Key Functions and Principles of Lesson Planning Lesson planning is an indispensable part of successful lessons. Generally speaking, lesson plans have various functions that are conducive to the classes. The function of a lesson plan First and most importantly, lesson plans can help teachers think and deliver classes logically through different stages of the classes. It can also give teachers hints needed. In teachers' plan lessons, there are several aspects that need to be taken into consideration, such as lesson objectives, possible difficulties and skill and so on. Second, it is a record of classes that have been done and materials have been used. On the one hand, even though teachers have good memory, it is almost impossible for them to remember the classes they taught several months or years ago. On the other hand, if the teacher is sick, other teachers can help deal with emergencies with lesson plans. Thirdly, lesson plans are working documents that can help teachers keep on the lesson objectives. In my experience, sometimes I can t finish all materials that I have prepared for the students. However, I can keep them in lesson plans and teach students in the next class if it is very necessary for them to practice more on certain target languages. Lesson planning principles When writing a lesson plan, some principles that teachers should bear in mind. First, it should be structural and logical, and try to use the same structure in classes. For example, I use the structure review the last lesson, learn new target languages, giving feedback. Second, keep it simple.In my opinion, lesson plans should not be wordy. Teacher cannot rely on them too much or the class will lose flexibility. Third, write the anticipated time for each section and stage and try to control the time well, or teachers cannot finish the targeted objective for the lessons. Fourth, check the balance of skills In the TEFL course, I learned two skills, receptive skills, which refers to listening and reading skills, and productive skills speaking and writing skills. What should a lesson plan include? Standard lesson plans should cover the following basic information. Students s. 1 to 1 Students name, number of students, teacher s and observer s name, the date and time of the lesson, class level, learning objectives, personal aims, teacher s aims, key language points, students and teacher s anticipated difficulties, the ways, techniques to overcome those difficulties, teaching aid, procedures, phases, time for each procedure, interaction, tt slash ts slash ss. The esa method Through my TEFL course, I learned three kinds of esa lesson structures that are often used in teaching, straight arrow esa lesson, boomerang esa lesson and patchwork esa lesson. Here, esa is short for engage, study, and activate. No matter which kind of esa structure is used in teaching, all classes should start with engage and end with activate. Some teaching techniques are shown in the following paragraphs. The engage phase is designed to arouse students s interest, lead them to think in English and get them ready for the class. In my experience, engage is often used as a warm-up part at the beginning of the class. Games, pictures, stories, music can be used as tools to engage students. If possible, it would be better if teachers link this part with the target languages of topics that students are going to learn later. The study phase is designed to let students focus on the target language. In this phase, teachers usually start with elicitation. When eliciting information from students, teachers should write it down on the board, which might be useful for the following activities. Then, teachers should present the target language point. After that, some grammar exercises or drill practice can be used to improve the language accuracy. One thing that teachers should bear in mind is that students should be asked some ICQ, instruction checking questions, before handing out the worksheets or handouts. Lastly, teachers should check students' understanding and answers then give correction if needed. The activate phase is designed to encourage students to use the target language they learned in the above two phases. Several activities like role play, group discussion or debates can be conducted. Here, the focus is on fluency rather than accuracy on grammar or pronunciation. The activities should be communicative for students. Teachers should not interrupt students. Instead, they should be monitors and taking some notes of common mistakes. After finishing this part, teachers should give students feedback on their performance, what they have done well and what they need to work on. While giving feedback, teachers should follow the principle of feedback sandwich colon praise, correction, praise. Above, I wrote down the key information about lesson planning that I have learned in the course. Indeed, I learned a lot from the course, and I am trying to put his knowledge into practice. Are you planning to teach English abroad? Speak with an ITTT advisor today to put together your personal plan for teaching English abroad. Send us an email or call us tollfree at 1-800-490-0531 to speak with an ITTT advisor today.


Good afternoon, everyone. I'm Ann Williams-Eisam, and I'm the Deputy Mayor for Health and Human Services. And I'm joined at this week's briefing with Chief of Staff Camille Joseph-Farlick, Chief Counsel Lisa Zonberg, and Asylum Sipker, Application Health Center Executive Director, Marcia Ginla. From the outset today, I want to reiterate what we're seeing on a daily basis. We have been responding to this humanitarian crisis for more than a year now. And in recent days, we are seeing a significant surge in arrivals. It is a very frustrating moment for all New Yorkers as we have been responding to this crisis, managing the inflow, and here we are, again, seeing spikes in arrival numbers. We have called on the federal government to provide additional support in the form of financial assistance, allowing work authorization for more asylum seekers, a coordinated decompression strategy to relieve the pressure on New York City and the other cities around the country, and declaring this a federal emergency to unlock additional tools to help us respond. I'll now turn it over to the Chief of Staff to provide an update on the surge and what our teams are seeing. Camille. Thank you, Deputy Mayor. So I just want to build a little bit on what the Deputy Mayor said about the surge, and I know we touched on it a little bit yesterday. Over the past few months, we've seen approximately 300 to 400 people arriving every day. And with this new surge, we're seeing upwards of 600 people a day showing up. We mentioned yesterday that we had six to eight buses that were expected to land yesterday. We additionally are expecting more buses today. And in addition, and I want to make sure that we underscore this, so these buses are on top of the hundreds of people that are coming into New York City in all of the other ways, on regular commercial buses, planes, trains, and cars to New York City. Last week, Texas Governor Abbott centralized the dispatch, command and control functions of the deployment of buses through the Texas Division of Emergency Management, and he has significantly ramped up the number of buses that are being sent, not just to New York City, but other cities as well. While before, we may have received a few hours' notice that buses were coming through back channels and different organizations, even including information on the manifest numbers of how many people were going to be on those buses, this change means that we no longer get even a scant heads up. And so without this information, it makes it increasingly difficult for us to calculate on a day-to-day basis what our capacity is and our ability to respond is even more challenged. To show you the impact here, the number of chartered buses is almost tripled over the last couple of weeks. During the week of September 11th, we received approximately 10 chartered buses. During the week of September 25th, we received 27. This equates to hundreds more asylum seekers arriving to New York City every day. We are once again, as we have regularly said, managing all of this, significant ambiguity and uncertainty, doing the best that we can. And there is a huge team of volunteers, but more importantly, New York City employees who are managing this crisis every day. We are not receiving the cooperation or the information that we need from our counterparts across the country. And while our teams continue to respond 24-7, as we have said previously, this is not sustainable. As the deputy mayor mentioned last week, this is also on top of the city of El Paso, resuming their busing operations in light of the surge that they are receiving at the border. We continue to push our state and federal counterparts to provide the support that we need to highlight the round-the-clock work that our teams are doing to manage this national crisis. I would actually say it's an international crisis and to receive the relief that the city needs for more sustainable response. We absolutely appreciate the actions by Governor Hocal to support our case management efforts. We talked about this earlier this week, as well as the White House's recent action on temporary protected status for Venezuelans. And we look forward to our continued partnership on this issue. Thank you, Chief of Staff. And you highlighted it, so I also wanted to say it again. We're so proud to announce that partnership that we have in the additional support that we're getting $38 million from Governor Hocal and the state to support the efforts to help migrants in our care get on a path to work. With the expansion of eligibility for temporary protected status, what you'll hear us call TPS, that happened yesterday. This new funding will now allow us to build on the incredible work of the Asylum Seeker Application Help Center that has already helped complete 5,000 applications. This funding will help us scale our efforts in three major ways. First, we'll use this to open additional application help center satellite sites across the city, something that many advocates have been asking for. Second, we'll be launching roving teams within the city's emergency shelter sites to help asylum seekers apply on the spot for TPS and work authorization. And thirdly, we'll be scheduling those who enter the shelter system and are eligible for TPS for appointments to immediately apply upon entering the city's care. All of these three strategies have the same goal in mind, helping people connect to work and ultimately move out from the shelter and build their own lives as quickly as possible. As we work to scale these efforts, we also continue to call on the federal government to approve pending work authorizations so they don't get hung up in the long bureaucratic system slowing people's ability down to independently support themselves and their families. Ultimately, the American dream doesn't work if people can't work. You know that people seeking asylum want to work and they made it here to the city for that reason. We hear it over and over again. The first thing that they tell us is that they want to work. The partnership with the state here is so crucial because we know that this is truly a national issue and everyone has to play their role. So thank you again, Governor and her team. And with that, let me tell you some of the latest numbers. As of October 1st, we have had over, we have over 116,700 people in our care, including over 63,000 asylum seekers. Over 122,700 asylum seekers have come through our intake system since the spring of 2022. We have opened 211 sites, including 17 humanitarian relief centers. And last week from September 25th to October 4th, 1st, more than 3,700 new asylum seekers entered our care, which is hard to believe. I think it might have been one of the biggest weeks that we have had or definitely approaching it. 3,700 new people coming into our care. Before I open up for questions, you all know that the mayor is traveling today to Latin America to see some of the issues up close and to advocate for stronger Southern border solutions working with partners in Mexico, Ecuador and the region. We have said it from the beginning, but it bears repeating, this is a global humanitarian crisis. And once it hits the United States, it's a national crisis that requires a national response. I'm not sure that this administration can say it any clearer. With that, I'll take some questions. How many applications that could support filing or how many lawyers that could provide for? Awesome, why don't you walk us through it? Yes, so the money will be split between case management and expanding the footprint of the Salem Help Center. Our goal is to do hundreds of TPS appointments per day in November. And our goal is to really make outreach to identify, screen and make appointments for all eligible Venezuelans by the end of the year. I'm sorry, I can just ask a follow up too. Do you have a sense at this point having done some of the surveying and going back and asking people what percent or number of the people who are currently in your care or have come through the city are actually eligible and likely candidates to get asylum or any of the other protections to allow them to remain in the country? The assessment that we have is still ongoing. When that's done, I think we'll share some numbers. But we filed over 5,000 asylum applications so far and that's for asylum and for TPS, the eligibility is a lot more clear cut, right? You would have to... And so we believe that there's a large number of Venezuelans that would be eligible. Anecdotally, since we started doing this yesterday at the Help Center, most of the Venezuelans that have come by are eligible and interested and are now in the process of filing for TPS, meaning identifying their documents and preparing for that. Yeah, so this is a question about the court letter in the Callaghan case and this would be for counsel. Looking at the conditions at which this request would kick in, there's this sentence at the end that talks about it excluding, quote, any times during which a state of emergency related to housing is in effect. It's on the bottom of page five and I was a little confused as to what that means. If you could just sort of like generally explain the formula for when this suspension of single adult shelter protections would kick in. Well, thank you for the question. Let me just start out by noting that when Callaghan, when the consent decree was put in place in 1981, it wasn't a law, it was a settlement agreement mutually agreed to by the parties and then ordered by the court. And just for a moment of perspective, in contrast to what the deputy mayor was talking about in terms of numbers, you know, if you go back into the archives of newspaper reporting from 1981 on the immediate impact of the Callaghan decree back when it was entered, I'm looking at an archive of newspaper reporting, it was reported that the immediate effect was for the city to find 125 beds right away. And where were they, was it reported that the city would find those beds? Upstate in the CAT skills. It's just a stunning contrast to the numbers of what New York City is dealing with on a daily basis now. And so the letter that was submitted yesterday to the court and there will be anticipated motion practice to follow, which will spell out many of the issues you're talking about, how will formulas work, what relief are we exactly seeking? The main, there are two main points to the city's anticipated motion. Point number one, sensible relief from a decree entered over 40 years ago that was never intended to apply to a humanitarian crisis that we're confronting present day. And the second main point of our letter is restore New York City to equal footing with the 57 other counties of New York State so that New York City notwithstanding how our gargantuan efforts as a legal matter restore us to the same exact footing so that the requirements that we must follow during this humanitarian crisis are exactly the same as those applicable to every other place in New York State. Sorry, we'll go to Mark. We'll come back to you if you have time. Hi, quick question. So when you talk about relief in the court, what is the end goal here? And I know you mentioned the New York Force. If this were to apply today, how would the city use that relief? Would they just say, okay, well, we maxed out our beds, we maxed out our space, so you guys are gonna have to find another way? Like, what is the strategy going forward? And is there any data of anybody that you've gotten through the process that has maybe applied for work and has gotten out of the system successfully and is kind of on their own? Does any of those stats exist? So I'll just address the legal component and then if others wanna talk about operational. Legally, I would say that the letter that was filed yesterday with the court represents an important step. I don't, it doesn't articulate necessarily a legal end goal. It makes clear that at this particular juncture, New York City is not seeking to terminate the Callahan decree altogether. Rather, it's trying to meet the emergencies of the moment by seeking to modify or rather terminate, modify or suspend. Modify or temporarily suspend the decree in a way that brings sensible relief because from a legal perspective, it is just not sustainable for this consent decree from 40 plus years ago to be imposing requirements and the constant threat of lawsuit as New York City needs flexibility to navigate through a humanitarian crisis. I can't speak to a legal end game. What I can speak to very forcefully is the desire to get immediate relief, to meet what is just common sense and that will put New York City on equal footing with the rest of the state right now. So I think I'm answering your question when I say, we don't talk about this often, but with 122,000 people coming, but only 63,000 being here, it means that many have left the system and we know that many people are working, probably some not in the way they should be. Others have joined family members and with friends and so part of our case management is to help people think about what that next step would be for them, help them with their paperwork and help them to move along. We talk about this. I don't think there's anyone else in the country that's giving 30 days, 60 days as much as we are. Most of what you'll see on the border is people get 24 hours, 72 hours. So we're trying to really use that time to get people safely on their feet. Jeff, Mark, Mark, let's just try and get to everyone and then we'll come back because we also have folks on our backs. Jeff, go ahead. What you just mentioned actually, the 30 day shelter notices have been in effect now for a couple of weeks I believe. Some council members are pushing back against that and hoping to block it. Does that policy, the 30 day, does that conflict with the Callaghan decree and then just broadly like why is it necessary to do that 30 day notices? Maybe I'll start. And I think we have from the very beginning trying to be as innovative as we can with opening up over 200 sites and 17 humanitarian centers. We know that we were really difficult in terms of finding spaces. So what we wanted to do is we really wanted to focus on exit strategies and really again for this population of folks that really didn't come here to be in a social safety net or a DHS system, a homelessness system. And what we're finding is if we can get people their IDs, if we can get people reticketed, they actually would rather move on than live in a congregate setting. Many of the families, again, it's not a panacea to raise your child in a hotel room. And so it was one of our strategies on the 30 and 60 days in order to make room for folks on the front end. And Jeff, during the surge, we're very, very, very concerned about families with children. And the mayor has always been clear to us that that really should be the priority is really making sure that we're taking care of families with children. So we are balancing all of those things together to make some impossible decisions. I think I would just add to that that the combination of the time limit with the really aggressive case management that we're doing, it helps people to figure out what their next steps might be. Two questions. The first is in May, Mayor Adams had said that about 50% of hotel rooms in the city were occupied by migrants. What is the updated percentage? The second question. Sorry, go ahead. Sure. And the second question is from Ms. Sorenberg. Assuming you prevail and the standard you outline, letter that you filed yesterday with the court is put into place. Would TPS folks, whether they have a pending application or whether it's been granted, be treated any differently for the purposes of the right to shelter than a native New Yorker? I know OTA道 regulations require that they're not the distinction. Hotel first? Hotel first, yeah. I don't know if we, do you know the percentage? No, I don't know the percentage. We can get that to you. But what I do want to just say is that we're also looking at the cost of some of the hotels. When it gets to be high season, they go up, I think right now we have a couple of leases and our contracts that are coming down and people want even more. So there's situations where people are really using the situation in order to try to get more money from us and we're trying to be very careful with our issue around personnel, sites and how much money we are spending. Is it getting cheaper now or more expensive? More expensive. More expensive. When it's getting colder? Well, because people know that we're desperate. And so they're raising the price on the hotels when the hotel contracts come up for renewal. Meaning that the hotels are breached. Correct. Just to your question, I'm gonna stick as I need to very closely to what's in the public record and what the city has filed in its letter and I'll just point out that the letter does not outline any difference in treatment of anyone. It outlines a general approach for modifying or temporarily suspending the decree. No, but migrants would apply to a traditional homeless population. I'll stick to the response I gave. Ramping up the number of migrants being sent here and across the country as well. Is there a communication between the two administrations? If so, what is what are they like? Meaning do we have communication with the state of Texas? We've been given a telephone number for essentially their bus information line and so we call that number as regularly as we can to just get a sense of how many buses may be coming. They don't really give us a lot of information. But I am certainly in touch with the offices of several other cities, particularly Chicago, where we're just sort of trying to coordinate and let them know, share information about what we know, what we're expecting, what we're seeing, as well as just continued conversations about best practices as we work through the crisis. And we have the blessing of some of the NGOs who try to also give us a heads up when they're coming. If you can imagine sending a bus at any time at three o'clock in the morning with families and children. And it just, it feels cruel in a way that it doesn't need to be. So we're just not clear why that's happening. So. Do you want to just ask all your questions at once? Sure, I'll try. One, can someone sort of explain what the change has been in flow and outflow from the shelter system since the imposition of the 30 and the 68 rules? Two, do you guys have a count of how many of the buses are actually coming from Texas as a percentage? You said there's 27 total that showed up. How many of them had Texas plates? And then three, the legal filing. The underlying premise of the rent stabilization law in the city is that there is a housing emergency. So what exactly is the trigger for this or has the city basically written a legal standard that would abrogate Callahan forever? So I'll start with, I think the first two questions that you asked in terms of the bus plates, I'm not sure. We just know on average how many buses we're getting and they're coming from Texas. Again, the vast majority, many of the people that have been coming are coming in in a variety of different ways and they come directly to the Roosevelt. We don't always see how they're getting here. So we don't necessarily have a record of how many came in on a plane, et cetera. But with respect to the uptick in buses, we have a pretty good sense of that. And so we know that there's been a significant uptick. I don't even remember how many we're expecting today. Maybe it's eight. I think so. Yeah. You're all from Texas? Yes. Callahan. Yes. I feel like you asked me about 30-day and 60-day notices. Did I make that up? No, I didn't. Okay. So how's it changed the influence on the output? So it's like the shelter population sort of stabilized. It is the rate of increase has stabilized, right? And before this influx, that was very kind of encouraging. So we have the exact number is we've, about 13,500 people have received 60-day notices and about 2,100 people have received 30-day notices. But we'll get you the exact numbers. I would say that we've seen about 1,500 to 2,000 people leaving a week. And which, again, with the numbers that we get, that's why you're seeing the rate of increase slowed down a little bit. But if we continue to get more and more through the front door, we can't even really see our exit strategies bare fruit because we're getting sort of the amount of people that are coming through the front door. To your last question, you noted that New York City already has housing availability. Issues, what I would say in response is that it's the city's view included in the letter that we filed with the court yesterday that the Callaghan decree was never intended to require the city to build and finance an endless supply of housing for, and let alone in the midst of a humanitarian crisis. And so that is why we've taken the first step to seek sensible relief that puts New York City back on equal footing with the rest of the state. But if the trigger is a housing emergency, what's the emergency management stabilization? Like, can you square like how? We've been in a housing emergency then for 50 years. We're trying to be respectful to your colleagues, so we're gonna go to WebEx. And we'll have more time to talk about it once we see what the relief is. It's okay. All right, Michael Gartland, please unmute yourself.  Can you hear me okay? Yeah. Yep. Okay, so my question has to do with this provision in the language you guys submitted regarding when right to shelter is suspended. So it says that it's basically tied to the daily number of single adults seeking shelter that being at least 50% greater than the daily number of single adults seeking shelter before the declared state of emergency. So before the declared current state of emergency, what was the percentage that put it over the limit? Thank you for the question. I'm not able to give you a precise answer now. What I can tell you is that if the relief that is outlined, the former relief outlined in the letter were to be imposed or granted today, New York City would meet it. I mean that that much I can say that we would under that formula, we would meet it. And again, the idea really here is that the city has not moved at this juncture to terminate the decree. It is looking for sensible relief. We also reserved rights to seek any other form of temporary relief that we think is appropriate. If we're granted the court's permission to move forward with motion practice. So we're looking for sensible relief to acknowledge that this is humanitarian crisis that Callaghan, its onerous requirements have become outmoded to the crisis at hand and that we need to be put back on equal footing with the rest of the state under the state regime for shelter. All right, Jeff Mays, go ahead. Question. I just wanna follow up on what was asked just now. I'm wondering, before we started receiving the influx of asylum seekers, the city already had a record number of people in shelter. So I'm wondering how do you address people who are concerned that the changes that you are requesting can eventually once the crisis is resolved or slows down, that those changes can be used to sort of prevent New Yorkers who are already here from accessing housing. And then my second question is, there's been some concern about whether this will eventually affect families. I think the target now is single adults. But what do you say, how will you prevent these changes from also allowing the city not to house families with children? First, let me just be clear that the relief that's addressed in the letter that was filed pertains only to single adults. So it does not address families with children. And we should be clear about that. And then in terms of, I think the question was, would things roll back to the way they were before this crisis, if the crisis comes, if and when the crisis comes to an end? And what I would say again, without going beyond what's in our letter is that we have sought temporary relief to meet the needs of today and this present crisis. We have not sought permanent change or termination of the Callahan decree. My first question is on the 412 people that were awaiting placement yesterday, are those single adults, any families? What is the number up to as of today? And then I'm wondering about the 38 million and legal aid, is any of that going towards the asylum seeker or towards the TPS and work authorization applications? Cause I know those fees are like at $500. So is that any of that money gonna help the migrants up with those fees that are associated with those applications? Masha, why don't you start? No problem. So we're exploring that at the moment, what we're doing is filing fee waivers for all applicants. They are all eligible for fee waivers because they're living in shelter and we can use that to waive the fee. The con to that is that it's a little bit more of an onerous process, but that price tag for work authorization should not keep any of our clients from filing. We're gonna work through that. You've got the first question was about the amount of people that we're seeing at the Roosevelt and are there majority families with children or what does that look like? So as I sit here, I'm not sure exactly what the numbers are today. I know we had approximately 412 yesterday. I don't know if our buses have actually arrived. So we're sort of monitoring all of that. We mentioned yesterday, there is a likelihood that we are going to see an increase in lines. There's just a huge volume of folks that are coming into New York City. And again, the unpredictability of when the buses are going to arrive makes it challenging, but we are running a 24 seven operation. So we will continue to do the best that we can. And we can get you specifics on sort of where the numbers land at least at a certain point today. Good. Oh.


More Buried Treasure.  Again, it started with in vitro studies. Oral cancer, one of the 10 most common cancers in the US, with a flip of the coin death rate. We can reduce our risk of oral cancer by avoiding all forms of tobacco, restricting alcohol consumption, avoiding obesity, and eating at least five servings of vegetables and fruits a day, as well as shooting for fewer than six lifetime oral sex partners, and avoiding prolonged marijuana use, meaning more than about 20 years. What if you already have pre-cancerous changes in your mouth? Well, black raspberries appear to selectively inhibit the growth of both malignant and pre-malignant cells, but not normal cells. That's what we want, but this was in a Petri dish. So they took some folks with pre-cancerous growth in their mouths, so-called oral intraepithelial neoplasia, and had them rub a black raspberry gel on it for six weeks. Like the esophageal study with strawberries, most of the patient's lesions improved, including cases of complete clinical regression. Now you see it, now you don't, thanks to just berries. They were able to follow a reversal of genetic changes that led to the silencing of tumor suppressor genes. They used a gel just to get the berries to stick to the lesion, so they didn't have to have people eat berries all day. Now they're getting even more high-tech, developing injectable, millicilindrical berry implants, unlike standard local delivery formulations, which require multiple repeated dosing throughout the day, implantable vehicles. Alleviated concerns with multiple dosing schedules and poor patient compliance. They fill up these little microscopic barrels with the black raspberry powder, inject them into the lesion, and then they slowly kind of dissolve, releasing their phytonutrients over a whole month. Now for those who'd rather eat their berries the old-fashioned way, unfortunately pretty much have to be in Oregon the three weeks in July when these particular berries are harvested to get your hands on them. I've never seen them frozen in stores, and you can order them online, frozen with like 20 bucks a pound with shipping. The freeze-dried powder is comparatively cheaper, but you know I've always wondered about how much nutrition may be lost. Well, there's finally been a study. The antioxidant concentration was measured in fresh, frozen, and freeze-dried strawberries and strawberry jam, with the intent of measuring antioxidant content of foods typically available to consumers in grocery stores. On a gram-for-gram dry weight basis, the freeze-drying holds up remarkably well, even better than freezing. Jam, though, presumably because the heat processing really does take a hit. On a consumed weight basis, though, the freeze-dried do shine, but just because an ounce of dried is equivalent to about a cup of it and a half of fresh berries.


Welcome to Toffy TV, it is the instant match reaction Manchester United to Everton Nail, a very very comfortable win for United and very very own Everton in the Dijera really. A very very disjointed poor display and quite frankly I'm still scratching my head to work out what Sean Deish was trying to do with that team today. Of course he had to make a change with the Corey being out and I think he got it wrong. I think he moved too many moving parts by being in sims in and moving grey into more of a number 10 role. A Wobe was still on the right and we had a really high line as well and it just didn't work but on the more important thing I just don't know what he was trying to do. Because if you're going to play a high line you've got to press high and we never did that and I just think he got it spectacularly wrong and really without Jordan Pickford it could have been really embarrassing today. I think the performance was bang average but Jordan Pickford had to make 7 saves. Manchester United in the first half had the most shots of any team in the first half of a Premier League and that really doesn't tally up with what we've been doing under Deish. Under Deish we've been consistently strong at the back and good off set pieces and basically just waiting for our opportunity to hit teams. Sometimes through luck and sometimes through set pieces but yeah it was just a strange one. I just don't think any of it worked. Number one I mean you've got two in my field, you've got Ghana or Onana and Onana for me is not good enough to play in a two. He's been getting increasingly worse recently. I'm sure playing at midday when you can't take any fluids on is a difficult task as well and that's maybe why he and Ghana were taking off after an hour. I thought Ghana did quite well today considering he was the only player in our midfield but you've got to ask more questions if you're going to be that reckless and we didn't. Other than that, Onana had a header that he should have done a lot better with and the Sims won that very much like Tom Davis last season at Old Trafford almost couldn't believe he had that much time and space to hit across it. As I said, I'm not really sure what the manager was trying to do because at one point in the second half I looked at the average positions of our players and Gray, Sims and O'Walby were all playing within the same half of spaces each other. They've got all that data they should be able to tell the players or change the players positions on the pitch. But you've got to be better and we're not that good. Let's be honest, once again I've watched Gray, O'Walby and Matt Neil do absolutely nothing in the game of football. People keep on telling me that these are good players and then I watch you with my own eyes and I look at them and I just go, aren't you supposed to be able to do something? So straight away you're at a disadvantage because you're trying to attack and players can't attack but nothing about them. Ella Sims again felt sorry for him and don't think he's being played up front on his own at now at Old Trafford and Field and stand for bridge. There is three starts I think for Evan and in all three games he's had nothing. I mean he should have done better with the one opportunity, granted that. But he doesn't see the ball for most of the game. He just doesn't see the ball for most of the game but as I said, if you go into Old Trafford you've got to set up. You've got a man United on the good side, they've gone into third, you've got to set up in a way that help get some structure to the team. Where was the structure today? Where was the structure? There was absolutely no structure to the side at all. You've got a high line. I mean the mad thing is three out of back four are slow and they targeted the fastest one in Ben Godfrey. Probably because the start position is so high but luckily we got away with that most times because of his pace. But you can't start with a line like that if you're so slow at the back. I'm playing two in midfield with one of them being an O'nana. You're never going to win the battles to control the game. It is all about controlling the game. That's what it's all about. For me it should have been a straight swap with Tokore going out and either Tom Davis or Ghana coming in and then pushing O'nana maybe a little bit higher forward in the three. You've got to be able to control the game. You've got to stem the opposition. Let's be honest, it's not like when we were at Stanford Bridge where they were having loads and loads of shots. Man United at the right time could have been four or five nil up. It is only for Jordan Pickford. That could have been a massive embarrassment today. For me it comes down to the poor set-up from the manager and to be fair that's probably the first time he's got it wrong. Because I think in every other game and even at Arsenal I think it was working till they get the goal and obviously were gifted the second goal. I think today's the first time under Dice that a team has really dominated us and we haven't had a sniff. And considering we've been to maybe a landfill as well but considering we've been to Old Trafford Stanford Bridge, the Emirates and Amfield that's not bad. So I think he obviously brought me a link over half-time. He obviously changed it and decided that we needed to tighten up first and foremost. And that got the desired effect. The second goal, the first goal of his own are checking out isn't he? He just checks completely out and lets Mac Thomony run off him. The second goal is saying he makes a mistake and they punish you for those kind of mistakes. And that's it isn't it really? We had one chance with Ella Sims as I said. Oh no and I had a chance. I thought when Tom Davis and Ghana come on we looked a little bit brighter. We kept both of the board a little bit better but then by that time they haven't got their second or something like that. But they've been in cruise control at that stage. They've been in cruise control. But listen, I'm not going to sit here and rant and rave. It's one game. The manager has to lay him from it. The players have to lay him from it. He has to go back to what he knows and maybe the sad thing is maybe that's the line up that you start at Fulham next week but maybe now he'll be pulled off that because of the result. I don't know. I don't know. But it was just strange that you know why didn't he play a wobby in the middle of the park and just have grey on the wing and then Sims up front. Even if that was just for the first half just to see how it goes just to get yourself into the game but we just started with such an open. And that's what I can't understand. I can't understand that from Sean Dice. I can't understand being that open. It was so unshown Dice but obviously they were the tactics. They must have been the tactics because that's what we were consistently doing. He was obviously trying to risk a lot. High risk, high reward. I promise we don't create anything. It is what it is. It's our annual Old Trafford beating. It's not the results. You go to Old Trafford and you don't really expect anything. It is more just the way we played. We've got to shake that off now. It's a defeat. The score could have been a lot heavier than it was. We have to just put that in the past now and get on to Fulham next week because Fulham is a must win game as far as I'm concerned. You can look at certain games and go well. You've got a point on that one and blah blah blah but Fulham are all next week without the strike. It's a must win. Everton have got to find a way to win it. Everton have got to find a way to start scoring goals and creating because as I said earlier that front, that three, I'm not putting Sims in the category but I will be Mach Neil and Damari Gray. I've got to start creating chances. That's what they're in the team to do. They've got to start creating chances and the amount of times to give the ball away. Especially Greg and Awabi today. Mach Neil wasn't really in the game at all. The game for us was playing on that side. I don't know. It's weird though isn't it? Everton yesterday went heavy on putting stuff out about Dominic Harford Llew and I was thinking is he going to be on the bench today? No way in sight again. I know the manager did say that on Thursday but it's just weird that he went heavy on the social media side of things yesterday. Very very strange but he's the kind of play we need him for next week. I don't know whether he knows. I don't even know what his injury is. I don't know where his fitness is. I don't know what's going on. Disappointing day. I don't really know what more I could say about it. I could rant and rave about it I suppose but what would be the point? It's a one off game so far. It's not but you know what I mean. We've been unbeaten for the last four and we've lost a really important player in the Corry. The manager's put a different set up and he's messed it up. That's all you can really look at it is isn't it? He's got to now look at it. He's got a week now to look at it and go right what will work next week? Will it be different that it's our own? We'll wait and see. I don't know but don't do that again.   There you go. Let me know your thoughts in the comments. I'll be back to do my play ratings in a little bit. So join me for that. Make sure to check out Baz's videos as well and I'll see you in a bit.


Hello and welcome to this session, I discuss the following problem. Let f be a function from w to w, we defined as fn is equal to n minus 1 if n is odd and fn is equal to n plus 1 if n is even, show that f is invertible, find the inverse of f, here w is the set of all whole numbers. Now let us write the solution. Given to us is f is a function from w to w, defined as fx is equal to n minus 1 if n is odd and n plus 1 if n is even, where w is the set of all whole numbers that is 0 comma 1 comma 2 and so on.  Now if a and b are odd, then f of a is equal to f of b which implies a minus 1 is equal to b minus 1 which implies a is equal to b, in both cases is equal to f b which implies a is equal to b. Now if a is odd and b is even, then f of a is equal to a minus 1 is even, f of b is equal to b plus 1 is odd, therefore a is not equal to b which implies f of a is not equal to f of b. Now similarly if a is even and b is odd, then a not equal to b implies f of a is not equal to f of b, thus f is 1 1. Now to prove that, given arbitrary element of w, if a is an odd whole number, then there exists an even whole number minus 1 belongs to w of domain such that f of a minus 1 which is equal to a minus 1 plus 1 which is equal to a. Now if a is an even whole number, then there exists a number plus 1 belongs to w of domain such that f of a plus 1 is equal to a plus 1 minus 1 which is equal to a. We know that f of 1 is equal to 0, thus every element of w in core domain is pre-imagined in domain. But f is 1 1 and on to therefore, this is a bijective function invertible. Now let us find the inverse of f. Now let us find the inverse of f. We observe that n is odd for any y belongs to w, y is equal to n minus 1 by definition is equal to y plus 1, y is even when n is even, y is equal to n plus 1 or n is equal to y minus 1 and y is odd. Thus we define f inverse of y is equal to g of y g such that from w to w such that g of y is equal to y minus 1 if y is odd and y plus 1 if y is even. Inverse of f itself, this is our required inverse. I hope you are interested in this problem. Bye and have a nice day.