[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:01.16,0:00:04.73,Default,,0000,0000,0000,,Welcome to the presentation\Non basic addition. Dialogue: 0,0:00:04.73,0:00:06.81,Default,,0000,0000,0000,,I know what you're thinking,\NSal, addition doesn't Dialogue: 0,0:00:06.81,0:00:08.26,Default,,0000,0000,0000,,seem so basic to me. Dialogue: 0,0:00:08.26,0:00:10.94,Default,,0000,0000,0000,,Well, I apologize. Dialogue: 0,0:00:10.94,0:00:13.17,Default,,0000,0000,0000,,Hopefully by the end of this\Npresentation or in a couple Dialogue: 0,0:00:13.17,0:00:14.84,Default,,0000,0000,0000,,of weeks it will seem basic. Dialogue: 0,0:00:14.84,0:00:16.99,Default,,0000,0000,0000,,So let's get started\Nwith, I guess we could Dialogue: 0,0:00:16.99,0:00:18.39,Default,,0000,0000,0000,,say, some problems. Dialogue: 0,0:00:18.39,0:00:23.10,Default,,0000,0000,0000,,Well let's say I start\Nwith an old classic. Dialogue: 0,0:00:23.10,0:00:25.95,Default,,0000,0000,0000,,1 plus 1. Dialogue: 0,0:00:25.95,0:00:29.44,Default,,0000,0000,0000,,And I think you already know\Nhow to do this, but I'll kind Dialogue: 0,0:00:29.44,0:00:31.96,Default,,0000,0000,0000,,of show you a way of doing this\Nin case you don't have this Dialogue: 0,0:00:31.96,0:00:35.05,Default,,0000,0000,0000,,memorized or you haven't\Nalready mastered this. Dialogue: 0,0:00:35.05,0:00:40.93,Default,,0000,0000,0000,,You say, well, if I have 1,\Nlet's call that an avocado. Dialogue: 0,0:00:40.93,0:00:45.03,Default,,0000,0000,0000,,If I have 1 avocado and\Nthen you were to give me Dialogue: 0,0:00:45.03,0:00:48.87,Default,,0000,0000,0000,,another avocado, how many\Navocados do I now have? Dialogue: 0,0:00:48.87,0:00:49.34,Default,,0000,0000,0000,,Well, let's see. Dialogue: 0,0:00:49.34,0:00:52.30,Default,,0000,0000,0000,,I have 1, 2 avocados. Dialogue: 0,0:00:52.30,0:00:54.74,Default,,0000,0000,0000,,So 1 plus 1 is equal to 2. Dialogue: 0,0:00:54.74,0:00:55.91,Default,,0000,0000,0000,,Now, I know what\Nyou're thinking. Dialogue: 0,0:00:55.91,0:00:58.39,Default,,0000,0000,0000,,That was too easy, so let\Nme give you something a Dialogue: 0,0:00:58.39,0:01:00.41,Default,,0000,0000,0000,,little bit more difficult. Dialogue: 0,0:01:00.41,0:01:01.84,Default,,0000,0000,0000,,I like the avocados. Dialogue: 0,0:01:01.84,0:01:04.13,Default,,0000,0000,0000,,I might stick with that theme. Dialogue: 0,0:01:04.13,0:01:09.42,Default,,0000,0000,0000,,What is 3 plus 4? Dialogue: 0,0:01:09.42,0:01:11.98,Default,,0000,0000,0000,,This is, I think, a more\Ndifficult problem. Dialogue: 0,0:01:11.98,0:01:14.07,Default,,0000,0000,0000,,Well, let's stick\Nwith the avocados. Dialogue: 0,0:01:14.07,0:01:17.71,Default,,0000,0000,0000,,And in case you don't know what\Nan avocado is, it's actually Dialogue: 0,0:01:17.71,0:01:18.89,Default,,0000,0000,0000,,a very delicious fruit. Dialogue: 0,0:01:18.89,0:01:21.21,Default,,0000,0000,0000,,It's actually the fattiest\Nof all the fruits. Dialogue: 0,0:01:21.21,0:01:22.34,Default,,0000,0000,0000,,You probably didn't even\Nthink it was a fruit, Dialogue: 0,0:01:22.34,0:01:25.47,Default,,0000,0000,0000,,even if you ate one. Dialogue: 0,0:01:25.47,0:01:32.27,Default,,0000,0000,0000,,Let's say I have 3\Navocados-- 1, 2, 3. Dialogue: 0,0:01:32.27,0:01:35.12,Default,,0000,0000,0000,,And let's say you were to\Ngive me 4 more avocados. Dialogue: 0,0:01:35.12,0:01:38.62,Default,,0000,0000,0000,,So let me put this 4 in yellow\Nso you know that these are Dialogue: 0,0:01:38.62,0:01:40.61,Default,,0000,0000,0000,,the ones you're giving me. Dialogue: 0,0:01:40.61,0:01:45.78,Default,,0000,0000,0000,,1, 2, 3, 4. Dialogue: 0,0:01:45.78,0:01:48.98,Default,,0000,0000,0000,,So how many total\Navocados do I have now? Dialogue: 0,0:01:48.98,0:01:55.79,Default,,0000,0000,0000,,That's 1, 2, 3, 4,\N5, 6, 7 avocados. Dialogue: 0,0:01:55.79,0:01:59.00,Default,,0000,0000,0000,,So 3 plus 4 is equal to 7. Dialogue: 0,0:01:59.00,0:02:00.29,Default,,0000,0000,0000,,And now I'm going to introduce\Nyou to another way of Dialogue: 0,0:02:00.29,0:02:01.07,Default,,0000,0000,0000,,thinking about this. Dialogue: 0,0:02:01.07,0:02:02.18,Default,,0000,0000,0000,,It's called the number line. Dialogue: 0,0:02:02.18,0:02:05.49,Default,,0000,0000,0000,,And actually, I think this is\Nhow I do it in my head when I Dialogue: 0,0:02:05.49,0:02:08.92,Default,,0000,0000,0000,,forget-- if I don't\Nhave it memorized. Dialogue: 0,0:02:08.92,0:02:11.45,Default,,0000,0000,0000,,So number line, I just write\Nall the numbers in order. Dialogue: 0,0:02:11.45,0:02:13.85,Default,,0000,0000,0000,,And I go high enough just\Nso all the numbers I'm Dialogue: 0,0:02:13.85,0:02:15.47,Default,,0000,0000,0000,,using are kind of in it. Dialogue: 0,0:02:15.47,0:02:18.00,Default,,0000,0000,0000,,So you know the first number\Nis 0, which is nothing. Dialogue: 0,0:02:18.00,0:02:20.02,Default,,0000,0000,0000,,Maybe you don't know,\Nbut now you know. Dialogue: 0,0:02:20.02,0:02:36.25,Default,,0000,0000,0000,,And then you go to 1, 2,\N3, 4, 5, 6, 7, 8, 9, 10. Dialogue: 0,0:02:36.25,0:02:37.60,Default,,0000,0000,0000,,Keeps going-- 11. Dialogue: 0,0:02:37.60,0:02:39.36,Default,,0000,0000,0000,,So we're saying 3 plus 4. Dialogue: 0,0:02:39.36,0:02:41.74,Default,,0000,0000,0000,,So let's start at 3. Dialogue: 0,0:02:41.74,0:02:45.50,Default,,0000,0000,0000,,So I have 3 here and we're\Ngoing to add 4 to that 3. Dialogue: 0,0:02:45.50,0:02:48.43,Default,,0000,0000,0000,,So all we do is we go up the\Nnumber line, or we go to the Dialogue: 0,0:02:48.43,0:02:50.85,Default,,0000,0000,0000,,right on the number\Nline, 4 more. Dialogue: 0,0:02:50.85,0:02:59.13,Default,,0000,0000,0000,,So we go 1, 2, 3, 4. Dialogue: 0,0:02:59.13,0:03:01.36,Default,,0000,0000,0000,,Notice all we did is we just\Nincreased it by one, by Dialogue: 0,0:03:01.36,0:03:02.61,Default,,0000,0000,0000,,two, by three, by four. Dialogue: 0,0:03:02.61,0:03:04.09,Default,,0000,0000,0000,,And then we ended up at 7. Dialogue: 0,0:03:04.09,0:03:06.03,Default,,0000,0000,0000,,And that was our answer. Dialogue: 0,0:03:06.03,0:03:07.18,Default,,0000,0000,0000,,We can do a couple\Nof different ones. Dialogue: 0,0:03:09.69,0:03:14.03,Default,,0000,0000,0000,,What if I asked you\Nwhat 8 plus 1 is? Dialogue: 0,0:03:14.03,0:03:14.96,Default,,0000,0000,0000,,Well, you might\Nalready know it. Dialogue: 0,0:03:14.96,0:03:16.39,Default,,0000,0000,0000,,You know, plus 1 is\Njust the next number. Dialogue: 0,0:03:16.39,0:03:18.22,Default,,0000,0000,0000,,But if we look at the\Nnumber line you start Dialogue: 0,0:03:18.22,0:03:22.50,Default,,0000,0000,0000,,at 8 and you add 1. Dialogue: 0,0:03:22.50,0:03:26.34,Default,,0000,0000,0000,,8 plus 1 is equal to 9. Dialogue: 0,0:03:26.34,0:03:27.44,Default,,0000,0000,0000,,Let's do some harder problems. Dialogue: 0,0:03:30.37,0:03:32.83,Default,,0000,0000,0000,,And just so you know, if you're\Na little daunted by this Dialogue: 0,0:03:32.83,0:03:34.55,Default,,0000,0000,0000,,initially, you can always\Ndraw the circles. Dialogue: 0,0:03:34.55,0:03:36.06,Default,,0000,0000,0000,,You can always do\Nthe number line. Dialogue: 0,0:03:36.06,0:03:39.67,Default,,0000,0000,0000,,And eventually, over time, the\Nmore practice you do-- you'll Dialogue: 0,0:03:39.67,0:03:41.33,Default,,0000,0000,0000,,hopefully memorize these and\Nyou'll do these problems Dialogue: 0,0:03:41.33,0:03:42.44,Default,,0000,0000,0000,,in like half a second. Dialogue: 0,0:03:42.44,0:03:43.24,Default,,0000,0000,0000,,I promise you. Dialogue: 0,0:03:43.24,0:03:46.25,Default,,0000,0000,0000,,You just got to\Nkeep practicing. Dialogue: 0,0:03:46.25,0:03:48.38,Default,,0000,0000,0000,,I want to draw the number line\Nagain, actually, I have a line Dialogue: 0,0:03:48.38,0:03:50.74,Default,,0000,0000,0000,,tool, so I should give you\Nall those ugly looking lines Dialogue: 0,0:03:50.74,0:03:52.26,Default,,0000,0000,0000,,that I've been giving you. Dialogue: 0,0:03:52.26,0:03:52.84,Default,,0000,0000,0000,,Look at that. Dialogue: 0,0:03:52.84,0:03:54.66,Default,,0000,0000,0000,,That's amazing. Dialogue: 0,0:03:54.66,0:03:56.81,Default,,0000,0000,0000,,Let me see. Dialogue: 0,0:03:56.81,0:04:00.23,Default,,0000,0000,0000,,Look at that. Dialogue: 0,0:04:00.23,0:04:01.49,Default,,0000,0000,0000,,That's a nice looking line. Dialogue: 0,0:04:01.49,0:04:04.65,Default,,0000,0000,0000,,I'm going to feel bad\Nto erase it later on. Dialogue: 0,0:04:04.65,0:04:06.92,Default,,0000,0000,0000,,So let me draw a number line. Dialogue: 0,0:04:06.92,0:04:28.59,Default,,0000,0000,0000,,0, 1, 2, 3, 4, 5, 6, 7, 8,\N9, 10, 11, 12, 13, 14, 15. Dialogue: 0,0:04:28.59,0:04:30.06,Default,,0000,0000,0000,,So let's do a hard problem. Dialogue: 0,0:04:33.18,0:04:35.29,Default,,0000,0000,0000,,I'm going to do it in\Ndifferent colors now. Dialogue: 0,0:04:35.29,0:04:38.55,Default,,0000,0000,0000,,5 plus 6. Dialogue: 0,0:04:38.55,0:04:40.69,Default,,0000,0000,0000,,So if you want, you could\Npause the video and try this. Dialogue: 0,0:04:40.69,0:04:42.72,Default,,0000,0000,0000,,You might already\Nknow the answer. Dialogue: 0,0:04:42.72,0:04:45.14,Default,,0000,0000,0000,,And the reason why I say this\Nis a hard problem is because Dialogue: 0,0:04:45.14,0:04:48.66,Default,,0000,0000,0000,,the answer has more numbers\Nthan figures, so you can't Dialogue: 0,0:04:48.66,0:04:50.77,Default,,0000,0000,0000,,necessarily do it\Non your fingers. Dialogue: 0,0:04:50.77,0:04:53.98,Default,,0000,0000,0000,,So let's get started\Nwith this problem. Dialogue: 0,0:04:53.98,0:04:55.78,Default,,0000,0000,0000,,Actually, my phone is ringing,\Nbut I'm going to ignore the Dialogue: 0,0:04:55.78,0:04:58.90,Default,,0000,0000,0000,,phone because you're\Nmore important. Dialogue: 0,0:04:58.90,0:05:00.98,Default,,0000,0000,0000,,OK, let's start at the 5. Dialogue: 0,0:05:00.98,0:05:05.40,Default,,0000,0000,0000,,So we start at the 5 and\Nwe're going to add 6 to it. Dialogue: 0,0:05:05.40,0:05:13.98,Default,,0000,0000,0000,,So we go 1, 2, 3, 4, 5, 6. Dialogue: 0,0:05:13.98,0:05:16.64,Default,,0000,0000,0000,,And we're at 11. Dialogue: 0,0:05:16.64,0:05:19.67,Default,,0000,0000,0000,,So 5 plus 6 is equal to 11. Dialogue: 0,0:05:19.67,0:05:22.48,Default,,0000,0000,0000,,Now I'm going to ask you a\Nquestion, what is 6 plus 5? Dialogue: 0,0:05:26.69,0:05:28.54,Default,,0000,0000,0000,,Well, we're now\Ngoing to see that. Dialogue: 0,0:05:28.54,0:05:30.89,Default,,0000,0000,0000,,Can you switch the two numbers\Nand get the same answer? Dialogue: 0,0:05:30.89,0:05:32.26,Default,,0000,0000,0000,,Well, let's try that. Dialogue: 0,0:05:32.26,0:05:33.60,Default,,0000,0000,0000,,And I'm going to try it in\Na different color so we Dialogue: 0,0:05:33.60,0:05:34.52,Default,,0000,0000,0000,,don't get all confused. Dialogue: 0,0:05:34.52,0:05:36.93,Default,,0000,0000,0000,,So let's start at 6. Dialogue: 0,0:05:36.93,0:05:39.88,Default,,0000,0000,0000,,Ignore the yellow for\Nnow and add 5 to it. Dialogue: 0,0:05:39.88,0:05:45.04,Default,,0000,0000,0000,,1, 2, 3, 4, 5. Dialogue: 0,0:05:45.04,0:05:47.04,Default,,0000,0000,0000,,We get to the same place. Dialogue: 0,0:05:47.04,0:05:48.84,Default,,0000,0000,0000,,And I think you might want\Nto try this on a bunch of Dialogue: 0,0:05:48.84,0:05:50.60,Default,,0000,0000,0000,,problems and you'll see\Nit always works out. Dialogue: 0,0:05:50.60,0:05:53.90,Default,,0000,0000,0000,,That it doesn't matter what\Norder-- 5 plus 6 is the Dialogue: 0,0:05:53.90,0:05:55.91,Default,,0000,0000,0000,,same thing as 6 plus 5. Dialogue: 0,0:05:55.91,0:05:56.67,Default,,0000,0000,0000,,And that makes sense. Dialogue: 0,0:05:56.67,0:05:58.96,Default,,0000,0000,0000,,If I have 5 avocados\Nand you give me 6, Dialogue: 0,0:05:58.96,0:05:59.74,Default,,0000,0000,0000,,I'm going to have 11. Dialogue: 0,0:05:59.74,0:06:01.84,Default,,0000,0000,0000,,If I have 6 avocados and\Nyou gave me 5, I'm going Dialogue: 0,0:06:01.84,0:06:05.35,Default,,0000,0000,0000,,to have 11 either way. Dialogue: 0,0:06:05.35,0:06:07.19,Default,,0000,0000,0000,,Since this number line is so\Nnice, I want to do a few Dialogue: 0,0:06:07.19,0:06:08.17,Default,,0000,0000,0000,,more problems using it. Dialogue: 0,0:06:08.17,0:06:10.72,Default,,0000,0000,0000,,Although as I use it I'm sure\NI'll just continue to confuse Dialogue: 0,0:06:10.72,0:06:12.46,Default,,0000,0000,0000,,you because I'll write\Nso much on top of it. Dialogue: 0,0:06:12.46,0:06:14.29,Default,,0000,0000,0000,,But let's see. Dialogue: 0,0:06:14.29,0:06:17.25,Default,,0000,0000,0000,,I'll use white now. Dialogue: 0,0:06:17.25,0:06:22.32,Default,,0000,0000,0000,,What is 8 plus 7? Dialogue: 0,0:06:22.32,0:06:26.83,Default,,0000,0000,0000,,Well, if you can still read\Nthis, 8 is right here. Dialogue: 0,0:06:26.83,0:06:28.82,Default,,0000,0000,0000,,We're going to add 7 to it. Dialogue: 0,0:06:28.82,0:06:36.91,Default,,0000,0000,0000,,1, 2, 3, 4, 5, 6, 7. Dialogue: 0,0:06:36.91,0:06:38.11,Default,,0000,0000,0000,,We go to 15. Dialogue: 0,0:06:38.11,0:06:39.39,Default,,0000,0000,0000,,8 plus 7 is 15. Dialogue: 0,0:06:42.45,0:06:45.55,Default,,0000,0000,0000,,So hopefully that gives\Nyou a sense of how to do Dialogue: 0,0:06:45.55,0:06:48.20,Default,,0000,0000,0000,,these types of problems. Dialogue: 0,0:06:48.20,0:06:50.57,Default,,0000,0000,0000,,I guess this and you're going\Nto learn multiplication in a Dialogue: 0,0:06:50.57,0:06:53.88,Default,,0000,0000,0000,,little bit, but these types of\Nproblems are-- when you're Dialogue: 0,0:06:53.88,0:06:55.83,Default,,0000,0000,0000,,getting started off in\Nmathematics, these kind of Dialogue: 0,0:06:55.83,0:06:58.39,Default,,0000,0000,0000,,require the most practice and\Nto some degree, you have to Dialogue: 0,0:06:58.39,0:06:59.43,Default,,0000,0000,0000,,start memorizing them. Dialogue: 0,0:06:59.43,0:07:03.15,Default,,0000,0000,0000,,But over time, when you look\Nback, I want you to remember Dialogue: 0,0:07:03.15,0:07:05.65,Default,,0000,0000,0000,,how you feel while you're\Nwatching this video right now. Dialogue: 0,0:07:05.65,0:07:09.78,Default,,0000,0000,0000,,And then I want you to watch\Nthis video in like 3 years and Dialogue: 0,0:07:09.78,0:07:11.93,Default,,0000,0000,0000,,remember how you felt when\Nyou're watching it now. Dialogue: 0,0:07:11.93,0:07:13.34,Default,,0000,0000,0000,,And you're going\Nto be, oh my God. Dialogue: 0,0:07:13.34,0:07:16.08,Default,,0000,0000,0000,,This was so easy because you're\Ngoing to learn it so fast. Dialogue: 0,0:07:16.08,0:07:19.94,Default,,0000,0000,0000,,So anyway, I think\Nyou have an idea. Dialogue: 0,0:07:19.94,0:07:22.50,Default,,0000,0000,0000,,If you don't know the answer to\Nany of the additional problems Dialogue: 0,0:07:22.50,0:07:25.74,Default,,0000,0000,0000,,that we give in the exercises\Nyou can press the hints and Dialogue: 0,0:07:25.74,0:07:28.56,Default,,0000,0000,0000,,it'll draw circles and you can\Njust count up the circles. Dialogue: 0,0:07:28.56,0:07:30.02,Default,,0000,0000,0000,,Or if you want to do it\Non your own so you get Dialogue: 0,0:07:30.02,0:07:32.26,Default,,0000,0000,0000,,the problem right, you\Ncould draw the circles. Dialogue: 0,0:07:32.26,0:07:34.37,Default,,0000,0000,0000,,Or you could draw a number\Nline like we did in Dialogue: 0,0:07:34.37,0:07:36.71,Default,,0000,0000,0000,,this presentation. Dialogue: 0,0:07:36.71,0:07:40.33,Default,,0000,0000,0000,,I think you might be ready to\Ntackle the addition problems. Dialogue: 0,0:07:40.33,0:07:41.87,Default,,0000,0000,0000,,Have fun.