YT YouTube2Text

YouTube2Text → Transcripts → Teaching Tennessee: 7th Grade Math Lesson 1

Teaching Tennessee: 7th Grade Math Lesson 1 — Transcript

by TNDeptofEducation · 3,190 words · 444 segments · language en · Watch on YouTube

Open in transcriber Summarize with AI Download SRT/VTT

Full transcript

0:00[Music]
0:10hello welcome to Tennessee's at home
0:12learning series for math today's lesson
0:15is for all of our seventh graders out
0:16there though all children are welcome to
0:18tune in this lesson is the first in our
0:21series my name is Kayla Anderson and I'm
0:24an eighth grade teacher in Tennessee
0:25Schools I'm so excited to be your
0:27teacher for this lesson welcome to my
0:29virtual classroom today we will be
0:31learning about creating and evaluating
0:33expressions to analyze real-world
0:35situations in mathematics before we get
0:38started to participate fully in our
0:40lesson today you will need paper pencil
0:44and a surface to write on okay let's
0:49begin today we will be reviewing
0:52expressions and how they can help us in
0:55the real world to reach a solution
0:57recall the difference between
1:00expressions and equations so I'm gonna
1:03write some vocabulary words and their
1:05definitions on the board it may be a
1:07good idea for you to go ahead and jot
1:09down those words in their definition
1:10somewhere on your paper so that you have
1:13them to refer back to as the lesson
1:15progresses because they will not be on
1:17the board the entire time so again we're
1:20going to be recalling the difference
1:22between expressions and equations so
1:25your first vocabulary word is
1:28expressions
1:35on your second vocabulary word is
1:38equations so recall that the main
1:45difference between an expression and an
1:47equation is that expressions do not have
1:50an equal sign
1:51whereas equations do have an equal sign
2:06and I think that's the equ a in the word
2:12equations and the equ a in the word e
2:17all can help you to remember that
2:19equations do have an equal sign so to
2:22pause for just a second so that you can
2:23write all definitions down if you'd like
2:25to
2:34to accompany those oh cab you Larry
2:37words and the definition that we have
2:38there let's also write some examples so
2:41because an expression does not have an
2:42equal sign something like 3 X or 4 y
2:48plus 6 those are two examples of
2:52expressions because they do not have
2:54equal signs examples of equations would
2:57be taking these expressions and having
3:01an equal sign and something on the other
3:02side so 3x equals 7 or 4y plus 6 equals
3:103y plus 2 these two are equations
3:14because they do have equal signs whereas
3:17this one is an expression because it
3:18does not have an equal sign so I'll
3:20pause for a second in case you'd like to
3:22write those down
3:34so the third vocabulary word that we're
3:36going to add is variable and remember
3:43that a variable is just a placeholder
3:45for an unknown value
4:04typically we use a letter to represent a
4:08variable so in the expressions that we
4:10have here X is the variable and Y is the
4:14variable they're letters that represent
4:16an unknown value in our equations again
4:19x and y are the variables they're
4:23they're placeholders for values that we
4:26don't know if you'd like to raise some
4:28additional examples of variables out to
4:30the side here you could use X you can
4:33use Y you could use and really any
4:36number aramis cute excuse me any letter
4:38it's going to be a placeholder for that
4:40unknown value so you want to jot any of
4:42them down go ahead and do that
4:50okay so have you ever wondered how you
4:53could save money and make sure you have
4:55enough minutes and text to talk to your
4:57friends writing expressions to model
5:00real world problems can be very powerful
5:02and helpful in making decisions let's
5:05take a look at an example John's father
5:07asked him to compare several different
5:09cell phone plans and identify which plan
5:11will be the least expensive for the
5:13family
5:14each phone company charges a monthly fee
5:16but this speed doesn't cover any
5:19services like phone lines texting or
5:22internet access we're going to use the
5:24information given in this table to
5:26answer some questions it's go ahead and
5:31take a look at the table you'll notice
5:33that we have three different companies
5:34to choose from and that we are
5:37discussing monthly fee price per phone
5:40line price per line for unlimited
5:42texting and price per line for internet
5:45access we're going to use expressions to
5:47save money while still getting the best
5:49phone plate all the members of the
5:52family may not want identical plans
5:54therefore we're going to let X represent
5:56the price per phone line y is going to
6:00represent the price per line for
6:02unlimited texting and these going to
6:05represent the price per line for
6:07internet access let's take a look at
6:14company a company a charges $70 at the
6:18monthly fee for the 1500 shared minutes
6:22company a also charges $20 per phone
6:26line $15 per line for unlimited texting
6:30and 15 dollars per line for internet
6:33access your job is to write an
6:36expression using these variables x y and
6:40z to represent what company a will
6:44charge again it's an expression not an
6:47equation and remember from our
6:48definitions that equations have equal
6:50signs but expressions do not so when you
6:53write your expression for Company A
6:54using the variable
6:55X Y & Z you're not going to have an
6:58equal sign so I'm going to pause and
7:00give you some time to write down an
7:01expression to represent what company a
7:03will charge
7:42okay so let's take a look at what you
7:44were able to come up with for company a
7:46so to represent company a's to write an
7:49expression for company a i am going to
7:51have a seventy dollar fee for the 1500
7:56chair minutes plus $20 for every line
8:02for every phone line which I'm going to
8:04use X to represent plus 15 dollars per
8:10line for unlimited texting or using the
8:12variable Y for that plus 15 dollars per
8:16line for internet access and we've used
8:19Z so your expression should be seventy
8:23plus 20 X plus 15 y plus 15 Z does yours
8:29match that good remember that your terms
8:34may be in a different order because
8:36addition is commutative which means it
8:38doesn't matter what order we add these
8:40things in as long as we have the same
8:42terms we're going to get the same answer
8:45so let's analyze this really quickly
8:47just to make sure we understand what
8:48these pieces represent again $70 is just
8:51that fee that you're going to pay for
8:53the 1500 minutes that you're sharing $20
8:57is the price for every line and we're
8:59using the variable X to represent that
9:03$15 is the price per line for unlimited
9:06texting which we're using the variable Y
9:08to represent and $15 is the price per
9:11line for internet access which we're
9:12using the variable Z to represent okay
9:17so now we're going to do that same thing
9:18again but this time we're going to write
9:21an expression for Company B so if we
9:22take a look at the chart
9:24Company B charges $90 for that 1500
9:27shared minutes
9:28Company B charges $15 per phone line ten
9:32dollars per line for unlimited texting
9:35and $20 per line for internet access so
9:39your job this time is to again write an
9:42expression which won't have an equal
9:43sign using variables XY and Z and to
9:47represent Company B if you need to you
9:50can look back at the expression that we
9:51wrote for company a to help you out go
9:53ahead and try that now
10:32all right let's take a look at what you
10:34did for Company B so the monthly fee for
10:40Company B is $90 plus $15 per phone line
10:49plus $10 for unlimited texting plus $20
10:58per line for internet access so for
11:02Company B you should have 90 plus 15 X
11:05plus 10y plus 20 Z okay and remember
11:11keep in mind that this is commutative
11:12which means if yours is in a different
11:14order it's okay as long as you have
11:15those same terms okay so we have one
11:22last one to do and this time we need to
11:25write an expression to represent Company
11:27C so we take a look at the chart company
11:29C charges us $200 for those 1500 shared
11:33minutes Company C also charges us $10
11:36per phone line however company sees a
11:39little bit different because the price
11:41per line for unlimited texting and the
11:44price per line for internet access are
11:45both included in the monthly fee so your
11:49job again is to write an expression for
11:52Company C using the variables XY and Z
11:55in order to represent what they're gonna
11:57charge us now be careful with this one
11:58it's a little bit trickier since these
12:01two since these two options are included
12:03in the monthly fee I'm going to pause
12:05and let you go ahead and write an
12:06expression for Company C
12:41all right let's take a look at what you
12:43were able to come up with for company C
12:44so for company C we do have a two
12:47hundred dollar monthly fee for those
12:481500 share minutes so two hundred plus
12:53we're also gonna pay ten dollars per
12:56film on but this time the line for a
13:01limited texting the price for unlimited
13:02texting and the price for internet
13:03access are both already included in that
13:05monthly fee so we're not going to have a
13:08Y or Z variable in this one because
13:11they're already included so it shouldn't
13:13you should have two hundred plus 10x
13:16okay so now that we have all of our
13:19expressions we're going to use them in
13:20order to analyze the different scenarios
13:23so let's see which plan is best for our
13:27certain same scenario so we're going to
13:29have let me jot this don't worry we're
13:32going to have for people who want phone
13:35lines so for phones we're going to have
13:43for people who want unlimited texting so
13:46for for texting and we're going to have
13:52two people who want internet lines and
13:59we're gonna use the three expressions
14:00that we just wrote in order to figure
14:02out which one of these companies is
14:04going to be the best one to go with for
14:07our specific scenario so I'm gonna help
14:10you out with company and you just start
14:12out with so let's go back to our
14:14expression for company a again it's an
14:17expression got n equations and there's
14:18no equal sign so this section is solved
14:21so for company a we're gonna have a
14:25seventy dollar fee for the 1500 shared
14:29minutes plus 20 dollars for every phone
14:33line and we want we're gonna have four
14:36people that want phone lines plus
14:39fifteen dollars for everyone with a
14:43limited texting we also have to work on
14:45those plus
14:48fifteen dollars for every line with
14:51internet and we're going to have two of
14:53those so before we move on with the math
14:56let's make sure you understand where
14:57these numbers came from seventy dollars
14:59for that one thousand five hundred
15:01cheered minutes twenty dollars per phone
15:04line we have four of them
15:05fifteen dollars per line for a limited
15:08texting we have four of those as well
15:10fifteen dollars for everyone with
15:12internet access and we have two of those
15:14so now that we've substituted some
15:17values for our variables we're going to
15:19go ahead and do the math so we've got 70
15:22plus 20 times 4 which is 80 plus 15
15:28times 4 which is 60 plus 15 times 2
15:33which is 30
15:44and then adding all of those together we
15:47figure out that company a is going to
15:49charge us two hundred and forty dollars
15:52so for this specific scenario using
15:55Company A we would have to pay two
15:56hundred and forty dollars okay now what
15:59I'd like for you to do is using this
16:01same scenario figure out what it's going
16:03to cost us to four to use Company B so
16:07you can look back what we did for
16:08company a if you need some help gonna
16:10pause now while you try out company
16:56alright let's go ahead and see what you
16:57write look I'm up with four Avenue B so
17:02for Company B we know that section is we
17:06know that we have the $90 that we're
17:09going to have to pay for the 1500
17:11minutes plus 15 X X in this case
17:16represented the price per phone line and
17:18we do want four phone lines so we're
17:20going to substitute for in place of that
17:22X plus $10 for every line of unlimited
17:28texting which was y and we do have four
17:32of those who are on place Y with 4 and
17:34then plus $20 for every line with
17:37internet access and we did want two of
17:40those so we're going to replace Z with
17:43two so $90 for them 1500 chaired minutes
17:4815 dollars for every line we have four
17:51lines $10 for every line with a limited
17:54texting we have four lines with texting
17:56and then 20 dollars for every line with
18:00internet access and we do have two of
18:01those hey so when we do the math we're
18:07gonna have 90 plus 15 times 4 which is
18:1016 plus 10 times 4 which is 40 plus 20
18:17times 2 which is also
18:27okay and so adding all those together we
18:30do come up with two hundred and thirty
18:33dollars so Company B would charge us two
18:36hundred and thirty dollars in this
18:37scenario so the last thing to do now is
18:40to figure out for this particular
18:43scenario
18:43what is Company C in a charge us I'm
18:45going to pause while you figure that out
19:16okay so let's check your work for
19:18company seat so company see we have two
19:22hundred plus ten X so we have two
19:25hundred dollars for those 1500 minutes
19:28that we're sharing plus ten dollars for
19:31every line which was X we know that we
19:33want for phone lines so we're gonna
19:35substitute for in place of X when we're
19:39talking $200 for the 1500 shared minutes
19:42ten dollars for every line we do have
19:45four lines so we do the math here 200
19:51plus 10 times 4 which is 4200 plus 40
19:57gives us 240 dollars okay so now we've
20:05done the math we figured out what all
20:07three of these companies will charge us
20:08for this scenario which company should
20:10we choose and why if you think somebody
20:16B you are correct company a and Company
20:19C are both gonna cost two hundred and
20:21forty dollars all Company B only costs
20:24two hundred and thirty dollars so we're
20:25gonna save $10 by choosing Company B
20:28good work so now we're going to have now
20:36we're gonna have another scenario for
20:38you to practice with all right so you
20:46didn't though same expression that we
20:49used before we have a different scenario
20:50this time so this time we are going to
20:55have four people that want fauxmance so
20:58for four months we're gonna have four
21:05people that one texting and then
21:12everybody is also going to want internet
21:13so how many phones are with Internet of
21:15unity yep we need four of them so for
21:19internet so for this scenario for five
21:22months for texting for internet okay
21:27so I'm gonna worry about company a and
21:31you work along with me and then I'll
21:32give you a chance to work out Company B
21:34and Company C to figure out which one of
21:36these works better so we're using those
21:39same expressions that we came up with
21:41for our scenario before so for company a
21:44that was 70 plus 20 X plus 15 y plus 15
21:57Z
21:58okay so we're using that same expression
22:01remember it's an expression so it
22:02doesn't have an equal sign
22:04this time we want for plug months we
22:07have this $70 fee for the 1500 minutes
22:13$20 for every line and we have four
22:15lines plus fifteen dollars for unlimited
22:19texting we have four people that want in
22:21the minute texting plus fifteen dollars
22:24for everyone that wants internet and we
22:26have four people that want internet
22:28anapana so you can jot that down okay
22:35so doing the math here we come up with
22:3770 plus 80 plus 60 plus 60 when we add
22:44those together we do come up with a
22:48second double check myself when we come
22:50up with when we add those together we do
22:52come up with 270 dollars so for four
22:56lines for texting for Internet company a
22:59is gonna charge us two hundred and
23:00seventy dollars so now what I'm going to
23:02do is pause so that you can work out
23:04what Company B is going to charge for
23:06this situation if you need some help
23:08look back at what we did for company a
23:09while you're working I'm going to go
23:11ahead and write the expression up here
23:12so that we're ready to go
23:44okay so just like we did with company a
23:46we have the $90 fee plus $15 per line
23:51move four lines plus $10 per line for
23:55texting we have four people to love
23:57texting and $20 per line for Internet
24:00and we have four people that one
24:02internet so the back 90 plus 60 plus 40
24:09plus 80 and that does give us two
24:19hundred and seventy dollars so Company B
24:22is also gonna cost two hundred and
24:24seventy dollars last one here is Company
24:26C you need to figure out from this
24:28situation what company C is gonna charge
24:30us I will pause while you figure that
24:32out while you're working I'll go ahead
24:33and write the expression
24:50so we are going to do 200 plus 10 X in
24:53this case so 200 for the 1500 minutes
24:58plus $10 for every line do you have four
25:00lines doing the math that gives us 200
25:04plus 40 which gives us 240 dollars okay
25:14hope you got that one all right so now
25:19that we've figured out what each of the
25:21three companies is going to charge us
25:23for four phone lines before texting and
25:25for Internet which company would you
25:27choose for this situation and why you're
25:32right you should choose company C you
25:35can save $30 by choosing company C in
25:38this case good work everybody
25:41so I hope that you were able to see how
25:43expressions assist us to make good
25:45choices in the real world these are
25:47skills that you will continue to use
25:48throughout your life today we were
25:51reviewed creating and evaluating
25:53expressions to analyze real world
25:56situations we review that the major
25:58difference between an expression and an
26:00equation is that equations have equal
26:02signs while expressions do not we also
26:05reviewed that a variable is just a
26:07placeholder for an unknown value even
26:08that most of the time traditionally we
26:11use letters for variables I hope you're
26:14seeing some connections to equal groups
26:16and repeated addition in multiplication
26:18you really did a good job today after
26:20the video you will have some problems to
26:22practice on your own good luck and do
26:25your best
26:26[Music]

About this transcript

This page contains the full transcript of Teaching Tennessee: 7th Grade Math Lesson 1 by TNDeptofEducation, generated from the public captions YouTube serves with the video. The transcript has 3,190 words across 444 segments, with the original timestamps preserved so you can click any line to jump to that moment in the embedded player.

What you can do with it

Use the transcript to take notes, quote the speaker, build a study guide, generate a summary with ChatGPT or Claude via the YouTube Summary tool, or export it as a timed subtitle file with YouTube to SRT. You can also re-open it in the transcriber to translate the transcript into 100+ languages.

Free YouTube transcript tool

YouTube2Text is a free YouTube transcript generator — no signup, no daily limit. Paste any YouTube link and get the full transcript instantly, with timestamps, click-to-jump, translation to 100+ languages, AI prompts for ChatGPT, Claude, and Gemini, and exports to TXT, SRT, VTT, or Markdown.