Good evening everyone and welcome. My name is Angela Mills. I work for the town manager here in the town of Amherst, Massachusetts. This is a recording of an informational session that will detail the process that residents and interested parties should use to apply for a cultural council grant. At this time, I would like to recognize the co-chair, Julian Applegate, and I will make for the host have a great information session. Thank you so much, Angela. Appreciate it. Have a great evening.  You've been serving on the council almost as long as me, right? Just about how long now? Three years. Great. And what do you appreciate most about serving on the council? I see we have Pat with us. Pat, feel free to raise your hand as we go or I'm not sure if the chat's available. So we have one person with us right now. Yeah, welcome, Pat. Yeah, welcome. So what do I appreciate about serving on the council? Is that your question? Well, you do so much. And I really appreciate how generous you are with your time and insights. Yeah. Well, first of all, I have to thank you for stepping up to co-chair and to provide leadership to all of us. And I think when I first joined, it was right before we went into meeting remotely. So I think I might have attended one in-person meeting before. I think so. I think that's what it was. Yeah. Before everything went virtual. And I guess as a result of that, most of my experience has really been working digitally and remotely. And so I think that I miss not being able to really meet more people in person to find out about their grants and applications, I should say, right, and their projects. But what I do appreciate is, I guess, the efficiency with which we have been working. And we need that, right? We service almost 100 grant applications a year. I guess that's how many it was last year, nearly that, yeah. Yeah. And I think one of the things that's rewarding is, over time, being able to see like a more, first of all, more grant applications coming in and then also a increasingly diverse set of projects that are requesting funding. And then also being able to work with a group of other volunteers with very different backgrounds. So, for example, we have diversity in age, in experience and origins, as opposed as well. And, you know, our respective fields of interest are quite different, too, between, you know, like what you do as a designer and what I do as an educator of visual arts and promoting cross-cultural understanding and communications. Yeah. So Pat and whomever might be catching this on the replay later can understand who we are and what our mission is. We are appointed by the town government as the cultural council, but we're also part of the Massachusetts, the MCC, right? And the MCC has LCCs and over 350 cities and towns in Massachusetts, where our main purpose is not just to promote culture, but we receive a portion of the state lottery funds. And our nine member council, that's the largest it can be. I think we're one shy at the moment, reviews the grant applications annually and allocates those funds throughout the community. So it's an exciting and busy time for us coming up, because the grant site application portal is open to everyone through October 17th. And when that closes, then we have a pretty fast paced review process that ends up with us deciding and voting in time to get the word out early in the new year to all the grantees for those that are approved for the awards. So we will know if somebody has a question, right? Yeah, I'm looking to see if any hands are raised. So I guess I'm going to attempt to share my screen. I'm not a daily Zoom user. So I'm going to just kind of start with where you can find information about us and the MCC. So I'm over here at AmherstMA.gov. And I navigated basically from your government into boards and committees A through M. And here I was able to even come here and then select the cultural council for folks applying for grants. There's really some fantastic information here. It's so let me just kind of take take you through that. One of the things you can see is our prior grant cycle. So if you're wondering what kinds of events and groups we funded last year or what's an appropriate amount to request, it's really good to kind of come through here and look at maybe events that you attended to to understand what kinds of opportunities are generally possible. And there's also here you can see who our council members are. We most of us serve an initial three year term, and then we have the opportunity to extend for an additional three years. I'd have to look at the chart to say where I am, but yeah, I started in 2019. So it's been just fantastic. We would love for everyone to please complete our community survey. One of our responsibilities to the community in Amherst is to ensure that we're providing meaningful arts and culture events. And but we also want to do that with an eye to what's important to the community. What are they asking for? And this is, you know, a direct way for yourself. And please spread the word about this to others that you know, so that they can directly inform us as to what's important. You can see it's just five questions here, and there's a link to share it. I believe at the end of that too. So there's this video here. It's a little bit of an overview about our process. And then really exciting. You can click here to be able to go and actually apply. So I'm also going to show you how to get here just in general. So if you were to just search for the mass. Cultural in a long day. And the reason I'm going through here so you can see all of this is there are lots of opportunities throughout the year that, you know, beyond our own grant cycle and folks should just be educated and know that that's that's this entire site is here. But specifically, we're part of the local cultural councils. Right. And like, for instance, Hadley has their own cultural council. Shootsbury does Shelburne fall does, you know, all of these different towns have their their own local groups that receive their own funding. And with this, you can find your specific need find your LCC. Right. And all of these different towns. This is really important because if you're having a larger regional event and you're going to provide public benefit to many different communities, then it's appropriate to apply to all of those communities in that case. Right. And the process should be fairly similar, although there are differences. I'm going to point some of these out. So one thing that's really important to read, and this is what would be different from cultural council to cultural council. I'm sorry. Just a moment. I need to mute just a moment. It's asked or averted for the moment. So I was saying that when you go to each different cultural council, their local priorities, which are the guidelines by which these councils are determining public benefit and whether it meets all of the requirements would be different. So you want to pay special attention to everything here. And specifically for our local priorities, we are definitely prioritizing grants so that they'll be diverse and serve our diverse community. Every event must be ADA compliant and accessible, and it must be open to the public. And you can read through in more detail. We also try to ensure that they're all different kinds of art, that there's music, but not just one kind of music, just different varieties that people like. And we try to make sure that's happening throughout the year. So and I think I said, everything has to be accessible to the public. I guess one big thing that comes up year in, year out is that there are a few things that we simply cannot fund. We cannot fund any travel, transportation or lodging expenses. And we cannot fund any kind of food, beverage and refreshment. That is something that you may very well have at your event, but you'll just have to consider that that's something that the funds that we provide can't go towards that. I'm going to stop because I can't see while I'm sharing to see if anybody has questions. So I'm just familiarizing myself here with Zoom. Rachel, do you have anything to add just yet? Not at this moment. So, Julian, we are at two participants right now. Is that you and I? Yeah. Oh, yeah. OK. OK. So I guess just kind of. Breezing through then we can move on to where grantees would click apply now. And you'll have to create an account. So you have to go in and register as an individual or an organization. So we're registering here. I don't know if I'm already in here. I hope I'm not this one. Any any thoughts as I'm as I'm just typing here? Yeah, I think what I was going to say is related to the applications themselves. I think that obviously the more detailed information we have with regard to the project, not only the description, but also the implementation would help us, you know, decide or determine whether the feasibility and, you know, the scales just give us a better understanding as we're making our deliberations. And the other thing I was going to say is that I feel like for the applicants who can demonstrate they've done a fair bit of the background research preparation already. They tend to, you know, help us understand what it is that they like to do. And it's easier to make a decision based on the more, I guess, evidence or examples of tangible framework that might already exist. That's a great point. I mean, just to add on with that, like I said, it was almost 100 grant applications last year. So really, we pretty much just have to take the grant application as it comes to us. And either the information is there that it meets our requirements or not, because there just isn't much time for the volume of applications that we're going through to to clarify details. So it is really important to be sure that truly the spirit of the event that you're trying to share is comes through as well as the details. So some, you know, we have to have a date when the event is happening. There has to be a location and that location needs to be accessible. The location, if it's being hosted at a site that you're securing, we need a letter of support with the date and the time from the host location that everything is set up. And, you know, why is that? Well, there's there's no point in having events that don't happen. And for events to happen and be open to the public and accessible, then they have to happen somewhere. So having all of those pieces together in your application is really, really crucial to our review process, along with understanding, you know, who are the artists that will be participating, what their credentials are, lots of... Just to give the council members a very clear idea of why this has meaning and benefit in the community. Yeah. Yes, thank you. And right. And I think by saying that we're not asking people to submit reams and reams of, I guess... Oh, no, they're not allowed to do that, actually. Right, digitally anyway, there is no reams of anything because I know we have like maximum 10 pages of supporting documentation. I guess the point that, you know, you've already made is to make sure that we know there's already, you know, certain pieces of it in place. So like you said, the venue and the date. And then the other thing, too, is that if the applicant is planning to collaborate with other organizations or individuals or, you know, to have all of that information available to. And that type of, I think, supporting details would be valuable for us, too. Absolutely. Right. And that brings up a question that happens all the time. So when you're talking about someone who's applying and they'll have others participating with them, or maybe it's more than one organization, that's that they're doing a joint event. And we love all of that. But the kind of the the rule is basically that, you know, each organization can only apply once and each individual can only apply once. But it's it's fine. So let's say who should we talk about here? Let's say we have. I don't know, Gallery A3, right? And this is all just theoretical, right, just making this step up. And they're going to collaborate with to have an art show at the Drake. And they're going to be musicians and, I don't know, poetry reading. So the key thing here is somebody out of all of those groups has to take the lead and own this particular grant. And then that person and organization would not be able to apply for another grant. But you can have supporting members from all of these groups come in and work together, but only one group can own and administer the grant. Or another example might be, I know a lot of you catch different kinds of events and performances at the Jones Library. So if if we have someone who's coming in maybe and doing children's songs and stories, if they're doing five events at the Jones and then another three spread out at the schools, that person when they're applying needs to apply for like their whole grant season collectively in their one application because they can't apply, you know, for each different one. We kind of have to take the whole opportunity for the grant season for that particular person. So I'm just at the moment going through and just putting some things in here so we can go through. And of course, we want the newsletter. I know nobody wants newsletters, but really the number of different kind of grant programs that come out. This is how the MCC keeps all of us up to date.  So there could be something that's applicable for you, that's applicable for for someone you know. So it's always good to to stay in the loop with that. Now that I've made this account, I need to go and actually verify just. Just I will I've stopped sharing, right? Let me go get my email. Yes, you're not sharing anymore. So we have two participants with us. And so if they have questions, we they can just raise their hand. Is that how it works or type it into? So yes. Yeah. OK. And I am going to be coming back over. OK. So please feel free to raise your hand or ask a question if there is one at this point. We're looking forward to receiving. The applications within the coming. Two weeks, right? Two or three weeks, yeah, the grants application portal closes on October 17th.  Just to be honest, don't don't wait till, you know, eleven thirty five p.m., you know, it's it's important to just because sometimes a technical glitch or something comes up. So you're able to start your grants right now and partially complete them so you can have a draft version of your grant. And I would really encourage people to to do that and to work through the process because you don't know what you don't know until you don't you know, right, as you're going through. So, you know, inevitably questions are going to come up and you certainly can reach out to us at the council and we will get back to you and clarify. But but for you to have those questions, you really have to start kind of putting the details in and and then we can help you. So welcome. Welcome. Sophie, glad you're here and we have Pat. So all right, I am still kind of fumbling my way through as I'll come back and share. And one of one of the reasons I'm taking the time to, frankly, do the slightly boring thing to kind of like look at the application is. It is just so important to be able to see exactly the information that's needed. And I'm going to try to just go through and explain why that would be needed. So if I go to the I guess this is the home. So so. See, I'm lost already as I'm winging it. Because I've started, let me make sure I'm in the. This is the new one that I just made. OK. So this is something quite different. Yeah, I wonder if you clicked on the link to say, well, once you have an account, you should be able to apply to. Yeah, I thought I thought it was in progress with that one. You know, because I started filling it in. Apply. OK. Applied to a local cultural council. I wonder if I go back here. My co-chair, Matt, is so much better at this. He has a session that's recorded as well, where I'm sure he was able to go right into that. Have you gone gone through to try to do this before? Rachel, not as an applicant, but there you are. Right. OK. You've done the MRS. Yes. So you have the issue. Should I go back and point out what I needed to do? Because it wasn't obvious to me, I was just clicking around. Go ahead. Yeah. Yeah. So what I needed to do was click on apply to a local cultural council. And this is what I was saying earlier, where if you have an event that's going to have regional benefit, you really should go and apply for all the communities that will benefit from your event. So then we are applying to Amherst. OK. So this eligibility page is really important as far as, you know, you just need to kind of go through here and and answer these honestly. But it's it's going to kind of do a self check as to whether your particular event based on this criteria meets is, you know, can be considered for one of our our local cultural council grant awards. So. Just honestly going through all of this. So again, must be open to the public and accessible to folks with disabilities. There's some great information at the MCC and also on our Amherst M.A.gov page about our work to assure people with disabilities can attend the events. I'll point out again, we cannot have any of the grant funds from our LCC be used to purchase food or refreshment. So and and so now I can go ahead here and say save draft. And if I had selected something here where there was an issue, it would it would raise a red flag. OK, so the eligibility piece is there. And then it's going to point you back to the guidelines. So this is very important to read through the Amherst guidelines, which are here, but also at Amherst M.A.gov and reach out if you have any questions at all about that before you get into the application. OK. So now we can go ahead and they want you to verify. And this is this is really, truly important that we have the right information as far as emails, a contact phone number and your location. Your location is important because when you get your grant, we have a direct grant award process. But, you know, the grant will be mailed to you. There's some more paperwork that happens just before the grant goes out. But, you know, certainly if if you're getting an award, you wanted to get get to you. And if we have any questions about it, please keep your information up to date with us. So now you can see that we have these these sections here, which is really where you're going to start putting in all the information about your your grant. So there's the amount that you're requesting. There are several categories here to give us an idea of what the focus of this event is. You have to pick one. Sometimes events are are multiple different disciplines, and that's wonderful. But you have to kind of lead with one and your project title. And again, we need to have a date and a time. I can't. I don't usually have to like type as performance art. The date that it takes place. OK, this this is kind of a fun and interesting thing. So the twenty twenty four grant cycle, right? The awards will go out in early January, but they run. They're able to apply to events from July one, twenty twenty three through to December thirty first twenty twenty four. So if anyone is in the situation that you want to apply for a twenty twenty four grant for something that's happening in the second half of twenty twenty three, you you can do that as well as apply for events happening from January one to December thirty first twenty twenty four. OK, so what you're saying is that in theory, someone could apply for funding for something that they have already done or are in the process of doing exactly. Yes. Right. Yeah. So because it's a really great opportunity if someone wasn't able to come in and do the grant during twenty twenty three, then you you can apply for that now. This isn't a right or wrong answer. This is just information for for us as far as if it if it primarily serves schoolchildren or not. We do fund any number of of grants annually that that benefit the schoolchildren because, you know, they're the future of our arts and culture in the community. So there were the investment always. Yeah. So just a couple of sorry, can I just jump in one second? Because when you were talking about the estimated number served and whether or not the project primarily serves kids, twelve children, is that I think whatever information is available in the applications that would help us actually see the public benefit or the potential public benefit. Because I think that's a piece that's always an important factor. Right. And then how that is presented or justified, you know, that explanation or projection would be would be really helpful for us as well. Yes, absolutely. And I'm glad you brought that up because, you know, you and I were so used to this after going through and reading so many of these grants, but this is all kind of strange and new to so many people, especially the first time they they apply. And, you know, there's a lot that's kind of left up to to interpretation. So the number of people served generally means kind of like what the audience size will be if that's appropriate. But it also can can include the artists that are participating. So I kind of think of it as larger because the the folks that are producing the event are benefiting from that that culture and the the the folks that are attending for performance or, you know, in whatever capacity there also. So this can be, in some cases, a small number, a large number. But think of all of the people who who mutually benefit from from the event together. OK. So. This summarize the proposed project or program. This is definitely one of the most important areas I would say in the entire application as well as who is the target audience, you know, so we we want to know who you believe will be benefiting from this, because we really do look at this very much from a public benefit point of view and cost of participation. So that that would be for for an event if there's a ticket cost to come in and we have events that are totally free. But, you know, art and culture. It's that's it's not always possible to do that. You know, there's a certain level of quality of event that certainly people are happy to pay for. There are some organizations who have paid events who might offset for for need or set aside so many tickets for for people to be able to attend if they can't pay the full price or reduced. You know, there are lots of ways to do it. I would encourage you to to think about that. But there's nothing wrong with getting paid for your your work and your passion. But it is something that's very important for us to understand as far as the public benefit as to who will be able to participate and how open it will be. And then you can then we asked very specifically to tell us about, you know, what the public benefit will be for groups that are applying to Amherst, where we're really looking specifically for how this will be beneficial to Amherst residents. So if this is something that's occurring in the larger regional area, you know, please make it clear to us as to how many folks from Amherst will be able to attend, you know, as far as what you would anticipate. And this is also where, again, you can apply to other cultural councils if you are going to provide public benefit to to those areas, too. And this question here about the qualifications of the artist, humanist, scientist, you know, this really helps us understand really the quality level and who's who's committed to participating with you.  This is is very key. So we know just how how big it is. But also, frankly, you know, we do want to get a sense for how logistically, how well organized it is, you know, these events often do take a lot of work. And, you know, you certainly would want to be crediting and recognizing the folks that are are planning it and are the muscle behind actually make making everything come together on that that actual day that it happens. There's a lot of long lead time, as we all know, for for most events. And how are you planning to promote the project? You know, this is an area where I would encourage people to be pretty, pretty detailed, because, again, to have public benefit, the public has to know. So what your marketing strategy is is going to be important to the council. Any any questions? Rachel, can you see if hands are raised the way you're viewing? I can raise my own hand, but I can't see if anybody else is raising. OK. So because I can't see who else is there. I think you can hear the host. OK. So again, if anybody would like to raise their hand, ask a question. You're welcome to do so. This is a public session. And really, as you were saying earlier, Rachel, normally we would do this for years ago before the pandemic. We would have done this in person. And I look forward to getting back to that. But it really should be a much more social type of chat here. So don't be shy. While we're waiting for some questions to come up, Julian, do you want to talk a little bit about kind of are the council's support of events or specific measures within events or activities that are targeted for just to enable accessibility? I think I think with that, because there's still quite a bit to get through here. OK. I think what I'm just going to go back to. Oh, sorry, I didn't know you're going to continue with the OK. Go ahead. Well, there there is a bit to kind of go through. But if you go back over to our page here. With the town, you can see that we had an accessibility webinar where we invited folks from the MCC for a round table to talk about how we can meaningfully make events accessible. So this is a great discussion that we had here. There are additional resources resources here, too. And what we're what we're looking for with this, I'd say, specific in the applications is for some forethought from grant applicants to to be able to express, you know, who their audience, who they anticipate, anticipate the participants and audience to be and that they've thought of me meaningfully, you know, making sure that everyone can can participate. And again, you know, we're happy to to talk with anyone. If you have any questions as you go, please, please reach out. Although, I guess one of the things with Charles Baldwin, when we did this round table that I remember saying him saying was, OK, it's great to have a sign language interpreter.  So it's there's there's a lot of unknown there, right? And I guess, you know, how how would one know whether it's needed or not? But I don't have all the answers, Rachel, I'd love for you to add some more there as far as, you know, what Charles had said and how we can. I think it's just being thoughtful, right? Yes, I think I think some some proposed projects will probably lend themselves more to the capability of incorporating that kind of planning into the is integrated into the planning to way we might approach how the project is set up in the first place. Some projects can work like that, but not all, obviously. So I think I think it was just I didn't mean to take you out of the flow of your presentation. Oh, it wasn't flowing. I'm pretty sure. So I think I think it's more like if people are because, you know, often events will request people who may require accommodation to be in contact with the organizers, how are in advance so that the appropriate accommodations can be made. But I think when we're talking about accessible, we're primarily talking about venues being accessible, right? For yeah, yeah. So the base level, which really, you know, your event either does or doesn't meet the guidelines is just ADA accessibility. Any any location that is not ADA accessible at pretty much disqualifies, we're not able to to make that grant. Right. And in some ways, one can argue that virtual events, if we're still going to be, you know, accepting those applications may lend themselves in some respects to be more like, you know, it's it's it's more straightforward to plan for accessibility when it's a virtual event as well. And yet one of the reasons that our council members became so invested and wanted and really kind of stepped up to make this a focus area was because of virtual events during the pandemic. And we just had all of these questions. Well, OK, now that it's not in the physical space, you know, how are people with disabilities, you know, maybe being excluded because it's online, you know, for for people who can't see or can't hear. And you know, there's just less less information all around for anybody as it goes virtual. But yeah, again, no no simple ways to to address these things, but we're looking for people to understand. How their their performances can be enjoyed by a broad audience and that everyone can be included. OK, I'm going to pop back over just make sure there are any any questions. Yes, we've got a hand raised from Sophie. I will unmute you. It's kind of funny to be so official. Hey, Sophie. Hi there. Can you hear me? Loud and clear. Great. It looks I don't know if I have video capacity or not, but it's nice to be here. Thank you so much for holding this. Absolutely. Glad you could hear it. Yes, you're welcome. So I have two two questions that are coming up so far. I have applied to grants in the past, but I'm new to the area. So I'm new. I have not applied to any Amherst or or surrounding grants. So the two questions that are coming up for me about this particular opportunity, the first is about basically if you have advice around scaling up versus down in the application. So for a little bit of context, I'm a I'm a musician. I have launched in in Portland, Oregon, where I lived before multiple concerts that sometimes they were standalone shows and then sometimes they were kind of like a full concert series. And when I applied to one, one of the grants I applied to and did receive was a bigger one, so it was about 10 K. And it was for a whole season of six different concerts. And I but I thought really hard about when applying to this grant, if I should just do it for, you know, one show or three shows or full, you know, and I had to go go all the way with with that one. But I feel like it with with a situation like this, I'm curious if you have advice versus about how how small versus how big. So if I have in my mind, right, that I'm going to be hosting something like six shows throughout the calendar year, would you advise that I wrote a grant application for one or two of the shows or three for all of them? You know, like, basically just to be I'm curious what you're thinking like how. So should I should I scale up versus scale down? And then in kind of in in combination with that, the question about applying to multiple grants comes up for me because you did say so, say I have a concert series. One of the shows will be, you know, I just played at Amherst College. So maybe one of the shows will be at Amherst College. One of them I work at UMass. So maybe one will be but maybe one will be in Northampton and one will be in Hadley. So, like, what would it make sense? I'm wondering, does it feel favorable or kind of hectic to have multiple grant applications in for one project? You know, does that muddy the waters or or would you say basically go for as many as you can? You know, is there or is there is a sweet spot in that? All right, let me let me see if I can there kind of take this from a couple of different angles. So, you know, the one one piece is the the more you add in then the having the dates fully lined up, the locations lined up, letters of supports for all those dates, you know. Yeah, that that part right there might be a little cumbersome. Well, and maybe even prohibitive, frankly, because getting all that lined up in the next two weeks probably will not happen. Exactly. So, you know, I would I would definitely look at, you know, what you can communicate as as something that's a real clear, yes, this is lined up opportunity. OK, now now with that, could you have five events with, you know, two of them being in Amherst and three of them being in the surrounding area, you know, Northampton and, you know, South Hadley, absolutely. But with that, you know, our council is going to look at, oh, OK, this artist. So is it reasonable that people from Amherst love you so much that they're going to see you here in Amherst and there? And generally, the answer is yes. Now, you know, where geography might come into it a little differently is, I don't know if we've got someone who's applying for, you know, something in the in the way, I don't know, in the middle of winter, way on the other side of a mountain, three hours away, right? Yes. Yes. You know, it's and it might be, you know, where we're going, I don't know, I don't know how many people are going to make a six o'clock show on, you know, you know, way out in the Berkshires, even though, right, so there are those kinds of considerations.  But in some cases, it might be stronger to apply within the particular council, you know, that has the most nexus for that occurring. Yes. We fund stuff in Northampton, South Hadley, Salburn Falls, you know, all of these places as well. I like that. So maybe the angle is, you know, as part of the two to this particular grant, I would apply and just say this this concert will be a part of a bigger concert series of shows. But looking and just for funding for one particular or two particular shows that would be that that that I might be able to line up more of the details for right now. And I want to point us towards the budget part here. Yes, yes, because this this is really central to what what you're asking about, too. So we have many, many of our grants that are partially funded. Like I said, we had almost 100 come in last year. You can see our allocation amount this year is fifty eight thousand. So we it is actually a strength in your budget to put the entire budget for everything you're doing, right? All of the expenses. Yes, if you are selling tickets that, you know, part of this is going to be paid for by tickets. If if you are anticipating grants from other LCCs or other other granting groups entirely, you know, the in kind contributions that people are making.  But at least, you know, there's the effort and the intent there. Right. Yes. Because it's often unlikely that we would actually fully fund any particular grant, although we do at times. So we do like to see that there is kind of a larger plan to be to be sure that it's well funded and supported. That's very helpful. Thank you. OK, and just to circle back to another guideline that's that's I think maybe you weren't here when we talked about this to start is because an individual and organization can only apply for one grant with us a year. Yes. You do have to be organized if you're really looking for for multiple events. You know, we've it's it's been hard over over the past years. You know, you'll see someone who's doing, you know, great work. And if they had just put that they're doing two events in the one grant, they really don't have any money. This might just be a small stipend, but because of the way that they came in in two different grants, you know, yeah, we it has to be organized. Got it. So to clarify on that front, I do have I have two different concepts I'm dreaming about. And just just if I'm hearing you correctly, just one application can be made to to the Amherst LCC per year. So I need to choose one of those projects. Yes, and really flesh it out for you. And so and would wait till. But doesn't that be one project? I mean, it can be, I guess, if you're, I don't know, if you're saying that you're applying for one thing like a visual artist and another thing as a poet, they're going to have nothing to do with each other. I don't know, two different concepts, basically, a slightly different concept. So I have a collaborative concert series that could be based fully on kind of a concept of connection and community like so on a very strong community outreach programs. And then there's a different concept, which is a program completely dedicated to representing female composers. So those are just, you know, they're different. And again, they're both of these. Both of these would have multiple collaborators and probably more than one show, you know, small, but I would want to choose either, I think it sounds like, you know, either when I'm writing my grand application, really focus on a series of shows, even one or two shows, whatever, centered around female composers versus a few shows centered around this kind of community connection collaboration component. Yeah. So I also think it's important that people only take on as many events as they can actually take care of. But let's say, you know, some of the one of one of these where you would have a collaborator, yes, if you have someone that you're working with and collaborating with in a way where they are dedicating the time and have the expert expertise and experience to to be the lead on that application with you and support. Yes, that's allowed. Yes, got it. OK, great. Great question. Well, I appreciate you keep you reigning me in because I can sometimes my my eyes are are I have the capacity to put a lot together. But this is it is really a good reminder that it doesn't. It doesn't need to be overly ambitious. Well, and I'm glad we're talking about this as well, because, you know, for events to provide public benefit, they have to be feasible. They have to happen. They have to happen as intended. So, you know, this next entry here for the application, how will you adjust the project if we cannot fully fund you? You know, yes, yes, the thing. And that that's we need to understand, you know, what what could be scaled back or sometimes it's a matter of how it would be possible to change the budget so that someone's doing something in kind or change, you know, possibly change the venue, although that that's a little difficult. But just what are your thoughts? You know, is there another group that you can go to for funding? Yes, and things like that will help us understand. Great. All right. Really appreciate it. I'm going to mute myself again and thank you for the question and don't hesitate to ask another. OK, great. And then this this next question here, truly, if you are doing something with regional benefit to other other areas, it is good to see that you've asked them for support as well. But certainly, if it's truly an all Amherst event, then we love all Amherst events clearly, too. And now we are in the additional materials. This is where you can bring in items. And there is a limit to the total volume of paper. We have moved to a digital format, but even digitally, our PDFs I think run, I don't know, Rachel, is it six hundred or more pages? We used to the panel book. Yes, if you longer. Yeah, we used to actually have all these materials printed. We'd have to go to a special binder service because the books would be about this thick and the council members would would log those around. Thankfully, everybody's been willing to go digital with it, but it really is an enormous document. So you have the ability to add three additional pages with with multiple PDFs, and you have to combine those down. But this is where you can have CVs for the artists. There should be always a letter of confirmation from the venue and perhaps examples of what the community can can expect to enjoy with you. And so then we would get here to the final page with the acknowledgement. And you can read through all of that and agree. But the thing I'm going to point out here that I think is most important is saved draft. So again, as soon as everybody can start kind of working through this and start trying to plug in the information about your grant and having those questions pop up because you didn't know what that meant till you looked at it, right? Then you can then reach out and we are more than happy to help you. And our direct email. Hope it's here. Yeah, I think if you click here for email, nope, that's something for work. I don't know what I'm sharing at this point.  My back on the website. It popped somewhere around the ACP web page. Yeah. OK. Let us see. Well, it should be there. I will check with Angela to make sure that we that that does link to to our email after all. OK. And I believe that is all that I have to share. So any any other questions, Rachel, do you have any anything to add? I think we've gone into quite a lot of it, certainly not all of it, but quite a lot. Well, I think you've covered everything that I can think of for now. Yeah, thank you for the great question, Sophie. Did you have another question or did you ask both of them already? I thought you said you had two questions, but obviously if you've answered. I kind of merged them both into one. Both it was about how to be to scale and then a question around if I should apply to multiple grants at once. OK. And now I have a crying baby. My apologies, baby. Oh, OK. So I want your mama back. I am going to. Just go back into the application and I've got a place there where I can put the email address on the screen. So let me. Are we seeing my screen? Yes, we are. I see the chair. OK, fair dot of dot Amherst dot cultural dot council at chief mail dot com gets to myself and my co-chair Matt Holloway. And we keep an eye out for especially during these next couple of weeks. There will be a flurry of questions coming in and we will do our best. We are an all volunteer organization. And at this point, yeah, all of us are, you know, have full time jobs, although a couple are full time students at the college is also with jobs in addition. So like I said, you know, we do process of a pretty large volume of grants each year. So please be patient with us if it's not an instantaneous response. We will get your message and we will connect with you and get back to you. It's just as soon as we can. So I believe that is all there is for now. And please reach out to us as you go. And we're really looking forward to to seeing what all of the artists and cultural groups have planned for the community this upcoming year. It's always exciting to be in the know ahead of time and really, really glad to be able to be part of this. And to get to serve with you, Rachel and all the other council members. Thank you. I look forward to receiving and reading all the applications as well. Julianne, I just looked at that website page again. Are the chair, the email address just mentioned it's not on there. So I think maybe we can add that somewhere. Yeah, I'll have to check with Angela. So I'm glad I got it in here at the end of the recording. But I know the email comes to me constant, right? So I'm just not and it's I think. Yeah, I was going to say it's is it linked in the survey? But the survey has the it is in the survey, too. Yeah, so we should go back to talking about, please fill in the survey. Absolutely. Please do. I'm going to I'm actually going to go and share the link. Well, you can't. We don't have to know I can't. But I can put it up on screen as to where people need to go and find it. So I'm just going to point you back to here at Amherstmass.gov when you go for your government, boards of committees, cultural council. This has quite a bit of information about us. You can follow us on Facebook and Instagram. We usually try to have folks post upcoming events there. But yeah, there is our survey here that will help to guide us so that you can tell us what you want. And we can be sure to keep that in mind as we are planning the awards for the upcoming year. So OK, I really appreciate you making the time, Rachel. Thanks for the great questions, Sophie. I hope everyone on who catches this on the replay on the video will reach out as well as they go. And good luck. And look forward to sending out the approvals early in January. Have a wonderful evening. Thank you very much again. Thanks. Bye. Thanks again. Take care.


A leading opponent of Enbridge Energy's Plan Line 3 crude oil pipeline replacement across northern Minnesota has applied for a seat on the regulatory panel that approved the project. When Ono Laduk is executive director of Honor the Earth, a tribally rooted environmental group, she announced Monday that she has applied for the public utilities commission seat, now held by Chair Nancy Lange, whose term ends January 7. Laduk is among more than a dozen applicants. She has testified before the PUC and participated in protests against Line 3. Other applicants include environmental lawyer Laili Fattahi, who represents the Sierra Club against Line 3, State Senator David Tomassoni of Shizam, State Representative Raymond Dunn of Minneapolis, and former State Rep Carly Mellon of Hibbing, commissioners are appointed by the governor.


Okay, the recording has started. Good morning everyone. Welcome to today's session of Testaments Survey, BC10E. Today, we are going to study on the letter to file men. Yes, even before we could begin, good morning said, yeah, even before we could begin, can I request one of us to lead us in prayer? Can I request it? Can you lead us in prayer, please? Thank you. Father, we come to the throne of grace. Lord, thank you for this day. You have given us, Lord. Lord, as we are going to learn from your word, Lord, all the letters, Lord, which were written by your apostles, Lord, which are great teaching to today, Lord, as we will be learning from that letters, Lord, Lord, let that letter should minister us, Lord. And it should create a great impact for that with the future ministry we are going to do for your Lord. It should be impactful and helpful for others, Lord. Lord, the thing we are learning should not be wasted, but it should be used in your kingdom expansion. All glory be given to you, Lord. We thank you for the teacher. We thank you for rest of my class, Miss Lord. In Jesus' name, we pray amen. Amen. Amen. Thank you, Sid. Thank you. So what do we know about the letter to file it? Anything. It can be anything that you would like to share with us. One chapter. One chapter. Okay. Anyone else? Yes, Brother Lupega, please go ahead. Phelemon is a letter that was written by Apostle Paul when he was in Rome in his house arrest, written for Phelemon to forgive his runaway slave called Onesmas. I think the name Onesmas means useful. Those are some of the things. So he meant that he's sending him. He was useless to him in the past, but he's now sending to him very useful and now not only useful, but he's also going to be a brother. He's a brother, he's a Christian. Yeah. Thank you, Pastor. Amen. Amen. Thank you. Thank you, Brother Lupega. You just summarized the whole letter in a in few words. Thank you so much. Very helpful. Okay. The book of Filament is a personal letter written by a friend to a friend. And it is one of the shortest letter. As John said, it has only one chapter and it consists of three 34 Greek words, three 34. So the very purpose of this letter is to bring the reconciliation between the two individuals as Lupega shared between master and a slave. So it is a valuable book in that we discover much about the heart of Apostle Paul. We see a man who was to take the example of Jesus who was willing to lay down his life for another. And here he says he was willing to put his life on the line for a slave with no position, power or resource. As we read through the letter, we see the frame, the words that Apostle Paul uses you know, recommending for reconciliation, recommending for forgiveness from Filament to messiness. Paul puts himself in place of a slave and he requests for forgiveness. That's a very beautiful letter when we read it. So what was the very purpose of this letter? When we read through the letter, we see two purposes, one, you know, to commend Filament for his compassion to other believers. Second, we see to commend nasimus to Filament and ask for his complete forgiveness and restoration. As we discussed on the purpose, we also see the unique features of this letter. That is, Filament is the only total private letter in the scripture. So it gives a valuable glimpse into the social life of the apostolic times. And the theme that runs through the letter is Paul's Intercession for a Runaway Slave. Can I request one of us to read some of the key verses from this letter? Verse 16, 17 and 18. Jafina, is your mic working? Jafina, is your mic working? Yes, Pastor. Yes. Jafina, so if you're my, okay, great. Can you please read verse 16, 17 and 18 for us? Can I know the chapter? Yes, in the book of Filament, there's only one chapter. So verse 16, 17 and 18. The book of Filament was 16, 17 and 18. He's no longer like a slave to you. He's more than a slave for he's a beloved brother, especially to me. Now he will mean much more to you both as a man and as a brother in the Lord. So if you consider me your partner, welcome him as you would welcome me. If he has changed wrong you, if he has wronged you in any way or owes you anything, charge it to me. Thank you. Thank you, Jafina. Yes, a wonderful letter. Recommending, charge it to me. If he owes you anything, charge it to me. Very well, Paul writes this letter to Filament so that, you know, Filament will be in a place to, you know, reconcile, forgive Onesimus, reconcile with him and accept him. So let's see the backstory that we can put the pieces together and get the details within the letter. So for more than two years, during the third missionary journey, Paul ministered in Asia Minor among the people of Ephesians. So this was a successful period for Apostle among the Gentiles, to minister among the Gentiles. And where he saw many people of Ephesians where received the gospel and they converted their lives were transformed. So among them, among these visitors was Filament. So Paul Paul's teaching minister to Filament was a wealthy Roman citizen and a slave owner from the nearby city of Colossae. We see that in the Book of Filament, in the letter to Filament, Chapter 1, Verse 19. Okay, so Filament was ministered by Apostle Paul and Filament was also known for his faith in Jesus Christ, for his love towards others. And he owned a slave named Onesimus who had at some point when he was working as a slave with Filament, at some point, he runs away from Colossae to Rome in hope that he could disappear into the populace urban environment by taking of taking some of master's goods. Okay, and just to be lost in that big urban city. But then what happened? Instead, he was found. So Onesimus may have run into Ifaphorus, the founder of the church at Colossae and one who could have known him and he would have introduced him to Apostle Paul. So what happened? Let's look at the background of Onesimus. So Onesimus was a slave and he ran away from his master. At some point, came under the influence of the ministry of Paul. And through the work of the Holy Spirit, his life was transformed. And from an unprofitable servant, it is transformed to be of a faithful and a beloved brother in Christ. That is how Paul is addressing Onesimus as. Onesimus also served Paul in some way for a shorter season while Paul was in the prison at Rome. So Onesimus eventually authenticated his conversation with work suitable for repentance. And at Paul's encouragement, he went back to his master to make things right with him. See the first assignment that Paul gives Onesimus, though Onesimus is needed for Paul at the prison to be with him and to be of help. But what was more important for Paul is the reconciliation between filaments and Onesimus, between the master and slave. Though Onesimus owes his master, we see Paul writing a letter recommending filaments to forgive him on behalf of Paul. Paul is putting himself in place. So Paul writes this letter on behalf of Onesimus to help him fulfill his moral obligation to return and to be restored. So Paul wrote this letter to his friend Filament to be gracious to his slave Onesimus, who was once upon a time slave, not now. And to forgive him for the very act that he did that was against him, against the Roman law. So under the Roman law, they could have been a severe punishment for a slave who robbed the master's goods and ran away. It could also cost him death. And here we see Filament was most likely been a church leader in one of the home church. So he was still reporting to Paul. He was in good relationship with Paul. So that's the reason Paul writes a letter to his own church leader recommending him to forgive Onesimus. And Onesimus most likely carried the letter in the company of Techikas who carried the Colossian letter as well. So Paul appeals to Filament not on a legal ground, but on spiritual grounds. Well, in the hope that he would receive him back not only as a slave, but also as a brother in Christ. So more of Paul's recommendation was for Filament to receive Onesimus as a brother in Christ, one who's equal with him in Christ. But Paul put some extra pressure on Filament to do so when we read the letter. So when we read from verse eight to nine and also verse 14, we see that by indicating that he would not command Filament what to do when he could actually do so. But by appealing Filaments reputed good character, faith and love. He says by asking a personal favor from Filament as a partner in Gospel, by offering him to pay any debts owed to Filament by Onesimus. And he also reminding Filament of a relational debts that he owed to Paul and he's asking for a personal sympathy from Filament that while he was in chains and we also see that Paul is making a matter of obedience and he is letting Filament know that he is coming soon and would be planning on staying with Filament in verse 22. We see that I will come back and stay with you. I'll come soon. I'm planning to stay with you. What a message of hope we see in this. And we said this book was written during 62 to 63 or some of the scholars say 64 AD and the central theme of this book is forgiveness and reconciliation. So it has to do with the receiving and offending brother back into a spirit of love. So the very key word in this letter is receive. As we see in the essence of the Gospel, when we read through this book, there is a message. There is an essence of message in this book. What is it? I would like to list it and points so that we can understand and relate it to us. When we read this book, when we see the relationship of Onesimus, who's been a slave, who ran away in the master Filament and Paul's recommendation to Filament to forgive Onesimus, which cost death for him, for the act that he committed, for the sin that he committed. So we can relate that as a sinner to God. The sinner has ran away from God. The law condemned the sinner and gave him no right to appeal. We also see as a sinner could never pay the debt that was owed. The sinner flees to the arms of Jesus. Here we see the picture of the cross, the Jesus step into to pay the debt for us. As a sinner turns from a sin and brings forth the fruit of repentance. We see the sinner receives forgiveness, not on the basis of law, but on the basis of grace. The sinner comes in new creation in Christ who's freed from all bondages now. So we can relate this gospel message into this letter. Though Paul may not be sharing, you know, just like what he did in other places, but here you see the people been shared in action. So what are the main features of the book of Filament? We see that Paul spoke often as a natural of his situation. And we go to each verse, we see that Paul sharing it in this way. I was a prisoner of Christ. Paul, yes, he was aged and he was a prisoner. He was chained. He was in chains. So you say spiritual father in chains. Even in my chain, gospel will not be stopped. And he shares the message of hope even in this season. So Paul wrote this letter personally, perhaps to ensure that others were not brought into private matter. So the letter to Filament is a powerful for many reasons. It is the only letter where Paul does not plainly mention Jesus' death or resurrection. And this is not an oversight. Even though he did not explain or talk more about the cross with words, but he demonstrated it through his action. He always been a living example for us to imitate him. And the later part we see in the history that it is very likely that Onesimus became the Bishop of Ephesias. So in 110 AD, Father Ignatius was writing to the churches of Asia Minor and he mentions that the name of the Bishop of Ephesias was Onesimus. Check this. So this may even explain why the seemingly insignificant letter made it into the New Testament. So in any event, Paul saw something great in the slave. He developed a good character within him. The life of Onesimus became a testimony to many others to what God can do when we give our lives fully to him. So the fact that Filament and Onesimus, you know, the relationship between master and the slave, when they gave each other and they reconciled with each other, God could do much miracles. And Onesimus submitted himself. When he submitted him, can you see how God raised him from strength to strength, glory to glory? We can also relate his story to Joseph. We can also see how God raised this slave to become a leader of a church, become a bishop of a church in Ephesias. So God can do anything to anyone when we don't give up on ourself. All we need to do is just surrender ourself to the mighty hand of God and allow God to work in our life. When we allow God to work in our life, we see how God can transform our life. He can make it beautiful. This is what his word says, that you are no more the old creation. All things are passed away. Behold, you have become a new creation, new creation in Christ. So the fact that Filament and Onesimus are now brothers in Christ makes the master-slave relationship totally irrelevant. Now they are brothers in Christ. They are equal in Christ. This story of Onesimus can also be applied in our own life. We may see we are insignificant, we are sinful or it can be in any other way we can relate ourself to Onesimus. But when we do not give up, when we try to reconcile with every mistake that we did in our past, just for the sake of Christ, you see God can work in our life. God can turn things for us. God can intervene into our life in that big populacity in Colosseum, in Rome. How do you think Onesimus could meet Paul, a leader, which can transform Onesimus' life? He never thought you could be found. His life could be worthwhile or he can come out of this slavery. This is not something, a small thing, okay, in our time. But those days slavery means that you are slave forever. And if a slave commits something wrong, it costs his life. And if you see Onesimus' life when we read this letter, we see God's hand on his life. God orchestrated everything for him for good and made it beautiful. We see Jeremiah 29, 11 into his life. So if God could change Onesimus' life and make it beautiful and give him a plan to prosper and to give him success, the same God is with us. He is mindful of each one of us. Today, we may be in different place, we may be impacting. God can call each one of us to impact the world that we are in. We may come across people, different set, it can be rural, it can be urban. But we have a plan for each one of us. There are times we may play a role of Onesimus to a master, but at the same time, we can also be like Paul, who can talk on behalf of certain people. There are times God can ask us to play a role of filiment, to forgive and reconcile with others. So all these three areas can be part of our life as well. So as we study this letter, let's put ourselves in. Let's allow the Lord to work in our life, to change us inside out. Let's allow the word of God to transform our life. As we read, let's say, Lord, can you do this to me? Can you transform my life? Can you make it beautiful? Yes, I understand that you are mindful of me. As God touched Onesimus, God can touch each of us and raise each of us to be a leader in the place where we are. Because the scripture says the harvest is huge. The laborers are few. This is the same even today. The harvest is huge. When we go out to minister, when we look at the crowd, when we look at the people outside, it is the harvest is huge. We need laborers. We need laborers to reach out to a different set of people. We need to be like Paul. How Paul said, I am the Roman to the Roman, Jew to the Jew, Greek to the Greek. But his intention was to share the gospel of Christ. We also see that whoever met Paul saw Jesus and Paul and their life was transformed. Can we be like Paul? Can our life impact people when we step out? Can they see the love of Jesus in us? There are times Paul stood his ground. He never gave up on people. He won't impact them. He shared the love of Christ. He said they need Jesus. They need to experience the love of God. Sometimes God moves in us like that. Sometimes the circumstance, the situation may be in favor of us to impact, to teach, to preach, to share the love of Christ. But then there are certain times it may not be in favor of us. But then we need to initiate those in those seasons or those times, those situations. We need to press toward it knowing that these people need Christ, need to experience the love of God. When we prayerfully do that, the Holy Spirit who is ministering to us can make a way, can open the door, can move that obstacle and he can make a way to reach out the unreached, to reach the unreached in that place, in that situation. At Mangalore, where we serve, we have different set of people. They are families. They are students. So one of the ministry here we do is reach out the colleges. So we see students in different colleges are very different. The environment is different. The teaching style is different. But then when we recommend that we want to impact them with the love of Christ, there are some people who are open, welcoming, but there are certain doors which takes time. But then we need, we need to knock again and again and again and we know that God will make a way in that area and we can reach certain crowd. When we don't give up, God will make a way. God ministers to people through us, any desires to do that. We can see many onesimus there. So when we don't give up, God can do greater things in and through us. So with that I'll close this letter and open it to the class. If there's anyone who would like to share anything from this letter that impacted your life, is there anything like that that you would like to share and add on? It is a very beautiful letter, isn't it? Is there anyone who would like to share anything from this letter? Silly, Brother Subashish, Brother Lubeika, please feel free. You all can just unmute and share. Yes, please. I can see some of these and raised. Yes, yes, Brother Lubeika, please go ahead. My pastor is an appreciation. When, like I have some books which I read. Hello. Yes, yes, please go ahead. Like I have books that I read. When I look at your notes, they are wonderful because much as in some other books you read, you need 40 or 30 pages to read about a given person or personality or give to this letter, for instance. But when you get the needy greedy of that, so many letters, that so many pages you read, you find that the notes you guys are giving us are condensed, precise, concise and straight to the point and having what it is to understand on a given person. You cannot understand this if you don't make research, but when you make research and get back, you really see that people there are doing their best, so keep it up. You guys are up there with the stars. Thank you. Praise God. Thank you for that feedback, Brother. Thank you. Anyone else would like to add to this letter or you would like to share your experience where you share the love of God or forgiveness of God with others and you saw some of these life been transformed. Anyone? John, Nikki, Paul, Aradhana, Jeffina, anyone from the class? Feel free to just unmute and share. It would be a blessing to each of us in the class. Zellie. One thing I understood from this epistle is we tend to be judgmental, sometimes seeing some people's attitude for the first time and we tend to label that person as like that forever. But I think through this life of Anderson was and the life that he has changed in between Paul is reminding us that the importance of being open to understand as how Jesus sees others, we also can see others. Amen. Amen. Thanks, John. Thanks. Yes. Being judgmental. Yes, that's right. Okay. Okay. I understand. Okay. You're having a noisy background. You're not able to unmute. Okay. Paul, would you like to share or Jeffina? Yes, please. Yeah. I believe forgiveness is a beautiful character that Christ has taught us because when you forgive someone and you give them a chance and you say, I still love you and it's like the relationship grows much more stronger. And as Brother John said, sometimes we are very judgmental. Like we label them and this is who they are. They will never change. And I also felt that sometimes we forgive people, but they don't forgive us back. We may have completely forgiven them, but they don't forgive us and they still hate us or things like that do happens. But Christ forgave us a long, long, long time ago and we didn't accept him for a long time. But just at the right time, people will understand us. That's what I believe on. And forgiveness makes us feel so much better. When we know that Christ forgives us, we couldn't understand that. Like how can he forgive me? And we sometimes, when I first got saved, I thought no one can forgive for the things that I have done, but we are still forgiven.  And I think if forgiveness can change my life, when I forgive people, that will change their life too. So I always forgive people. I never, ever hold anything back against them. And this is a beautiful letter from Paul. And thank you for teaching me this because I have never looked into this letter on this perspective. And mostly I avoided this letter because it's just one chapter. We don't read it so deeply most of the times. And thank you so much for teaching. I really learned a lot. Please God. Wonderful. Thank you so much, Jafina, for sharing on forgiveness. Yes, it is very important. And that is one of the essence of this letter. Thank you. Anyone else would like to add Sid, Aradhana, Brother Subashish, Lia Lama, anyone would like to share. The learning is much when we share our own experiences, isn't it? Okay. I understand that, okay, we have understood this letter and we got the essence message of this letter. So with that, we can end the session with a word of prayer. Can I request Jafina to end the session with a word of prayer, please? Jafina? Yes, Pastor. Yeah. Can you end the session with a word of prayer? Yes, yes, yes. Dear Heavenly Father, we come to another name of Jesus. We thank you for this beautiful day and for the amazing class that we had. God, thank you for teaching us to forgive people. And thank you so much for forgiving us.  We can never say enough thank you to you, but we still want to thank you a lot and help us to develop this character within us to forgive people, to love people just like how you did when you were down here on this earth. Just like how you love people, help us to love them and forgive them and help us to live just like you. In Jesus' name, I pray. Amen. Thank you so much for today's session. Great week. See you all next Monday. God bless. Thank you.


My name is Aravind Vijay Raghavan. I'm a reader in nanomaterials at the University of Manchester. I work in the School of Materials and the National Graphene Institute, developing various applications using graphene and other two-dimensional materials. What makes graphene a really unique material is that it has a combination of superlative properties which you can't find in any other material. For example, it's the strongest material in the world. At the same time, it's the thinnest material in the world. It's also very bendable and stretchable. It's the best conductor of electricity in the world. It's the best conductor of heat in the world. It's a completely impermeable material. It is almost completely transparent. So it's the combination of these properties that makes graphene very unique and such a high-performance material. So I head up Product and Marketing for Innovate. And I joined Innovate three years ago, a small British company that was founded in the Lake District 15 years ago. And we started working on this amazing project with the University of Manchester incorporating graphene into sport shoes and delivering a world first. So the last three years for me have been an amazing journey doing a collaboration to deliver an outstanding and extraordinary new product. Now, prior to this innovation, athlete sports people had had to compromise. So they could have on one side the stickiest rubber that would grip in wet conditions out on if they're out running, fell running, hiking, etc. Or they could have very durable rubber. They couldn't have the combination of the both. So the real benefit of graphene grip by Innovate is no compromise is needed. You now get the ultimate in sticky grip and the ultimate in durability combined. And that's proven by science, so with the University of Manchester. But it's also been proven by the testers that we've had out there and now independent reviews as well. We've launched this initiative with Alice Brigham, a premier outdoor retailer from the UK. They have a range of graphene products and they were also founded in Manchester. And it's something that makes me very proud because this is a northern powerhouse all coming together and launching a world first, which is fantastic for the north west of England.


Number one how many odd three-digit numbers are there well once again I didn't specifically say whether it involves repetition or not Usually if they don't say you assume you are allowed to repeat. How come we're late, sir? Thank you If you look at number one, it doesn't specifically say whether without repetition Probably if they don't say you can't repeat you probably are allowed to because it's not clear here again, Blaine I'm gonna take both answers So if I'm allowed to repeat an odd number has to end in a one a three a five a Seven or a nine and I'll visualize my little Scrabble bag five six seven eight So there's all the numbers in the Scrabble bag How many choices do I have here five and because I'm saying you can repeat We'll put the number back into the bag give the bag a shake. How many numbers do I have here? Nine why not ten? I can't start with zero put the numbers back in give it a shake. How many choices do I have here? Ten so if you did 450 I would accept that now if we're not Repeating what would it be? Well, you would still have five choices because it's got to end in an odd number and Let's suppose you picked a five for the very very end. How many choices do I have for the first number now? Eight not nine because I can't start with a zero. So let's suppose I put a one right there How many choices do I have now? eight 40 times eight 320 I Would take either of those answers because the question isn't clear. Oh, by the way if there's that many odd numbers grand total and if there's that many that don't repeat how many repeat Think a hundred and thirty must have like two of the same number in them because this was all of them Including the repeats. This was not including the repeats. Whatever the difference is left over How many ways are there to arrange the letters of the name do it five factorial hundred and twenty? How many ways are there to arrange four letters of the name do it? You could go four blanks five times four times three times two times one or it's also five permutate four and I think you get a hundred and twenty again, don't you oh Vandervelden okay now we're giving you a challenge one two three four five six seven eight nine ten eleven twelve twelve factorial all over two V's to ends Two D's Three ease. I'm gonna go twelve Factorial and I'm just gonna go to divided by eight times six Is that right two times two times two is eight three factorial six faster typing and you get Wow nine million nine hundred and seventy nine thousand two hundred and this brings us to our typo What I should have done is I should have made instead of having it be choose three It really should have been choose two if you have a choose three here. I first of all said, okay I'll put it into the permutate equation So it's going to be the top thing divided by the top minus a second thing factorial What is n minus one minus three if I tidy that up? And minus four so I got n minus one factorial over n minus four factorial Common sloppy mistake by the way Chelsea kids forget to drop the two hundred and ten down and Then when they end up here with the equation they forget there's a number there And so they're quadratic won't factor because they've forgotten to subtract the number over trust me I've seen that happen a gazillion times as well. So just don't be sloppy. It's an equation. It's not a simple It's an equation now when you do this I said which one's bigger n minus one or n minus four n minus one is larger than n minus four So I started to expand it and I got n minus four factorial and I actually ended up with an x cubed or an n cubed equation. I Failed it out very very quickly Minus the two hundred and ten over and that's why this is a typo you can solve this using math 11 remember doing the root Rational root theorem the remainder theorem the factor theorem and polynomial division or synthetic division all that or you can use the Polysmoke program that I've given some of you on your graphing calculator that works fine, too But a x cubed equation like this is not considered fair game for math 12. So here's the deal if you ended up with this equation and You got eight as an answer you can give yourself two bonus marks If you just guessed your way to eight I'll give you one bonus mark, I guess Okay, that number right there that three should have been a two if it was a two you get a lovely quadratic There is going to be some kind of a factorial equation on your test and your test is going to be a week from yesterday No, you're block D. Your test is going to be a week from today Tutorial Monday after school and I'll send an email out tonight as well Okay number six To simplify number six. I said I'm pretty sure these two go together and these two go together So in my mind I drew a line kind of separating them and I said 102 factorial is bigger than 100 This is 102 times 101 times a hundred factorial the hundred factorials cancel Then I said which one's bigger n minus four n minus two n minus two is larger than n minus four So I started to expand the bottom and I got an n minus four cancel cancel So I ended up with 102 times 101 divided by n minus two times n minus three I did multiply the 102 times 101 together to get 10,000 302 over that I gave one mark for the top one mark for the bottom So there is going to be a simplify some type of weird factorial expression It'll be multiple choice on your test though. I Like number seven like number well, honestly, I like every question on here except for the typo in number five But I still like the idea of number five, but with a two instead of a three You're gonna see almost every one of these in the future in some variation So committee question The first one says how many ways can you select a president a secretary and a treasurer this is not a bucket question because they're not talking about different groups and It looks like the order matters because if you pick first you're the president if you pick second You're the secretary you pick third you're the treasurer So I said this is 11 p3 or you could have gone three blanks 11 times 10 times nine This time I felt comfortable using the shortcut. I was pretty sure I was right 990 Any three people for the committee so all you want to know is whether someone's on or off the committee You don't care about what position they're in or order doesn't matter. That's 11 choose three Which was 165 and then if they break it up into groups and order doesn't matter That's when I go to this bucket and I draw this every time because it takes all of one second So I said girls and boys four girls seven boys. They want me to choose two I'm gonna choose one and the equation just pops right out 42 and the last one at least What is at least one girl mean? What are the cases that include at least one girl one or two or three? So I made a little heading I got organized. I used the same bucket from up here I didn't redraw it although on a test. I probably redraw it just so I didn't make a sloppy mistake, but I got 130 oh And remember Kellen to type this I said don't type this whole thing in do the first one Hit enter and then go second function enter and just change that number and that number to get your next term It's way faster Although I'll be honest I actually skipped this one because I just done this one on the previous line that will often be the case on these Questions often you'll have done one of them on the previous line. I Gave one mark if I saw this line here and then one mark for the answer Okay Turn the page Order matters in a permutation Does not matter in a combination Can I abbreviate those as perm and comb I guess I? Probably wouldn't on a test though license plates pause while I Take care of my late student license plates If repetition is allowed it's four letters and you're putting the letters back into the scrabble bag So it's going to be 26 26 26 26 I said that's 26 to the fourth faster typing and it's 10 10 10. I said that's 10 to the third and I got 456 million 976,000 and I believe Toronto on like Ontario. I believe has gone to four and three BC looked at that and instead they decided to allow letters and numbers to interchange Well, Ontario run out of license plates anytime soon if they can have 456 million nine hundred and six thousand Be fine Even if you remove the ones that you can't have because they're either bad words or I'm guessing nobody has a 0-0-0 or maybe the Premier does right? What if repetition is not allowed now repetition is not allowed That's actually the shortcut for that was a permutation You could have drawn four blanks and three blanks and gone 10 9 8 and 26 25 24 23 but a permutation was what we were doing when we were not allowing repetition Either of those will give you 258,000 330 sorry 258 million 336,000 And the last one was a pathway. It was a regular pathway question. I got 56 Oh, and remember there is a shortcut since three and five add to eight You could have just gone eight choose three That doesn't work for 3d But it works for regular pathway problems Can you give yourself a score not out of 18 but out of 16? But you might get the two mark or the one mark bonus add them up Pass them forwards, please pass them inwards, please. I mean We're gonna finish off the unit today. Can you open your workbooks, please to page? 400 and 12 412 Yeah I'm gonna finish off the whole lesson because that might answer the question and then we'll tackle it from there Okay page 412 and then shush So last day we looked at the very impressive sounding Fundamental no not fundamental counting principle. We looked at the binomial expansion theorem It was a great shortcut and first we learned the pattern if you just wanted to foil something out So we said if you were foiling that out that six there told you eight of the six eight of the fifth eight of the fourth Eight of the third a squared and oh that B B the zero B to the one B to the two all the way up to B to the six And then that six there said the coefficients were gonna be six two zero six choose one six choose two etc And then we also did say and the reason I said turn to this page here as we said You can also find a single term the last couple of questions that we did we said what if you just want to find one? Turn you don't want to find all of them Well, you can use this and we said the formula looked kind of ugly and the reason was we had to do an adjustment This k plus one here The reason we had to have a k plus one is because we're starting to count from zero in our chooses Somewhere we were gonna have to do some kind of an adjustment and it was easier to do an adjustment here Then it was to do it here And so this is a formula that I would put a little box or highlight around it is on your formula sheet I am gonna ask you to use it on the test and we're gonna practice one or two of these today and Then we're gonna go backwards and we'll have finished off the unit Okay, so can you turn to page 413 and we're going to do B To be together Now to be says find the middle term of that a Lot of people when they see this go. Oh mil terms three hang on Kellen. What's my exponent? Six now do you remember from last day if your exponent is six how many terms are there not six seven So if you have seven things in a row What's the middle term? It's the fourth one because you got three in the front and three in the back So here's what I said to you last day because they're asking us to find a single term I always write down this tk plus one equals and choose k a to the n minus k B to the k it takes one second I copy it right from my formula sheet But I learned over the years folks taking the one second to write that down gets rid of most of your sloppy mistakes And then over off in the margin my physics twelves will will grant a defect. I'm gonna list my data So what's sitting where the a is? to a What's sitting where the B is don't say five? negative five What's and this is the easiest one that kids always forget six and Then what term number did we want to find term number? What? So I always write down term for right here, and then I can say if I want term for what's k It's not for what is it really ah? K is gonna be three And now it's Complicated plug-and-chug, but it is plug-and-chug It's going to be and six Choose k three to a To the n minus k in your head, please three negative five To the three and then I'm going to go to my calculator and do all of the numbers So I'm going to go term by term here certainly in the front. I'm going to have a six How do you get what what term number do I want? term number four What does k have to be to get a term for there? Okay, that's that's why Justin that's why I always write this above if I do this and I write that 99% of the time I'll catch. Oh, yeah, okay. It's not for three. Okay That all right. Okay. Okay. Okay. Okay. Are you k okay? Okay? Numbers, so I'm going to go look six choose three Times now in here. Can you see I have a two cubed? Two to the third times and here I have a negative five cute Negative five to the third The coefficient is going to be Apparently negative 20,000 Did I get all the numbers? I think I did yes negative 20,000 What are my variables? eight of the third and The second term didn't have a variable in it And again, Leslie, I'm going to say to you I defy you to find a better shortcut to do this in one line Otherwise you would have had to write out all six Multiply the last two get an answer multiply the third one in get an answer Well, the fourth one in get it all the way up till until you had all six of them And then gather like terms and hope that you hadn't made a math mistake by then and then you'd find the center one Is that okay? jogs and memory Okay, I like number four. I like number four. I like number four Number four is what we've just done but in reverse Number four, here's what they have said One term of X plus something to the 10th worked out to that What does that something have to be? Now the only thing I don't like about this is what letter did they put right there? a What letter did we put right there in our binomial expansion theorem? Let's all of us right now make that a b and that a b so we're not confused silly Sillily a word Because they're asking us to find one term.  No, it's on your sheet next to ncr and PR Make sure you know where it is though And I'm gonna list What's sitting where the a is? x What's sitting where the b is? b What's m? 10 Here's my problem. I don't know what term number this is. I don't know what term number this is except You see that x? That's sitting where the a is don't write this down. Just watch. I'm gonna make a little argument here. I Think the first term would have had an x to the 10th in it because there's a 10 there And it would be a to the 10th the next term would be A to the 9th except a is x it would have an x to the 9th in it for the next term having it X to the 8th, right? Okay. I Think I can figure out What term this is all of you get your 10 fingers out get to count on your fingers today. Are you ready? You need 10 so the first term has an x to the 10th. Do you agree with me because it would be a to the 10th What would the second term have x to the then? then then Then when does the x to the fourth appear term number? What ah, huh? See how I got that we counted our way there and Justin That's going to let me write this magic thing right here term seven because soon as I write term seven. What's K? Six I don't know of another easy way to get there aside from counting on fingers. What if the exponents 20 well? Use your toes I guess but Figure it you'll be able to count Okay What's n 10 choose? What's K? six x to the Fourth hey, which is what I wanted see it. Yeah, okay good good B to the 6th. What is 10 to 6? 210 okay, so I'm going to write this 210 x to the fourth B to the 6th But unfortunately right now that is not enough If I write don't write this next part down if I put term seven right there I got a problem wait wait wait wait wait wait wait. I'm not going to put term seven right there I know what term seven worked out to they told me what a term seven worked out to What I'm now going to do is I'm gonna say this was three million two hundred and eighty one thousand 250 x to the fourth See, I'm working my way backwards very very carefully. Why is that so nice? What happens to my x to the fourths? I'll take that and How would I get the B to the sixth by itself? How would I move this two hundred and ten over? divide by two hundred and ten divide by two hundred and ten and I'm gonna get What is that thing divided by two hundred and ten is it fifteen six twenty five? Okay, I get fifteen six twenty five equals B to the sixth. How do I get rid of a sixth power? Sixth root which is on my calculator We're oh in the math submenu. So the final answer B is gonna be the sixth root of fifteen six twenty five and With an ending like five, it's gonna be five or twenty five. I'm almost certain maybe 15 But I'm pretty sure it's gonna be five or twenty five. How do I do six through six math? Oh There's the end through option five of 15 625 You know what my original binomial was x plus five to the tenth That's what would give me Somewhere along the way a three million two hundred eighty one thousand two hundred fifty x to the fourth So I am gonna give you one question and it's gonna be a written question Where I ask you to go backwards where I say here's what the term worked out to you You'll have to look first of all at the exponents and count your way to figure out what term number it is and Then carefully substitute everything into the term equation until eventually you'll end up with Something to an exponent equal something how to get rid of the exponent take the root. I like that question. I Like that question. I like this question. I like this question example five. I like And then we're done back then we're done the whole unit Number five has some vocabulary it says this Find the constant term i.e. the term independent of x and the expansion of that What the heck do they mean by this do you notice this first term has the x's on top Do you notice the second term has two x's on the bottom? Somewhere along oh by the way, what's the overall? What's the exponent? 15 how many terms are there? 16 somewhere in those 16 terms because you have some x's on top and some x's on the bottom Somewhere all the x's will cancel And when all the x's cancel you know what we call that a A constant term or we say Connor it's independent of x So what this question is asking is? What term is it but first I need to know when it occurs You see why x is on top x is on the bottom somewhere. They are going to cancel You say this again x is on top x is on the bottom somewhere. They're going to cancel That's going to be a that's going to be b and what I'm going to try and do is figure out when this term appears Do the x's cancel on the first term on the second term on the 10th term on the 15th term when do they cancel? And to do that kellen i'm going to look for a pattern What's the exponent? So i'm going to write a to the 15th a to the 14th b to the 1 a to the 13th b squared because if I can't spot the pattern after three terms I probably don't deserve to be in that 12 But i'm going to go even more Simplified than that All I care about right now kellen is finding out when the x's cancel So even though there's a two here. I'm not going to worry about it temporarily And even though there's a negative one on the top. I'm not going to worry about it temporarily All I want to know is when do the x's vanish? So I'm going to argue that this first term would have An x to the 15th in it. Yes. I know it was a two cares Because a to the 15th and there's a there's a one on this x This second term would have an x to the 14th times It would have a single x squared on the bottom Because b has an x squared on the bottom Stephanie how many x's on top grand total how many on the bottom how many left and where I wonder Steph if the pattern is that these are just going to go down by three if that's the case I can count my way there and figure this out in other words. I wonder if this is going to be an x to the 9th Because it looks like it's going down by three. So let's find out. Let's find out. Okay So here I would have an x to the 13th Times and I would have a one over x squared squared How many x's on top martin How many on the bottom when you square the square how many left and where? Have we spotted the pattern after three examples it looks like we're going down by threes Get your fingers out So the first term Hannah is going to have x to the 12th second term is going to have x to the 9th then Sorry 15th x to the 15th. I'm sorry x to the 15th then x to the 12th then nine then six then three Then when do I have zero x's when do the x's cancel what term number? aha Okay All that work was to tell myself. I'm finding Term six. Oh, but above it. I'm going to write term k plus one equals n choose k A to the n minus k b to the k I guess you can go michel I'll do my little listing my data Going what's a Two x and now we're going to do it properly I ignored the coefficients because those weren't going to change the exponential pattern And that's all I was interested in now. I'm going to do the coefficients. I agree What's b careful? It's not one over x squared Negative one over x squared n is 15 k is Justin can you tell me what k is? Five By the way, I guarantee you if this is multiple choice I will have one answer for k equals six because that's the most common mistake And now it's plug and chug complicated plug and chug the plug and chug It's going to be 15 choose five Two x to the 10 negative one x squared To the fifth By the way, sally, how many x's will I have on top right here? Sorry, I'll scroll up so you can see because Justin's in your way. How many x's will I have right here? How many x's will I have on the bottom right here? How many left we we got the right term? It's the constant term. It's the term independent of x all I need to do now is the numbers So the number is there's going to be a 15 choose five times Two to the what what's the exponent on that two sitting inside the brackets? two to the tenth times negative one to the what what's the exponent sitting on the negative one Five now. What is negative one to the fifth power? Is it negative one or positive one? So I'm going to be a bit lazy chelsea I'm just going to go time negative one without adding the exponent because I can do some math in my head negative three hundred and seven no negative three million seventy five thousand seventy two 307 5072 So I'm going to give you one like this this one probably multiple choice The previous one though definitely as a written question and That I think I said to you guys in the last lesson This shortcut does have a few curve balls. These would be the two kind of curve bally questions. You need to practice these so I already assigned number one And I assigned seven a and seven b And c and e is that right? Yeah, and eight so I think now I can also say try nine b Now they've told you that you want to find the term that has the x to the fourth y cubed in it You'll have to use the counting on your fingers trick to figure out when that term appears when well What would the first x have on an x to the what? What would the first x have on an x to the what? seven then Then okay, you can figure out when the x to the fourth will appear count on your fingers That'll tell you the term number and then use t k plus y equals n choose k a to the n minus k b to the k 10 Feel free to change that a to a b if you want to because I just don't like the fact that they put an a where I'm used Having a b. Why can't he has a 11 and I think I already signed 12. Yes, I do So there is the homework part one and I have for you And unfortunately you're going to have some homework this weekend folks But the goal is for your five-day weekend to have no homework for the Easter weekend I have for you a big take home quiz summary of the entire unit as well And that's what we're going to be going over first thing on Monday. Okay, so let me hand that out