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Welcome to the presentation[br]on basic addition.

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I know what you're thinking,[br]Sal, addition doesn't

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seem so basic to me.

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Well, I apologize.

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Hopefully by the end of this[br]presentation or in a couple

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of weeks it will seem basic.

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So let's get started[br]with, I guess we could

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say, some problems.

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Well let's say I start[br]with an old classic.

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1 plus 1.

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And I think you already know[br]how to do this, but I'll kind

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of show you a way of doing this[br]in case you don't have this

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memorized or you haven't[br]already mastered this.

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You say, well, if I have 1,[br]let's call that an avocado.

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If I have 1 avocado and[br]then you were to give me

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another avocado, how many[br]avocados do I now have?

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Well, let's see.

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I have 1, 2 avocados.

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So 1 plus 1 is equal to 2.

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Now, I know what[br]you're thinking.

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That was too easy, so let[br]me give you something a

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little bit more difficult.

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I like the avocados.

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I might stick with that theme.

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What is 3 plus 4?

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This is, I think, a more[br]difficult problem.

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Well, let's stick[br]with the avocados.

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And in case you don't know what[br]an avocado is, it's actually

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a very delicious fruit.

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It's actually the fattiest[br]of all the fruits.

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You probably didn't even[br]think it was a fruit,

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even if you ate one.

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Let's say I have 3[br]avocados-- 1, 2, 3.

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And let's say you were to[br]give me 4 more avocados.

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So let me put this 4 in yellow[br]so you know that these are

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the ones you're giving me.

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1, 2, 3, 4.

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So how many total[br]avocados do I have now?

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That's 1, 2, 3, 4,[br]5, 6, 7 avocados.

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So 3 plus 4 is equal to 7.

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And now I'm going to introduce[br]you to another way of

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thinking about this.

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It's called the number line.

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And actually, I think this is[br]how I do it in my head when I

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forget-- if I don't[br]have it memorized.

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So number line, I just write[br]all the numbers in order.

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And I go high enough just[br]so all the numbers I'm

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using are kind of in it.

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So you know the first number[br]is 0, which is nothing.

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Maybe you don't know,[br]but now you know.

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And then you go to 1, 2,[br]3, 4, 5, 6, 7, 8, 9, 10.

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Keeps going-- 11.

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So we're saying 3 plus 4.

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So let's start at 3.

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So I have 3 here and we're[br]going to add 4 to that 3.

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So all we do is we go up the[br]number line, or we go to the

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right on the number[br]line, 4 more.

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So we go 1, 2, 3, 4.

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Notice all we did is we just[br]increased it by one, by

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two, by three, by four.

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And then we ended up at 7.

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And that was our answer.

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We can do a couple[br]of different ones.

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What if I asked you[br]what 8 plus 1 is?

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Well, you might[br]already know it.

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You know, plus 1 is[br]just the next number.

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But if we look at the[br]number line you start

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at 8 and you add 1.

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8 plus 1 is equal to 9.

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Let's do some harder problems.

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And just so you know, if you're[br]a little daunted by this

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initially, you can always[br]draw the circles.

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You can always do[br]the number line.

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And eventually, over time, the[br]more practice you do-- you'll

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hopefully memorize these and[br]you'll do these problems

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in like half a second.

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I promise you.

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You just got to[br]keep practicing.

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I want to draw the number line[br]again, actually, I have a line

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tool, so I should give you[br]all those ugly looking lines

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that I've been giving you.

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Look at that.

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That's amazing.

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Let me see.

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Look at that.

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That's a nice looking line.

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I'm going to feel bad[br]to erase it later on.

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So let me draw a number line.

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0, 1, 2, 3, 4, 5, 6, 7, 8,[br]9, 10, 11, 12, 13, 14, 15.

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So let's do a hard problem.

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I'm going to do it in[br]different colors now.

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5 plus 6.

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So if you want, you could[br]pause the video and try this.

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You might already[br]know the answer.

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And the reason why I say this[br]is a hard problem is because

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the answer has more numbers[br]than figures, so you can't

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necessarily do it[br]on your fingers.

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So let's get started[br]with this problem.

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Actually, my phone is ringing,[br]but I'm going to ignore the

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phone because you're[br]more important.

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OK, let's start at the 5.

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So we start at the 5 and[br]we're going to add 6 to it.

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So we go 1, 2, 3, 4, 5, 6.

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And we're at 11.

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So 5 plus 6 is equal to 11.

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Now I'm going to ask you a[br]question, what is 6 plus 5?

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Well, we're now[br]going to see that.

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Can you switch the two numbers[br]and get the same answer?

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Well, let's try that.

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And I'm going to try it in[br]a different color so we

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don't get all confused.

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So let's start at 6.

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Ignore the yellow for[br]now and add 5 to it.

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1, 2, 3, 4, 5.

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We get to the same place.

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And I think you might want[br]to try this on a bunch of

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problems and you'll see[br]it always works out.

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That it doesn't matter what[br]order-- 5 plus 6 is the

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same thing as 6 plus 5.

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And that makes sense.

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If I have 5 avocados[br]and you give me 6,

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I'm going to have 11.

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If I have 6 avocados and[br]you gave me 5, I'm going

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to have 11 either way.

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Since this number line is so[br]nice, I want to do a few

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more problems using it.

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Although as I use it I'm sure[br]I'll just continue to confuse

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you because I'll write[br]so much on top of it.

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But let's see.

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I'll use white now.

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What is 8 plus 7?

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Well, if you can still read[br]this, 8 is right here.

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We're going to add 7 to it.

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1, 2, 3, 4, 5, 6, 7.

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We go to 15.

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8 plus 7 is 15.

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So hopefully that gives[br]you a sense of how to do

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these types of problems.

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I guess this and you're going[br]to learn multiplication in a

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little bit, but these types of[br]problems are-- when you're

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getting started off in[br]mathematics, these kind of

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require the most practice and[br]to some degree, you have to

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start memorizing them.

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But over time, when you look[br]back, I want you to remember

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how you feel while you're[br]watching this video right now.

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And then I want you to watch[br]this video in like 3 years and

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remember how you felt when[br]you're watching it now.

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And you're going[br]to be, oh my God.

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This was so easy because you're[br]going to learn it so fast.

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So anyway, I think[br]you have an idea.

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If you don't know the answer to[br]any of the additional problems

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that we give in the exercises[br]you can press the hints and

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it'll draw circles and you can[br]just count up the circles.

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Or if you want to do it[br]on your own so you get

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the problem right, you[br]could draw the circles.

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Or you could draw a number[br]line like we did in

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this presentation.

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I think you might be ready to[br]tackle the addition problems.

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Have fun.