High School Math - By
Transcript
| 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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