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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