High School Math - Free Educational videos for Students in K-12 | Lumos Learning

High School Math - Free Educational videos for Students in k-12


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00:05 Right hand up and give me five . Okay fry
00:11 hand up , give me five five , not 45
00:19 . Put your hands down . Please listen , this
00:21 is what's going to happen right now . We have
00:23 a warm up , you have three questions for the
00:25 first question . You see the statement in the blue
00:28 purple kind of here . So for that one you
00:31 guys need to write any questions so you need to
00:33 define the variables first . Right ? Be a question
00:36 for this sentence . Right here for this problem .
00:39 Right here for number two you have 12 questions .
00:44 Your job for number two is to make up a
00:46 story . You give the words for that one .
00:48 So please write a story for each one of those
00:51 questions . If you finish before time is up ,
00:53 can you please try the problem at the bottom ?
00:55 Right up last one on your paper , you know
00:57 that it is extra credit , so you're gonna have
00:59 seven minutes In seven minutes , please be ready .
01:01 Your time is running true . So sure . So
01:11 how much money did Mr Daily Star was do anything
01:15 . And how much is he adding ? Is he
01:17 adding or or so that money is getting bigger or
01:22 smaller ? It's getting bigger or smaller ? It's increasing
01:29 or decreasing increasing . So how would that look like
01:33 if you find any questions using those letters that you
01:35 have ? Mm . Yeah . Mhm . Right now
01:41 see this is gonna happen . You're gonna have two
01:44 minutes please turn to your group and now can you
01:47 please discuss it and see if you ended up with
01:49 the same um with the same answer . If you've
01:51 got a little stuck then use each other right now
01:53 . So two minutes discuss with your group , talk
01:59 to each other , make sure that you guys are
02:00 checking with each other . So what happened did you
02:05 guys end up with the same thing ? Mhm .
02:09 Yeah . Can we compare your questions ? either you
02:14 have the same question ? She bet . three .
02:19 So this one right here and what does that ,
02:21 what does he represent ? The amount of money that
02:25 you start with ? And what does 25 represent ?
02:29 My dad ? Yes and then the money he's collecting
02:35 ? Okay so what's the other letter that you choose
02:38 what you see ? And what does it represent ?
02:43 The amount of money that he is collecting my week
02:46 that he is collecting that he is collecting ? So
02:50 will your question look like it's going to be in
02:53 standard form or white intercept is gonna look like that
02:58 one over there ? It's gonna look like this .
03:03 Uh huh . Mhm . But hold on . So
03:06 for that problem which one does this look scope is
03:09 uh oh is the one that actually have later ?
03:16 Which one is the y intercept The one that happened
03:20 there ? Mm . So so for this problem right
03:25 here what would the question look like ? How do
03:31 you know um Yeah this one or that one .
03:38 How do we know ? Can you set it up
03:42 and I'm gonna come back with the same question .
03:44 How do you know that you look like this ?
03:45 one 54 three two one for the first for the
03:56 first problem . For the first problem ? Um I
04:01 let me put it back up . What's the starting
04:07 for the first problem ? What's the starting and it's
04:13 it's that amount of money going to increase or decrease
04:17 ? Increase by how much by 10 . So the
04:21 question is it gonna look like this one right here
04:23 in standard form or is it gonna be in any
04:27 of the other ones that we have ? It's gonna
04:28 look like this or this one here . Which one
04:35 uses the starting and the slope . Wait hold on
04:42 . So which one is the starting 25 25 and
04:48 increasing or decreasing by how much ? So which one
04:53 uses that information ? The starting in the increasing or
04:56 decreasing . That's what jesus . Will you please show
05:00 us how would it look like ? And we're gonna
05:02 help me please ? Yes . And we're gonna help
05:06 you . Uh It's like that . Whether you guys
05:14 think , what are we missing ? Are we done
05:18 or sweat ? What are we missing ? Oh ,
05:22 we're missing the variables . So how are we gonna
05:26 use those variables ? Mm hmm . And w represents
05:30 what he's going with . W what established represent the
05:34 number of weeks . So the starting Plus 10 times
05:40 the number of weeks it's gonna be equals two to
05:44 the total . So echo . So you wanted to
05:46 use the team . Okay , look at that question
05:50 , increasing or decreasing increasing . How do you know
05:57 the slope positive or negative ? If the slope is
06:02 negative , what do we know ? It's gonna be
06:07 decreasing , it's gonna be decreasing . Okay . So
06:11 right now , thank you so much . Do we
06:13 have any questions ? Do we have any questions ?
06:19 Okay . So because there are two things that need
06:22 to happen today , we're gonna keep moving , we're
06:26 gonna come back and we're gonna see more problems ,
06:28 like the other two were were writing um where we
06:31 are writing equations and we're gonna discuss in our groups
06:33 and we're gonna be helping you have three teachers to
06:36 help you when , when you're working in your groups
06:38 and we're gonna see it here one more time .
06:40 So right now we're gonna switch , this is what's
06:42 gonna happen . You guys are gonna have 10 minutes
06:47 to work on this one here and this is for
06:51 10 minutes . You guys are gonna be working individually
06:55 so to see . and then after that you're gonna
06:59 come back to your groups and at the end we're
07:01 gonna end up with our super question when we're working
07:03 all together . So right now can you guys please
07:06 go ahead and send one person get as many as
07:09 you need , make it back and our time is
07:11 gonna start running we're gonna solve this problem this problem
07:16 . Um Right no more . What does X .
07:18 Represent ? Can you please look at the paper ?
07:22 Mhm X represent . Can you look at your paper
07:26 ? What does X represent ? Number of quarters in
07:42 cash register ? Okay Mohammed . What does it represent
07:48 ? A number of dollars bills in cash register ?
07:52 Right thanks . So which one is the question ?
07:55 one Three X equals one house . We were trying
08:02 to ask a question too . So for quite great
08:07 question to number one Lynette , would you please suite
08:11 number one explaining what is the meaning of H .
08:15 H . Equation explain in words the meaning of each
08:20 question . How many questions do you have ? How
08:23 many explanations are you going to have to ? What's
08:25 the meaning of the question ? Okay number two ,
08:29 God would you please read number two client to fair
08:33 value for it ? Why ? That was the first
08:36 equation . True . Fine . Two pairs . So
08:41 at the end you're going to have two points with
08:44 numbers in the make . Which question ? True .
08:48 Well which question ? True . The first question .
08:52 Okay the first question um Carla , would you please
08:55 be number three ? Trying to Question 2 ? Now
09:02 with a question . The second one . Ah The
09:05 second question . So same thing . You're gonna find
09:08 two pairs , two pairs and you're gonna find those
09:12 numbers that make ? Which question ? What ? The
09:16 second question . True . The second question . True
09:19 . Okay number four society , what are we doing
09:21 for ? Number four ? The system of the question
09:26 Find a solution to the system of the questions .
09:28 You can do elimination . You can do substitution .
09:31 So right now we have 10 minutes . See these
09:34 10 minutes you individually working . So you're not checking
09:36 . You're not talking it . You're on your own
09:39 . So right now your time is running this decision
09:45 . What is that ? Yeah , we just started
09:50 people dollars . Okay . Right now , as you're
09:54 thinking right now , is that you're thinking ? So
09:56 this question to write a meaning for a question to
09:59 at the end we come back together and we're gonna
10:00 have our super solution . So right now you're thinking
10:02 on this paper . Okay , then we check .
10:04 Okay , what's the meaning of this equation ? Can
10:07 you say it in words ? Uh three eggs .
10:10 three plus the operation here . Three times at close
10:14 to the total boy . All right . So A
10:18 number of times three times This number is equals two
10:23 X . Why ? What ? So what are two
10:27 numbers that make this equation be true ? They give
10:31 you a true statement . Can you prove that they
10:35 are going to work ? How do you know that
10:37 they are going to work ? Mm hmm . For
10:41 right hand up and give me five . Hence down
10:45 . Please listen , because this is what's gonna happen
10:47 . You spend 10 minutes working on your own .
10:50 Maybe we got a little stuck . Let's see .
10:52 Now . It's not when we get unstuck right and
10:54 see I'm looking for your thinking . I'm looking for
10:56 your work . I appreciate your work . I appreciate
10:58 your thinking . So what we're going to do is
11:01 now you guys are gonna be working with your groups
11:03 . So , can you please get another piece of
11:05 paper ? A palanquin ? Because I don't want people
11:07 raising is your work and I want to see what
11:09 you did . So get another piece of paper and
11:11 now working with the people in your group , sharing
11:14 your thinking and your answers . We're gonna come up
11:17 with a super answer for your problem . So right
11:20 now working with your groups on a separate piece of
11:22 paper you're gonna answer the questions again . You're gonna
11:25 go over the questions taking into account what the people
11:28 in your group . We're trying and thinking you three
11:33 let's discuss number one now what happened to you guys
11:36 end up with the same meaning ? Everybody got it
11:38 done . You guys got the same thing . So
11:42 can you please share and see if you guys agree
11:44 ? Go over your thinking right now discussing and I'm
11:47 gonna be back and check what happened . Okay so
11:51 share with us please . three times the number of
11:55 times you got to . What do you think you
12:07 agree with him ? So three X . Was never
12:24 so so let's let's see . What did you say
12:29 do you read with him ? What did you say
12:31 ? Yeah . Ex factory . Um a number of
12:38 uh Chester . So basically all group is saying the
12:42 same thing . So what if I asked you guys
12:45 ? I have one quarter . How many dollars is
12:47 that ? Uh Wait according to the question , that's
12:54 what we're using right now . Right . So according
12:56 to this question , if I have one quarter ,
12:57 how many dollars do I have ? Uh why is
13:01 it three ? So let's say that I have two
13:05 quarters then uh I have three quarters . How many
13:10 dollar bills do I have in my register ? six
13:15 . Why is it six ? Thank God . And
13:20 if we're using the shortcut she says three times multiplied
13:23 by the number of colors . So if we if
13:27 we use the short to Yes . Hm . Yeah
13:34 . Number X . So you're gonna replace which letter
13:38 X . Hmm . Okay . So what did you
13:41 guys say for the second question ? What happened ?
13:43 Can you guys check and see if you guys start
13:45 the same thing and if you agree with each other
13:48 thinking , please give me five Right hand up .
13:55 Give me five hands down . This is this is
13:59 what's gonna happen . We're gonna come back . We
14:01 will finish working with our groups . We will discuss
14:04 . Okay ? So right now you guys are gonna
14:06 go um water restaurant , Come back right hand up
14:10 and give me five . Mhm . Okay . So
14:17 we're gonna spend 10 more minutes and then groups are
14:20 gonna report . So 10 more . Let's try to
14:22 get as far as we can . Please make sure
14:24 that you guys are discussing that you guys are checking
14:26 with each other and then groups are gonna be reporting
14:29 . So let's say in 10 minutes . 10 more
14:33 . Okay . And then if we have times we're
14:36 gonna use computers . Hmm . Okay . So 10
14:41 more minutes then groups report and then probably computers .
14:44 We will see . Wait . Let's see . I
14:48 think she had , she has an idea what's your
14:50 I . D . Four times to four . Wait
14:53 , hold on . What is it ? Four times
14:55 too . And then 62 plus 62 better be equals
15:00 to 70 70 . Do we understand what she's doing
15:04 ? What is she doing ? She is substituting .
15:13 That's the word , right ? The S . Word
15:15 , she's substituted . So can you check and you
15:17 tell me do the numbers work you guys have to
15:23 disclose ? Okay , one more time . How many
15:27 , how many quarters do we have in the cash
15:29 register ? How many dollars 30 ? Write a sentence
15:33 , incomplete sentences . You just told me . So
15:35 put it on the paper and then let's see what
15:38 did you guys say for the meeting again ? Of
15:39 the first question ? Uh For the first question ,
15:43 what was the meaning ? So I'm gonna give you
15:51 a white board and can you guys please try and
15:53 make it really nice and really need you guys are
15:56 gonna share that one . What's the meaning of the
15:57 first question ? Ok , so write your sentence ,
16:00 right your sentence . I'm gonna get you the whiteboard
16:02 and you guys are gonna present that one . You
16:04 guys are gonna go out for saying you're gonna just
16:07 talk what you have here , Okay ? And then
16:09 if they have any questions we're gonna we're gonna answer
16:12 them . Yeah . So you go after saying for
16:15 my hand up and give me five . Mhm .
16:19 Try hand up . Okay ? Okay . Mhm .
16:33 Okay , so right now put your hands down and
16:35 see this is what's gonna happen . We did a
16:36 beautiful job . We got stuck and then we got
16:39 unstuck right um so groups are going to present ,
16:42 so we get the whole point and then if you
16:45 are still stuck , this is your chance . So
16:47 make sure that you finish up , you're taking good
16:49 notes and then if you have a question , make
16:51 sure that you ask it so that you know from
16:54 here on you don't get confused and you know ,
16:56 we take care of your questions right here . Okay
16:58 . So who has number one you guys , you
17:02 guys are gonna start and remember , you are responsible
17:05 for getting two presentations to presentations from here to the
17:09 end of that ? Remember too , that semester ?
17:11 So that means that every time you step here you
17:14 get your points . So um he's gonna start and
17:17 you know the order . So please go ahead .
17:19 Come over here and share and see the rest of
17:24 us are taking notes , making sure that our work
17:27 is matching and analyzing what he's saying and please make
17:31 sure that you are respectfully listening . Okay . Talk
17:34 to us , tell us what you did . What's
17:36 the meaning of the first question ? three times the
17:39 number of cotton cash register go to the number of
17:43 dollars in cash . Citizens . Lynette was the meaning
17:49 of the First question . Number three is equal to
18:02 the number of dollars three . Okay And I want
18:08 you guys to notice we're writing in complete sentences .
18:11 Let's listen we're writing complete sentences and remember one of
18:14 our objectives . Says we're going to interpret and analyze
18:17 express orally and in writing and writing complete sentences .
18:21 Were doing it . So do you have any questions
18:24 for our colleague questions society about the meaning of the
18:29 first question ? Do you do dresses ? Okay .
18:35 Who was the second question ? Tell us what are
18:39 your values ? How do you know that they work
18:41 ? What did you do first here I chose the
18:46 reacts equal Y . In X . X . Here
18:51 I substitute three and then and the retired to remove
18:56 my uh three times three equals nine . And we
19:00 get A Y . Y . Equals nine in here
19:05 . Uh This this way why why equation And here
19:10 is we need 3 3 equation . Mhm . I
19:14 don't know x . equation . And in we're here
19:18 I substitute nine . I get in my year nine
19:22 and and the answer is so vain . And then
19:29 I got the relaxed and I checked I substitute three
19:32 here and I got a Tuesday man . Okay questions
19:36 about the the numbers that he's using . And she
19:42 noticed how he is checking his proving no one can
19:45 challenge because he's proving that his answer works . And
19:48 look notice that the substitution , whatever Hispanics he put
19:56 33 and notice very organized . I can follow what
20:00 he's doing . Even if there was a little mistake
20:03 , I can go back and say uh he knows
20:04 how to do this . It's just this little thing
20:07 . So we speak with him like five minutes and
20:09 he's good to go questions . Yeah . Good .
20:14 Okay . So this was number two , number three
20:18 . Okay . First I saw the X equals two
20:21 . And I write the equation from the question three
20:24 X equals Y . Then all right , three .
20:27 And our access to because our access to you and
20:31 equal Y . And three times two equals six .
20:34 Why ? And I got the way it was six
20:36 . Okay . Are the body's gonna work ? Yeah
20:43 , I check you . And I go through the
20:45 man . Then we know the point our 0.0.22 comma
20:49 six is the social because we got the truest a
20:51 man . Is he checking the first question of the
20:55 second one ? So that means is he using the
20:58 same values ? The same ones ? Using what was
21:03 the X . Value ? The same was using 3
21:06 ? What was his wife ? Uh It was uh
21:13 look uh and what values is he using ? Six
21:19 and six for the extra the way the white and
21:23 his exes his access fix . So different numbers are
21:31 gonna make that question be true . Now we have
21:34 a problem because we we need still need to see
21:37 number the second question . Who has values for the
21:41 second question ? He was also checking the first one
21:45 proving that different values are gonna work . But we
21:47 need to see um two values for the first for
21:50 the second question . Who got them values that are
21:54 going to work for the second question . You have
21:57 them ? Can we please take a look at them
21:59 ? Thank you . What are the numbers used ?
22:03 two and 4 , two and 4 . Um Do
22:08 you prove that those values are going to work ?
22:10 Yeah . Okay . Walk us through . Tell us
22:13 how you know that they are going to work .
22:15 So four times 2 is equal to four 2 ,
22:21 8 and eight plus 62 is equal to 70 .
22:29 I have one question . If I want to prove
22:34 if I have these values and I want to show
22:36 that they work , how do I do that ?
22:39 Yeah . Thanks . How do we check ? Was
22:42 a strategy for checking ? Oh we need to the
22:48 S . Word , we need to substitute the numbers
22:51 . Whatever you see annex , you have the value
22:53 and you put it in whatever you see a y
22:56 you have the value , you replace it , that's
22:58 what's happening right here . Okay . Questions for gotta
23:03 No we're good . Okay . Okay I have one
23:07 more question and because if we have to differentiate here
23:12 right ? We have four ways of solving system of
23:14 questions for do you guys remember ? What are the
23:16 four ways to give me one plus one way tables
23:21 ? Was another one substitution was another one graphs .
23:26 And was the last one elimination . See Okay right
23:29 now what questions do you have ? Questions ? Yeah
23:39 . Okay so those are gonna go up so that
23:41 if you need , you know one more resource ,
23:43 you have a map and you can always refer to
23:45 them as a resource . You guys have your binders
23:47 , you book each other and the teachers in this
23:50 room . So that was a wonderful job . I
23:54 am really proud and you should be really proud .
23:56 It was you know a word problem and we usually
23:59 get stuck . But today it was great . We
24:01 did a nice job . So all of us should
24:03 be very , very proud . Okay .
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High school math lesson.

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