Alright, six o'clock. Jody's hit record. I'd like to call this meeting to order of the Center Vermont Career Center School Board. It is January 8, 2024. And I'd like to welcome Sonya Spalding to the board as the BUUSD representative. So nice to see you and meet you. I'm Jill Remick. I'm the Montpelier Roxbury appointee on the board. Thank you very much. So, um, can I introduce folks and I'll call on folks to introduce yourselves to Sonya. Okay, great. I'm just going to go in order of what I see on my screen. Floor, do you want to introduce yourself? Hi, Sonya. Floor, yeah. Sonya and I go way back soon. Okay, no introduction. Yeah, and I actually, she's helping in the VSBA right now. She also took my seat at the VSBA. Oh my gosh. After begging. No, because she's awesome. Great. Thanks, Floor. Jason. You know, hi, Sonya. I'm Jason Monaco. I'm from Cabot School. Great. Thanks. Jim. Alright, Jim Elevance from Harvard. Great. Thanks, Jim. And you know Jody. Steph, now you got it. I got you. Hi, I'm Stephanie Olson. I take the minutes for the board. Thank you, Stephanie. Guy. Welcome, Sonya. Great to see you. Lyman. Hi, I'm Lyman Castle. I'm the vice chair and at-large member from Montpelier Roxbury. Great. Thank you. Terry. I'm Terry Steele and I'm the at-large for Washington Central. Thanks, Terry. Jana. Hi. Hi, Sonya. I'm Jana Ossman. I'm the representative from Twin Field. Thanks, Jana. Michelle. Hi, Michelle Lyman. I'm the business manager. You might remember me from BUSD. I was in the business office a few years ago. Thanks, Michelle. And Ashley. Hi, Sonya and Ashley. I'm the Warren Rep on the Harwood Board. Great. Thanks, everybody. Welcome. Thank you so much for hopping on. We were sad to lose Giuliano, although we're not losing him. We're actually gating him as an instructor, which is great news. So thanks for filling in that spot. Does anybody have any amendments that you'd like to see to the agenda? Lots to cover. Jody. I don't really have amendments, but the student that we have, let me know that he had an interview tonight, so he wouldn't be able to attend. And the program that was going to present tonight, the instructor is out sick and reached out over the weekend. So we're not going to be able to do either one of those, unfortunately. Okay. Thanks for the update. And good luck to our student. And it's always more fun to do the program visits in person. So we'll, we'll get another chance. Great. Thank you. All right. So another piece that we do, Sonya, that you probably do as well. We have board agreements and norms. They're just sort of attached to our agenda that we just revisit This is a fantastic board to work with. I've only been a board member of anything for a couple of years. But this is a pretty amazing group, a lot of respect for each other and positive energy towards doing the best we can for our students and staff at the Career Center. But those were included in the packet as well. And Jill is extraordinary. Thank you. You have nothing to compare me to. So I must be doing a great job. The best board chair the Career Center has ever had and it's here to have an existence. I'll say thank you very much. That means a lot. I appreciate that. I'm trying. All right. And it doesn't look like we have members of the public or committee. Thank you so much for being here so that this can be recorded and shared with the public. We really appreciate it. One of our goals as a board is definitely to get the word out. Right. You know, we're sort of this best kept secret right in central Vermont that provides so much incredible training and support for students. Our students have A really great experience here and often can either stay in the community or come back to the community. So the more that we can get the word out about the good stuff happening here, the better. So appreciate that. Okay, next on our agenda. I'm looking for a motion to approve the meeting minutes from December 11 Terry, go ahead. I'm listed as absent and present. That's I noticed that so I just I just caught that as well. I will I will fix that because you were at the meeting. Thanks. That's how powerful you are, Terry. Or not powerful. Like I don't know. I would say you could be in three places at once. You're powerful. So I'll second Terry's motion to approve the minutes. Okay. Thanks. As amended. Any other comments or corrections to the meeting minutes? All right. All those in favor signify by saying aye. Any opposed? Okay, so we have approved our minutes from December. Next up, we do have two executive session meeting minutes that we need a motion to approve as well. I'll make a motion to approve both. Thank you. Do I have a second? I think I was missed on the 12-11 executive session as well. Okay. I don't think I'm listed on there. Did you find that, Stephanie? Okay. Great. Thanks. All right. Any further corrections or comments to the meeting, the executive session minutes? All those in favor say aye. Aye. All right. Great. Thanks, everyone. All right. So as Dodie mentioned, we do have student appointees to the board. There's a student leadership program and they send one and sometimes two students to some of the meetings to sit in and provide perspective. They're really impressive students and it's been a neat addition to the board. So we'll miss them, but an interview is an important thing to be at. And we will do the program presentation on plumbing and heating another meeting. So next up, we have our policies, our second reading of several policies. As a relatively new board, we have a lot of policies to adopt and a lot of them have been sort of amended or largely carried over from the previous governance structure. Were there any particular changes or questions about any of those policies that people wanted to ask about? So, Jill, I just wanted to, we talked with the steering committee about adding a motion before we started the conversation on policy to have, so I would like to make a motion to approve that we have an audit by the VSBA on our policies so that we can get on their schedule in June because they don't do one during the legislative session. So we said we would present that to the board today, so I just wanted to add, we could do it an hour later, but just wanted to add that to our conversation on policy. Okay, great. Thank you. Do I have a second? I can second that. And Sonia? I just had some very basic questions because I was reading it. I've seen all of these policies before, but some of the policies mentioned principal and schools and I wondered if that was going, if those should be revised or if you've already addressed that in a conversation. So these were, you probably recognize them because we just continued them from very unified union school district and when I see those I have updated them and so I would love for you to point those out so we can make those amendments. The other two pieces in this that are important I think are there was a request for the model policy on restraining seclusion, so I included that and there was a request for information about the scholarships that CBCC gives at the end of year awards and so those were included in the packet, they're not linked to the agenda, but they were in that full packet. So those are two components that we may need to talk about. Thank you. So Jodi, my question, do you want to know those now before we pass, before we make a motion to approve them? Yes? Okay. Is it okay if I go through them? Okay. So in A33, the first one, the second bullet has the last word is principal. School visits will follow prior notification to the principal. My question about that one as well was the first bullet is board members will complete background checks. Is that something that happens in other districts and does that just transfer over to this district? Because we're all sending schools, which is a completely separate subject, but also good. I'm staring sort of blankly at Michelle wondering about that. I don't think I had to do a background check to serve on Montpelier Roxbury, so that's a good, that's a really good question. We don't really volunteer or go into the school for anything, we do the background check, but that's a good point. I didn't, for sure. Yeah, so practice as of right now is the only people that have background checks are employees, volunteers, and anybody that's going to be with a student. None of our board members have been background check just for being a board member. So Sonja's question is a good one. Do we want to remove that from the policy if that we're not, we're not planning on carrying out that practice? And I don't know if the SBA has the recommendations about whether that's, it doesn't sound like that standard practice because we've got six different boards represented here. So Jill, I was just gonna, we have a different motion on the floor right now, like maybe we want this finalize the audit and then move into the policies. I was trying to text you, but my texts are not going through quickly. Sorry, because I'm in the office, I didn't make it back home. Okay, so we have a, we have a motion on the floor from the floor that has been seconded to ask the BSBA to conduct a policy audit for us this year. Does that have a cost associated with it? No, no, it doesn't have a cost associated with it. So it's a, it's a service that provide and we could be the first one in the queue for, for June. And I think all of this that is coming up right now will help us. Okay, great. Are there any comments or questions? Well, this may be out of order. But since we're talking about BSBA, I don't know if we ever finished our evaluation process for Jodi. Is that like a dangling piece that we've left out there that we've never completed? That's it. We can, let's bring that in the steering committee. Jenna, and I think they gave you back what we had and what is left is right, the report, but we finalized everything and Jodi was going to create goals from it. So we did everything like what we need to do is this year now, but we did everything to the very end and, and Jodi was going to work on goals. And that's how we left it. Okay, thank you. It was finalized. Okay, great. Yeah, that's great. Great. Thank you. All right. Let's take a vote on the motion to have the BSBA audit our policies. We have a motion, we have a second. All those in favor say aye. Okay, great. So that motion carries. Thank you, Floor, for bringing that up. All right. Shall we get back to Sonia? You were, you were walking through some of the specific pieces. We'll happily pop back into that. Sure. And I apologize. I don't know how you guys do this, but do you usually approve them all at once? Because I can make a motion to approve them all for second reading. I'd be happy to do that. And then we could have a discussion about them individually if you'd like. That sounds great. Yeah. I'll make that motion to approve them all for second reading. Thank you. Do I have a second? Second. Thanks, Ashley. Okay. Great. And so now we'll have the discussion. So for the first one, the A33, I wonder if you should just strike the first bullet. That is definitely something that our board members are expected to do, which is have a background check in the BUSD. But if it makes sense for you to, because we're all different districts, maybe we just scratch that. Thank you. And Michelle, did you have a comment on that part? Yeah. It was adopted when we moved over from BUSD, but they have since rescinded that policy. It's no longer a policy for them. So I don't know if, and it's not recommended or required by the VSBA. Okay. Thanks. Great. So Sonya, were you saying your board is, is removing that requirement or is keeping that requirement? No, we still have to do background checks, but we, I think we rescinded this entire policy because I think it fell under a different policy, I think. Okay. Okay. Thank you. So are we looking for a motion to do that, to take it out, or is she making a motion to do that? I'm just curious. No, that's a good, I think we, I think we make, we're, so we've had the motion and it's been seconded for like approving them as a group. So now I think in the discussion, I think Jody is capturing these where Stephanie is in our minutes so that it can come back for a third reading with those corrections. But yeah, if we, as a board do want to strike that, we should, we should express that. Sounds like we don't have any reason to keep it in. What word is being used other than principle if you're taking principle out of the second? This is for requiring us to get background checks. No, no, no, I know that. We're we're going to cut that out. I get that. Okay. But I've shown you mentioned something about the second bullet point and the word principle coming out. And I'm just curious, what word were we using instead? Director. Got it. Thank you. So my one question about that is if we're just said we passed a motion to have the VSBA audit our policies, are we taking something out that we should run by them or is find out? I mean, it's clearly it's not typical. I would be inclined to take it out. But I don't know if that's if that if they would say, well, maybe you need that in there. I don't know. No, so we have a motion to pass these for second reading separately from that. So we it's our purview to take it out if we'd like to they if they if they recommend down the road that we should put it in there, we can revisit it. But I think it I think it's within our within our purview to take it out if we'd like. Okay, then let's pass that I'll second her motion. Okay. Would you like me to keep going for principal in schools? Sure. Okay, the next one is a 34 under relations with it says principal. It should be director. And then under number two is instead it says from school principals and I assume that should just be from the director. And then on number three, it says the need to maintain a distinction between the administrative role of the principal and the policy making role of the board. Great catches. Thank you. I don't have anything or sorry my tablet's not catching up. The next one I wondered under C 33. There's a part that's in red regarding education quality standards that apply to CTE. Are you replacing that with the other paragraph since you're a CTE school instead of and there's a question do we want to revise this one or remove so I'm not sure whether you were going to swap those out. I'll just run through all of them and then you guys can discuss under C 34 on page four 3.7 it says each school 3.8 it says each school 3.9 it says each school. I think you have a sample from the BSBA so I didn't review that one I think that's just a sample. On C 42 under school property the second line says the principal has authority to decide whether to grant or withhold permission. Under C 43 under sexually transmitted infections and pregnancy prevention it talks about a SHAC committee and I didn't know if you had a SHAC committee so I was curious about that. Under D 30 for number two it says out of state field trips require board approval I don't know if you actually do that we don't actually approve out of state trips we're just notified of them and so since this carried over I don't I want to make sure that you know that and then under number six there is on the second line it says school and there's any principal so that should be changed as well and then under D 32 page two under number one I don't know if this is the case in all of your districts but we've changed the master agreement to be the collective bargaining agreement instead of calling it a master agreement and so we might just want to change that language as well do that we keep all of it I think that's everything thank you for being patient no thank you for your close attention to that that's fantastic thank you I do think I do recall we as a board have approved an out of state we I can think of two out of state travels so I do those do come before the board cosmetology went to something out of state and then we have our annual skills USA crew so yeah I think that's right and then regarding the education quality standards that was a good catch I think we do want to keep even if it's just the piece that says the education quality standards that apply to CTE are here and link to the agency website so we have that in here that makes sense to me but I'm open to other thoughts were there other pieces that folks had reactions to or Jodi that you wanted to clarify the oh the sexual health and prevention committee we have one of those in our faculty okay that one out I'm sorry I can't write things down because of my hand so I didn't write all those down were there others that Sonia had mentioned that we need to clear up we don't have that committee but we share the nurse and they provide the same information so I wonder if it still makes sense does the health advisory committee at spodding still do those recommendations Sonia then I think because we we pay for the nurse a portion of the nurse and we still we use the same they provide the same stuff for us that maybe we do keep that there okay um so Jodi oh Jason you had your hand up I'm sorry yeah I was just back at that first page oh sorry I lost my screen that first page that Sonia started talking about yeah it says the it was see 833 and the first policy school members to become familiar with their schools its programs and the needs that sounds a little weird school yes and the implementation of individual board members and they visit the school or good career center great thank you yeah I think that's awesome okay Jodi were you able to capture those or do you want okay all right were there any other um comments or um discussions or questions about any of these policies guy guy did you have a question sorry no you're good I guess it helps it's right on the microphone I'm just trying to remember my history about the background checks I think it was done under the auspices that you know school board members would be you know coming in contact with students on some level you know going in and out of schools you know similar to volunteers and you know that type of thing you know certainly I think you know remote you know COVID has altered that a little bit so you know Michelle is saying it's not a required policy I I mean I would be fine with it I've got about 38 out there so so far I've been good but you know I can always screw it up Ashley and then Jana I'm struggling with my looking at the policy but I was curious on the restraint and seclusion policy if there's a does the first of all is it are we doing many restraints and seclusions at the career center okay and if there are any are we going to hear about them are they reported to this board I was just curious what's the reporting if there is a some situation like that there is a requirement to report to the state if there is a situation like that that we have not had one while I was here there was nearly one last year but it didn't get to that level okay thank you and Jana I'm wondering under functional behavioral assessment functional behavior or functional assessment is now a part of any special education evaluation as it was changed in the rules and regulations that became that were enacted in July so I don't know if this is separate from that and if that was the case does that mean that it would require a special education evaluation if one felt that a functional behavioral assessment needed to be it was in order we would recommend or request that but we didn't as we're not an lea so we would not be doing any functional behavioral assessments so functional assessment is part of all evaluations now anyway right so hopefully that's I mean that's not in our purview I think we just have this policy that we adopted from another district we have a model policy we can we can either accept what we have and move forward we can change it or we can move forward and wait for the audit okay let's wait for the audit then otherwise I would say it's redundant if it's part of what is in practice based on previous legislation okay thank you any other comments or questions on the policies all right really appreciate that work on that um so we have a motion that's been second and so this would be just um for approving these for um to come back at the next meeting for third reading with the edits that we discussed today um so we have a motion in the second so all those in favor signify by saying aye aye any opposed okay great so we have approved those for second reading so they'll be back with edits for third reading thank you very much okay oh and then we have the we already voted on the bsba policy audit okay so now we'll go to committee reports do we have an update from the finance committee yes so there were a couple of actions but we met on January 2nd and we looked at we review our budget development with Michelle here we we moved to recommend that that we approved the budget as submitted to us and we'll get to that a little later and I'll let Jill do that the reflection that we had with Jodi about her presentations around all the schools they all went well and the the questions were mostly you know really everybody very supportive of the career center at the work that we're doing okay we looked at the we look at the warning too and we uh approved we recommended that we approved the warning as it was submitted we will get to that too and then uh Michelle shared a little bit about what is going on with the audit and brothers I don't know if she has any other updates but they're continuing to work on the audit right now it hasn't been as smooth as they wanted but basically because we're doing a different system a different accounting system that we have now in our district as you guys heard before and then we we're still looking to there there's there was some homework that we were doing to make sure to it there's not clear how we have separated our assets we with BUUSD so we're still doing some work on that I saw Michelle here so she can jump in if it needed we review the warrants which you all get and then most important we looked at the annual report and I believe it's included in the packet the annual report and we worked on on that and on the letter any questions otherwise we should move to the action items too yeah any questions additions great okay um thanks floor so our first action would be a motion to approve the budget as presented so I can make a motion to approve the budget as presented thank you do you have a second I'll second it guy guy and just a reminder and especially for folks who might be watching the way the career center budget works is we have our budget for our operations for our program and then the sending schools provide tuition payments using a state based formula so just want folks to be really clear as we pass the budget that our budget the career center from our career center's budget is divided up among the spending towns and is already included in their budgets as well so this is not an additional cost this is how it has always been that this is actually our the career center budget but it is already reflected and baked into our sending schools budgets um guy uh jody uh have you had more recent information about comparative um tuition rates I have not gotten any updates from any of the other centers however because we got the information we needed as far as our fte's we can tell you I think the budget increased 11 percent but our tuition increased less than 1 percent well that's good thank you yeah thank you um all right so we have a motion on the floor to approve the budget as presented um and I think we have a second yeah we have a second from guy any further questions or comments all right all those in favor signify by saying aye hi hi hi okay any opposed okay great so we have approved our budget so um that allows jody to send the annual report to the printer if she hasn't already that will be the budget that's reflected on our ballot language which we'll talk about in a minute um so thank you michelle and jody and the floor for all your work on I'm getting that to where it is um it also reflects our first um collective bargaining agreements so all right so relatedly um we are looking for approval of our announced tuition and jody would you explain this a little bit so this we don't have a we don't have a choice in what our tuition ends up being is that right we have a calculation that we get from the agency of education or am I conflating two things uh michelle do you think it would help to share the worksheet on this one basically we set our budget so that's the choice we're making right if we're saying this is what it's going to take us to run the central vermont career center and to meet the needs of our students next year that base amount so that four million six hundred four thousand that we have set aside for our budget that's the choice we made then we take um a percentage of the base rate figure out what that is so 87 percent of the base rate of 13,063 which is what we're anticipating based on what the state had told us previously then we have 11,365 dollars per student that we get on behalf from directly from the ed fund we have they told us we had 184 and we were originally assuming we had 180 students so we have 184 fte's for that six semester average and then the rest of the worksheet basically puts in some support like the ed support grant the state tuition the state salary assessments that we get which is always a year behind and some other components and that and we put in that fte's to be billed and we fit in that 11,365 on behalf to figure out what is the remaining amount that the sending schools will be billed so they'll be billed $7,537 per fte based on their six semester average sending to us and then you put all that together if you take that and um the 11,365 and 184 students then our tuition is $18,901 per student and then we can compare that to previous years so it's this worksheet where we fill in a bunch of numbers and and then it spits out a few things for us so that we have that but our choice was in setting that budget where we believe we need it great really appreciate that thank you does anyone have any other questions or comments about that does that make sense all right so do i have a motion to approve the announced tuition so move i'm both okay move by jana second by floor we should say the number though michelle i have it here but i just want to make sure that we are saying the right let me look those for the record and for the people that are not yeah because we went back and forth i had it up right our announced tuition is $18,901 thank you so i move that okay thank you flooring thank you jana all right any further comments or questions all those in favor signify by saying aye any opposed okay great so we have approved our announced tuition thank you very much moving on to the facilities committee um do we have an update from the facilities committee yes so we have a project timeline from Truex Collins um that's we didn't get our media proposal from them because we had a bunch of questions that they needed answered so what we did at our last meeting was went through their list of questions and answered them so um jody and florida did that go back to them those questions i don't think we have sent that yet we have not sent it yet terry okay um so but they're still shooting to have a proposal to us by the end of the month so that we can provide you guys with it at the next meeting in february so right now the timeline is mid 2029 which you know we kind of all in the beginning thought it would be a five-year kind of projected plan so and they came out with about the same mid mid-year 2029 completion so and so what will they be coming back with is it a feasibility study is it what what's the what's the work that they're coming back to us with next month you think um it's going to be i think a multiple of things okay right um but yes uh they're going to come back with you know what what would be what it would be what it would take from them and um lavali whatever that name is it yeah that they're working with to to help us you know figure out what's the what's our site options where that kind of thing the feasibility of it yes and then um i think some other options that we've talked about with them so and a cost for contracting with them to do this right that's exactly that's what we need right we need to know what they're going to charge us so and if and i think they're going to break it for us a little bit because there are things we may not need them for and things that we might need them for and so we can we have some flexibility there yeah that's exciting thank you for that update any questions i was wishing to have more for you this month but um you know at least we've got some good conversations going on so definitely all right thanks terry um all right next up for our committee updates um program quality there's only one committee there's only one that's the only committee that's left and um we spent some time talking about um we're out of compliance in electrical technology because we're over enrolled and so we've made a motion and it was seconded by lineman and we unanimously voted to make a recommendation to you all to accept the consequences of being out of compliance in order to maintain the current enrollment and electrical technology for the 2023-24 school year so it's just the remainder of this year and so all of our students are being very successful and we don't want them not to be able to participate to have two students be unable to participate we're bumped over the amount um even though we've broken it into two groups the co-op students into two groups it still takes us over the you know allowable amount of students but for the remainder of this year if the state allows us to we would like to be able to accept the consequence and hope that it doesn't interfere with our funding we need to determine whether or not it would right jody but if you would all help us to agree to maintain the program as it is now because all as i said all of our students are being highly successful thanks jana guy what what are the potentials jody good question so first i just want to say that we we needed to make a proposal to the state um at the end of the last year around how co-op would work and in our our reading of the co-op requirements it was our understanding that we couldn't have more than 21 students in a program on a given day we didn't understand at the time that we couldn't enroll more than 21 students in what is called a hazardous occupant and when the state reached out at that time we thought well potentially students might not be successful they might leave um because we had to fix this for semester two that was the recommendation from the state or that we might be able to find an additional instructor for the program we were not able to find an instructor that could take on the co-op students alone and when i reached out to ruth to ask what the consequence for non-compliance would be she stated she would get back to me and i still haven't gotten that information so she first she said friday and then she told me it would be sometime this week so i don't have what that would be if it is not going to impact funding i would like to see us not not um punish students for our misunderstanding and for us to be able to say yeah we're not gonna now we understand that although i'm not sure electrical falls under the hazardous occupations based on the documentation i've been researching but we understand that you're saying it does fit under that and that we cannot enroll more than 21 students in that and when we do have 21 students total enrollment counting co-op and our regular students that we need to assign a lab assistant there 50 of the time we have done that we have a lab assistant in there every time they're over 16 which is whenever co-op students are there we split those co-op students so half of them come in on monday the other half come in on friday so we thought we weren't breaking any rules because we never had more than 21 in the program at a time and have since learned from that so my hope is that we can say we've learned our lesson we won't do this again and keep those students not punish them for our mistake so we hope the news is not too shocking ashley is is the concern that we would not get some funding that we're getting or that we would like have to pay a fine is that not that we might have our program like i don't know suffer in some way like they wouldn't allow it or something what it like what are the potential actual fallout of that we discussed that a little bit as a committee we don't really know because ruth didn't have an answer she was needing to seek information thanks but it's also one of our programs that's highly enrolled that's the problem it's kind of a good problem to have when you think about how we would like all of our programs to be at at a level you know unfortunately this just kind of tip the tip the top and it sounds like they were being i'm sorry i was just saying it sounds like they were being creative making it work so that more kids could be in it so right and ensuring the the intent i'm sure which is safety right number of adults per student sounds like you guys are are doing that um we are uh lineman uh our our discussion was certainly you know if there's an existential uh punishment then we we don't recommend that you know of of destroying the program but if it's a uh a small thing that we can get away with that we recommend it great thanks ashley is your is that an old hand or are you okay a guy yeah i would i would commend the committee for making the recommendation and also commend the staff for you know if they didn't know they were breaking they certainly succeeded at not knowing that they weren't breaking the rules so you know uh i'm fine with it i mean you know you guys have taken a look at it uh we'll take our punishment is the are the students unaffected the um argument is that if they had to come back if we for whatever reason had not trained them well enough and they all had to come back into program we then could not incorporate them so we couldn't end up with 23 students in that program without an additional instructor we have had one of those students that was out on co-op had to return actually two of them because they were injured which is the first time that's happened and we were able to cover the program when those students were in it and they were able to be in it throughout the week so we kept a lab assistant there the entire time when that happened i don't anticipate that we're ever going to have all seven of them back in there with our 16 first years but seven is the co-op students that we break up into two separate groups um ashley i just want to say that i also support it i think we should vote on it because it seems like an easy one for me it should be great thank you sonia um i support keeping this the you know accepting the consequences i'm just concerned about voting on something that we don't know what the consequences are yet that's my concern because if we all say sure we're willing to take the consequences and they come back and say oh you know and it's something awful and we're all like oh yeah we don't really like that i feel like we're uh putting the car before the horse or the horse before the car i guess the car usually goes uh yeah so that would that's my concern yeah i wonder if we um we want to recommend continuation of existing practice while we wait to find out from the aoe but can we also add that we want to work as hard as we can not to jeopardize anyone's position in that program yeah definitely is that do you want to make that motion janna i i'd like to make that motion yeah so the motion is that as a board we would like to recommend to the administration that they continue existing practices and not change the enrollment in electrical and then maybe next month we will have an answer as to what any potential consequence would be and then we can vote on that next month okay and and that we want we as a board feel strongly that we want to do everything we can to um not impact the students who are currently in the program right okay that's first and primary you know first and primary i'll second that thanks ashley all right any further questions or comments okay all those in favor signify by saying hi hi hi any opposed okay great stephanie did that make sense were we able to articulate that in a way that works for you okay yes so so for the motion i have on a motion and who did the was janna were you the first motion yeah i was the first motion um the board unanimously voted to continue being out of compliance in order to maintain the current enrollment in the electrical technology with the decision regarding enrollment on consequences of the agency of education does that make sense to everybody yep thank you um guy yeah i'll just make an editorial comment to add to my frustration of some of these little nuances that seem to get in the way of you know trying to grow programs you know i mean i don't want to put anybody in a hazardous situation but you know don't we have bigger things to worry about you know i'll just i'll just mention that you know and i'm probably all things and i apologize not at all thanks guy uh lineman um guy to that point um i think it's really important to understand that we have um 19 and is it 19 one day and 20 the other day yeah and the in the cap is 21 so we're not we're not trying to shoehorn more kids in and are supposed to be in the in the room we're not you know i thought that was really important um but and that we're adding four and three co-op kids to that count well to keep to stay under right that's why we have 2019 yeah um on on another note for jenna do you want to talk about the design and fab or do you want me to do that well go ahead okay so um the other discussion we had was talking about um adding programs and putting programs on hold and that we had discussed putting design and fab next year on hold um and jody do you want to explain this other part of it and then we can go back to what we'd like to do let's see if i know which this other part was the the funding for next year so we're i need to really look into perkins funding because we are in a c l and a year comprehensive local needs assessment and so we need to look at program size scope and quality as part of that and we need to make sure that um any program that's in three years not meeting the total numbers whether that's going to impact our perkins funding so if it is then that that could make that could make the decision for us um basically we also might want to take into account and this is what we talked about the fact that we've just had a transition in that program and so although we only had the two applicants that are currently in the program who want co-op and no first round first choice applicants for the program we have second round applications opening up next week and with the new instructor and um a little bit stronger support actually voices from the grant industry now weighing in do we want to give the opportunity for that program to try to see if they can get enough students to roll next year um so and we were talking about basically the numbers and so to be like where it needs to be we should be at eight next year that would be six students in the first year plus the two co-ops so we we need to get at least six students to apply and potentially be accepted we want to always grow our programs to a point where we have the opportunity for the instructor to really select for the the program and not have to take everybody and that was one of the the struggles with natural resources in the past was that students were not getting into other programs so then they were applying to natural resources because they just wanted to be at the center not because they were interested in it and that led to some behavior problems and other issues for that program as well so trying to figure out do we do we move forward and allow a new instructor in these changes to try and fill the program for next year or at least get it to that eight total or do we pause it and then what implications does that have for the two students currently in the program that would like co-op i'm not sure we can run the program co-op without a program um so those were the the conversations we had and we left it at i'm going to find out what impact will this have on our Perkins before we make a decision but because that's going to take a little bit of time that means that we're going to give our new instructor the opportunity to try to get some folks to apply for second round because it starts next week which is what he would like yes and jody you had said that as far as our budget goes we um so we had kind of swapped in our budget welding for design and fabrication it feels like we might have the ability to do both um depending on how our audit comes back our early numbers are feeling pretty good so there's a potential that we could do both it's going to put a slight right on the limit but i think we also agreed as a committee that we need to have some checkpoints along the way so find out what the Perkins funding issues might be and also check in to see how many applicants do we have in this second round and where do we have a decision point that's kind of what we need to know is what is our decision point and when so it's to be continued yeah and we also know that welding is one of the industry needs and we have 30 applicants so wow when you have two co-op applicants for one program that's in its moving into its third year albeit with lots of changes or you have a new program with no teacher no marketing and we've got 30 applicants that's why we were making that recommendation originally thank you and you guys don't need a motion for this piece right no do we need a we don't okay we don't need a motion i had put action on the agenda thinking we might end up needing it but because of the committee decisions we don't okay thank you uh sonia no you're good all right great thank you for that work a couple of good problems to have it sounds like but yeah all right thanks next up would be our negotiations committee and we do have an executive session later on in the agenda to update folks on that so we'll we'll move on to great so we're looking for a motion to approve our FY 25 Center Vermont Career Center School District budget and warning so this is the budget and warning and then a separate vote or a separate nomination for our ballot language that'll go to all 18 towns and then our annual meeting warning uh jenna till the warning needs to be changed to identify lineman two of the warnings have me as the vice chair and we need to change that so that it goes to lineman okay all right thank you yep uh terry and then sonia and no okay so the large director is it just a one-year term this there's been so much confusion since i came on um i filled in for you know until march then i was voting in for one year and now it's remote so i thought it was a three-year term that's why i decided not to run it is a three-year thank you okay yeah you're welcome and sonia um my question is and maybe i'm not understanding this it says two the article one says to elect two members to the central mont creer center but there's only one bullet so are you really only looking for one member yes okay yeah i think we have it was probably from last year okay and i think that also uh that was correct on the official ballot and then it was also on the voting ballot by australian ballot um it says to elect two members that's at the very top under article one and that should just say one member and then under article two there's it's talking about um the um meeting informational meeting and it says february 26 2023 great catches thank you sure sonia can you help me i'm not finding the february 26 2023 so it's page uh it's after you found it you got it yep thank you okay all right so do we have a motion to approve the budget and warning with those edits those corrections made i'll make that motion okay thanks ashley uh do i have a second yeah i'll do that uh thanks terry okay any other comments questions corrections on the budget and warning all right oh lineman is is tina still the clerk for next year she's the clerk right now but she she was very clear with us so she did not want to continue i just didn't know if on the warning i guess she would be on there anyway right she's the clerk right now so she has to sign it yeah all right all right all those in favor signify by saying hi hi hi hi any opposed okay great so we have approved the budget and warning with those corrections um next up is the ballot language jody now that you have approved them please make time to come in in the next two weeks to sign off on the signature pages okay so you need wet signatures from all the board members i believe we do i don't think we can use docu sign for this okay anytime anytime we're open or as scheduled with michelle or i outside of open hours okay okay what time are you guys there in the morning i'm there here at seven and we're usually here till four okay great thank you are you guys open monday the 15 okay yes we have professional development that day okay thanks all right next the ballot language does everyone has everyone had a chance to look at the ballot language do we have any questions or updates on that one just my changes okay great thanks tana um do i have a motion to approve the ballot language moved by jana there a second second thanks ashley okay all those in favor signify by saying hi hi any opposed okay great all right and last we need our fy 25 annual needing warning approval motion and this will go this gets published um this gets included in the annual report or anything like that i can't remember where else this goes to get the warning out published in the times august maybe do i have a motion to approve the warning to move thank you for a second second guy thanks guy all right any further comment questions okay great all those in favor signify by saying i i any opposed okay great thank you and thanks jody and flor and michelle for working on all that um next on our agenda is the march meeting date so there's a few reasons why we've got a we've got to pick a special date for that um and i think part of it is because of where town meeting falls um and then also we need to get together to sort of re reconvene the board after elections in town meeting day is that right jody so did you have a proposed date that might i think that with the exception of cabit every other sending school would have been reorganized by the 18th and so we would have our new appointments by then jason do you know is are you the fourth monday or tuesday yeah i think it is the fourth so my thought was that we could go with the 18th and jason could just continue with us for that meeting and then if he's not reappointed the new person could join us in april and we would reorganize on the 18th with the exception of that one seat otherwise i think we'd have to put it off till april and we can't do anything in march okay thank you that makes sense jason is that okay with you yeah i think that sounds okay okay let me look um all right so does everyone um does that sound like it sounds like a good plan right um that gives plenty of time for other things to sort of shake out um the 18th would be does that mean that jason you have to run again for the board your term just expired is about to expire yeah i think i have to run this year okay and if he didn't i think the the board itself could decide right i mean not not cabit specifically but like mr ps could say jill we don't want you to be our current center representative anymore or i could say i don't want to and then another mr ps member would get appointed i think so that can happen to each year i think we sort of reconvene so monday march 18th is our tentative march date i'd say speak now or forever hold your peace but it's exciting to think about march i don't think that's april break or anything that's too early to interfere with vacations too much okay all right um do you need us to have emotion on that or i think that's an organizational decision i think we should be okay uh lineman could we uh move the program quality committee meeting to the 18th as well then yeah that makes sense thanks lineman jody does that sound good you've got that captured okay great all right thanks for thinking ahead on that um all right superintendents report these are always included in our packet and jody walks through it's always a great way to learn about what's going on at the career center um so i didn't actually include the annual report in this because we just got our first draft back from raven mark so i sent it out in an email this afternoon so you can take a look at that at your convenience and if you notice any sanya if you notice anything please please i need more help with uh editing documents clearly um so just take a look at that at your own convenience and we'll have another draft soon because our teachers will have the opportunity to look at it as well um we're back from break we're hoping that we don't have any weather that impacts us negatively not happy about rain in the forecast i can tell you that that was a really interesting event that happened prior to the december break is that um with the rain that we had on that monday our sunday monday routine for a while was snow days or rain and we ended up releasing kids from almost every single sending school as needed based on what the sending school was doing so our harwood kids left first because there were roads closing and they had they might not get home if we didn't let them out and and we kind of went along with that and then sent home our staff after that hoping we don't see that on wednesday but i'm really nervous with the amount of rain that they're talking about for our region for sure we have a record number of first round applications for our center next year 291 43 more than first round last year and so that's really exciting and also as you know kind of scary because we turned away 200 students last year and so worrying about students who might not have get access even though they really want to be with us um all of our emergency services two students successfully completed their first 12 credit course um semester one and they're moving into semester two in paramedicine with btsu it's really exciting especially talking to carl about it um he is the lead on the thursday's at the wiliston campus so he is also in charge of the 20 uh vermont state university students there as well so they all work together on every thursday when btsu is in session up at the wiliston campus and that's exciting every single one of our students and so we have four in the program right now it's the first official year of this being split out from ems one and they are all volunteering on ambulances usually more than one so we have folks that are on barry town we have waterbury we have randolph we have williams town they are they are out there serving and if something happens to any of you um i hope it doesn't and but the ambulance shows up chances are one of our students might be on there and so it's just i'm really proud of the work that they're doing and excited that we have this partnership and i hope that we can continue it as you all know juliano took the role as our new design and fabrication instructor and it's great for the work that he's done in barry um we can see it we can see examples of his work which is wonderful and his connection to the granite industry has helped us to get some notice from them and and reinvigorated some talks from the granite industry and how to support that program which is really exciting um we're working on our comprehensive local needs assessment this week actually the team will meet so thank you janna for being a part of that group and we're looking at the program of study analysis this week um when we gather up and so that's a series of questions that instructors filled out these documents last time around and they just needed to update them this time thankfully because it was a really heavy lift and basically it's a lot of questions of whether you've met or or not um our clna documents are public too so you can certainly take a look at them or jump into those meetings if you want that's on our calendar and the agenda is on there as well and finally we received delivery of our mobile home it was not the one that we were originally promised um it turns out that one couldn't be given to us they didn't have it to give away um so we received the mobile home from johnson it came out of johnson vermont and it doesn't fit in through our door into building trades so it's sitting in the student lot um here and all of our programs that are in the heavy trade so building trades electrical plumbing and heating they're all working on this together exploratory is getting involved as well so exploratory is going to get some of the demo um and some of the other exciting pieces and they're all met today the instructors to talk about what's our timeline and how are we going to get this done and what is our plan so our goal is to complete it um in time for the close of the school year the state would then ask that we sell it and that they get the 24 000 that they grant gave to us and grant funds gear funds back and anything above and beyond that would go back into our programs and we if you remember the gear funds when i talked about that they gave them to us in september with like two days left to spend them they had to be spent immediately even though we didn't have the the mobile home we had no idea what we were getting so we bought what we thought we could use in program and or on a renovation project and knowing that we'd use some of that in program and then we'd be able to replace from our program funds so that's still the plan uh to do that and i also have had continued outreach with habitat for humanity they're building on hill street and they're going to look for um support from us to do uh loan through the community loan fund and we have um they shared with us the mo u they use with randolph tech we've asked for a couple of changes to it to add um background checks for the supervisors they have on site at the program and we should be able to finalize that piece soon and then we'll bring you more information about that loan agreement when that happens jody as this great collaboration happens between the different programs in the designing and construction of this will there be video work done the way we did for the solar work and the electric so that we can actually show how everyone's working together and collaborating and solving problems and thinking at higher levels and all of that great stuff absolutely yes our digital media arts to teacher was also in the the meeting today and we are going to document it yes great i guess i could have said are we going to document and and left it at that sorry um yeah the other thing that i linked there was um in the past i've shared with you some documents that the vermont association of career and technical education directors back ted have shared with legislature with the the vermont school boards association with the vermont superintendents association so i shared with you the most up-to-date the prioritized list of our recommendations from that apa study that was done last spring just so that i'm continuing to share i wasn't sure if i'd share this with you yet so that is the most up-to-date version of what the cte directors recommend and what we're pushing the legislature for great thank you guy jody thanks for that report i just want to make a couple comments um first of all i was able to watch the destruction of the hill street property this weekend and it's now level and looks like things are ready to rock and roll you know and the what else am i going to say oh you know i had open house had a discussion with the ems individual and he is amazing i mean i cannot believe the amount of work he has done you know not only for the program but for the you know for for the issue you know and i had opportunities to speak with him with a student in that and she was amazing uh so kudos to that and you know hopefully phil appreciates the fact that we're going to be rebuilding that um you know that that home you know i mean quite frankly i don't even know if you can buy a trailer for 24 000 right now you know renovated so we probably will make money on that project because my guess but so thank you hope so any questions or comments on the superintendent's report i'd like to make a motion that the board gets to come the next time culinary is having a cheeseburger making competition because that looked amazing and i was very envious that was pretty amazing ashley i just want to thank jody that was a great report and um i really appreciate the thoughtfulness the kids are going to be off site they're going to be on a job site we've got to make sure those people have had their background checks because they do have access so you know thank you and it sounds like a lot's going on yeah thank you very much awesome all right just get back to the top here um so jody was your back to that's the legislative update right those are sort of the key points so there's statewide calendar non-competitive funding um adequate support from agency of education um yeah some good recommendations in there we should all talk to our legislators about it too um oh a building and future growth planning yeah okay great um uh guy sorry jill no go ahead one last thing i forgot to say uh it was a little heartening to hear i think it was the chair of the education committee but i'm not sure to talk about the amount of money that's needed in school construction for you know the next however many years uh you know i can't remember the name of the individual but certainly made some news and you know the amount of money is high popping but you know hopefully the career centers are you know part of that issue yeah definitely i think that's also where doing things like the hill street um project or the and the mobile home renovation those you know it's literally giving back economic you know positive impact from the career center and the students there so yeah and a lot of it's deferred maintenance too as well right they haven't done school construction funding since i mean i think it's been at least a decade but the needs remained it was 07 it was 07 okay yeah a lot more than a decade yeah my kid was born in 07 and she's 16 all right great thank you jody very much um and i know jody's very good about letting us know if she does get called in to testify i keep an eye on the calendar um but if there's and if there's anything else we can do to help like we definitely think we want to share these with our um with our lawmakers and have them hear the same the same messages um floor i can't hear floor can you guys i just see black and i don't hear you want to try again floor we couldn't hear you all right well we could move on in the agenda and then floor if you want to try to maybe oh wait maybe she's coming back if you want to try to call in oh there you are not sure what happened i'm still it's like so it's the internet i plugged it in and now i unplugged it and worked i don't know i just wanted to share that thanks to jody's work at scott far's there's been a smaller group that has been meeting also to try to move along the work and the lobbying for changes for the career center tomorrow is the first meeting we're actually meeting with jennifer piscatelli who is the a pa consultant that that part of the group to sort of sort of plan the next the next phase we're gonna review all of the recommendations again from from from the report and review the current scope and timeline to see if we can make sure that we can move the work along and and try to have an ongoing advisory group to make sure that through the legislative session we can have a bigger impact if possible so i just wanted to share that with you in yeah and scott is going to be part of this group they i don't know how they decided but it was just started the group and then jennifer is going to be the one doing the group and it's just two meetings great thanks any further questions or comments on that piece great thank you next up jody do you have a staffing and personnel update i do i sent a resignation email that i received over the weekend to you it is our literacy interventionist has he did not return the contract so we were under a letter of intent until we agreed to that cba in december and then the contracts went out they were due in thursday january 4th by 3 p.m that individual did not return their sign they had asked for an extension and i had said no because they were under a letter of intent already so that already was committed to the school year um it sounds like they've been looking for jobs and they requested to be let go or to resign and as i've said before and i said it with the last resignation that we got a few weeks ago or last meeting um i don't want someone who is unhappy here forced to stay here so i recommend that we accept that resignation i'll make that motion i'll second it all right thank you sadly um any further discussion all right all those in favor signify by saying i i i any opposed okay all right thanks for sharing does that mean you'll be posting that position this school year okay yes we would like to fill it and we still also have the stem position open and and we're thinking about renaming them because they're really supporting their embedded support and so maybe if we rename them that will help get some folks interested to we want to make sure that our posting represents well what that individual is doing okay i'll also send them the exit survey so that we could get that information from them great thank you all right any further questions on that um next up on our agenda is the accounts payable which we get mailed to us did anyone have any questions about the accounts payable okay all right um next up i'm looking for a motion to go into executive session it is on the agenda if someone wants to read that motion i'll do it um i move that the board enter into executive session for the purpose of a negotiations update as premature general public knowledge we clearly placed the board and the association involved at a substantial disadvantage in the discipline of team life superintendent jody emerson into the executive session i'll second thank you thank you um any further questions discussion um all right and so flor you typically as the cleric take notes while because stuff is not Stephanie is not included in the executive session okay all right um all those in favor signify by saying hi hi hi any post okay so we are going to move into executive session all right great so now we're just moving on to just real quick and i'm i don't know how we're an hour ahead i i i guess i rushed us i'm sorry about that we can definitely talk for another hour if everybody would like to uh jody go ahead um maybe the timing was off on it from the last meeting we usually end at eight so we're only a half hour ahead i do think it's important to let sonia know that juliana was on the facilities committee and i'm not sure if that's the committee she would like to be on or if there's another one um because we could certainly there's space for you on any of them there's plenty of people on facilities so i'm fine to just slide in wherever he was it's only for january and february so for now so we'll see yeah okay great thank you yeah thanks jody i meant to mention that during our committee updates um and of course you're very welcome to join any other ones as well or sit in on anything um but that would be great that's a good that that one makes a lot of sense that's great thank you um all right so this is the january meeting so february we will um if we get an update on the aoe compliance question by that point the the budgets the warnings will be out town meeting will be right around the corner um and then in march we'll meet um at a different meeting time on march 18th otherwise same same time same place i think we'll be back in the building we'll be able to meet in person for the february meeting barring unforeseen events um although we may not be able to park there if there's a mobile home taking up 10 parking spaces um and then it looks like in june we'll we'll work on our board development and goal setting um we'll continue the program presentations at our next at our next meetings those are always a highlight um does anybody have any other reflections or um any other next steps we need to make sure that we've captured that we haven't already okay do i have a motion to adjourn so move guy thank you guy do i have a second thank you jason okay any further discussion all those in favor signify by saying aye aye any opposed all right jody thank you so much for all your work getting the agenda together and everything and sonia welcome and thank you for your incredible eye to detail it's really appreciated thank you um thank you for being here


Počekaj. OK. I'm Tomas Schweinger z Kulabra. Zdaj sem predstavljeni o dokumente. To je nekaj, da sem tukaj počkala. Prvno, kaj je dokumente? If you want to create more diverse documents, you can use the teams and the teams have influence on the colors and fonts and there's also effects, which are mostly for shapes. And yes, let's say, you can quickly change the document design or just changing the teams and this is very nice. So, more exactly, what are included inside the document teams. So, we have team colors, then team fonts, which are usually, you can define, what is a heading font and what is just a body font. And there are also inside the teams you can define fonts for exactly the language you want. So, if a team wants a language specifically for Japanese or any other Slovenian or English, you can specify that exact font there. So, as I said, there is also a team format stream and this is like applicable for shapes. You can specify various line properties and field properties around it and what is the background in which there are some effects, like a shadow or blur. And they kind of remind me of what we have, like drawing styles or shape styles. And I think that this is mainly because Microsoft Office doesn't have something like this and they just use the teams for that. But I think we have to sooner or later also support this. So, a little bit more about the colors exactly because the support that I implemented are mostly just the colors. So, when you are defining a team, you have dark colors, you have two choices of them and this is a light color, two choices. And then you have accent colors, six of them. And you have a hyperlink color and a followed hyperlink color. It's really exactly how, if this is very useful, but Microsoft Office defines them, so we have to do it also. So, one neat feature about this, maybe I can expand here, is like we have dark colors, and white light colors. I think that in Microsoft Office you can have, for example, a dark color, which is a text color and a light color, which is usually the background color. But if you are changing to, for example, that you want the dark mode, so background will be dark and text will be light color. So, in this case, it will automatically switch between them. And if you have a team, this is nice to define because currently we are, the only thing that this can be done automatically is mostly if you are specifying the color as automatic. And then, depending on the background, it will change the text color, which is quite problematic. So, additional to the colors, they are like color transformations and on top of that. So, you can have like a tint or shade color, and change the luminance, the saturation and many, many more transformations that are defined for the colors. And usually, when you are specifying a color, you select, for example, an accent one color and then you say, in addition, what is the color transformation? And I think, in writer, all of these transformations are supported, but not so in Excel and in Impress, which only supports tinting and shading or luminance modulation and luminance offset. More about it maybe later. So, about support inside Libre offices. There was like, what is the work done before this? There was like 2015, I was a Libre office conference in Denmark. I gave a presentation. I was excited about the teams, even at that time. And I created a mockup for which wasn't really supporting the teams, but what it did is changed the colors only. And then I presented this at the conference. It was quite excited, but then nothing happened for this was eight years ago and until now. Then there was, Mikloš needed to implement, had a task to implement team colors, at least the basic support inside Impress, but when he started it he didn't have a lot of time, so it was quite just to have something. So he did a little bit of groundwork and this was it. One speciality is like in Impress because there is a team per master slide, which is then inside Libre office a master page. This is a problem currently because we don't... Master page is a little bit more specific than just a master slide, which has a lot of these designs. I mean how it is called in Microsoft office, like schemes for each slide itself, and this is not so good if we are doing it just per master page, but okay, we did something about it and it was working. The first thing that I had to do was the groundwork. Of course we had like OXML import and export for the teams, but what we had before is we just put every property inside the grab bag and just transported it from import to the export so that we preserved the team, that we preserved the colors and when we are saving and loading the documents, but this is not the great idea we want to use the teams and change them and add them and this was not yet done. So I had to remove all this grab bag stuff and probably implement the teams reading and writing inside and storing everything inside the document model and this is quite some work. I mean, the whole team support is quite some work and is still not finished. So some of the execs is actually just similar, but we just have to map them inside what we have in document model. Yes, and the team export, this is just the team itself had to be written from scratch and just what it was in grab bag this had to be just removed. So what I added next is like this is the document model for the team, each team the collection. Yes, this is holding inside the document model like a collection of teams which needed so we can choose a new team or a team for your document and change it. It should be user extendable currently it's not we have just hardcoded a couple of teams but in the future I think we can add this. The next was refactoring of the unit so we can imagine every color property needs to be changed because you don't have just color you have to store additional information for the teams and every color team color property had to added a new color team property which is now complex color property why complex color it's because we wanted to add not just teams but everything that is supported by OOXML OOXML has more than just team but you can also as I said before these color transformations not only applicable for a team you can apply them for normal colors as well and yeah they are like this you can use different representations for the colors so this is like RGB or HSL color space which is also supported inside complex color yeah so the next then is we have to extend it so in first one was we did I did as support inside brighter there is in brighter we are storing this inside just quite SDR model we say which team is currently used and if there is no team imported when you create a document it will create a default team by the when it's created so then I change it so that text colors and fill colors can be mapped to a team this also includes underline and overline colors this is like the lines and you can also change the page background color and then the border colors are also supported previously there was also already implemented inside support from Impress which changed the shapes so this is also just reusing that and changing it so it works as expected and then of course every style that is defined it can define for example a color and this also needs to be supported next was then teams in calc similar like in brighter we are storing the team inside SDR model which is one team per shit document no shit the whole document and here we can change the text color for the cell cell background color and sparkline color sparkline defines hate different colors if I'm not mistaken so all the sparkline colors can be have support for team colors and then of course cell styles can also be also supported where inside cell styles you can change like this cell text color and background color so this is how it looks for sparklines you can three different teams and you can change them just by changing the team color so lastly because there was a lot of things changed during the implementation we also had to change it inside impress so as I said inside impress the big changes that we don't have one team per one team per whole document but it's defined on the master slide and yes as I said I already explained previously there is an issue when you have master slide ah one master slide has multiple layouts and this is different how we implement currently master pages inside LibreOffice where you only have master pages and each layout is then mapped to master pages so this is annoying because for the user it expect he will change the team and the whole presentation will change but if you have specified inside master pages he will have to go each master page and change the team there so currently I then recently changed this so that all master pages will be for now will change the team not just one master page and later when we have proper support for these master slide layouts we can change this so inside impress what the support is left of course text color again and background color and then of course what is missing lately is the drawing styles these were not supported and I had to add it and this now changing the teams inside impress looks something like this when you have three different teams automatically change the color so I want to talk a little bit what happens when we change the color we have this team color changer class for each inside impress inside writer and inside calc which just goes and changes so the whole model and changes looks for colors and changes the colors depending on how the definition of the team color or complex color has inside and then of course it automatically applies the transformations and then stores the color back inside the property there are some issues here because for every this change you have to also think about undo redo which can be quite interesting and it also needs to remember which team has changed and you have to add this into undo redo stack and support this VY as I said 8 years ago I was already experimenting with the teams at that time I created a sidebar that has design sidebar that has teams now I changed this that it properly supports the teams inside the sidebar in addition I added the dialogue and inside this dialogue you can change the team from one to another so this team dialogue is like here if you see here you can see that there is two times LibreOffice team this is something that can be improved the reason for this is that first in the first place there is always the team that is already inside the document currently and then because we have the inside this presets also name LibreOffice team they are written twice so all the others are just what are the preset teams inside LibreOffice and yeah in this you can also add and you can add a new team which will then be added to inside this dialogue but as long if you are using inside the document and it's fine but if not I think it will be lost currently when you are going out of LibreOffice so one big thing that also needed change is that the color picker so everywhere we have a color picker now we have a choice for this team colors inside the drop down and you will get something like this it will check what is the current team and it creates the color variations so on the top row there is just the team colors and at the bottom there are the same team colors but with transformations added the same like inside Microsoft Office so that this should be the same here inside Microsoft Office ok, the tool so as I said there is not every color property supported yet and there is quite a lot that is still missing in the time I had I couldn't change everything so we will go and add one by one until we have everything supported so next is also support for inside gradients so currently we only support solid colors but inside gradients we have multiple colors and with the multi color multi stop color gradients we need to store like this team colors for every stop color stop and this is something that we need to do in the future what is also omitted is like a chart support for team colors I didn't do anything there so this is currently unsupported completely unsupported but I think that chart where this would be very useful exactly in such charts so let's hope that we can also edit here and then what was also omitted is completely the team fonts and format scheme we support importing and exporting OXML so this at least this is supported but everything else we have to implement it so this is all I had so thank you


Welcome back we are proving the quadratic reciprocity law and we started with the proof of Gauss lemma in the very first place. After that we saw a rectangle starting where the x coordinate went from 0 to q by 2, y coordinate went from 0 to p by 2, we called the rectangle to be r and we divided the rectangle into 4 parts and here are those 4 parts in front of you on the screen where r1 was given by this particular equation. This is r1, this is r2, this is r3 and then we have r4. So these 4 parts together give you r. So r is disjoint union of ri as far as the lattice points are concerned. Of course if you are looking at the satheurotic structure of the rectangle r then it is not quite the union of r1, r2, r3, r4 because the lines have been omitted. But without counting without worrying about the lines if you are looking at the lattice points then for lattice points this union is valid. What we have also seen in the previous lecture itself that the number of lattice points in r1 is equal to the number of lattice points in r4. So there is a bijection between the sets of lattice points in these 2 parts. Therefore, if you are counting the number of lattice points in r2, the number of lattice points in r3 then to get the number of lattice points in r, we will need to add twice the number of lattice points in r1 because the number of lattice points in r1 is the same as the number of lattice points in r4. So a multiple of 2 needs to be added. So when you take power of minus 1, the power of minus 1 is not going to change whether you keep the power to be only the number of lattice points in r2 and r3 or whether you keep it to be the whole rectangle r. We also noticed that the number of lattice points in the whole rectangle r is q minus 1 by 2 into p minus 1 by 2. This is the number of total lattice points in the rectangle r. Now we go to the rectangle the part r2.  This is the part of the rectangle that we are looking at and we know connected with the quadratic residue symbol p by q. This is the second step where we say that p by q is minus 1 power m where m is the number of lattice points in the region r2 and there are no prices for guessing that we are going to use Gauss-Lemma. This is going to be used. So we have to look at numerically least residues of multiples of p and see how many of those are negative. That is the number which is m and we are also saying here that m is the number of lattice points in the region r2. So we have to say we prove m is equal to the number of negative numerically least residues of pa where a goes from 1 to up to q minus 1 by 2 because remember we are taking the quadratic residue symbol modulo q and it is taken for the element p. So we have to take multiples of p. So these are the multiples of p that we will look at. So we will look at p, 2p, 3p and so on up to q minus 1 by 2 into p. These are the numbers that we look at. Take their numerically least residues modulo q, see how many of these are negative. So numerically least residues are the residues from minus q by 2 to q by 2 and this is why we had a minus q by 2 in the equation for the region r2. So these are the points which are going from minus q by 2 to q by 2 and the negative ones will be from minus 1 q by 2 to 0. So we prove that there is a bijection between the number of lattice points in r2 and the negative numerically least residues of multiples of p. We are going to give you a bijection. So if x, y is a lattice point then of course we know the equation of the region r2 we get that minus q by 2 is less than px minus qy less than 0. So this is your numerically least residue of px and of course x is going from 0 to q by 2. So x can be an integer from 1 to q minus 1 by 2. So the pair x, y gives you a multiple of p which has negative numerically least residue namely the multiple px. This is the multiple px of p with x less than q by 2 but positive such that the numerically least residue modulo q is a negative quantity. So we have a very simple map from the number of lattice points in the region r2 to the negative numerically least residues of multiples of p sending the pair x, y to the multiple px. So we have this way map. Now ideally if some multiple pa of p for a between 1 and q minus 1 by 2 has negative numerically least residue we should get a lattice point a comma something in the region r2. Why are we getting it to be a comma something? Because the map going from r2 to the numerically least residues is going to give you the first coordinate. So the first coordinate has to tell you what multiple you are taking. So on in the reverse direction if you are taking a multiple a of p by some number say a which has negative numerically least residue then the corresponding point in the region r2 has to have first coordinate a. That is the lesson we learn from this slide and we go on to try that. So if so I will write it in this way minus q by 2 is less than the numerically least residue of p a is less than 0. Then what we must get is that this numerically least residue has to be given it is congruent to p a modulo q. So the difference between the numerically least residue and the quantity p a is a multiple of q. But we should also notice one thing that p a is a positive number remember p is a prime. So we are taking p to be a natural number a is going from 1 to q minus 1 by 2. So a is positive therefore p a is positive q is positive. So you cannot add a positive multiple of q to p a to get this negative numerically least residue. So what we do here is that we modify this and get here negative for b positive.  So you will keep subtracting multiples of q from this. The multiple has to be also unique because the length of this interval is less than q minus q by 2 to 0 the length is simply q by 2. So you will have exactly one numerically least residue which is of course from minus q by 2 to q by 2 the length is q. So you are going to get one you are going to get a unique numerically least residue. So this b that we are going to get is going to be a unique quantity. So starting from this numerically least residue of the multiple p a which is negative we obtained a positive b and remember on the last page our equation looked very similar we had p x minus q y to be between minus q by 2 and 0. So here if we are getting it to be p a minus q by 2 q b we should rather prove we should prove a comma b belongs to R 2. We should prove that it belongs to the region you may think that indeed this is the equation for the region R 2 minus q by 2 less than p a minus q b less than 0. But we should also prove it amounts to proving that our b is less than p by 2 the y coordinate should not go beyond p by 2 that is the thing that we should prove that is quite easy actually because we have minus q by 2 less than p a minus q b we use this side of the inequality to get the result that we want of course with the proper condition on a. So this will imply that minus q by 2 minus p a is less than minus q b and now you multiply by minus 1 everywhere to get the other side of the inequality so which gives you and you also cancel out q.  So what we have proved is the following thing let me just say that in words once again that we took the negative numerically least residues of multiples of p by the numbers 1 to q minus 1 by 2. This number when put to the power of minus 1 gives you the Lausanne symbol p by q but we also proved that this number is the same as the number of elements in R 2. So therefore the Lausanne symbol p by q is minus 1 power m where m is the number of elements in the part R 2 the number of lattice points in the region R 2. There is a similar step that we will have to do to tell that q by p this is the other part of the reciprocity now you are taking the Lausanne symbol of q with respect to p this is given by minus 1 power n where n is the number of lattice points in the region R 3 and this proof is similar to the earlier proof. So I am not going to do it let us just set up one notation that let Z be the number of lattice points in the region in the part R 1 and we have seen that R 1 and R 4 have the same number of lattice points so Z is also the number of lattice points in the part R 4. Now with all this we can prove the final part of the quadratic reciprocity law as follows we want to prove this now that p by q into q by p is minus 1 to the power p minus 1 by 2 q minus 1 by 2 LHS if you remember is minus 1 to the power m into minus 1 to the power n given by the previous two steps which gives you minus 1 to the power m plus n. But if you add an even number to this power then you do not get anything different so you get m plus n plus 2 Z. But this is now the number of lattice points in the region R which is equal to the product of these two let me draw a big rectangle here because this was indeed a very long proof. But now this is proved so to quickly recall the proof what we did was that we constructed a rectangle having the number of lattice points to be equal to p minus 1 by 2 q minus 1 by 2 we divided it into four parts the two middle parts gave you the number of lattice points were was giving you the Legendre symbols p by q and q by p respectively and the remaining two parts had the same number of lattice points. So, when you counted the number of lattice points up to parity the number of lattice points in the whole region which is p minus 1 by 2 into q minus 1 by 2 turned out to be the same as the number of lattice points in these mid to middle regions which gave you the product of the Legendre symbols. So, this is the third and the main part of the quadratic reciprocity laws there are three parts let me recall these three for you once again. So, these are the three results that we have in one place the first one tells you how to compute the Legendre symbol for minus 1. So, the Legendre symbol for minus 1 is obtained by this formula which is simply the Euler's criterion for any number a but you can see easily from this part when minus 1 is a square mod p and when it is not a square mod p. This is all for odd primes for p equal to 2 all the nonzero numbers are odd numbers and they are all congruent to 1 mod 2 and therefore they are all squares. So, we are only looking at odd primes this tells you when 2 is a square mod p and then this is the final part of the quadratic reciprocity law. Let me tell you how we are going to use these three laws to do the computation. The computation would typically be a by p where you have a prime p in the denominator and a to be some number you will go modulo p and get a residue for p for a by modulo p this residue will lie between 0 to p. Now, even if you start with a to be a prime or whatever you have it is possible that the a that you have obtained the residue for a that you have obtained may not be a prime in that case you will be able to decompose it and we also know that Legendre symbol is multiplicative further if there are already some squares in the factorization of a you can ignore the squares because a square into something is a square if and only that something is a square. We are going modulo p which is a prime and you are looking at things which are coprime to p. So, you can divide by the numbers which are coprime to p. So, that will tell you that you can cancel the squares you can ignore the squares while computing the residue symbols the Legendre symbols. So, we have a by p which we have written as product of various distinct primes now because once the prime comes with higher multiplicity you can cancel the even numbers from the multiplicities and so you will be left with only those primes which come with odd powers. So, you have p1 by p, p2 by p up to say pr by p if any of these p1, p2, pr is equal to 2 we will use the second law to compute the Legendre symbol 2 by p and for odd ones you are going to reduce the case one by one as we have explained in the last lecture to be able to finally compute the Legendre symbol. Let us do an example and since we are in 2020 now let us try to answer this question whether 2020 is a square modulo the prime 21. So, ideally you should reduce 2020 modulo 31 and see what is the residue you get but here we first of all observe that 2020 has a nice factorization 20 divides 2020 and 20 is nothing but 2 square into 5 into 101. So, when we are computing the Legendre symbol 2020 by 31 this Legendre symbol is 2 square by 31 into 5 by 31 into 101 by 31 this one because this is already a square. So, this Legendre symbol is 1 therefore we can ignore this and do the remaining computation here 5 by 31 we are going to look at 5 and 31 are both primes now but 5 is congruent to 1 modulo 4. So, we can switch their order without having to change the sign. So, we get it to be 31 by 5 the Legendre symbol 31 by 5 into 101 modulo 31 now we go modulo 31. So, 31 into 3 is 93 once you take away 93 from 101 you get 8 by 31. So, our 2020 by 31 the Legendre symbol is the product of these 2 Legendre symbols further modulo 5 31 is a square because it is same as 1 modulo 5. So, this Legendre symbol is 1 here 8 is equal to 4 into 2. So, this Legendre symbol is simply 2 by 31 the 4 that you have in the factorization of 8 can be ignored because it is a square. So, the final computation that we need to do is this 2 by 31 we use the second law in the quadratic reciprocity law to get this to be minus 1 to the power p minus p square minus 1 by 8. So, you will have to look at 31 square minus 1 by 8 but this is 1 because 31 is minus 1 modulo 8. So, whenever p is congruent to plus or minus 1 mod 8 2 is a square modulo p 31 congruent to minus 1 mod 8. So, this tells you that indeed 2020 is a square modulo 31. Now, what is its square root that you may be able to compute by reducing modulo 31 and see where 2020 goes. So, this is how we are going to use the 3 parts of the quadratic reciprocity law which will tell you whether a given number is a square modulo the given odd prime or not. We can use this in even better way. We can actually compute all primes p such that 2020 is a square modulo that prime p that can also be done because for instance if I wanted to know what are the odd primes such that 2 is a square modulo p. Then the second law will tell me that p congruent to plus or minus 1 modulo 8 are the primes where 2 is a square. For the other odd primes 2 is a non square. So, if you can do it for 2 why not do it for 3. So, let us use the quadratic reciprocity laws and try to find all the odd primes p such that 3 is a quadratic residue modulo p. So, what we are going to do is to compute. So, find p such that this Legendre symbol is 1. This is what we have to do. So, of course if your p is 2 3 is a square. So, we are not going to consider the prime p equal to 2 we are looking at odd primes anyway. So, here we have to switch the orders because 3 by p is not very useful whereas p by 3 would be useful because modulo 3 we know what are the squares mod 3. Modulo 3 there are only 2 non-zero numbers 1 and 2 and out of these 2 1 is a square 2 is a non square. So, we are going to use using the third part of the quadratic reciprocity law we get 3 by p is p by 3 into minus 1 to the power 3 minus 1 by 2 which is just 1 and p minus 1 by 2. So, this is what we have. Now this so here p by 3 is equal to 1 or minus 1 depending on whether p is congruent to 1 mod 3 or whether p is congruent to 2 mod 3 and minus 1 to the power p minus 1 by 2 this quantity is 1 when p is congruent to 1 mod 4 and this is minus 1 when p is congruent to 3 mod 4. So, when is this product going to be equal to 1 we want this whole thing to be 1 then this can be 1 when you have this equal to 1 and this equal to 1. So, there are 2 conditions on p that p has to be 1 mod 3 and p has to be 1 mod 4 and we use the Chinese remainder theorem. If you remember the result that we have proved from some earlier parts of our lectures that if you have this congruence modulo 3 modulo 4 3 and 4 are both co-prime therefore modulo 12 there is a unique congruence class residue class that is actually the congruence class 1 mod 12. So, when p is congruent to 1 mod 12 both the numbers p by 3 and minus 1 to the power p minus 1 by 2 are both 1. So, their product is 1 and therefore we get that 3 by 2 so 3 by p equal to 1 for p congruent to 1 modulo 12. This is one case in the second case you can have both equal to minus 1 and even then we will get the product to be 1. So, we have to take this case and this case but here we observe that this is 2 mod 3 here it is 3 mod 4 so modulo 12 we have a unique class which is given by 11 mod 12.  Another way to see this is that both these congruence classes are given by p congruent to minus 1 mod 3 and p congruent to minus 1 mod 4. So, we have in the next line that p congruent to minus 1 mod 12 will also give us the same thing that it is 1 modulo the Lajandra symbol is 1 and the Lajandra symbol happens to be minus 1 in all the remaining cases which are p congruent to 5 mod 12 and p congruent to 7 mod 12. There are these other two odd numbers modulo 12 which are 3 and 9 but a prime cannot be congruent to 3 or 9 modulo 12 because any such prime will then have to be divisible by 3 but we are looking at the residue behavior of 3. So, we are not going to take the prime equal to 3. So, we are looking at all odd primes not equal to 3 such that 3 is a square modulo the prime and the answer is that such a prime has to be 1 or minus 1 modulo 12. So, we actually get a congruence class we get the solution in an arithmetic progression. It can be 1 mod 12 or minus 1 mod 12. So, there are two arithmetic progressions 12 k plus 1 12 k minus 1 in these whatever prime you have will have the property that 3 is a quadratic residue modulo this prime. Similar computations can be done for 5 then you can do them for 30 because 30 is 2 into 3 into 5 2 will give you some residue restrictions on p 3 will give you some residue restrictions 5 will give you some residue restrictions and then you have to take the LCM of these restrictions to get the answer for 30 60 and indeed for any number a. We will try to see whether we can do any of these either in the next lecture or in the tutorial problems. So, with that we will stop at this point and see you in the next lecture. Thank you.


Britain started to launch a large-scale evacuation of its citizens from Sudan on April 25, joining other nations racing to get their people out of the North African country after its warring factions agreed to a 72-hour ceasefire. Britain said military flights would depart from an airfield outside Khartoum and would be open to those with British passports. Priority will be given to family groups with children, the elderly and individuals with medical conditions. The Ministry of Defense released video and pictures showing a plane taking off from a base in Cyprus in the eastern Mediterranean. Foreign Secretary James cleverly said the government had started contacting nationals directly and providing routes for departure but would not be able to provide escorts to the airport. On Monday, the government estimated around 4,000 British nationals were in Sudan and said there was a British military team in the east of the country doing reconnaissance on possible evacuation options.