4th Grade Math - Free Educational videos for Students in K-12

4th Grade Math - By

Transcript


00:01	uh boys and girls today's lesson , We're going to
00:08	start off with quick images . So you need to
00:10	have your Mac notebooks out . Let's date it for
00:13	September 14 . We started quick Image is just the
00:16	beginning of this week . Remember I'm going to show
00:19	it once , five or 10 seconds and I'm gonna
00:23	hide it again . So you need to really visualize
00:26	what you see and draw what you see . I'll
00:30	give you a few seconds . I'll show it again
00:33	. I'll hide it again again . You're going to
00:36	add to your visualization of what you see . Then
00:40	I'll show it a third time and we'll talk about
00:42	it . We'll talk about how we can get it
00:45	to relate to math , math equations and some people
00:49	think we're gonna probably have a different , different ways
00:51	of viewing it . So we'll talk about that too
00:53	. So are your eyes ready ? Hey , here
00:56	we go . First time . Yeah . Let's look
01:10	at it again . Your eyes ready ? I don't
01:13	want , you might have missed it . Mhm ,
01:19	mm hmm . Can you think of an equation that
01:26	might go with this ? How did you know how
01:27	many there were ? Can you circle your three groups
01:32	of six so I can see it even better .
01:35	Yeah . Mhm . Okay , let's see what you
01:41	got . Yeah . Mhm thumbs up . If you
01:47	got it Exactly right items up if you were really
01:51	, really , really close and you were on your
01:54	way . So I know sometimes it takes us a
01:57	little bit longer than the time I can give you
01:59	and folks , let's talk about how many this is
02:03	and how you visualize that with your math , Jose
02:07	, what do you do ? Uh I'll put three
02:11	times six equals 18 . You got three times six
02:14	equals 18 . Can you come up here and circle
02:18	? Mm . How you visualize three times six equals
02:20	18 please thumbs up if that's what you saw .
02:24	Ah So we've got some thinkers that are all thinking
02:28	the same . Yeah . Now he's showing us what
02:35	he's showing us . What's he showing us Ethan .
02:40	Say it again , please ? Groups of three groups
02:44	of three . And how many groups of three did
02:46	he get six ? Six ? Good job . Thanks
02:49	. Anybody see it another way ? Yeah , anybody
02:53	see it another way . Uh Well how do you
02:56	see it ? Uh Deandra nine times 29 times two
03:02	. And what did you get for ? Nine times
03:03	two , 18 . 9 times two equals 18 .
03:06	Can you come up and show it ? Please use
03:09	it a different color marker so you can see it
03:12	. Did anybody think like Deandra ? Yeah . Yeah
03:25	. The teacher . Okay . Yeah . Yeah .
03:30	Okay . I see how you connected it . nine
03:33	groups of two . Did anybody do the community property
03:37	of that one ? Because I really didn't think nine
03:39	groups of two . I thought of it as .
03:43	Yeah . What's The Community That ? nine Times 2
03:46	. Yeah . Yeah . Yeah . Say it again
03:49	two times two times nine . And I'll show you
03:52	what I did . You might think of it like
03:53	that two times 92 groups of nine come up .
03:56	Jacob and show us how you saw that way .
03:58	We know that these mean the same thing . We've
04:02	already talked about that . But circling and they might
04:05	show it in a different way . Show me your
04:07	two groups of nine . Yeah . Okay . Mhm
04:14	. Mhm . Good job . Good job . Another
04:19	way . Got another marker . We can do it
04:22	one more way and then we're gonna go on with
04:24	our math lesson for the day another way . Uh
04:27	What you get mm care is going to show us
04:32	what she's doing . Oh good . So you and
04:50	Jose were doing the community of each other . The
04:53	flip flops is what ? Kindergartners column . Right ?
04:55	But not in fourth grade . So a lot of
04:57	a solid as looking at groups up as groups up
05:02	. If I was gonna put and this is just
05:03	going to extend a little bit . If I was
05:05	gonna put all of these together . He's still big
05:12	. Well mm grab the little eraser out . Uh
05:19	huh . Does that look big ? Huh ? That's
05:27	big . It's quicker if I was going to put
05:30	all of these together and make , what am I
05:33	making ? If I put all of my rows and
05:35	columns and fit them together , what am I making
05:38	Trip ? What am I making ? Alright . An
05:41	array . What would the dimensions be if I was
05:43	going to slide them altogether ? 6x3 . Good job
05:47	. Come and show us . Yeah . Mhm .
05:58	And then label where you're six would go . Good
06:01	job . Cool , cool beans . That's the new
06:06	work . Cool beans . Good job . Good job
06:08	on quick images . We're gonna do those . Why
06:10	are we doing them ? We're gonna keep doing them
06:12	. Why ? What's it gonna help us do ?
06:16	Especially us that still are trying to memorize some things
06:19	. What's going to help us do ? Yeah .
06:24	Matthew sometimes it can help us um count battle .
06:31	Count faster and what's counting has to do with a
06:36	raise . Um It can help you long time .
06:40	Exactly . Very good . Exactly . All right .
06:44	You can keep your notebooks open because you're probably gonna
06:46	need them . But I need your pencils down and
06:48	all eyes up here on our smart board . We're
06:52	gonna do it . Think pair share . We're gonna
06:55	do a lesson today . It's called multiple . Okay
06:58	. Tive comparisons . I want you to think .
07:04	What does that mean ? And I mean when you
07:07	give you a little bit of hint , you all
07:09	know back here on our cafe menu . How to
07:13	figure out what words are . You've given me these
07:16	ideas how to figure out what they mean . We've
07:21	done nifty thrifty 50 , talked about prefixes and root
07:26	and base words and suffixes . Use your schema in
07:31	reading . Help you figure out those math words .
07:34	Think . Mhm . Mhm . What does multiplication comparisons
07:44	mean ? Mhm . You're thinking pair up with your
07:52	partners sitting around , you talk about it . What
07:55	do you think it means multiplication And uh check about
08:01	multiplication . And then compare compare . We compare .
08:06	The multiplication is to get multiple multiply . What about
08:10	comparison comparison ? What's the word in there ? Like
08:15	that is to say not ? What do you think
08:20	? What did you say that ? She agreed with
08:23	said multiplication paris . I know it's hard . It's
08:29	really like you both get them like steady . For
08:31	each for each one you like night steady . So
08:36	what steady me When you're talking about multiplication comparison um
08:41	Seven times three and three times seven . Okay so
08:44	you think it kind of means flip flops And you
08:47	said that the community property ? I love the way
08:49	you always try to give examples to help me understand
08:51	. That helps me . Like you can still get
08:53	to compare them . Yeah and you're comparing those two
08:56	? Okay what do you think ? It's probably like
08:59	I mean like it could be a different ring ,
09:03	a different array . So you're going to compare one
09:06	array to a totally different array ? Okay . Okay
09:15	. Does anybody want to share their thoughts ? Their
09:17	ideas chiana me and my partner shares that watch application
09:25	compare multiplication of comparison multiple kate of comparison . We
09:32	think it means that you compare Want one multiple case
09:38	Ethan . You can help her out if she wants
09:40	your help . We believe that um mm that means
09:46	that we that you compare one multiplication equation with another
09:50	. Okay okay that's a good idea . Good thinking
09:56	. What do you think ? I think that you
09:59	have to put two numbers together and see what are
10:01	equal To any two numbers . no and you said
10:07	see what it equals . Well let me rephrase my
10:09	question . What are you going to do with those
10:10	two numbers when you put them together ? You gotta
10:13	tell me what put together means . Yeah so we
10:17	can do a lot to numbers . Think of your
10:20	word . Yeah think of the work . Do you
10:25	see any words ? Small words that jump out at
10:29	you in that big long word multiple multiplication of comparison
10:35	compare . Okay but you were talking about doing something
10:40	to two numbers . Do you see another word out
10:42	there ? That might help you decide what you're gonna
10:44	do to those two numbers ? Besides compare them ,
10:48	share , share them . What are you thinking ?
10:51	Trent . You have your hand in the back ?
10:53	I was thinking that it might you might have to
10:57	have two numbers and you have to find the multiples
11:01	. Okay . And why do you say to numbers
11:03	with multiples ? What do you do multiples ? Because
11:06	it's as multiple ? So you're you're chunking you're seeing
11:10	a little word in that big long word . That's
11:12	one of the things to be said about accuracy .
11:14	That's one of the things we're learning about 50 ,
11:15	50 , 50 . Um De janeiro . Uh You
11:22	take two different months of for months of multiplication equations
11:29	and see if they could are saying okay and I'll
11:33	have time for one more and then we're gonna go
11:35	on and we're gonna see if what we were thinking
11:38	is really what we're going to be doing with multiplication
11:41	comparisons . One more . Um How about Olivia ?
11:48	Oh sure . Multiply means multiplying by numbers . So
11:53	you think multiplication means multiplying numbers ? Okay . We're
11:57	going to compare them . Sure . Okay . We'll
12:00	track . All right . Let's focus back . We've
12:05	done I think pair share and I want to show
12:07	you a problem that it is an example of multiplication
12:15	of comparison . And it sounds like this . Deandra
12:21	picked seven apples . Reese picked four times as many
12:27	apples . How many apples did he pick before I
12:33	even start to think about it . Like math .
12:36	I think about it . Like reading were the characters
12:39	in our story ? Who are the characters in our
12:43	story ? Kayleigh Deandra and Tianjin Reese . What are
12:53	T . Andhra and Reese doing Shayla at the count
13:02	of apple's ? Uh They're counting apples . Do you
13:05	think they might eat them ? What can you infer
13:08	they might do with them ? Besides eat them ?
13:11	Like this is done and yeah . Okay . Mike
13:18	plant the seeds out of them . Regular apple school
13:20	. All right . What is uh your problem ?
13:24	Because in math the story problem becomes your problem .
13:29	So what do we need to figure out here ,
13:37	Alex ? Do we need to figure out how many
13:41	apples they have ? Do you need me to reread
13:46	it for you ? Okay . It says Tianjin picked
13:50	seven apples . Reese picked four times as many as
13:54	as many as apples . How many apples did he
13:57	pick ? So who are we looking to see ?
14:01	We're looking for weeks . We're looking for racist .
14:03	Apple's . Good job . Good , good , good
14:05	, good job . All right , hands down .
14:09	I'm starting to learn how to use the smart board
14:11	. You're gonna think this is pretty cool . Your
14:13	third grade teacher may have already showed it to you
14:15	. I'm going to show you the apples that Deandra
14:19	picks . Okay you can count with me 12 Oh
14:34	what's to say ? Exactly . I'm gonna make this
14:38	page just a little bit longer . Alright . Seven
14:41	apples . T . Andres . You have fun picking
14:43	your apples . I like apple . You like apple
14:45	school . All right . Reese comes along and he
14:49	the story says he picked how many more or how
14:53	many times more ? Four times . Who wants to
14:57	show me the one time , the one time ,
15:02	one time as many as Reese Jacob . All you
15:06	gotta do is your apples are gonna be red ,
15:09	Reese 200 years of yellow . So you're gonna show
15:12	me one times as many and this is a well
15:16	we'll see what happens . Floor . Mhm . Three
15:24	why ? Good job are you done Good job that
15:35	four step back because we're in the thing this shows
15:39	that one times as many as who ? T .
15:44	Andhra that's one . Okay , alright trends ready .
15:49	Jacob said he's ready so J trend you're going to
15:52	show us two times as many but you've got to
15:56	use what Jacob already has on there . Okay keep
15:59	the richard , do your stuff , do your thing
16:01	, do your thing . Uh Great . Oh oh
16:15	just click off . There you go . She says
16:19	hi seven fish . He said yeah tell me why
16:31	I should show me two times as many we can
16:34	put Show me two times as many seven Apples .
16:39	You did seven apples . Is that a group of
16:42	seven apples ? It's not a group . You tell
16:48	me you think it is a group ? Why is
16:51	it considered to be a group ? Because I put
16:54	seven apples and you put on , we could put
16:56	a circle , Did Jacob make a group of seven
17:00	apples ? And what did I ask you to show
17:04	? Did I say show two groups of seven you
17:10	are interpreting that and that's exactly what I want you
17:12	to do . That's exactly what I want to do
17:14	. But what did I really say ? What did
17:19	I say ? I said show Me two times .
17:22	But listen to their language . They kept saying to
17:27	groups up . Hmm . All those synonyms maybe maybe
17:33	think about that Jose . You want to show me
17:37	three cars as many . I'm going to extend this
17:39	page a little more . What ? Okay . Oh
17:54	seven . You caught yourself . Why did you go
18:00	back ? Because all I heard eight hurt . But
18:06	he wasn't paying attention . You probably must have been
18:08	. He didn't because he stopped . He didn't pay
18:10	attention . He would have kept going . So you
18:11	didn't pay attention . So tell me what you got
18:13	here , Jose I get 21 , you have 21
18:18	. How do you know ? Because I know that
18:22	seven times 47 . 7 times to 14 . And
18:26	if you add seven , more than 14 you'll get
18:30	oh 21 . Cool . You got , can I'm
18:38	gonna say do you have seven or you have ?
18:41	How many groups up here ? That's what I was
18:43	. How many groups ? You have 33 . So
18:46	could I say you have three groups of seven ?
18:48	Can does anybody know the synonym of what I asked
18:51	him in the beginning to do ? What did I
18:55	tell him ? I didn't come up here and show
18:57	me three groups of seven . What did I say
19:04	? Giovanni ? Three times seven . I did show
19:08	me three times a day . Three times a day
19:11	job . Okay . Someone Dijon A I need you
19:15	to show me four times as many using already .
19:18	What they have . Why three are you finished ?
19:34	So can you explain what you have up on the
19:35	board using all your peers stuff too ? You have
19:40	four times 7 . Do you have uh four times
19:47	as many as to Sandra ? Yes , you do
19:51	. So tell me are we finished ? How do
19:55	you know ? I think are we finished with the
19:58	story ? How do you know ? I'm going to
20:03	read it out loud because I think some people might
20:05	need that . Deandra picked seven apples . What color
20:09	her apples ? Everybody ? Reese picked four times as
20:15	many apples . How many apples did he pick ?
20:19	Are we finished with our story ? Did we solve
20:23	our problem ? No . Talk to me about that
20:27	. Talk to us because we have to figure out
20:29	what it equals . Have we done that ? How
20:34	many of you think we've shown what it equals ?
20:38	What should go with our picture ? To make it
20:41	very clear that we have an answer . We've got
20:46	some equations up here , we've got a visualization ,
20:49	a picture up here . What else would even make
20:52	it better ? Total What is the total Kayleigh ?
20:56	21 ? Yeah . Mhm Jax kelly . You what
21:05	were you gonna say ? Good Morning . Orange .
21:07	21 Jose . Did you say ? 21 when you
21:11	had three groups of seven . Another four groups of
21:15	seven . So what we need to do ? Oh
21:19	10 , It's four groups of seven . What do
21:24	we need to add to the three groups ? Seven
21:26	more . Seven more . Get it going waiting .
21:30	28 . Very good . 28 . What ? 28
21:34	Apples should we label ? Well , why should we
21:37	label every answer in a math story ? So the
21:42	person knows what you're talking about . Absolutely . What's
21:45	the story about ? We don't wanna put oranges ,
21:48	we don't want to put raindrops , we want to
21:52	put apples . So if I was going to answer
21:55	the question , how many apples did he pick ?
21:58	Using our visualization ? The manipulative on the smart board
22:03	using the math equations that you gave me . What
22:07	would we put for our answer ? How every And
22:11	should be up . Because good listeners should have heard
22:13	Caylee . She worked hard on that . Hi ,
22:20	ana 28 28 1 28 Apples . Very good .
22:25	28 . Mhm . That is an example of multiplication
22:33	comparison . Are you changing your predictions a little bit
22:38	? Are you still going ? Huh ? How many
22:41	of you like that ? Huh ? It's okay .
22:44	Like uh Okay . Don't try how many you're still
22:49	wondering anymore . Help I want to see it again
22:53	. Guess what you're gonna see it again . Because
22:55	I have a feeling most of your Uh huh .
22:58	Brand spanking new . I want to show you another
23:00	problem . Okay . It's an example of multiplication comparisons
23:05	. Think about what you were predicting . It was
23:06	all about . Let's see . Yeah , yeah .
23:13	You change your mind . All right . Here's the
23:16	thing go back to what you were thinking . Multiplication
23:20	comparisons is all about . And I want you to
23:25	focus on the repeated words . I love it because
23:30	repeated words . What we were doing in writing .
23:33	Focus on the repeated words . And Aaliyah's little sister
23:37	is two ft tall . Her dad is three times
23:41	as tall as her little sister Katz follows her Dad
23:45	. Deandra picked seven apples , respect four times as
23:49	many apples . How many did he pick ? Are
23:53	there some repeated words in both of those problems ?
23:56	Are there some repeated words in both of those problems
24:03	? Are there some repeated words ? Mhm . Erin
24:12	. Are there some repeated words ? Yes . What
24:16	do you see ? Okay , picked you see ,
24:20	pic ? Oh , okay . I see what you're
24:22	doing . I wouldn't know pick is in your twice
24:25	. But I don't know if there are some repeated
24:26	words in both stories . You're absolutely right . So
24:29	let me rephrase it , comparing both stories . Are
24:32	there some repeated words ? Mhm . Would you like
24:36	some help ? Are you thinking more time to think
24:39	or help ? Hell calling somebody that can help ?
24:46	Yeah . So Deandra . Mhm . In the white
24:53	structure grief . Yeah . The great shirt . Oh
24:57	I on uh yes , Okay . Where are they
25:03	? Little sister and apples ? Little sister and apples
25:07	are all the same words . Oh , I want
25:10	the words in this one to be in this way
25:13	. You are making repeated words in one story .
25:15	Times time . Is that all ? And there's spoilers
25:23	? Video work . We should forever town . Uh
25:26	huh pal . No , I'm not thinking that when
25:30	the car goes with times her dad is three times
25:34	as tall as her little sister respect . Four times
25:38	as many it will be work as many again ,
25:44	As many as many times as times as this one's
25:51	times as tall . This one's times as many .
25:54	Okay . Think about your fair share . Think about
25:59	multiplication comparison . Go ahead . Okay . Like taking
26:04	a drink . I think what multiplication comparison , you
26:10	know , what does that mean ? Uh Still I
26:14	think it's um it's where you can like the community
26:20	and try to make them like bounce bows and uh
26:26	I think it's the same thing for you can give
26:30	them balance . It's like a story problem and that
26:35	it can help you with story problems about county and
26:41	multiplication . A I think it's actually like where you
26:49	can , I'm like china chunky , chunky . It's
26:52	like it's like in the word like um uh like
26:58	compare it I compare for , you know , again
27:05	, do you have anything else ? Wait a minute
27:37	when I look at the picturesque two on this side
27:39	and six on this time when you were talking about
27:41	your dad is that balance ? So what do you
27:43	mean you have to explain balanced way ? Mhm .
27:48	Ah So you're saying balance for another word for communicative
27:56	Catch . Okay . Give Me five . Anybody want
28:00	to share their thoughts now . Drew thoughts about multiple
28:03	comparisons change . Because I know in the beginning a
28:06	lot of people say we're going to compare multiplication problems
28:12	. Okay . Is that really what we did ?
28:15	Did we compare multiplication problems ? Yes . Or now
28:20	thumbs up . If you think we did compare multiplication
28:22	problems ? Okay explain why we did that , how
28:27	we did that . We were comparing multiplication problems .
28:30	Can you explain it ? You have evidence to explain
28:34	it . Yeah . Matthew we can power towards think
28:41	that will both end them . You compare two words
28:45	in them . Those two words have to do with
28:47	multiplication . Yes . Okay . Did we compare multiplication
28:51	problems ? Because if you said we did it you've
28:54	got to prove it or I'm not going to believe
28:56	it . So you people that just raise your hands
28:58	you better be thinking about how you're gonna prove it
29:01	. If you can't prove it you might say I
29:03	don't know so much if I really believe that's what
29:06	we did . I agree with you . We compared
29:09	the problems the word the story problems and found a
29:13	repeated work from what do you think we really did
29:18	? Because when I think and maybe I'm thinking different
29:20	than you did . When you all say we compare
29:21	multiplication problems I'm thinking I compared seven times 4-2 times
29:27	three . Did I do that ? No . Well
29:31	that's what I'm thinking because that's what that means to
29:34	me . Who can tell me what they think ?
29:37	Multiplication comparison means and prove it with evidence . Just
29:43	like when we infer in reading we must prove it
29:46	with evidence . Mhm . Sure . Okay Ethan .
29:54	Nice and loud . I believe that multiple creative comparisons
30:03	means . When you compel the two factors in the
30:07	multiplication occasion . Say it again . Nice and loud
30:12	. Um Our thinking is when you compel two factors
30:17	of a multiplication equation . So I'm going to bring
30:22	up this one and you talk to us about what
30:29	you just said . Like what would be the fact
30:32	? Come on . Okay . All eyes this press
30:38	student Ethan . The teacher battles would be full .
30:45	And how do you know that ? Um I know
30:50	that because um seven times four equals 28 . And
30:56	did our pictures show that ? Um There are pictures
31:01	show seven times four . Or the community four times
31:05	seven . Did it ? Can you circle that ?
31:08	So people can see where it says four groups of
31:12	seven or 7 groups of four ever . You want
31:13	to look at it ? Good . Why don't you
31:18	circle that 1 ? Because that um mm is um
31:25	, the there's a number more fun . Yeah ,
31:28	it is . And who's bad about Tian tian draw
31:31	. And what is the rest of the story about
31:34	? We've got to use this information . But what
31:36	is the question focusing on ? Um , it's focusing
31:39	on how many apples picked and which one ? Which
31:43	one of these colors shows Reese . Um would Yeah
31:50	, so he said , and let me restate it
31:54	. And if I'm not saying it right , you
31:55	help me because sometimes that kids understand your language better
32:00	than they understand my language because they're used to hearing
32:02	their peers speak . So you're you're saying that multiple
32:06	active multiplication of comparisons are when you're really comparing the
32:11	two factors in a story , to get a product
32:20	, go back to your seat , good job to
32:23	sum it up . I want to look at the
32:25	different ways . You can say £4 , 17 28
32:33	and we know the community property seven times four is
32:37	28 . Let's look at the next week and ordered
32:40	people come up with , we can say it this
32:42	way , let's say it way , we could say
32:49	it this way , it this way , going to
33:06	show you this , and I want you to read
33:08	it carefully . There's another one after it . I'm
33:10	gonna I'm gonna show it to see if you can
33:12	guess what it is . We could say , or
33:23	27 . They get they get what could the other
33:27	way be shouting trump ? What are you thinking ,
33:35	wow ! Seven , seven times as many . seven
33:41	is 28 to us as many as well . Does
33:46	that make sense ? The 728 times as big as
33:51	four . Do you think about the pictures ? I
33:54	mean he had 28/4 . 28 4 is gonna give
33:57	us seven look at how 2028 is four times as
34:03	many as seven natural factors . Mhm . Yeah we
34:12	switched out factors . So what are we gonna switch
34:14	out here ? Yeah , 70 . No . 28
34:19	factors . I gotta think of factors and four .
34:27	Yeah because because four times seven is 28 . So
34:30	we switched them out . We gotta switch them out
34:32	here in the community we could say . Yeah .
34:36	Yes that's what that says , factors as many say
34:49	it really loud . Everybody these these these are groups
35:00	what we wanted in third grade . This is an
35:03	array , this is what we've learned in 3rd and
35:06	4th grade . And this it's called what what we
35:12	talked about today . Who read it like this ?
35:17	We are doing what ? How would you say ?
35:24	Why do it ? Oh , you're saying multi multiplication
35:30	, multiple kind of comparison sounds here . What is
35:34	it everybody with a with You're gonna learn that word
35:43	. Like you learn medical ignition . You're gonna work
35:45	on this . Either tomorrow or after lunch . We'll
35:48	see what happens .

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DESCRIPTION:

Grade 4 lesson demonstrating CCSS Math Standard 4.OA..A.1,2, using literacy strategies to understand word problems. Lesson progresses through prior understandings of multiplication as groups of objects to multiplicative comparisons.

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