every day . A day is the | |
00:43 | amount of time it takes the Earth to rotate on | |
00:45 | its axis one time . So it's pretty much the | |
00:48 | fundamental unit of time for our planet . But as | |
00:51 | important as the day is , we need smaller units | |
00:54 | of time for planning daily activities , so people decided | |
00:58 | to divide up each day into 24 equal chunks of | |
01:01 | time called hours . Even though an hour is only | |
01:04 | one 24th of a day , it's still a pretty | |
01:07 | long time , so we divide hours up into even | |
01:10 | smaller units called minutes specifically , each hour is divided | |
01:14 | up into 60 minutes . So a minute is 1/60 | |
01:18 | of an hour . And to get even smaller units | |
01:21 | of time , we divide up each minute into 60 | |
01:23 | equal parts called seconds . So a second is 1/60 | |
01:27 | of a minute , going from the smallest to the | |
01:30 | biggest . You should memorize that . 60 seconds equals | |
01:33 | one minute . 60 minutes equals one hour and 24 | |
01:37 | hours equals one full day . There are some common | |
01:40 | abbreviations for these units that you should know too . | |
01:43 | D for days . H four hours , men for | |
01:47 | minutes and s for seconds . One of the earliest | |
01:51 | devices for measuring time was called a sun dial . | |
01:54 | It was basically a flat disk with a triangular pointer | |
01:57 | in the middle As the earth rotated , the shadow | |
02:00 | of the pointer would slowly change position and pointed different | |
02:03 | markings on the edge of the circle , which represented | |
02:05 | different times of the day . Are you tired of | |
02:08 | the man telling you what time it is ? Now | |
02:10 | ? You can get the time directly from the source | |
02:13 | with the Sun O Matic 3000 . Just put it | |
02:15 | in your yard and let the sun do the rest | |
02:18 | for daytime use only not for use in cloudy conditions | |
02:21 | . Times may not be accurate , depending on latitude | |
02:24 | , some calibration required . The sun dial was a | |
02:27 | really cool invention , but it had a lot of | |
02:29 | limitations . Fortunately , there are much better modern devices | |
02:33 | for keeping track of time . In fact , you | |
02:35 | probably have one hanging on your wall at home or | |
02:37 | in your classroom that looks something like this . This | |
02:40 | traditional clock is designed to keep track of three different | |
02:44 | units of time , seconds , minutes and hours . | |
02:48 | That's why it has three different pointers or hands . | |
02:51 | This thin red pointer is called the second hand because | |
02:54 | it helps us keep track of seconds . This thicker | |
02:57 | black pointer is called the minute hand because it helps | |
02:59 | us keep track of minutes , and the shorter black | |
03:02 | pointer is called the hour hand because it helps us | |
03:05 | keep track of ours . Oh , and the circle | |
03:07 | itself is often referred to as the clock face . | |
03:11 | Oclock is actually kind of complicated , so to see | |
03:14 | how it works , let's start with the version that | |
03:16 | has everything removed except for the second hand and the | |
03:19 | 60 marks around the edge of the clock face . | |
03:21 | Why are there 60 marks around the edge you'll see | |
03:24 | in just a minute , starting with the second hand | |
03:27 | , pointing straight up at the top of the clock | |
03:29 | face . If the hand rotates to the right so | |
03:32 | that it's pointing at the next mark , that means | |
03:34 | that one second of time has passed . So we'll | |
03:37 | label that mark one . The next mark will be | |
03:39 | to the next three and so on until we get | |
03:42 | all the way around and the hand is pointing straight | |
03:45 | up again . That means exactly 60 seconds have passed | |
03:49 | . So label that mark with a 60 . But | |
03:51 | we could have labeled that top mark as a zero | |
03:54 | , since that's where the sequence of numbers starts . | |
03:56 | That's one of the cool things about o'clock being a | |
03:58 | circle . The starting point is also the ending point | |
04:01 | . So as soon as you hit the end 60 | |
04:04 | seconds , you're also back at the beginning zero seconds | |
04:08 | . The reason that there's exactly 60 marks around the | |
04:10 | edge of a clock is that 60 seconds equals one | |
04:13 | minute . That means when the second hand makes one | |
04:16 | full rotation around the clock face , exactly one minute | |
04:20 | of time has passed , and if it makes two | |
04:22 | full rotations , two minutes of pest and if it | |
04:25 | makes three rotations , three minutes of pest and so | |
04:28 | on . So even though the second hand is counting | |
04:31 | seconds , it also helps us know how many minutes | |
04:33 | have passed . But how are we going to keep | |
04:35 | track of those minutes ? Well , that's where the | |
04:37 | minute hand comes in handy , so let's add it | |
04:40 | back to our simple clock . The minute hand works | |
04:43 | a lot like the second hand . The main difference | |
04:45 | is that it travels slower 60 times slower to be | |
04:48 | exact , since a minute is 60 times longer than | |
04:52 | a second . While the secondhand travels all the way | |
04:55 | around the clock , the minute hand only moves from | |
04:58 | one mark to the next . For example , if | |
05:01 | both hands start straight up at the top of the | |
05:04 | clock , while the secondhand travels all the way around | |
05:07 | the clock , counting out 60 seconds as it goes | |
05:10 | , the minute hand will only travel from 0 to | |
05:13 | 1 , because only one minute has passed . Then | |
05:16 | , while the secondhand travels around the clock is second | |
05:19 | time , the minute hand will travel from 1 to | |
05:22 | 2 because two minutes have passed notice that we use | |
05:25 | the exact same set of 60 marks to measure both | |
05:28 | seconds and minutes . But the different hands tell you | |
05:32 | how to interpret those marks . If the second hand | |
05:34 | is pointing at the fifth mark , it means five | |
05:37 | seconds . But if the minute hand is pointing at | |
05:39 | the fifth mark , it means five minutes . Of | |
05:42 | course , being able to quickly tell which market hand | |
05:44 | is pointing at is tricky , since clocks don't usually | |
05:48 | number every mark . So to make it easier , | |
05:50 | the inventors of the clock decided to make every fifth | |
05:53 | mark bigger or bolder , so you could skip count | |
05:56 | by fives , which helps you quickly tell where the | |
05:58 | hands are pointing . For example , if the second | |
06:01 | hand is pointing right here , you can tell right | |
06:04 | away that it's just two marks passed the 15th mark | |
06:07 | . So it's pointing at 17 seconds since 15 plus | |
06:10 | two equals 17 . And if the minute hand is | |
06:13 | pointing here , you'll quickly see that it's just two | |
06:16 | marks before the 40th mark . So it's pointing to | |
06:19 | 38 minutes since 40 minus two equals 38 . These | |
06:23 | bigger marks are so helpful for reading a clock that | |
06:26 | you should memorize the values they represent when the minute | |
06:29 | or second hands are pointing at , especially the ones | |
06:32 | that break the clock face up into quarters . Okay | |
06:36 | , so now you know how the second and minute | |
06:38 | hands work . When the second hand goes all the | |
06:40 | way around , the minute hand increases by one . | |
06:43 | But what happens when the minute hand eventually goes all | |
06:46 | the way around and has counted out 60 minutes ? | |
06:49 | If you paid close attention at the beginning of the | |
06:51 | video , you probably know the answer . 60 minutes | |
06:55 | equals one hour . So when the minute hand goes | |
06:57 | all the way around , it means one hour of | |
07:00 | time has passed . That means we're going to need | |
07:02 | to add the hour hand back to our clock to | |
07:04 | keep track of ours . But the hour hand doesn't | |
07:07 | use the 60 marks on the edge of the clock | |
07:09 | in the same way that the other hands do . | |
07:11 | Why not ? Because there aren't 60 hours in a | |
07:14 | day . There's only 24 . If the hour hand | |
07:16 | just moved one mark for each hour , it wouldn't | |
07:19 | make it all the way around the clock face in | |
07:21 | a single day . Ideally , it would be nice | |
07:23 | if we could have the hour hand go around the | |
07:25 | clock once per day . But unfortunately , the 60 | |
07:29 | marks on the clock don't divide evenly by 24 . | |
07:32 | That means you can't find a nice hole . Number | |
07:35 | two . Skip count to 24 by , for example | |
07:38 | , if you had the hour hand move to marks | |
07:40 | for each hour , it's still want to go far | |
07:42 | enough to make it all the way around the clock | |
07:44 | in a day . And if you had it moved | |
07:46 | three marks for each hour , it would go too | |
07:48 | far . Fortunately , the inventors of the clock came | |
07:51 | up with a clever compromise . They realized that even | |
07:54 | though 24 hours doesn't divide evenly into 60 half of | |
07:58 | a day , which is 12 hours , does 60 | |
08:02 | divided by 12 equals five and five is a nice | |
08:05 | hole . Number two skip count by in fact , | |
08:07 | we already have bigger marks on our clock face every | |
08:10 | five marks , which makes this idea really convenient If | |
08:14 | the hour and minute hands start pointing straight up as | |
08:17 | the minute hand goes all the way around the clock | |
08:19 | , counting out 60 minutes , the hour hand will | |
08:22 | slowly move past the first five marks , which means | |
08:25 | one hour has passed then , as the minute hand | |
08:28 | goes all the way around again . The hour hand | |
08:31 | will move past the next five marks , which means | |
08:33 | that two hours will have passed . This continues on | |
08:36 | until the hour hand makes it all the way around | |
08:38 | the clock and gets to the 12 hour mark back | |
08:40 | at the top , just like with minutes and seconds | |
08:43 | . The top position on the clock represents both the | |
08:46 | beginning and the end of the counting sequence for minutes | |
08:49 | and seconds . That means the top position represents both | |
08:52 | 60 and zero before the hour hand . That top | |
08:55 | spot represents both 12 and zero . Of course , | |
08:59 | 12 hours is only half the day . That means | |
09:01 | in order for this clock to keep track of one | |
09:03 | whole day , the hour hand needs to make to | |
09:06 | full trips around the clock face . It counts out | |
09:09 | 12 hours the first half and then 12 more for | |
09:12 | the second half . That means that each hour mark | |
09:14 | is passed twice during the day , so we need | |
09:16 | a way to distinguish them . And that's where I | |
09:19 | am and PM can help us out . AM stands | |
09:22 | for Anti Meridian , which just means before Noon and | |
09:26 | PM stands for post Meridian , which just means afternoon | |
09:30 | to see how the AM and PM labels work with | |
09:32 | the 12 hours on our clock face to keep track | |
09:35 | of a full day . Let's compare them to a | |
09:37 | simpler modern timekeeping system called the 24 hour clock Mhm | |
09:41 | . In that system , the 24 hours of the | |
09:43 | day are just labeled zero through 23 . In other | |
09:47 | words , at the beginning of the day , which | |
09:49 | happens to be midnight , the time is zero hours | |
09:52 | and zero minutes . As the hours passed by , | |
09:55 | you eventually get to the time 23 hours and zero | |
09:58 | minutes , which means you're starting the 24th hour of | |
10:00 | the day . After that last hour passes , it | |
10:03 | starts back over at zero for the next day on | |
10:06 | the traditional clock face at midnight , the hour hand | |
10:09 | is pointing straight up at 12 . So instead of | |
10:12 | calling at zero o'clock , we call it 12 midnight | |
10:15 | or 12 a.m. Then the 1st 12 hours of the | |
10:18 | day pass one by one , using the A M | |
10:20 | label , 1 a.m. Two a . M . 3 | |
10:23 | a.m. on up to 11 a.m. When the hour hand | |
10:27 | gets to 11 a.m. you're beginning the 12th hour of | |
10:29 | the day , and as soon as the 60 minutes | |
10:32 | of that , our passed by the hour hand will | |
10:34 | be back up at the top of the clock , | |
10:36 | pointing at 12 again . But this time we're going | |
10:38 | to call that position 12 noon or 12 PM Then | |
10:42 | the clock continues on counting out the last 12 hours | |
10:45 | of the day using the PM label . One PM | |
10:48 | two PM three PM on up to 11 p.m. When | |
10:52 | the hour hand gets to 11 p.m. It means you're | |
10:54 | starting the last or 24th hour of the day . | |
10:57 | After that . Last hour passes the hour hand points | |
11:00 | straight up at 12 again , which is now 12 | |
11:02 | midnight or 12 a.m. and the cycle starts all over | |
11:06 | for the next day . Let's briefly summarize what we've | |
11:09 | learned about the clock so far before moving on to | |
11:11 | a few examples of telling time . Each time the | |
11:15 | second hand rotates all the way around the clock , | |
11:17 | one minute has passed and the minute hand advances one | |
11:20 | mark each time the minute hand goes all the way | |
11:23 | around the clock , one hour has passed and the | |
11:25 | hour hand advances five marks each time the hour hand | |
11:29 | goes around the clock , 12 hours have passed , | |
11:31 | which is half a day . The 1st 12 hours | |
11:34 | are called the A M hours , and the 2nd | |
11:36 | 12 hours are called the P M hours . If | |
11:39 | this is your first time learning how Oclock works , | |
11:41 | it might seem kind of confusing . But don't worry | |
11:45 | . The more you practice looking at a clock and | |
11:47 | noticing which hands are pointing to , which marks the | |
11:49 | faster you'll be able to tell what time it is | |
11:51 | . In fact , let's practice that a few times | |
11:54 | now so you can get the hang of it before | |
11:55 | doing more practice on your own . Let's start with | |
11:58 | this clock face . What time of day is it | |
12:00 | displaying ? The hour hand is past the seven , | |
12:03 | but not to eight yet , so the hour is | |
12:05 | seven . The minute hand is pointing directly at the | |
12:08 | three , but remember , that's the third group of | |
12:11 | five marks for counting minutes or seconds . So it's | |
12:13 | pointing at the 15 minute mark , and the second | |
12:16 | hand is pointing straight up , which is the zero | |
12:18 | second mark . So the time is seven hours , | |
12:21 | 15 minutes and zero seconds . Oh , and that's | |
12:25 | how you write time . Using numbers . You write | |
12:27 | the hours first , then minutes and then seconds if | |
12:29 | necessary , all separated by colons . What is this | |
12:33 | ? 7:15 a.m. or P M . To tell that | |
12:36 | you need to know if it's before noon or afternoon | |
12:39 | . The halfway point of the day Books or tests | |
12:41 | sometimes give you a clue about whether the time is | |
12:44 | before noon or afternoon so you can figure it out | |
12:46 | . Or they may just tell you if it's a | |
12:48 | M or P . M , in this case , | |
12:50 | were given the clue . Soon the sun will set | |
12:53 | , so we know it's afternoon or 7 15 PM | |
12:57 | How about this example ? What time is this clock | |
13:00 | displaying the hour hand is passed the 10 , but | |
13:03 | not to 11 yet , so the hour is 10 | |
13:06 | . The minute hand is just past the fourth , | |
13:08 | which is the 20 minute mark , but it's not | |
13:10 | too 21 yet , so the minute is 20 and | |
13:13 | the second hand is pointing at the nine , which | |
13:15 | is the 45 2nd mark . So the time is | |
13:18 | 10 hours , 20 minutes and 45 seconds , and | |
13:21 | this time you're given the clue . It's a beautiful | |
13:24 | morning . So you know that it's 10:20 a.m. Since | |
13:27 | morning comes before noon . And finally , what time | |
13:30 | of day is this clock display ? The hour hand | |
13:32 | has passed the 12 , but not yet to the | |
13:34 | one . So it's 12 something . The minute hand | |
13:37 | is pointing just a hair past the six , which | |
13:40 | is the 30 minute mark . So the minute is | |
13:42 | 30 and there's no second hand on this clock . | |
13:44 | Not all clocks had them , so we're only concerned | |
13:47 | about the time to the nearest minute . In this | |
13:49 | example . Lastly , this clock faces actually labeled a | |
13:53 | m . So we know that the time of day | |
13:55 | is 12:30 a.m. which is 30 minutes past midnight . | |
13:59 | All right , so now you know how seconds , | |
14:01 | minutes , hours and days all relate to each other | |
14:05 | . You also know how a traditional clock works to | |
14:07 | help you keep track of these units of time as | |
14:09 | they pass . By and importantly , you've learned how | |
14:13 | to read the hands of the clock face so that | |
14:15 | you can tell what time of day it is . | |
14:16 | Remember that the way to get good at anything in | |
14:19 | math is to practice , So be sure to practice | |
14:21 | telling time on your own as always . Thanks for | |
14:24 | watching math antics , and I'll see you next time | |
14:27 | . Learn more at math antics dot com . |
Summarizer
DESCRIPTION:
Learn More at mathantics.com Visit http://www.mathantics.comâ for more Free math videos and additional subscription based content!
OVERVIEW:
Math Antics - Telling Time is a free educational video by Lumos Learning.
This page not only allows students and teachers view Math Antics - Telling Time videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.