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

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


High School Math Story Problems - By



Transcript
00:05 so we're gonna start off today with the task .
00:07 This is Related to around page 2 71 . And
00:11 your binder . If you want to do that ,
00:13 want to take a look at that . So once
00:19 you get this you can go ahead and get started
00:21 and I'll pass out calculators also . Okay so put
00:24 your name on the purple paper and go ahead and
00:26 get started . Yeah well come around and help you
00:31 if you need it . Yeah . Okay . I
00:37 did 14 . Cool . You like do you need
00:42 another function ? So you can do the r .
00:44 Yeah we're like elimination or something . Could could you
00:48 do either of those methods with just one equation ?
00:50 No , that's why I put two . Okay .
00:53 Could you grab another one if you needed it ?
00:55 Like you guys to see you plus like the next
00:58 just another day . Yeah you could do that .
01:02 It seems like if you could do the first day
01:04 you could also do the second day . So you
01:06 could do like three of them into the are what
01:09 can sure try it out or try it out ,
01:12 You could try out that are found the calculator with
01:16 one . You can try it out with two .
01:17 Can you do everyone try it ? See if it
01:20 gives you enough information that you need . Because think
01:22 about what you're trying to find . How many things
01:25 are you trying to find ? Did you prices the
01:28 child and adult ? So if you tried with just
01:31 one equation , see if you get all the information
01:34 that you need that you're looking for . Okay .
01:37 How would you get , why would you have negative
01:40 five adult tickets ? That's actually gonna be something that
01:43 I asked you to write a little story . How
01:47 could how could that possibly happen ? They got lost
01:50 in the sink . The tickets got lost in the
01:54 sink . Yeah well or they got thrown away so
01:56 you don't have five last two years . Okay that's
02:00 fine . You're gonna write that down so you're doing
02:03 a matrix equation . Do you guys have the same
02:05 two equations though ? Yeah . Okay . Doesn't matter
02:08 which to you chose . We start to start with
02:10 the first one . Okay . And how did you
02:13 solve that one ? Okay . Okay . Cool .
02:19 Cool . Cool . Cool . How are you doing
02:21 your totals ? I'm curious adding all the sales up
02:24 for the first seven days . Okay . And then
02:26 adding all the adult tickets on the first seven days
02:29 and so on . And then you can do the
02:30 same thing can appear . So you're gonna make an
02:33 equation again with the C . And the A .
02:35 And then how you saw that ? If there's only
02:37 one equation , well you plug in because we already
02:41 have the answer so you're just gonna plug them in
02:43 and check . Cool . I'll probably have you guys
02:48 do a poster for question two and just sort of
02:51 be able to talk through what you did on that
02:52 one . Okay . Like it . Cool . What
02:56 ? Okay so for this problem are we adding these
02:59 up or we put them in each one ? And
03:02 um I would say you want to add them up
03:05 because it's saying the totals for the first seven days
03:08 so we eat uh each one individually and then see
03:10 if they match up . Yeah . Yeah . Would
03:13 that work ? Yeah . Okay . Yeah sure you're
03:16 good , yep . Okay . Right . Why don't
03:19 you tell us what you're doing ? Just adding and
03:24 and then how are you getting dollars out of that
03:27 ? Because I'm multiplying like the mountain Children ticket was
03:32 to like them out . They bought it . Okay
03:36 . After you total it or before you totally like
03:41 what is that ? 56 Try that for a total
03:46 . Oh it's four times 14 . So you're doing
03:49 each day . Okay . Okay , so mchale is
03:53 gonna total and then multiplied by four . So if
03:55 you want to you can multiply by four for each
03:57 day and then add those up . That'd be fine
04:00 . You'll get the same thing . Cool , how
04:02 are you doing up here ? Which part of it
04:08 ? Okay . And you get feeling and what it
04:11 might be asking Times numbers ? Okay . Yeah ,
04:22 two and three . But really you don't see that
04:24 word respectively . So the first thing that's listed like
04:27 april 1st , you'll double the second thing that's listed
04:31 in april 2nd . You'll triple all of those results
04:33 . Okay , So do you see how might that
04:36 might lead to two more equations ? Okay . Why
04:44 don't you make a list then , of all the
04:46 information doubled for April one and all the information tripled
04:50 for april 2nd . So if you want us just
04:56 to figure out if the prices are so the same
04:59 one you want us plugging in the prices equals this
05:02 . Can one of you do plugging in the prices
05:06 and one of you solve and see if it turns
05:08 out to be the same . That'd be good .
05:10 Cool . So on this problem right here what it
05:14 says they're returning with man triple and then it says
05:17 this respectively . So that means whatever is listed first
05:21 year , it's doubled and whatever listed second . Triple
05:24 . So then do we do a different equation or
05:27 just plug it in and see how much so double
05:30 everything from april 1st and see what happens and then
05:34 triple everything from april 2nd . Okay and then what
05:36 do we do after that ? Well it looks like
05:39 josh is writing some equations . Is that for the
05:41 first one , josh ? Okay . Can you make
05:43 another one for day two ? And what Mikhail ,
05:46 what do you think you could do with those uh
05:52 a ticket price ? You're just verifying the ticket prices
05:57 again ? Yeah so there will be bigger numbers for
06:01 sure . Yeah that looks good . How are you
06:04 doing ? I'm just curious . I'm actually doing this
06:07 one right , Tell us what you're doing . Well
06:09 I'm decided doubling doubling the numbers which means doubling the
06:13 people uh tickets . Okay good for these to cool
06:17 the information . I'm doing the same thing . Okay
06:20 . And how's it working out so far ? It's
06:22 working out pretty well but we don't know if we're
06:24 going to a direction . It sounds okay . So
06:27 you doubled everything in the chart . Okay . And
06:30 are the numbers pretty big ? Uh Well the number
06:35 that's okay , you can still work with them .
06:37 Okay . You do have a calculator . Remember that
06:40 calculator can do more than just multiply . Cool .
06:44 What's your story ? I was just gonna say a
06:47 family with five adults and four Children went into the
06:49 parking five adults got hurt . So they sued the
06:53 company . I don't know . Okay so is the
06:57 negative five negative money or what is the negative five
07:03 ? I think it's negative negative thanks money . Well
07:10 what is the title of that column of data ?
07:14 Okay so I like that story . See if you
07:21 can tie that into the number of tickets and why
07:23 that would why negative money might imply that that's gonna
07:28 be negative number of tickets . Okay . Any story
07:31 coming to you ? Okay . Wonderful . When I
07:34 wonder like how would it work if I start that
07:37 they got a refund ? But that makes sense .
07:40 Right . They went there and then they wanted their
07:44 money . Okay There's a lack of popcorn . Okay
07:51 . I know . So think about this If they
07:55 if they bought the ticket , what day does it
07:57 have ? The negative april 6th ? Of course this
08:00 is very thank you . So april six if they
08:04 bought the tickets on that day we go back to
08:08 zero . So could could you tweak that story a
08:12 little bit so that it's not a zero , it
08:14 actually ends up actually lost the tickets or it could
08:17 be that you get a refund . But could it
08:19 be think about that part where if they bought it
08:22 on the same day that might be a little bit
08:25 of an issue like culture Stewart and like I mean
08:31 that's a different story , it's a lovely story .
08:34 Carly . But what do you have here ? So
08:38 recent the theater gave the tickets away to students so
08:43 it's like a prize . Yeah because they didn't pay
08:45 for . Okay cool . I like that . That'll
08:49 work . Okay one more minute . If you got
08:52 a poster going , let's finish that baby up .
08:58 So they had to pay , but okay . Okay
09:07 , so the movie kind of lost the money .
09:09 Okay , that sounds good . Another group was talking
09:13 about a prize like that too . That's good .
09:16 Okay , see if you can attack number five and
09:18 then we'll be ready to roll . Okay , we're
09:20 gonna come together here , folks eyeballs this way yo
09:25 um well do if you made a poster for question
09:28 one , will have you come up and if they
09:31 have something on your post , on their poster that
09:33 you don't have on your purple paper , put it
09:35 on there . Okay , So we want to be
09:38 good listeners and we also want to take notes on
09:40 on the good techniques that they are using . Okay
09:42 , so if you have your poster for question one
09:45 , if you could slap it up on the board
09:46 and tell us what's going on . Okay . Mm
09:53 . Yeah , that'd be awesome . Okay , so
09:57 for the first people that was 14 Children and four
10:01 adults and a total of $96 . two Children .
10:05 22 adults , two and 28 . Same for that
10:09 . And hold on just one second . So um
10:12 did it matter which two days or three days that
10:15 you chose ? No . So you just pick the
10:17 first three days ? Yes . Okay . Did anybody
10:20 pick different days to make their equations ? Okay .
10:25 Sorry to interrupt . Go ahead . Okay . So
10:27 then we do the R . R . E .
10:28 F . Thing in the matrix and we got um
10:33 the inverse staying with the prices for the Children and
10:38 adults . But but then we got this extra on
10:40 the bottom because we had three sort of two ,
10:45 we only need to find two things . Okay ,
10:47 Hold on one second there . So the other I
10:50 . Worthy identity is what you found . Um Can
10:53 you guys raise your hand if you use three equations
10:57 to help you find the ticket prices in question one
11:02 ? Why not ? You only need to . Okay
11:07 so Lauren's going to kind of talk us through how
11:10 her group kind of came to that decision . So
11:12 did you work with the three equations first ? I
11:15 don't remember somebody . Somebody in your group did the
11:18 three equations and they tried it out on the calculator
11:20 . They did the reduced row echelon form there .
11:23 And and if you guys noticed she pointed out that
11:26 there's just an extra row of information in that answer
11:28 that was given to him . Kind of like what
11:31 you're saying ? You don't need that third equation .
11:33 You really have some extra information . Okay keep going
11:35 sorry . And then we did it was just two
11:40 things we didn't get an extra And we got the
11:43 same 4 10 With the identity . So the child
11:48 is $4 and there is $10 . Cool And mandy
11:53 . Do you want to talk to us about how
11:54 you started off with one equation ? Yeah I tried
11:58 it with just the first day and I got just
12:02 two answers and they were all decimal numbers . And
12:05 what did you try with ? The first day ?
12:07 I tried 14 4 96 . In the matrix .
12:11 Okay so what size matrix did you work with ?
12:14 I did a one by three . Okay and you
12:18 said 14 4 and 96 . So that first row
12:22 of information she made a tiny little augmented . And
12:26 do you remember what it said ? Um It said
12:29 one point something and then six point something . So
12:33 weird stuff . Yeah . Okay could we figure out
12:37 the ticket prices with just one equation ? Mhm .
12:42 Fisher says yes you can do it with just one
12:46 but it's easier if you have to . Okay or
12:48 even three . Okay and Ashlyn you first circled something
12:53 on your paper . Um The one the which april
12:57 day had the one on it april Okay . And
13:01 what were you what did you tell me about if
13:03 there was just the one there ? How did you
13:05 think you could proceed ? Remember ? No . Okay
13:10 . Can anybody think why that day might be an
13:13 important day to work with ? If that was just
13:15 the one thing that you had , if you just
13:18 had one day's worth of information could you figure it
13:20 out ? Okay . That's cool . That will move
13:31 on . Did anybody get different ticket prices than four
13:34 and 10 ? Okay poster for number two . Who's
13:38 got a poster for number two ? Right Thank you
13:45 , poster number one mm right up next to it
13:52 would be great . Okay , so for problem ,
13:57 number two , you had to add up all the
14:00 totals for everything . So if you added up all
14:02 the number of the Children's tickets , it was 43
14:05 . If you added all of them for the adult
14:06 tickets , it was 60 . And then we just
14:09 plugged in to see if it'll work um $10 for
14:13 the adult tickets , like right There and then the
14:16 $4 for the children's tickets And it worked as 172
14:21 600 . Cool , cool . Thank you . Um
14:25 I saw some other groups do something different for that
14:27 second problem . Um Did anybody try to solve a
14:32 new system of equations on problem too ? You have
14:35 one equation . Everybody just plugged it in , substituted
14:40 in to test it out . Yeah , go ahead
14:45 long . And what do you do ? I just
14:47 took the like , I don't know . I guess
14:50 I did a long equation where I did 14 and
14:53 then like so in parentheses like 14 times for parentheses
14:57 plus parentheses to and then like continued on . So
15:01 it was like at all of them up and then
15:04 added each one individually instead of doing the total first
15:07 and then multiplying by four . Cool . Got it
15:10 . Thanks . Thank you for sure . Any questions
15:12 on two ? Okay , poster for three . Do
15:15 we have a poster for three ? Come on up
15:19 . You can put it over that matrix in the
15:22 middle . All right . So what we did was
15:27 we doubled the first day . So like the first
15:30 day was 14 C plus four equals 96 . And
15:34 then we saw that would give us 28 c plus
15:36 a goes 192 . And then we tripled the second
15:41 day and it gives us 60 and 66 A .
15:44 And then the total 6 84 . And then we
15:47 put that into a augmented matrix and then did the
15:51 R . R . E . F . And then
15:52 got 10401 10 . So what did that tell you
15:58 that the ticket prices would still be the same ?
16:02 Cool . Cool . Thanks . And and matty .
16:07 You doubled both didn't you ? Double both days .
16:09 And how did it work out ? Um It didn't
16:12 work , it didn't work okay so this is what
16:15 I would like you guys to do and and I
16:17 want to double check Maddie's work here . So i
16:20 if we take these first two days worth april 1st
16:23 and april 2nd and double the first day and double
16:26 the second day . Could you take two minutes right
16:28 now and double both and then check the system and
16:32 see how that turns out . And it worked out
16:35 . Okay . What method did you use ? Did
16:37 you use elimination ? So she didn't do it on
16:40 the calculator matty . So maybe that could be our
16:43 discrepancy . Okay , how about we take two minutes
16:46 , everybody check doubling both . Okay , take two
16:48 minutes . And if we get something kind of kind
16:51 of wacky that we don't expect , raise your hand
16:53 and let me know . Are you done ? Did
16:56 you double up where you doubled one and tripled this
17:03 one ? So right now you're supposed to be doubling
17:06 both and checking , Doesn't it not work ? Just
17:09 because this one says triple for this day . Right
17:13 . And so that is what the wording is saying
17:15 ? But Maddie started doubling . And I thought that
17:17 that was interesting to take a look at . So
17:19 it is a little bit different than the instructions .
17:21 So we're just checking that out . Yes , sir
17:24 . You got it . So it works . Okay
17:27 . What method did you use ? Elimination or the
17:29 matrix ? OK . And it still came out four
17:32 in 10 . Okay . Okay . Matty . Are
17:36 you trying it again ? Uh a in verse .
17:43 Okay . And it worked weird . Maybe it was
17:47 just something that was entered in a little bit of
17:49 funny way Anybody getting something strange other than four and
17:52 10 , it's working . Okay . Okay , so
17:57 let's have our creative story team coming up actually before
18:01 that . Sorry , I forgot . Um so when
18:03 I was talking to Michaela before about this question number
18:06 three that we're on , um you wanted to share
18:09 what you said ? Like why would it not matter
18:12 what we did to the equations ? Um It doesn't
18:14 matter as long as you do it on both sides
18:17 of the equal sides , because if you only do
18:18 it to one , then your problem will be off
18:21 . Okay . What do we call that ? When
18:22 we do something to both sides of the equal sign
18:26 , anybody ? Remember property of equality , Property of
18:29 equality . We got it . So that's exactly right
18:32 . We could be doing anything like adding up the
18:34 first seven days of the week and we're still going
18:37 to get those same ticket prices because we're adding the
18:40 same thing to both sides of an equation or if
18:43 we're doubling both sides of an equation or tripling both
18:45 sides of an equation , we're not really changing the
18:48 solution to that system . So Very cool , awesome
18:50 . Alright story , come on up here please .
18:53 And then if some of you have some exciting story
18:55 you'd like to share also , that'd be great .
18:58 So we had some weird information from April April six
19:03 had a negative number . Okay . And some of
19:05 you noticed that right away and said how could that
19:07 be possible ? So let's hear a couple of possible
19:09 explanations . Okay What do you got Carly . So
19:12 we thought maybe that somebody somebody reserved five tickets but
19:18 never picked them up so and then the movie theater
19:21 was never able to sell them . So they were
19:23 out five tickets . Very nice . Thank you .
19:25 Any other explanations . There were a couple of good
19:27 stories . What's the story ? Didn't you have one
19:30 about a prize ? Yeah . What was it ?
19:33 Nice ? The school would give away five tickets to
19:36 students as a prize prize . Okay and so that
19:39 would be why would it be negative then ? It's
19:42 like not gaining any free ? They're free , they're
19:45 not getting anything , nobody's paid for it . Cool
19:48 . And that back group you had a similar story
19:51 . Okay . What was what was your situation there
19:53 ? Sequoia ? You want to tell us on the
19:55 sixth of april five adults , 15 movie . Tix
19:57 tickets in a raffle . And then on the same
20:00 day the four Children went with parents to the movie
20:04 and they had to pay for the Children but not
20:07 the parents . Okay , so we had a negative
20:09 five because they were also free . Cool . Okay
20:11 , so to kind of tie this up on that
20:13 last question , could you just make up any data
20:17 that you wanted ? Yeah , because the ticket prices
20:26 stick to the table and what was that ? The
20:28 ticket prices never changed , ticket prices never changed .
20:31 So this group chose one and one and then two
20:34 and to another group chose one and one and two
20:38 and two . Which was strange that you chose the
20:40 same thing , but you could have chosen anything in
20:43 the world as long as you kept those same things
20:45 . Okay , so a couple of things that I
20:47 want you to write at the bottom of the purple
20:48 paper to kind of tie this up um And what
20:51 really goes back to all these different things that you
20:53 did um As long as we are doing these same
20:57 operations to both sides of the equation , using our
21:01 properties of equality , we're going to have a system
21:04 that has the exact same solution . Okay , so
21:07 if we use the properties of equality , I don't
21:16 know if you can read this , this solution to
21:20 the system will not change . Alright , so take
21:29 a minute copy that down and then I want to
21:33 show you one more thing on the computer screen .
21:38 Okay , so um first of all , it was
21:41 totally impressive that you guys right away started writing equations
21:44 and no other classes that I've done this um did
21:47 everybody immediately start writing equations . That was impressive .
21:50 So , um , great job on that . And
21:52 I have a question for you about those equations .
21:54 What kind of functions are those that you wrote ?
21:57 You wrote about 10 of them in the last half
22:00 an hour . What kind of functions are they mayor
22:09 ? Are they linear ? Yeah . How do you
22:11 know that ? Because they're staying the same . What
22:14 state if you buy one , it's going to be
22:16 $10 to buy two . It's gonna be $20 just
22:18 adding that . Okay , so that rate will stay
22:20 the same . Okay , so linear functions here ,
22:23 I think that's also worth noting linear functions or everything
22:26 that you wrote down today . So before you came
22:29 in , what I did was I took all of
22:31 these possible linear functions from April one , all the
22:34 way to April eight . And I think I even
22:36 put some other information on from possible April nine and
22:39 10 . And I grabbed him . I grabbed all
22:42 of those linear functions and I just want to show
22:44 you really quickly what that looks like . So I
22:49 need to help . Oh my computer take a minute
22:54 . Okay . No , that's all right . So
22:56 while this is loading at the bottom of your purple
22:59 paper , I want you to pretend like you're opening
23:01 your next movie theater on your own and you're gonna
23:04 choose the prices . So pick a child's price and
23:08 pick an adult price because we're going to use that
23:10 in just one second . Okay . Pick a child
23:13 price and an adult price . If you want it
23:16 to be the same as those in your group ,
23:18 that's fine . Say . Okay , so assuming you
23:24 have something written down , Take a look up here
23:26 , just for one second . Take a look up
23:29 here , eyeballs , eyeballs this way . Um So
23:33 this is all of the collection of linear functions from
23:37 april 1st to april 8th and maybe a little bit
23:40 beyond all of these linear functions . What do you
23:42 notice about them ? They are straight , which makes
23:46 sense because they're linear . What else looks like they
23:49 all like me in this day ? They do all
23:52 meet , where do you think this is ? What
23:55 do we call that equilibrium point ? And what is
23:59 it for this story ? $4.10 dollars . Okay ,
24:07 so no matter what we do to these equations ,
24:09 like Michaela said as long as we do something to
24:12 the , to both sides of the equation , okay
24:16 , it might change the way that this is tilted
24:18 a little bit , but that equilibrium point Is not
24:21 going to change . Okay , so that's kind of
24:23 cool , this is kind of a nice visual .
24:25 So if you would take 30 seconds and make a
24:28 really rough sketch of this on your purple paper and
24:32 maybe make a note what this point is that it's
24:35 4 10 . That's our idea of equilibrium that we've
24:37 been talking about . That would be great . And
24:42 I have one more question for you about this picture
24:45 up here . So and what I have , everything
24:49 seems to be kind of tilting this way Except for
24:53 this one line right here . What day is that
24:57 ? Yeah , The faithful April six . The one
25:01 with the negative . Okay , so in some way
25:03 that would that would influence the slope of that line
25:06 . Okay , cool . Alright . So do you
25:08 all have your new chosen movie ticket prices ? Okay
25:12 . So what I'm gonna do is give you a
25:14 blank table now for april 1st through eighth and you're
25:18 going to fill in the numbers of people that came
25:21 to the movie theater , preferably not all zero every
25:24 day . That's not a really great movie theater .
25:26 Um And then fill in the totals . Okay .
25:28 So I'm gonna give you about two minutes to do
25:30 that . So hopefully you have your ticket prices and
25:32 a calculator ready ? I'm gonna give you a new
25:34 table . Okay . Okay . two minutes here to
25:40 fill in your chart , create some data . You
25:47 use your new prices that you selected . Okay .
25:51 Hey , and you're on your chart guys don't put
25:54 the prices on there . Don't put the prices on
25:56 their sorry , sorry , I should have told you
25:59 that you're gonna crumple these up if you put them
26:03 on there . That's all right . Maybe cross it
26:04 out . No , no , no no . The
26:09 you're set ticket prices that you wrote on the purple
26:12 paper . Okay . Even if you don't have your
26:15 table totally filled in , I want you to think
26:17 if you have enough information on that table for somebody
26:21 to figure out the ticket prices um crumple it up
26:25 . So think about how many days worth of information
26:28 you need to make this a successful activity . Okay
26:32 ? And we'll do a three count , check it
26:34 up here to the front board . Okay ? And
26:37 then instead of everybody running up here , okay ,
26:40 let's just send one person from your group and get
26:42 as many snowballs as you need for your group .
26:45 Okay ? So 123 almost hit rent . Okay ?
26:54 Go send one representative up , send one representative and
26:58 get enough snowballs for everybody at your group . You
27:04 choose your method and I want you to solve their
27:07 system . Okay ? Figure out how many days you
27:10 need . Even if the answers are on there ,
27:13 go ahead and take two minutes and solve a system
27:16 . Okay . Use whatever method you want to use
27:20 , go to it bailey . What do you think
27:22 ? How are you going to solve that ? Okay
27:25 . So what you gonna do first make the function
27:29 ? Okay . Didn't you already do that ? And
27:32 now what are you gonna do elimination ? Okay .
27:36 Cool . You're gonna use a Matrix . Cool .
27:39 Alright let's come back together with our discussion . We
27:42 had a couple of interesting cases here . Um Matty's
27:49 testing something out where it looked like . What did
27:52 it look like ? There was a negative ticket price
27:54 , negative 75 negative $75 ticket price . She's going
27:57 to test it out and see if that actually works
28:02 . And then mason had an interesting set of data
28:04 where every day the data doubled , right ? And
28:09 and so what did you get when you were trying
28:10 to solve it ? Zero . Which method did you
28:15 use ? I tried the matrix and I tried elimination
28:19 and neither of them were Okay . What did you
28:21 get with your matrix ? Um 1.4 . No No
28:27 No No one . Yeah like four That 9.4 000
28:36 000 lets you sneezy . So if we have something
28:39 like this okay this is certainly not the identity that
28:43 you were looking for and you said you got zero
28:46 which is like saying zero equals zero . Will there
28:49 be a solution to this system ? Will there be
28:52 an equilibrium ? Uh huh . So so what could
28:56 the ticket prices even be ? I'm serious . zero
29:00 could work . What if you tried $1 dollar one
29:04 and 1 or two and 2 ? That's what I'd
29:07 like you to try some numbers out in there just
29:09 and we'll report back to that on another day .
29:12 Anybody else gets something sort of interesting to take a
29:14 look at $1 $1.1 . And you were not surprised
29:19 where you call ? No . Okay . Cool .
29:22 Well we're at about the five minute mark . And
29:24 what we're gonna do for your homework is two things
29:27 . First of all , I'm gonna give you one
29:29 more task , different theater and this time you're going
29:33 to consider Children's prices , adult prices and then a
29:36 senior price . So think about what you would need
29:40 to solve a system in that situation and what method
29:44 you would prefer to use that . And then also
29:47 if you remember , we're going to have a test
29:49 on this stuff next time . So I have another
29:51 review paper for you as well . Okay , so
29:54 I'm gonna hand out task three which is really related
29:57 to this . And if you think right now about
30:00 what you're gonna need to solve something for those three
30:03 different pieces of information , um you might need something
30:06 that's in this classroom to help you do it ,
30:09 hint , hint , hint calculator , so I'll go
30:11 ahead and pass those out . And if I were
30:13 you , I'd probably get started on that paper First
30:15 . It's green and then I'll pass out the review
30:18 paper . Okay ? Yeah . Great job . Please
30:23 do the green and follow up with your studying for
30:25 friday and bring your triangles back . All right .
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High school math lesson on problem solving.

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High School Math Story Problems is a free educational video by .

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