Exciting Math for Kids - Free Educational videos for Students in K-12

Exciting Math for Kids - By Homeschool Pop

Transcript


00:01	wow , are you ready ? This is exciting Math
00:09	for kids and it's gonna be a great time .
00:12	You know , math isn't boring , it's not a
00:14	time to get a little napping to to to we
00:19	are going to show you that math is fun .
00:22	First we are going to take a look at addition
00:25	. That is a great starting point . You may
00:28	have already seen our basic edition video in that video
00:33	. We learned that audition means putting numbers together .
00:36	We learned about this lady named Sally who collects golf
00:40	balls . Let's say sally starts her day off with
00:45	two golf balls . Cool . And then she finds
00:48	another golf ball . So now we get to find
00:51	out how many she has in total . She had
00:54	two and now she's got another one . How many
00:57	golf balls does she have ? This is addition to
01:01	plus one . Yeah . Can you add those up
01:06	? What's two plus one ? Uh Three . Awesome
01:12	. Thank you . Let's look at one more example
01:15	of basic edition . Before we get into the double
01:18	digit edition . Mhm Let's say later on in the
01:23	day . Sally has five golf balls . And then
01:27	she finds two more that are just sitting there just
01:30	sitting there so she can add the two golf balls
01:34	to the five that she already has . Remember addition
01:38	is putting numbers together . Five plus two equals what
01:44	? Here's a hint . You can count these golf
01:47	balls up and get the answer . Yeah 75 plus
01:53	two equals seven . You are doing a tremendous job
02:00	. These are examples of single digit edition . Mm
02:05	But what if we need to add bigger numbers ?
02:09	Mm Let's say there's this kid named Travis . Travis
02:16	. Travis collects these , what are these called ?
02:21	Uh huh marbles . Travis collects marbles . Travis had
02:29	a lot of marbles . He had 54 marbles .
02:32	But today is his birthday and someone just gave him
02:36	21 more marbles , wow . And now he wants
02:40	to know how many marbles do I have ? I
02:43	had 54 And now I have 21 more that are
02:48	in my collection . How many Marbles do I have
02:53	? That's the question that Travis has . What's 54
02:57	plus 21 . Now , here's the deal Travis ,
03:03	you could count each of the Marbles one x one
03:07	to figure out exactly how many you have now .
03:11	But that would take a long time . Look at
03:16	all of these marbles , there has to be a
03:18	better way . In fact , there is there's a
03:21	way that is super fast and super fun . We
03:28	can add 54 and 21 together by doing a fun
03:32	trick . We'll turn these big numbers that are difficult
03:35	to add on their own into smaller numbers . What
03:37	you will do is you will add the numbers to
03:40	the right right here . Which are the ones To
03:43	make it easier ? We're going to block the 10
03:45	spot for right now with this nifty blue rectangle .
03:49	Suddenly this huge big edition problem has turned into a
03:53	simple fun edition game . So we add the right
03:56	spot , the one spot together . What is four
04:00	plus one ? Mm Yes . Four plus one equals
04:05	five . So we'll write five under the four and
04:08	the one awesome job . We're halfway done already .
04:14	Next , we will add the tens together . The
04:18	10 spot is to the left . The two numbers
04:21	in the 10 spot are the five . And to
04:24	to make it easier , we're going to block the
04:26	one spot with another blue rectangle because we already added
04:31	the one spot up . What is five plus two
04:36	? Yeah . Uh five plus two equals seven .
04:40	So we will write seven under the five and the
04:44	two . So what is our answer ? What is
04:49	54 plus 21 ? Uh You can see it right
04:52	here , 75 . 54 plus 21 equals 75 .
05:02	The answer to an addition problem is called the some
05:06	our some is 75 . It's simple with double digit
05:14	edition . You add the right side the ones together
05:17	first . Let's figure out what 30 plus 12 is
05:21	first . What is zero plus two ? Yes .
05:26	Zero plus two is too So well , right up
05:29	to under the right side . The one side ,
05:33	we've almost arrived at our answer already . Then we
05:38	add the left side . The tends to get our
05:41	answer . What is one plus three , yep ,
05:46	one plus three equals four . So the some of
05:52	this edition problem is 40 to 30 plus 12 equals
05:58	42 . Let's try a different type of addition problem
06:06	. 33 plus six . This is an interesting one
06:10	because 33 is a double digit number , but the
06:13	number six is a single digit number . But we
06:16	use the same fun trick as before . First .
06:21	We add up the ones what is three plus six
06:26	? Uh three plus six equals nine . So we
06:31	write nine here under the ones Next . Let's add
06:39	up the tents . But there is only one number
06:42	in the 10 spot . So what do you get
06:44	if you add nothing to three ? Uh you get
06:49	three . So what is our some ? Yes ,
06:55	our some is 39 . How are we doing ?
07:02	Double digit edition is pretty cool , isn't it ?
07:05	Now we are going to talk about something special .
07:08	Really special special . Like seeing an outlet . A
07:14	little baby . I'm looking at you , looking at
07:16	your eyes . So kids . So cute . So
07:20	special . So what is this special thing we are
07:26	about to learn ? Well sometimes something sneaky happens .
07:31	Let's show you . Let's say we are adding 17
07:37	plus 15 . We of course start with the right
07:40	side adding up the ones first . So what is
07:44	seven plus five ? Do you know ? Seven plus
07:48	five ? Yeah seven plus five equals 12 . That's
07:53	right but there's only enough room for one digit under
07:57	the seven and the five . So what do you
08:00	do ? Well we do a super cool move called
08:06	regrouping . Regrouping . Regrouping is awesome . Remember the
08:14	some of our ones column is 12 . 7 plus
08:18	five equals 12 . So we have to regroup the
08:21	number 12 . But what does that mean ? What
08:23	does regrouping even do ? Well regrouping splits the digits
08:30	and puts them in different places . Now . That
08:32	might sound weird but we're going to show you how
08:35	it works . It's super simple and fun . Regrouping
08:42	. The number 12 is easy . All we do
08:44	is split the digits putting the two under the ones
08:48	and carrying the one with the tens up here .
08:52	That's it . Then we add up the tens .
08:57	What is one plus one plus one ? Yeah .
09:03	One plus one plus one equals three . So we
09:07	write three under the tens and now we have our
09:10	answer . 17 plus 15 equals 32 . 32 is
09:17	our some remember regrouping is only used when there is
09:27	a double digit number , but there's only space for
09:30	one digit . Like our example seven plus five equals
09:34	12 , but there wasn't enough room for both numbers
09:37	. So we keep the two under the ones and
09:39	carry the one to the tens . Hey , let's
09:45	practice by playing a game . The game is called
09:48	. Do we need to regroup ? This is probably
09:53	the most exciting double digit edition game ever hosted by
10:00	our very own Mr Whiskers . Thanks for helping us
10:04	out . Uh You're not you're not going to help
10:09	us out . Okay . Okay . Now now this
10:13	is embarrassing . Okay , fine . Okay . All
10:17	right . That's okay . That's alright . That's alright
10:20	. Okay . It's okay . All right , Well
10:25	, we are going to look at double digit edition
10:28	problems and you are going to let us know do
10:31	we need to regroup ? Here is our first problem
10:37	. 32 plus 19 . You already know the question
10:42	when we add 32 and 19 , Do we need
10:47	to regroup ? Mhm . Yes , because two plus
10:57	nine equals 11 , which is a double digit number
11:00	. Remember the first step we take is adding up
11:04	the ones , but if the sum is a double
11:06	digit number , that means we need to regroup .
11:10	Great job . Yeah . Mhm . Let's go ahead
11:16	and finish the problem . When we regroup , we
11:19	split the digits so the first one gets carried in
11:23	the second number in this case . Also the number
11:26	one stays down under the ones . Then we just
11:30	add up the tents . What is one plus three
11:33	plus one ? Mhm . Uh huh . Five So
11:39	32 plus 19 equals 51 . And yes , we
11:45	did have to regroup . Here is our 2nd 1
11:51	, 56 plus 22 . This is the question .
11:55	When we add 56 22 do we need to regroup
12:01	? Mhm . Mhm . Mhm . Mhm . No
12:08	, because six plus two equals eight and eight is
12:12	a single digit number that can fit under the ones
12:15	. Remember the first step we take is adding up
12:19	the ones . And since the sum is a single
12:21	digit number already , we do not need to regroup
12:25	. Fantastic . Mhm . Let's go ahead and finish
12:31	the problem . So when we added up the ones
12:33	our son was eight , we'll put the eight under
12:36	the ones . Then we just add up the tens
12:39	, what is five plus two ? Uh huh .
12:44	Seven . And we have our answer 56 plus 22
12:49	equals 78 . And no , we did not have
12:53	to regroup . Mhm . Mhm mm . Here is
12:59	our next 1 . 34 plus 25 . This is
13:04	the question . When we add 34 and 25 ,
13:08	do we need to regroup ? Mm hmm . The
13:18	answer is no . Because four plus five equals nine
13:23	and nine is a single digit number that can fit
13:25	under the ones . Remember the first step we take
13:28	is adding up the ones . And since the sum
13:31	is a single digit number already , we do not
13:34	need to regroup . Well done . Let's go ahead
13:40	and finish the problem just for fun . So when
13:43	we added up the ones our son was nine ,
13:45	we'll put the nine under the ones . Then we
13:48	just add up the tens , what is three plus
13:52	two ? Mhm . Uh huh . Five . And
13:56	we have our answer . 34 plus 25 equals 59
14:01	. And no . We did not have to regroup
14:07	. Mhm . This is our last one . You
14:13	have been doing great . 43 plus 37 . You
14:17	already know the question . When we add 43 and
14:20	37 . Do we need to regroup ? Mhm .
14:29	Yes . Because three plus seven equals 10 , which
14:33	is a double digit number . Remember the first step
14:36	we take is adding up the ones . But if
14:38	the sum is a double digit number , that means
14:42	we need to regroup . Wonderful . Mm . Mhm
14:48	. Let's go ahead and finish the problem . When
14:52	we regroup , we split the digits so the number
14:55	one gets carried . And the second number in this
14:57	case the number zero stays down under the ones .
15:01	Then we just add up the tents . What is
15:04	one plus four plus three ? Uh huh . Eight
15:10	. So 43 plus 37 equals 80 . And yes
15:16	, we did have to regroup . That's tremendous .
15:21	Now would be a great time to look at what
15:23	is the opposite of addition subtraction . Yeah . You
15:28	may have watched our basic subtraction video where I gave
15:32	away my hats including Hattie . It got emotional .
15:36	Okay . It just did . And in that video
15:39	we learned that subtraction is when you take numbers away
15:46	let's say I have six hats and there's no way
15:49	that I need six hats that look exactly the same
15:52	. Well , good news . Two of my friends
15:55	need hats and I decided to give two of my
15:57	hats away when you take numbers away . Remember that
16:01	is subtraction . If we were to write it out
16:04	it would look like this . 6 -2 . So
16:08	how many hats do I have now ? If I
16:11	take two away ? Mm mm Yes . The answer
16:18	is four . I have four hats . Now .
16:23	Now this is interesting . The answer to a subtraction
16:27	problem is called the difference . Can you say that
16:31	with us ? The difference ? Yeah . The answer
16:34	to a subtraction problem is called The difference . That
16:41	means in our example the difference is for so subtraction
16:50	is just taking numbers away . And the answer to
16:53	a subtraction problem is called The difference now that we
16:59	have that we want to look at bigger numbers .
17:02	Double digit numbers . Let's say we have a lot
17:08	of blueberries . For some reason they're just hanging out
17:11	on a wooden table . We need to wash them
17:13	and put them in a bowl . Let's pretend that
17:18	when we were putting them in the bowl we counted
17:20	them and found that we had 66 blueberries . That's
17:24	a lot of blueberries . You and your friends are
17:27	hungry and blueberries are super yummy . Right ? So
17:30	you and your friends eat 54 blueberries . That's right
17:35	. These are some big numbers , some double digit
17:38	numbers . To find out how many blueberries we have
17:41	left . We simply subtract 54 from 66 . Let's
17:49	look at how that's done . Like here is our
17:54	subtraction problem again , 66 minus 54 with double digit
17:59	subtraction . All we do is break this big problem
18:02	up into two little problems . First , we will
18:05	subtract the right column , the ones to make it
18:08	a little easier . We are going to cover the
18:11	tens column with this blow rectangle . Suddenly this big
18:15	subtraction problem is a really easy one . What is
18:19	six minus four , Do you know ? Yeah .
18:26	Yes . 6 -4 equals two . So we put
18:30	the number two under the ones column , the right
18:33	side . Great job . We are halfway to our
18:36	answer . Yeah . Next , we will subtract the
18:42	left column . The tents . And this time we're
18:45	going to cover up the ones column to make it
18:48	a little easier . So what is 6 -5 ?
18:53	Six minus five . Uh huh . Six minus five
18:59	equals one . We will write one under the tens
19:03	, the left column . And just like that .
19:05	We have our answer . The differences . 12 .
19:09	There are now just 12 blueberries . Mhm . All
19:15	right , let's do another one . How about 87
19:23	-53 . This should be fun . First subtract the
19:26	right side . The ones what is 7 -3 ?
19:31	Mhm . Yes . four . So , we will
19:36	write four under the ones simple . Yeah . Next
19:42	, we just subtract the left side . The Tens
19:44	. What is 8 -5 ? Yeah . Yeah .
19:50	Yes . three . So we write three under the
19:54	10s column . Yeah . And we have our answer
20:01	. The difference is 34 . Double digit subtraction is
20:08	simple . First subtract the right , the ones next
20:12	subtract the left , the tens . Then you have
20:15	your answer which is also called the difference . Now
20:22	there is something interesting that can happen when you subtract
20:26	larger numbers Here . We'll show you say we have
20:30	this subtraction problem . 20-117 . Let's follow the process
20:35	. So first we subtract the once . What is
20:38	2 -7 . Well , here's that interesting thing we
20:42	mentioned to you say I have two carrots and I
20:45	need to give seven carats away . That's a problem
20:48	. It's hard to give away more than you have
20:51	. So , what do we do ? Well ,
20:52	we do a special trick . No , not this
20:58	kind of trick , wow . He is really high
21:00	up there . No , not this kind of trick
21:04	either . All right . It's a math trick .
21:06	Okay . It's a math trick . This is the
21:08	subtraction video after all . The trick is called regrouping
21:16	. Can you say that regrouping ? Regrouping when you
21:23	are subtracting a column And the bottom number is bigger
21:27	than the top number . That means you need to
21:30	regroup just like in this example because it is hard
21:33	to take away more than you have in seven is
21:38	bigger than two . So , we need to regroup
21:42	. Right ? So how does this regrouping trick work
21:48	. It's really easy . All you do is borrow
21:51	one from the 10s column . What is 2 -1
21:57	? Yeah . one . So , this number in
22:00	the 10s column becomes a one and that one that
22:04	we borrowed from the tent . It goes to the
22:05	ones it gets placed on this too , in the
22:08	ones column . And now the ones column is 12
22:13	-7 . Now we just have to follow our subtraction
22:19	game plan . We subtract the right column . The
22:22	ones first . What is 12 -7 ? Mm hmm
22:29	. Yes . 12 minus seven equals five . So
22:32	we write the number five under the ones column .
22:35	Then of course we have to subtract the tens .
22:38	But regrouping made this super easy . What is one
22:42	minus one ? Yes . One minus one equals zero
22:48	. So our answer is simply 55 is our difference
22:55	. Remember when you are subtracting a column and the
22:58	bottom number is bigger than the top number . That
23:01	means you need to regroup . And with subtraction ,
23:05	regrouping means borrowing In double-digit subtraction . Regrouping is when
23:14	you borrow one from the 10s column . Mhm .
23:19	Let's try one more double digit subtraction problem . And
23:23	see if we need to use the special regrouping trick
23:27	43 minus 25 . This is gonna be awesome .
23:30	Remember the first thing we do is subtract the right
23:34	column the ones but uh oh five the bottom digit
23:39	Is bigger than three , the top digit . Time
23:42	to regroup . So we borrow one from the 10s
23:50	column . What is 4 -1 ? Yes three .
23:55	Then we put that one in front of the three
23:59	in the ones column , making it the number 13
24:05	. Then we just follow the process subtracting the ones
24:09	column 1st . What is 13 -5 ? What is
24:15	13 -5 , Yep It is eight . So we
24:19	will write eight under the ones column . Mhm mm
24:25	. Now it's time to subtract the tens , what
24:29	is 3 -2 ? What is three minus two ?
24:34	You got it ? Three minus two equals one .
24:37	So we put the number one under the tens column
24:41	and we have our answer . 43 minus 25 equals
24:46	18 18 is the difference . We've learned a lot
24:53	but we need to make sure we are able to
24:55	remember everything . Here's an idea . There's this guy
25:02	Mummy who doesn't know how to do double digit subtraction
25:06	. Okay Yeah so we are going to do a
25:10	double digit subtraction review by teaching mummy . It's simple
25:14	and it's fun . Mommy you'll love it . So
25:19	mummy subtraction is when you take numbers away . Sometimes
25:23	subtraction problems can have little numbers or other times subtraction
25:27	problems can have bigger numbers . Double digit numbers .
25:32	Here's how it works . Mommy first subtract the right
25:35	column . The ones next you subtract the left column
25:38	, the 10s . Then you have your answer which
25:41	is called the difference . Mhm . Sometimes the bottom
25:48	digit is bigger than the top digits in the ones
25:51	column . This is something to get excited about money
25:54	. It means you can use a special trick called
25:57	regrouping . You just borrow one from the 10s column
26:02	and move it to the ones column . Then just
26:05	follow the plan . Thanks for helping us teach mummy
26:14	. He looks happy . Cool . You know there
26:19	are so many great things about math . One of
26:21	those great things is that you get to do a
26:24	lot of amazing things with shapes . Let's take some
26:28	time to look at all of the two dimensional shapes
26:32	. Yeah we are going to investigate them one by
26:36	one . We're going to take you on a journey
26:38	to discover the two D shapes , the easy ones
26:41	and maybe some of the ones that maybe you don't
26:43	know yet . Some of the two d shapes are
26:48	super easy and you'll be like I know all of
26:51	these but then some of the other shapes are a
26:56	little more tricky and it's like I don't know if
27:00	I've learned this before . Wait . Can we all
27:07	agree that was a very weird sound And we should
27:09	just probably never we should never record that kind of
27:13	sound again . Yeah that was that was not That's
27:16	not good . Alright two D . Shaves . Let's
27:18	go back to the , okay so let's start here
27:23	. The trustee circle . We love the circle .
27:27	Right ? You've got to love circles . Circles are
27:30	cool . This is what a circle looks like here
27:36	it is your basic circle . You know this is
27:39	what a circle looks like . It looks like a
27:41	really big dot doesn't it ? Next let's look at
27:48	this shape . This shape is a triangle . A
27:52	triangle . This is very interesting . Okay here it
27:59	is . Again the triangle . The triangle . Now
28:02	triangles are easy to spot . Not just because you
28:05	can learn what this shape looks like like this .
28:08	You can actually count the sides of the shape to
28:12	discover that the shape is a triangle . So let's
28:16	count the sides together . 123 This shape has three
28:24	sides . A triangle has three sides . Mm .
28:31	Not all triangles look the exact same . Look at
28:35	this triangle , we know that this is a triangle
28:38	because of its sides . Let's count them together .
28:41	123 . There are three sides . Every triangle has
28:48	three sides . It just looks more squished than the
28:52	other triangle . But it's still a triangle . Now
28:57	here is something very interesting , very interesting . Let's
29:04	say we took the triangle and we stretched it out
29:08	. It's still a triangle right ? But if you
29:11	did the same thing to the circle , if you
29:14	stretched out that circle it actually becomes a different shape
29:18	A shape called what ? Yeah an oval and oval
29:24	. When you stretch out a circle it becomes an
29:28	oval and that's our third shape . Here it is
29:34	again , an oval . An oval . An oval
29:39	is a stretched out circle basically write an oval .
29:44	You've seen these around , right ? Can you say
29:46	that with us ? Over ? Over ? Good .
29:53	Let's look through these three shapes again just to make
29:56	sure we really know them . What is this shape
30:03	? Yeah . A triangle . What's this shape do
30:07	you know ? Yeah , it's an oval . What's
30:12	this shape ? Yeah . A circle . Okay .
30:20	What is this shape ? Yeah it's an opel .
30:25	What is this shape ? Uh huh . It's a
30:31	triangle . What is this shape ? Yeah a circle
30:43	. Now we're going to get help from our friend
30:45	Clarence who's going to show us the next four shapes
30:48	. Okay , the next four shapes all have one
30:51	thing in common . They have four sides , four
30:54	shapes that have four sides . So let's meet these
31:02	shapes . The first one is this shape ? This
31:05	shape is a square . A square . A very
31:09	common , very popular shape . The next shape is
31:13	this shape ? What is this shape you already now
31:18	? Yeah a rectangle . A rectangle . The next
31:22	shape is not as popular and you might not be
31:25	familiar with it . This shape is a trapezoid .
31:30	Oh that's a fun word to say . Can you
31:32	say trapezoid Wow Trapezoid . And the final shape is
31:38	this one which is a parallelogram wow parallelogram . Mhm
31:46	. First let's look closer at the square . Okay
31:50	the square has four sides of course but all four
31:53	of the sides are the same length . Okay so
31:57	it looks like a perfect box doesn't it ? A
31:59	square . A square has four sides that are all
32:03	the same length . Next we're going to take a
32:10	closer look at the rectangle . Yeah rectangles are pretty
32:15	cool . They are usually drawn like stretched out squares
32:20	aren't they ? It almost looks like a square that's
32:22	been stretched out . But a rectangle is any shape
32:26	that has four sides and has four corners that look
32:30	like these . And they're usually drawn like this so
32:33	they can be drawn differently . They're usually drawn like
32:36	a stretched out square . Next we are going to
32:43	take a closer look at the trapezoid . What a
32:46	cool shape name trapezoid . Two of the sides are
32:52	parallel to one another and the other two sides are
32:57	not . That's what makes a trapezoid a trapezoid .
33:01	Mhm . You might be wondering what does parallel mean
33:07	? Well let's show you , yeah we'll show you
33:11	with these lines . These lines are parallel to one
33:15	another . Parallel lines are the same distance apart at
33:19	every point . They never move closer or further away
33:26	. Yeah . Yeah . Let's look at our trapezoid
33:30	again the top side and the bottom side . Those
33:34	are parallel to one another because at every point there
33:39	the same distance from each other aren't they ? Yeah
33:43	. Mhm . But what makes a trapezoid so unique
33:48	is look at these two sides these two sides are
33:51	not parallel to one another . They're actually moving apart
33:56	as you move down the shape don't they ? Those
33:59	sides are actually moving away from one another . They
34:01	are not Parallel to one Another . That's what makes
34:05	this shape a trapezoid . Mhm . Mhm . Okay
34:12	. Clarence . We hope you're ready . The last
34:15	four sided shape that we're going to be looking closer
34:17	at is the parallelogram . And as the name might
34:21	suggest it's named after the fact that the opposite sides
34:26	of the parallelogram are always parallel to one another .
34:31	That's what makes a parallelogram a parallelogram . Mhm .
34:36	Yeah a parallelogram can be drawn in many different ways
34:40	but this is the most popular way to draw a
34:44	parallelogram to draw almost like a rectangle that is having
34:49	the wind blow really fast towards it . So it's
34:51	almost bending backwards . It's almost looking like a slanted
34:55	rectangle . That is the way that a parallelogram is
34:59	usually drawn . Okay . So what's this shape ?
35:07	No , do you remember ? Yeah . A square
35:11	. And what about this shape ? Uh huh .
35:15	A rectangle . What about this shade ? Uh huh
35:21	. It's a parallelogram . And what about this shape
35:24	? What's this ? Uh huh . Trapezoid . Mhm
35:32	. Hey Clarence . Thanks for helping us . What
35:34	? Oh are you brushing your teeth ? Okay well
35:37	good for you . That's awesome . Thanks for helping
35:40	. And wow that's it's important to brush your teeth
35:43	. This is great . I didn't know bears brush
35:46	their teeth but that's phenomenal . That's great . Are
35:49	we ? We've got more shapes to cover here .
35:51	We gotta we gotta go . Sorry sorry Clarence .
35:54	Uh We're gonna leave your bathroom now . Yeah ,
36:00	we only have three more shapes to show you .
36:03	The first is the pentagon . The pentagon has five
36:08	sides . Next is the hex a . Gone .
36:12	The hexagon has , how many sides ? Uh 66
36:19	sides . Hexagon has six sides . And the final
36:24	shape we're showing you today is the octagon . The
36:28	octagon has eight sides , eight sides . You've seen
36:36	these shapes before , Have you ever played soccer ?
36:39	Yeah . You see two of the shapes in a
36:42	soccer ball ? The white panels are hexagons . Each
36:46	white panel is a hex A gone . And you
36:49	can see there are six sides for each white panel
36:53	on a soccer ball and each black panel is a
36:56	pentagon . There are five sides for every black panel
37:01	on a soccer ball . A soccer ball is covered
37:04	in hexagons and pentagons . You've also seen octagon is
37:12	in real life . Have you ever noticed that ?
37:14	A stop sign is an octagon ? Yeah a stop
37:18	sign is an octagon . It's a shape that has
37:22	eight sides . Hey a special thumbs up to you
37:29	. You've done a great job . In fact you've
37:31	done so well we're going to quiz you . Yeah
37:35	we're gonna it's quiz time . It's quiz time .
37:38	I hope you're right , I hope you're ready .
37:40	It's quiz time . We're going to find out how
37:42	many of these shapes you can remember that . You
37:45	know it's gonna be awesome , you're gonna do great
37:48	, you've been paying attention . Okay what is this
37:55	shape ? If you need to count the sides ?
37:58	Go ahead . What is this shape ? Yeah .
38:05	Uh huh this shape is an octagon . Good job
38:11	. Mhm mm Okay here's the next one . What
38:15	is this shape ? What is this shape do you
38:20	remember ? Yeah . Uh huh A trapezoid . Yeah
38:26	. What a fun name to say trapezoid . This
38:31	is a trapezoid . Two of the sides are parallel
38:35	to one another and the other two sides are not
38:39	parallel to one another . Yeah . Okay , let's
38:46	try this shape . What is this shape ? If
38:52	you need to count up the sides ? What shape
38:55	is this ? Great Job ? A Pentagon . A
39:04	Pentagon has five sides . Great job . Okay .
39:12	You're doing a great job . You're doing a great
39:14	job . How about this shape ? Okay . How
39:16	about this shape ? What shape is this ? Yeah
39:24	. Yeah . A triangle . Triangle . We know
39:28	it's a triangle because it has How many sides ?
39:33	Uh huh . Three . A triangle has three sides
39:37	. Well done . All right , let's give this
39:44	shape a world . What shape is this ? What
39:49	shape is this looks pretty cool . But what shape
39:52	is it do you remember ? Yeah . All right
39:58	. Uh A parallelogram . That one is fun to
40:01	say to parallelogram . Can we say that together ?
40:04	A parallelogram ? Oh you can say it louder than
40:08	that parallelogram . Oh come on 11 more time .
40:12	One more time parallelogram . Great . A parallelogram .
40:21	Mhm . All right . Here is the last shape
40:23	that we're going to quiz you on . What is
40:26	the shape ? Mhm . You can count up the
40:30	sides . What kind of shape is this wow wow
40:38	impressive . Yeah . Yeah this is a hexagon .
40:42	We know it's a hexagon because it has how many
40:45	sides ? Six sides . Yes wow . Very impressive
40:51	. That is so impressive . Well done . That's
40:54	great . This is a hexagon because it has six
40:57	sides . So much fun . Hey we've talked about
41:06	addition subtraction and the shapes . Next we're going to
41:09	learn about multiplication . Then we're going to use that
41:13	multiplication to do something cool with shapes . You see
41:18	multiplying is like being a detective , you're cracking a
41:22	code which is so cool . You're solving mysteries like
41:26	legit mysteries . Like I'm I'm in an office building
41:29	right now . There's a cake behind me . For
41:31	some reason . I'm looking out right now , are
41:33	you guys ? And I see that you're like ,
41:34	whoa , we're gonna multiply and once you learn it's
41:39	just a game . So buckle in for the fun
41:41	and the learning , let's say you have two bikes
41:47	and for some reason they look the exact same and
41:50	somebody wants to give you an air pump . They
41:55	ask a simple question . How many tires do you
41:58	have to take care of to figure that out ?
42:03	We're gonna use multiplication , we're gonna play the game
42:06	. It's gonna be awesome . Okay , so here
42:10	is how multiplication works . So we put the number
42:16	that's in each group and then we put this X
42:19	. Which means times and then the number of groups
42:23	. So that tells us how many times that number
42:26	is going to show up . And then we add
42:28	them all together and you've got your answer . Isn't
42:31	that cool . Mm . And just a side note
42:35	to work , there has to be the same number
42:37	in each group . Anything . Now , remember ,
42:42	we're trying to figure out how many tires you have
42:45	to take care of if you have two bicycles .
42:49	All right . Now we have the wheels under each
42:52	bike . Each bike has two wheels . Mhm .
42:58	12 So we write down a to each bike has
43:05	two wheels . Remember the first number we write down
43:12	with multiplication is the number in each group . Then
43:18	we write an X . This X means times two
43:23	times . It's the symbol of multiplication . Actually .
43:29	All right . The second number we right are the
43:31	number of groups . You can see them here .
43:34	How many groups do we have of two ? How
43:38	many ? Yeah , too . So it reads two
43:44	times to you To figure this out . We're going
43:50	to skip . Count by two . Mm hmm .
43:53	24 That means two times two equals four . If
44:03	you have two bikes , that means you have four
44:05	wheels 22 times is four . Remember this is how
44:13	multiplication works . The number in each group times the
44:19	number of groups equals your answer . Of course .
44:26	To work . There has to be the same number
44:29	in each group . All right , let's take this
44:33	to the next level . Let's say someone has four
44:35	bikes and here are their wheels . You know how
44:44	to do this ? Now , each bike has two
44:46	wheels . To the first number we write down is
44:49	the number two . That's the number in each group
44:53	. You can't trust . We're gonna put the time
44:56	symbol there and count the number of groups . 1234
45:01	So it's two times four . This is so much
45:06	fun . This is multiplication . Now let's skip .
45:13	Count to get the answer . 2468 . Aid is
45:22	our answer . There are eight wheels . Two times
45:25	four equals eight . This is how multiplication works .
45:32	Mhm . We put the number in each group times
45:36	the number of groups and we get our answer .
45:40	You're getting the hang of it . All right .
45:43	Let's try this one . Mhm . Mhm . Let's
45:48	say you buy three packs of trading cards . Let's
45:53	say each pack had five cards in it . Huh
45:57	? That's pretty good amount . So three packs of
46:00	five cards . Mhm . How many cards did you
46:06	get in total ? That's a really great question .
46:09	Sounds like we're gonna need to multiply . So each
46:16	group has five . So , that's the first thing
46:19	. We write down the number in each group .
46:21	That's five . Put the multiplication sign , which is
46:25	the X . Which means times five times how many
46:33	groups are there ? 123 So the second number is
46:39	35 times three . What's five times three ? We're
46:45	gonna skip count to find out 5 . 10 ,
46:52	15 . Five times three equals 15 . You have
46:58	15 trading cards . All right . This is how
47:06	it works . You take the number in each group
47:09	times the number of groups and you get your answer
47:14	. Mhm . Now , here are some multiplication tricks
47:20	that are gonna be really sneaky ways that you can
47:22	figure out multiplication problems . Really , really quickly .
47:27	Here's the trick . If you multiply any number by
47:30	zero , you always get zero . Always . You
47:34	always get zero . Here's an example , five times
47:41	zero equals zero . When you have zero groups of
47:45	five , that means you have zero . There are
47:48	none . Whenever you multiply any number by zero ,
47:51	you always get 0 . 100 times zero equals zero
47:57	. Even if zero is the first number in the
48:03	equation , you still always get zero . When you
48:07	multiply by any number , for example , zero times
48:10	11 equals zero and zero times 1000 equal zero .
48:20	If you multiply any number by zero , you always
48:24	get zero . Oh , this has been so much
48:27	fun . Here is the next trick . If you
48:34	multiply any number by one , it stays the same
48:39	. Look at these seven times one equals 7 ,
48:42	100 times one equals 133 times one equals 33 .
48:51	If you flip them , the answer stays the same
48:55	one times seven equals 71 times 100 equals 101 times
48:59	33 equals 33 . Honestly , the order of the
49:03	multiplied numbers does not change the answer . If you
49:11	were to flip the number of groups and the number
49:14	in each group , you would still get the same
49:17	answer . So we still recommend this way . So
49:21	simple . The number in each group times the number
49:24	of groups to get your answer . So the two
49:31	tricks have been . If you multiply any number by
49:34	zero , you always get zero jesus and if you
49:41	multiply any number by one , it stays the same
49:45	. The final multiplication trick is to use multiplication tables
49:56	. They come in all shapes and sizes , but
49:58	they are all helpful , especially as you're first learning
50:01	how to multiply . Here are some examples of multiplication
50:05	tables . There's a table for all of the numbers
50:08	from 1-10 . Mhm . Some kids memorize tables like
50:16	these so that they'll know right off the bat in
50:20	a moment what an answer could be for certain multiplication
50:24	problems . This is how multiplication works . The number
50:29	in each group times the number of groups gives us
50:32	our answer . Amazing . Now we talked about multiplication
50:40	and promise that we would be able to use it
50:42	to do something cool with shapes . Next we are
50:45	going to talk about finding the area of a shape
50:51	. Whoa ! In this video , we are going
50:55	to learn about area . It's gonna be fun .
50:58	But first we want to hear from you . Six
51:02	year old Hannah from Maryland said my favorite video is
51:06	on place values . We are so glad you enjoyed
51:09	it . Please , values are awesome . We also
51:15	heard from Mrs Yablonski second grade class in Pittsburgh who
51:18	watched our sentence fragments video and said we loved the
51:22	video , especially mr Whiskers . It was funny and
51:25	we also learned something too . That's great . We
51:29	love to hear that . We love hearing from all
51:35	of you . Be sure and watch this video to
51:37	the end To learn how you two could be featured
51:39	on one of our videos . Well , as we
51:44	mentioned earlier in this video , we are going to
51:47	learn about Area Yeah . Area is something we can
51:53	discover about shapes . The area of a shape refers
51:57	to how much space is inside of it . Area
52:03	is very different from perimeter . If you'll remember perimeter
52:07	is the space around a shape ? Area is the
52:10	space inside of a shape ? All right . So
52:17	area is the space inside of a shape ? And
52:20	parameter is the space around a shape . So they're
52:25	very different , aren't they ? In this video is
52:27	all about area . We're going to learn how to
52:30	find the space inside of a shape . This should
52:36	be fun . Let's play a game called What's the
52:39	area ? We want to find the area of this
52:42	shape . What kind of shape is this ? Yeah
52:46	, A square . Remember the area of the shape
52:49	? Is the space inside of the shape ? We
52:53	are going to measure the area of the shape using
52:56	square units . So the area of the shape is
53:03	how much space is inside of it . So how
53:06	many square units are inside of this square ? Do
53:11	you know if you don't just count them up ?
53:15	Yeah . Four . There are four square units in
53:19	this square . Four square units . Is the area
53:23	of this square ? Okay , that was cool .
53:29	Right , let's try figuring out the area of this
53:32	rectangle . Just like last time we're going to measure
53:35	the area of this rectangle using square units . Remember
53:40	the area of a shape ? Is the space inside
53:43	of the shape ? So how many square units are
53:47	in this rectangle ? Do you know ? Yeah ,
53:55	there are five square units in this rectangle . Great
53:59	job . That's the area of this rectangle . Five
54:03	square units , awesome . Now we are going to
54:09	look at an irregular shape . What is the area
54:14	of this shape ? Just like we did with the
54:17	others . We are going to measure the area of
54:19	this shape using square units . How many square units
54:24	are inside of this shape ? Feel free to pause
54:27	this video to give yourself time to count them .
54:37	Were you able to count all of them ? How
54:40	many square units are in this shape ? What is
54:44	the area of this shape ? Yeah , 12 square
54:49	units . Great job . There are 12 square units
54:53	in this irregular shape so far . Finding the area
55:00	has been very easy because we've shown you the inside
55:04	of the shape . So all you have to do
55:05	is count how many units are inside . But what
55:09	if you can't see the units inside the shape ?
55:12	What if there are just numbers that you know and
55:15	you have to come up with the area ? Another
55:18	way here is the fun part to find the area
55:24	of a shape . You have to use multiplication .
55:27	Yeah , multiplication . So how do you find the
55:34	area of a square or a rectangle ? Using multiplication
55:38	. All you have to do is multiply the length
55:42	times the width to get the area here , we'll
55:45	show you , let's say we want to find the
55:50	area of this rectangle . It is six ft long
55:54	and one ft wide . Remember to find the area
55:58	of a square or a rectangle . All we have
56:01	to do is multiply the length times the width ,
56:06	the length times the width is the area . It's
56:09	just simple multiplication . So we would write six times
56:13	one . Six times one will give us the area
56:17	of this rectangle . What is six times 1 ,
56:23	do you know ? Yeah , six times one is
56:27	six . Whenever you multiply a number times one it
56:31	stays the same . So our answer is six ft
56:36	squared . That little to next two ft means squared
56:41	. It tells us that the rectangle has six square
56:45	feet of space . Inside The area is six ft
56:50	square . Why don't we try another one ? Let's
56:56	say we want to find the area of this square
57:00	. It is three cm long on each side .
57:04	Remember to find the area of a square or a
57:07	rectangle . All we have to do is multiply the
57:11	length times the width for a square . The length
57:14	and the width are the same size , aren't they
57:17	? Well , the length times the width is the
57:21	area . So we just have to multiply , we
57:24	would write three times 33 times three will give us
57:30	the area of this square . What is three times
57:37	3 , do you know ? Mm Yeah , three
57:42	times three is nine . The area of this square
57:45	is nine centimeters squared . That little to next two
57:49	centimeters means squared . It tells us that the square
57:53	has nine square centimeters of space inside . Mhm .
58:00	That was so cool . What about this rectangle ?
58:03	What is the area of this rectangle ? As you
58:07	can see ? It is four m long and two
58:11	m wide . Remember to find the area of a
58:14	square or a rectangle . All we have to do
58:17	is multiply the length times the width , the length
58:21	times the width is the area . It's just simple
58:24	multiplication . So we would write four times to four
58:29	times two will give us the area of this rectangle
58:34	. What is four times 2 , do you know
58:39	? Mhm . Yeah , four times two is eight
58:42	. So the area of this rectangle is eight m
58:47	squared . That little to next two m means squared
58:51	. It tells us that the rectangle has eight square
58:55	meters of space inside . Mhm . As we are
59:01	wrapping up , we want to share too quick tips
59:03	about area . As you saw from our examples when
59:07	you find the area of a shape , the answer
59:09	is always squared . If we discovered the area of
59:13	a shape was measured in feet and the answer was
59:16	50 , our answer could be written 50 square feet
59:20	Or 50 ft squared . The answer is always squared
59:24	because area tells us how much space is inside a
59:29	shape . The little to means squared . The second
59:35	thing we want to mention is that you have to
59:37	use a different multiplication equation to find the area of
59:42	circles and triangles . In this video , we just
59:45	learned the basics of area and how to find the
59:48	area of rectangles and squares . But this is just
59:52	the beginning . In the start of an exciting math
59:56	world , there is so much more about area to
59:59	learn . Mhm . How much fun was that ?
60:03	Thanks for watching this video to the end . We
60:05	hope you enjoyed learning math with us today . Math
60:09	really is exciting . Don't forget to say hello to
60:12	us in the comments and let us know what your
60:15	favorite part of this video was . We think you're
60:18	awesome . And we hope to see you next video
60:26	. This is the end . But don't cry .
60:27	You know , there's a circle in the middle of
60:29	screen that's popping up . You can click that to
60:32	subscribe if you haven't already . And there are two
60:35	special videos that you can check out . You can
60:37	just go straight to those or you know , do
60:39	whatever you want . You know , an internet land
60:42	. But why not learn more ? We have so
60:44	many more videos . All right . So , we
60:47	hope to see you there . Okay .

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