High School Algebra - By
Transcript
| 00:0-1 | Mhm . All right , so let's go from here | |
| 00:06 | and actually kind of transfer over to how this relates | |
| 00:10 | to what we're doing today . Okay . And the | |
| 00:13 | first part of it is that we're actually gonna do | |
| 00:15 | kind of a review of how simplifying expressions . I | |
| 00:18 | know that Abby you haven't done it before and chorus | |
| 00:21 | . You can use hospitals a lot either , have | |
| 00:23 | you ? Okay , So the good thing about it | |
| 00:25 | , I got everybody paired up what actually people that | |
| 00:28 | have done it before , so that way they can | |
| 00:30 | help you figure it out . Okay , the first | |
| 00:33 | thing is somebody explained to me what you do with | |
| 00:37 | algebra towels , pull that out of the town and | |
| 00:39 | tell me what they are and what they represent , | |
| 00:42 | right ? Might raise your hand , let me know | |
| 00:44 | . It's just one . Hello ? Go ahead . | |
| 00:49 | So this is why this is why squared and it | |
| 00:53 | just fits all around the edges so it makes y | |
| 00:55 | squared . Ok , So basically she said that why | |
| 01:00 | on one side and white on the other side . | |
| 01:03 | So you have this this is why here this is | |
| 01:06 | why here . Okay . So basically now we're gonna | |
| 01:09 | find the area . How you find the area . | |
| 01:11 | Uh huh . What about the science ? Right . | |
| 01:16 | Good . So left times with All right . So | |
| 01:18 | then based on this is Y . Times Y Y | |
| 01:21 | . Times Y . Is y squared ? Okay . | |
| 01:25 | So that's why this town pieces Y squared . Another | |
| 01:27 | piece uh Anthony . What do you have there ? | |
| 01:30 | Ex hold it up and see what you got wounds | |
| 01:33 | . Yeah . one positive . 1 negative . Okay | |
| 01:36 | . Which one's positive or negative ? Blue spots of | |
| 01:39 | let's negative . Okay . Alright good . Thank you | |
| 01:43 | . And we got another one for the Marius . | |
| 01:45 | What do you have a square ? We already the | |
| 01:48 | wide square you piggyback off . That's what that's what | |
| 01:52 | Oh you did Y squared . Yes . Xy did | |
| 01:55 | that . Good . Looking around . Let's see the | |
| 01:57 | color green . That's why I'm an Xy now . | |
| 02:01 | Why is it X . Y . Why is it | |
| 02:03 | X . Y . Um I'm just I don't know | |
| 02:08 | . I forgot like uh bye mm . Oh why | |
| 02:15 | is it why is this Xy ? Why why how | |
| 02:18 | do we get Y squared here ? You multiply 22 | |
| 02:22 | wise . Multiply the two wives . What is the | |
| 02:24 | to what uh the two sides ? Two sides . | |
| 02:29 | All right . So then what we do ? What | |
| 02:30 | is this here then ? What's this telling you the | |
| 02:32 | same thing ? Um As the one we uh multiplied | |
| 02:36 | decides good X . And Y . X . And | |
| 02:40 | Y . Good . So that would that would mean | |
| 02:41 | that what what would it be a little silence of | |
| 02:44 | this ? X . And Y . X . And | |
| 02:46 | Y . X . And Y . Good . So | |
| 02:48 | then show me the exhale again , Anthony . Okay | |
| 02:55 | wow . So what do you notice one side ? | |
| 02:59 | Um if it's Fits on one side ? OK . | |
| 03:03 | Suicides . Does it feel on the top ? You | |
| 03:06 | know why ? Because this that's why it is shorter | |
| 03:10 | . Okay that was shorter . The shorter one is | |
| 03:12 | the ex the longer one is the wise . Like | |
| 03:16 | like well um arias has exactly . Okay he did | |
| 03:19 | the white side . Okay so we got this one | |
| 03:21 | figured out . We got this one we got another | |
| 03:23 | piece of a couple of pieces that we haven't figured | |
| 03:25 | out it wasn't discovered . Okay . Mhm . Okay | |
| 03:31 | . Yes . What is that 1 ? X . | |
| 03:33 | Squared ? How's it X . Squared . Because you're | |
| 03:36 | multiplying the two sides the two sides ? Corey's do | |
| 03:39 | you see what he's saying ? Okay Cody you got | |
| 03:42 | it . Yeah but you understand that ? I like | |
| 03:44 | that you're discovering your pieces . They're looking through them | |
| 03:46 | and that's fine . Um And then you have the | |
| 03:50 | way we did X . X . Y . Y | |
| 03:53 | . X . Squared . I mean why square ? | |
| 03:54 | Excuse me . And what about these the small ones | |
| 03:58 | ? Wait what do you think ? Five minutes ? | |
| 04:01 | Five minutes ? Why is it five minutes ? Mhm | |
| 04:04 | . Side of these on one of them . Yes | |
| 04:07 | and josh is pointing out that normally we don't use | |
| 04:10 | the five units . Uh We like we don't we | |
| 04:13 | don't say never but you know we were but we | |
| 04:18 | haven't been using them . You're right . Um But | |
| 04:20 | and the reason why is that we like to use | |
| 04:22 | the single unit towns instead of using other one ? | |
| 04:24 | Okay . All right . Yes . And questions like | |
| 04:28 | we don't use these because they don't fit on others | |
| 04:30 | . Like it doesn't go no . The reason why | |
| 04:34 | we don't use it because you know how we you'll | |
| 04:36 | see when we start simplifying and splitting . You can't | |
| 04:39 | break those pieces apart . So if you have to | |
| 04:41 | subtract from that five units they'll take all the way | |
| 04:45 | you have to take all of it away and then | |
| 04:46 | bring up . So you don't have to bring out | |
| 04:47 | five unit towns . Anyway I'll bring out individual unit | |
| 04:50 | towns anyway . It doesn't fit on then . That's | |
| 04:54 | a good observation . Excellent . So you're picking up | |
| 04:56 | on the quick . I have a good good good | |
| 04:58 | but inside what like to elaborate on that a little | |
| 05:06 | bit . Mhm . Oh wait I know how he's | |
| 05:10 | saying . He said that you can put the piece | |
| 05:12 | on the inside . But that that's true but we | |
| 05:14 | don't know what why squared is worth . Right ? | |
| 05:18 | So that's a good observation . That's good . All | |
| 05:20 | right , so let's move on to now . How | |
| 05:22 | do we use using the Mets ? These are here | |
| 05:25 | our equation . That's okay , go ahead , explain | |
| 05:29 | it . I'm sorry the equation maps are like these | |
| 05:32 | are like the positives of like plus signs and these | |
| 05:34 | are negatives and then this is like The divide one | |
| 05:40 | , right ? And this is equal . I give | |
| 05:42 | like right here , that's equal . You're right . | |
| 05:46 | So , did you get that Abby ? You get | |
| 05:48 | the chorus . Okay . So what's in the middle | |
| 05:52 | ? It's all good . Good . And then the | |
| 05:54 | positive and we have the negative size . Right ? | |
| 05:58 | All right , good , good . So tell me | |
| 06:01 | period since you have a matte right there . If | |
| 06:03 | I put this equation now , okay , I'll make | |
| 06:06 | it easy for you . First one X squared plus | |
| 06:10 | Y squared plus three X squared . Remember do I | |
| 06:23 | have an equal sign here ? So , am I | |
| 06:25 | asking the song just simplifying ? Good . So all | |
| 06:29 | we're doing is simplifying ? Oh , all right . | |
| 06:35 | Look , look at uh Amber . Here , do | |
| 06:39 | you like do these go on this side because I | |
| 06:41 | get that mixed up sometimes . Good question . She | |
| 06:44 | asking that she changed size . Now tell me you | |
| 06:47 | told me what's that medal mean ? Equal . Oh | |
| 06:51 | , so okay . That's all . There you go | |
| 06:56 | . Yeah . Is that because there is because you | |
| 06:59 | have one X square . Here's the one and it's | |
| 07:03 | all positive . So so everybody go ahead and do | |
| 07:05 | it at your table . Work out the same one | |
| 07:07 | . Do this one on the board . Just time | |
| 07:10 | out just for a second . Give him a chance | |
| 07:11 | to catch up with you . Everybody get the towels | |
| 07:14 | out . Maurice , let congress has some of the | |
| 07:18 | towels too . Is that what ? He can be | |
| 07:19 | an active participant ? Come on . Mhm . Donald | |
| 07:28 | shit . Everybody . Every every groups will have a | |
| 07:35 | chance to explain . Uh mm . Uh huh . | |
| 07:44 | Okay . Yeah , we're good . All right , | |
| 07:49 | go ahead . And uh So there's one next square | |
| 07:56 | . So here's your one then plus Y squared too | |
| 08:01 | . Here's this . Okay . And then your three | |
| 08:04 | X squared . So I have three right there but | |
| 08:06 | none of them are negative . So I leave it | |
| 08:09 | on the color and I leave them on the positive | |
| 08:11 | side . Okay so now I want you to on | |
| 08:14 | your expression that excuse me on the expression I want | |
| 08:17 | you to write what the new expression is on your | |
| 08:23 | expression man . I want you to write what a | |
| 08:24 | new expression is right now . What you mean when | |
| 08:28 | you simplify this just right right down you're gonna do | |
| 08:32 | written expression you're gonna write with this new expression when | |
| 08:35 | you simplify your you rewrite it . What do you | |
| 08:38 | write down here josh ? Help your partner . We | |
| 08:43 | got it . Mhm . Because I think I think | |
| 08:50 | I understand it now . Okay go ahead . You | |
| 08:55 | said you get it ? So you have this one | |
| 09:01 | ? Well good question which one did you tell Anthony | |
| 09:06 | is positive negative positive ? Why is it positive Because | |
| 09:12 | it's purple ? And what's the negative ? Red , | |
| 09:15 | red ? Just think that it's hot and negative no | |
| 09:18 | bad whatever . Okay and then you have four good | |
| 09:26 | so two X . And another two X . No | |
| 09:31 | wait no one X . And one X . Is | |
| 09:34 | to it keep talking . And then three how she | |
| 09:41 | explained it . Okay . All right . Somebody help | |
| 09:43 | her out . How about piano ? Yeah four x | |
| 09:53 | . 4 . Oh oh . How many like four | |
| 09:59 | extra to do that ? Square . Four . Uh | |
| 10:03 | huh . Four X . Squares us . Coy . | |
| 10:11 | Okay so she's had four X . Squared plus Y | |
| 10:15 | squared . Okay so then remember we went back and | |
| 10:19 | we said just a quick review and I look up | |
| 10:24 | that if you want to go ahead and circle if | |
| 10:26 | you need to or if you have the towels you | |
| 10:29 | bring the light terms together . Right ? Remember simplifying | |
| 10:33 | we won't bring light terms together so we can circle | |
| 10:36 | the X . Squared . Circle the three X . | |
| 10:39 | Squared and say , well these two come together right | |
| 10:42 | , right X squared plus three X . Where the | |
| 10:45 | 10 minutes four come on foursquare There we go . | |
| 10:50 | Four squared . Do we have anything else to go | |
| 10:53 | with ? The Y squared ? No . Plus Y | |
| 10:56 | squared . All we did is simplify that . Simple | |
| 10:59 | . Okay . All right , good thing about I | |
| 11:02 | give you paper , I gave you some paper towels | |
| 11:03 | . You can wipe off your mad let's get started | |
| 11:07 | . Uh huh . |
Summarizer
DESCRIPTION:
High school algegra lesson related to MA Curriculum Frameworks Mathematics Standard A-SSE.1 (Interpret expressions that represent a quantity in terms of its context). The activity required of students was combining like terms â a concept which is first introduced in 6.EE.4. T. Teacher introduces Algetile pieces.
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