![]() Gather with the speed and fury of the gods.Using the Bjora Marches example, a great combination is using Bounty or Volatile for the sickle, Watchknight. Select a glyph for each tool to find how much the total profits increase. By default, the calculator is assuming no glyphs equipped. Add a Glyph that gives your desired effect. The unique feature is with the information above with the glyphs, you can apply those to the node farm.Contents 1 Acquisition 1.1 Contained in 1. When inserted, the glyph allows characters to gather from all nodes associated with the gathering tool within 900 units. Transmute the normal animation to one that has a faster duration, speeding up the overall gather each strike. Glyph of Reaping is an upgrade component for gathering tools.Obtain an Unbreakable Gathering Tool, preferably one with a bonus to gather speed as an anomaly.That’s basically all you need to know about the basics of Min-Maxing Gathering Tools in Guild Wars 2. As long as they have never been bound, they can still be traded. The Volatile Magic tools have this inserted by default.Īnd because you can trade Glyphs, you can get exactly what you need via the Trading Post. A great example of this is the Glyph of Volatility that gives the player Volatile Magic with every gather strike. And it works for much more than just armor and weapons. Glyphs are items that can be inserted into gear as an upgrade to give it certain effects or bonuses. Glyphs are a key part of how you can min-max your gathering runs. Now let’s talk about another confusing element. You might also want to check out our guide on the best quality of life items from the Gemstore while you’re at it. A perfect example of this is the Consortium Harvesting Sickle. Consider any tools with a shorter animation to be just plain better. If you’re considering any Gathering Tools from the Gemstore, it’s highly advised to /wiki (Type “/wiki ” into the chatbox to get a wiki page for that item) that tool and see if the animation time is listed. READ MORE Roblox Cabin Crew Simulator Codes (January 2023) These are not only unlimited use, but reveal something else that can be min-maxed. You can get the Unbreakable tools via Black Lion Statuette drops, or via the Gemstore. They have limited uses, but are still good for new and F2P players as a source of materials. You can make a lot more gold and save a lot of time by using the right Glyph while gathering all the resources. Not a big deal to new players, but it’s for this reason that most players eventually use nothing but Orichalcum gear for their gathering runs.Īny tool of Orichalcum and below can be bought from vendors, or via the Trading Post as crafted gear. 13K views 2 years ago GW2 Beginners Guides. So anyone using Steel tools can only gather Tier 1 to Tier 3 ingredients. Each tier of Quality can only gather from nodes that drop materials of that tier or LOWER. There are different quality ratings for every one of the Gathering Tools in Guild Wars 2 and this is important to know. But first, we need to understand the very basics of Gathering Tools in Guild Wars 2. ![]() If you’re the kind of player who likes having a mountain of gold, these tips are about to make your life so much better. And just like so many other things, this too can be meta-gamed and min-maxed. Overall the prices for these Glyphs are fairly balanced against the return (so you pay for what you are getting), however, you sometimes see them end up in the Black Lion chests and the TP value can drop for a few days, even for Watchknight and Volatile.Just like crafting, there’s a ton of hidden depth to gathering in Guild Wars 2 as well. I would avoid Alchemy personally unless I had a specific reason for using it to farm. I view Leatherworker as the cheap alternative to Watchknight and Volatile. I run Leatherworker in my Mining and Logging tools and Bounty in my Harvesting tool. Bounty used to harvest Winterberries is very strong for ascended trinkets. /rebates/2fwiki2fGlyphoftheUnbound&2. Leatherworker is also variable per node but as it always averages to 33% you will always generate some positive revenue (as low as 20c to as much as 4s currently).īounty is perhaps more valuable with Harvesting since it can trigger up to 3 times per strike, but averages still 33% on Mining and Logging. See The Glyph of Alchemy Page for a conversion chart. Volatile is variable depending on the return from various Shipments, but can be stronger than Leatherworker.Īlchemy can in some cases reduce the value of your gathering (such as hitting Platinum and getting Mithril instead) and it doesn't do anything on top T6 equivalent nodes. A Sprocket can be sold for 2s50c on the TP currently. Watchknight and Volatile give you a flat 33% return of Sprockets or Volatile Magic regardless of what you are gathering. Are these 5 glyphs equally good for making money?
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![]() Step 3: You click “ Install Now” and wait a moment.Īfter you install MS Office 2016 Pro Plus, you have 5 days to use it before you must buy Office 2016 key to activate it. A window opens to confirm that you wish to download and install Office. Step 2: After you extract the file, you open folder and click “ Setup.exe” Go to the Microsoft 365 subscription page and log in. You click 7-zip.exe to install it.Īfter you install 7-Zip, you right-click file which you download, you select 7-Zip => “ Extract to …” You can download Winrar or 7-Zip to extract img fileĪfter you download 7-Zip, you have 7-zip.exe file. Salah satu software buatan Microsoft yang populer yaitu Microsoft Office. Step 1: After you download MS Office 2016, you have Office 2016 img file, so you need to extract it. Microsoft Corporation merupakan salah satu perusahaan software terbesar asal Amerika yang mengembangkan, membuat, dan memberi dukungan mengenai komputer. How to install Microsoft Office 2016 Professional Plus Display: 1024 × 768 or higher-resolution monitor.HDD: 3.5 gigabyte (GB) available disk space.MS Office Professional Plus 2016 system requirements Operating System : Windows 7/8/8.1/10 System Version : 32 bit or 64 bit support Memory (RAM) : 2 GB of RAM required Hard Disk Space : 1 GB of free space. You can watch this video to know how to download MS Office Professional Plus 2016 trial version: ![]() I also sell cheap Microsoft Office 2016 product key for $40/key (lifetime) here: This img file can install both Windows 32-bit and Windows 64-bit You can see the link to download Office 2016 Professional Plus from Microsoft Microsoft Office 2016 Pro Plus Dutch version.Microsoft Office 2016 Pro Plus Chinese version Download MS Office 2016 Full version (64 bit) offline setup + Patch ( 1.91.Microsoft Office 2016 Pro Plus Spanish version.Microsoft Office 2016 Pro Plus Russian version You can Download Microsoft Word 2016 free trial version for Windows 7 & 10, Windows 11, Windows Vista, and Windows XP PC.Microsoft Office 2016 Pro Plus Japanese version.Microsoft Office 2016 Pro Plus Italian version.Microsoft Office 2016 Pro Plus German version.Microsoft Office 2016 Pro Plus French version.You will be asked for your Product Key as part of the next steps. Microsoft Office 2016 Pro Plus English version Download one of these versions of Office to your computer: Office Home & Student.To download Microsoft Office 2016 Pro Plus (trial version) from Microsoft you click these links below: Microsoft Office 2016 Pro Plus includes Word 2016, Excel 2016, PowerPoint 2016, OneNote 2016, Outlook 2016, Publisher 2016, Access 2016. ![]() ![]() Seeing that poverty and suffering in the world were largely ignored by consumer culture, Ed Roth felt the same way. If this sappy, utopian portrait of life makes you want to barf, don’t worry. Life in a Disney movie is cheery, carefree, and upbeat, with any problem being easily solvable in the length of a motion picture. ![]() The expansive pop culture effect of Walt Disney’s films was his primary inspiration. We’ll break it all down for you right here.Īfter selling airbrushed t-shirts for a few years at the end of the 1950s, Roth would come up with the idea for Rat Fink. If you don’t know the history of one of Kustom Kulture’s most underappreciated figures, just keep on reading. You’ve more than likely seen shirts and patches indebted to Roth’s signature style, or even featuring one of his designs, including from us. His work as a custom car designer was defining in the Southern California scene, but it was his playfully malformed monster caricatures like Rat Fink that led to his now cult status as a pop-art iconoclast. Our love for the rat extends to a love for his creator, Ed “Big Daddy” Roth. In fact, we love that gnarly little creature and the mayhem he represents so much, that he just might be our number one choice. If Rat Fink wasn’t one of the images that just appeared in your head, you may want to reconsider your answer, at least if you’re in earshot of anyone in the Lethal Threat family. Take a moment to think about the iconography from hot rod and biker culture that holds the most significance. ![]() ![]() To view the journals by topic area, click here. 2 34 In children 12 years and younger, depression is. Published for the British Association of Social Workers, this is the leading academic social work journal in the UK. Click on the hyperlink to see all indexed material from each journal. Increased risk of depression in children and adolescents may be due to biologic, psychological, or environmental factors ( Table 1). Child and Adolescent Social Work Journal Recent publications Development and Evaluation of the Trauma-Informed System Change Instrument: Factorial Validity and Implications for Use. The availability of records for an issue is dependent on content provided by the publisher. Qi Wu and Judy Krysik, as well as CCWB affiliated doctoral student, Anthony Thornton report the findings from a pilot of the Family CheckUp/Everyday Parenting program with black kin caregivers. The journals currently approved for indexing in ERIC are listed below. Influence of social media on how college students perceive healthy relationships and. COVID-19 information Latest updates Coronavirus FAQ page Vaccine FAQ page In this article, Drs. Taylor & Francis publishes knowledge and specialty research spanning humanities, social sciences, science and technology, engineering, medicine and. Selectively indexed journals contain an average of 50-79% education-related articles and are critical to topic area coverage ERIC applies a manual article-by-article selection process and indexes only the articles that conform to the standard and criteria outlined in the ERIC selection policy.Comprehensively indexed journals contain an average of 80% or more education-related articles ERIC creates a bibliographic record for all articles in every acquired issue.The coverage of an approved journal source is determined by an examination of three to five current issues during the source review process, but may be updated at any time. Searching within the abstracts of articles can assist you in locating information that is pertinent to your topic.ERIC indexes a wide variety of journal sources. Abstract: An abstract is a short summary, detailing the main idea of a journal article.Communications and Communications Medicine invite submissions of primary research papers that. ![]() If you know that you must use scholarly journals for your assignment, you should select this box. The global burden of child and youth deaths remains high. This team reviews the article in order to verify that the research is authentic. Child and Adolescent Social Work Journal Ethics & disclosures Ethics & disclosures The journal is committed to maintaining the highest level of integrity in the content published. Scholarly (Peer-Reviewed) Journals: Articles that are submitted to a scholarly journal must first be evaluated by an editorial team for the journal.If you do not select the full text box, you will still receive results, but you may only receive the citations. "Full Text": By selecting the full text box in a database, you are ensuring that the database will only retrieve articles that are available in their complete format.They will assist you in navigating the databases and locating resources. Topics include issues affecting a variety of specific populations in special settings. When searching in the database, keep in mind the terms listed below. The Child and Adolescent Social Work Journal (CASW) features original articles that focus on social work practice with children, adolescents, and their families. The main subject areas of published articles are Social Sciences(all), Social. Databases provide you with access to a wide range of articles that can be used as resources for your paper. Publisher country is United States of America. ![]() Apple’s own Safari web browser is well suited for use on any Macintosh system. People facing problems with the browser, are already migrating to these new browsers. ![]() There are new web browsers like Mozilla Firefox and the recently developed Google Chrome that offer an excellent web browsing experience. One can still have the last release of Internet Explorer, designed for Mac, but it’s not really recommended, as better web browsers have been developed today that surpass it. This is the most bug-free way of using Internet Explorer on Mac OS X, for developers who need to test their applications on the Microsoft developed browser. It can be used to run Windows XP, Windows Vista or Windows 7 on your Mac OS X. Home Aktualnoci Programy Gry Sterowniki Systemy. One of the simplest ways of using Internet Explorer’s recent versions, including IE 7, 8 and 9 is through virtualization software like VirtualBox, which lets you run another operating system and its native programs on your existing operating system platform. Internet Explorer 10 zapewnia szybko i pynne dziaanie w systemie Windows 7. You can download the last stable version through such sites and use it. You will get search results from web sites like Softpedia and Softonic. All you need to do is search on the Google search engine with the phrase ‘ Internet Explorer For Mac Download‘. Then there may be some of you who are compelled to use the Mac version for software development purpose. ![]() If you are a Mac user, who is still nostalgic about the Microsoft Internet Explorer’s Mac version, you can still get its set up and install it on your Mac. The auto complete function in the browser address bar was useful.If you have MacBook & you want to run internet explorer in your MacBook. However, there are some workarounds so that you won’t have to look for Internet Explorer for Mac download links. You could zoom in to resize text on any page. Microsoft Explorer For Macbook Pro Internet Explorer 11 Download All in all, there is no Microsoft Edge or Internet Explorer for macOS to begin with.Its Tasman based rendering engine did a better job of supporting CSS than the Windows version.There was a print preview functionality that allowed font size adjustment from preview window.Support for PNG format was a new feature at the time of release.A separate built-in auction manager that tracked eBay auctions for a user was useful.There was an archive feature which let the user preserve a web page, as it is.It had support for Chinese script and Japanese Kanji.These features refer to the last stable version released by Microsoft. Here is a list of the prime features that were endemic to this web browser. There were many unique features in Internet Explorer developed for Mac. ![]() The reason we do so little policing can probably be explained by our subreddit's niche context that revolves around a very specific set of inoffensive content. "Compared to other subreddits of our size, we don't feel like we police posts or comments as much. "Our core mod group has 4 active members, which is a small team for a subreddit of our size," they told Bored Panda. We contacted the moderators of 'Thalassophobia' and they were kind enough to have a little chat with us. Part of it can be attributed to the clear rules that promote being nice and courteous, and allow no jokes, memes, or cartoons, no reposts, and no gore.īut of course, having an active moderator team that make sure members adhere to these rules helps tremendously as well. Their preferred shallow water habitat is also easily destroyed by human activities such as coastal development and bottom trawling-a destructive fishing method which involves dragging large, weighted nets across the seafloor.īecause these sharks have a slow reproductive rate, it takes even longer for the species to recover from these threats.Ĭonservation efforts-including tagging to better understand individuals’ movements, and repopulation attempts through releasing eggs laid in captivity-are underway around the world to help protect this endangered species.Online groups that get this big often suffer from huge streams of content that flood them with questionable pictures and videos, diminishing the overall experience of browsing them, but this subreddit manages to stay clean. ![]() ( Learn about the perils of overfishing.) Populations around the world are decreasing due to overfishing, bycatch, and the shark fin trade. Although they do sometimes fall prey to larger predatory sharks, their main threat is from humans. Zebra sharks are endangered, according to the International Union for Conservation of Nature. In zebra sharks, these virgin births have been documented both in females that had never mated and those that had previously reproduced with a male. While over 80 vertebrate species are known to reproduce using parthenogenesis, it’s rare in complex vertebrates such as sharks. In 2011, scientists were excited to document parthenogenesis in zebra sharks-a phenomenon that’s essentially a virgin birth, in which unfertilized eggs develop into genetically unique embryos without any male involvement. ( Learn how some animals have ‘virgin births.’) Pups are born fully independent and can swim and hunt on their own. Pups develop inside the casing for around six and a half months before emerging as 10-inch baby sharks. After mating, a female will use special fibers to attach between one and four egg casings securely to the seafloor. Zebra sharks are oviparous, which means they lay eggs. They can also crunch through tough shells with their strong, flat teeth. After using their whisker-like barbels to detect prey in the dark, they use their small mouths and powerful gill muscles to suck their meal from its shell. Their flexible bodies allow them to squeeze into tight crevices to seek out small invertebrates to eat. They are well adapted for finding and eating this type of prey. ![]() DietĪ zebra shark’s diet is mainly made up of mollusks and crustaceans, though they are also known to eat small fish. Unlike some other species of shark, zebra sharks don’t have to keep swimming to breathe. They hunt at night and rest on the bottom during the day while pumping water over their gills. This nocturnal species can be found in shallow coral reefs in the Indo-Pacific, often resting on the sandy seabed. Because their stripes mimic those of a venomous sea snake, other species keep away in case the pattern indicates danger. ![]() In the ocean, a zebra-striped pattern is an important defense mechanism for the small, vulnerable pups. Adults look so different from juveniles that until 1823, scientists believed they were two separate species. These stripes fade over time and turn into the leopard-like spots they keep into adulthood. Juveniles are born with dark-brown-and-white stripes resembling the patterns of a zebra. They have rounded, sandy-colored bodies with five ridges, small mouths, whisker-like organs called barbels in front of their snout, and powerful tails that can be nearly as long as the rest of their bodies.Īdults usually grow up to nine feet long-around the same length as a Bengal tiger-but have been reported to reach 12 feet. Zebra sharks don’t look like the ferocious hunters most people expect of a shark. ![]() National Women’s Soccer League April 30, 2023 Another sign is that when Ertz is available she has played solid minutes, going from 72 minutes against the Wave in late April to 100 minutes against the Spirit in May. In a March media call, Andonovski said, “She needed to join a professional team to get consistent games to give us a chance to furthermore evaluate her before the World Cup.” With only a few months back in NWSL, Ertz said she felt the jump in play from her Angel City debut against the San Diego Wave to her performance against Portland Thorns, and she felt a jump again from Portland to her next game against the Washington Spirit.Īn early sign of Ertz’s comeback was a classic near-post header against the Thorns, a well-timed run on a free kick to dink in the ball in the 79th minute in a move familiar to longtime fans. “You always have so much emotion, excitement, all this anticipation, noise, all that.”Ĭlub performance, in particular, is key. “The first (game is) always the hardest,” she said. It helps that she has her return games out of the way for both club and country. And she hasn’t looked completely out of step since then, gradually getting more minutes with Angel City, where she signed a one-year contract in April.Īs with many players returning, Ertz said that while her fitness and technical touches are coming along, the final elements to click into place will be speed of play and decision making. At times, the United States midfield has needed some bite of the particular kind that Ertz is so good at providing. “I think my whole process, especially coming back from pregnancy, is (to) be fast but don’t hurry.”Īs a veteran player, the two-time World Cup winner knows better than most that she’ll have to fight for a spot on a roster that had been somewhat ticking along without her for nearly two years before she got a run out in the team’s April friendlies against the Republic of Ireland. It’s also a lot of time for a lot: to be focused, to be the most prepared, to try and peak at the most perfect time,” Ertz said. ![]() “Fifty days is a short amount of time when you wait for four years. There are fewer than 50 days to go until the World Cup kicks off, and even less time until USWNT head coach Vlatko Andonovski names his roster in mid-to-late June. women’s national team player who knows exactly what to do and what will be expected of her - all while she continues to take on projects dear to her like feeding children and her 9-month-old son starting walking. “It would be a joy to be on that roster,” she said.īut the timeline for Ertz to get her legs back under her is short even for an experienced U.S. She knows and we know and she knows that we know that she’s angling for a Women’s World Cup roster spot this summer. Could be anyone, really.Įrtz isn’t oblivious, of course. Yes, unnamed players getting ready for random big tournaments. ![]() In a call with The Athletic to promote her partnership with Abbott addressing child malnutrition, she didn’t even say the words “ World Cup.” Instead, as she discussed how NWSL games can run quite long now due to VAR decisions, she said that playing the extra time is “definitely good practice for players getting ready for big tournaments.” On 9 June 2023, Norwegian runner Jakob Ingebrigtsen bested that time, running 7:54.10 to become only the second individual to run two miles in less than eight minutes. He did it again in February 1998, falling just 0.3 seconds behind his previous performance of 7:58.61. ![]() In 1997, Daniel Komen of Kenya ran two miles in less than eight minutes, doubling up on Bannister's accomplishment. Over 18 years after Coghlan, that was finally achieved by UK's Anthony Whiteman, running 3:58.79 on 2 June 2012. Many elite athletes made the attempts to extend their careers beyond age 40 to challenge that mark. Because Coghlan surpassed the mark indoors and before the IAAF validated indoor performances as being eligible for outdoor records, World Masters Athletics still had not recognised a sub-4-minute-mile performance as a record in the M40 division. Īnother illustration of the progression of performance in the men's mile is that, in 1994, forty years after Bannister's breaking of the barrier, the Irish runner Eamonn Coghlan became the first man over the age of 40 to run a sub-four-minute mile. In 2020, Leo Daschbach clocked 3:59.54 during the Quarantine Clasico, moving to ninth on the all time list. Reed Brown dipped under the barrier on 1 June 2017, running the 4th fastest high school mile time ever recorded in a race: 3:59.30. ![]() At that same meet Michael Slagowski ran his second sub-4-minute of the season. Hunter achieved the 4-minute mile mark outdoors later in the season at the Prefontaine Classic. On 6 February 2016, Andrew Hunter significantly improved upon Webb's mark, running 3:58.25 on the same New York Armory track and 3:57.81 two weeks later. Webb was the first high schooler to run sub-4 indoors, running 3:59.86 in early 2001. ![]() In 2015, Matthew Maton and Grant Fisher became the sixth and seventh high-schoolers to break four minutes, both running 3:59.38 about a month apart. Ten years later, in 2011, Lukas Verzbicas became the fifth high-schooler under four minutes. Tim Danielson (1966) and Marty Liquori (1967) also came in under four minutes, but Ryun's high-school record stood until Alan Webb ran 3:53.43 in 2001. In 1964, America's Jim Ryun became the first high-school runner to break four minutes for the mile, running 3:59.0 as a junior and a then American record 3:55.3 as a senior in 1965. Currently, the mile record is held by Morocco's Hicham El Guerrouj, who ran a time of 3:43.13 in Rome in 1999. Algeria's Noureddine Morceli was the first under 3:45. New Zealand's John Walker, who with a 3:49.4 performance in August 1975 became the first man to run the mile under 3:50, ran 135 sub-four-minute miles during his career (during which he was the first person to run over 100 sub-four-minute miles), and American Steve Scott has run the most sub-four-minute miles, with 136. The statue was placed in front of the Pacific National Exhibition entrance plaza. ![]() The race's end is memorialised in a photo, and later a statue, of the two, with Landy looking over his left shoulder, just as Bannister is passing him on the right. Two months later, during the 1954 British Empire and Commonwealth Games hosted in Vancouver, B.C., two competing runners, Australia's John Landy and Bannister, ran the distance of one mile in under four minutes. Current mile world record holder Hicham El Guerrouj (left) at the start of a raceīreaking the four-minute barrier was first achieved on at Oxford University's Iffley Road Track, by British athlete Roger Bannister, with the help of fellow-runners Chris Chataway and Chris Brasher as pacemakers. ![]() MARIA CARDONA: … puppet masters in the likes of Rush Limbaugh. RINA SHAH: This entire debate has been hijacked by Limbaugh. ![]() PHIL RUCKER: Well, this week, with the shutdown I would say Rush Limbaugh. Is Rush Limbo calling the shots or are his listeners calling the shots? (sic) There’s a guy, in a golf shirt down in Palm Beach telling the president what to do. KATY TUR: Rush Limbaugh is in control of the government.īAKARI SELLERS: You have a president in Rush Limbaugh.ĬHRIS MATTHEWS: Rush Limbo. But I’m telling you, the vast majority of the cue sheet here today is me. This is one we don’t… I’m not playing all 40. Oh, really? Really? Syndicated radio host? I’m being turned on even by brethren in the business here, and there’s some bloggers and so forth. There’s some people from “NBC, CNN, PMSNBC, Republican strategerists, syndicated radio host…” 1, and it’s the exasperated Drive-By Media convinced that I am running America. So to give you a flavor, here is the montage. Except for some people who now think that what makes this even worse is that you’re nothing but an entertainer.” You know, they go back and forth on this.ĭepending on the day, depending on the issue, I’m the titular head of the Republican Party, conservative movement, and the next, “Ah, he’s just an entertainer.” For 30 years, it’s been that styling. It’s still all about you, though, anyway, because they’re convinced you caused the shutdown, that you are running the country, and that you are the president. All these senators and congressmen whining about a guy on the radio. “I could have done 40 bites, but I just picked the most interesting - plus a montage, of course. But, if you wanted it to be, I have 40 sound bites today that mention your name, that blame you, that essentially say you are running the country. I almost did a whole cue sheet that was just sound bites about you! But then I decided I had to mix in a few good ones from other people, because, like you say, you don’t like the show to be about you. “Dear, Rush: This weekend could be an all-time record for Rush mentions. Cookie’s the production director, and she scours all of this stuff day in and day out to produce the audio sound bites which appear on this program. Matthew Daubert from Mequon, WiActually, it was Alex who said "Whatever happened to my Transylvania Twist".RUSH: I got a note from Cookie today before she prepared the audio sound bite roster, and I’m gonna read this email.Rachel from Denver, CoThe title is a pun on "Rush Limbaugh", a politically conservative radio host who was becoming popular and controversial in the US at the time.Ben from Eden, TnI think Alex is THE most creative guitarist ever born.Geddy Lee has kick-ass bass playing in this song. Greg from Oakville, CanadaIt wasn't Alex Liefson who said that you clutz.Matthew Daubert from Mequon, WiWell, turns out all spoken lyrics were sampled:.Brett from Regina, CanadaActully it was alex who said that.Probably my second least favorite of their instrumentals. I like the segment with Geddy's lilting voice over it.and the Transylvania Twist line is a good gag. John from Asheville, NcA *good* Rush instrumental. be upset because I won’t automatically give them the answer, but instead require them to think their way through by asking them questions.work out a solution that satisfies one condition but not the other.in some cases, give up before really trying anything because the answer won’t be obvious or workable using a “standard” pathway, or they are paralyzed by the fear of being wrong.probably divide the number of animals by 2, then not know what to do with the answer they get.try to add the animals and the feet together, not understanding that their sum will represent neither.Multiply to calculate the total number of feet (guess and check) until you arrive at the correct totals. Select an arbitrary number of animals of each kind.Work backwards from 56 and 22, by adding and subtracting as needed.Mark off 4 marks for each goat and 2 for each chicken. Create a system using columns of 4’s and 2’s.Start with a guess and check, then add or subtract animals and corresponding feet until you arrive at numbers that satisfy both conditions of the problem. Draw pictures representing 4-footed goats and 2-footed chickens.There are lots of other ways that students could solve this problem. I complete my table, systematically decreasing the number of feet by decreasing goats and adding chickens, while maintaining the necessary number of animals. ![]() ![]() If I’m using this method to show a possible solution pathway, this would be the point at which I ask the students if they see a pattern developing. I begin by deducting one goat, adding one chicken, and reconciling the number of feet row by row. I can then work backwards to my solution. Once my columns are in place I can see that I have 10 feet too many. Using this info, I could create a six-column table. I might divide 22 by 2 and use 11 + 11 as a jumping-off point. Start with a guesstimated number for the two animals. Finally, I checked my values by substituting both into the second equation. I found that there must be 6 goats and 16 chickens. Once I had the value for g, I used it to solve for c in the first equation. Then I substituted my new value for c into the second equation. To solve this problem, I used an algebraic system of two equations, letting c represent the number of chickens and g represent the number of goats.įirst, I solved for one variable in terms of the other in the first equation. It is non-discriminatory in that I can, have, and did give this and a similar problem to students learning at the most basic level and those taking the HSE exam in the same week. This problem pushes students to think outside the box. seeing the light come on in students’ eyes when they arrive at the solution.being surprised at who solves the problem and how.seeing the different ways students draw the chickens and goats.the potential fun for students and their joy in working it out.the variety of possible solution methods: arithmetic, algebraic, pictorial, mathematical, and representational.I chose to write about this problem because I love it! I love: |
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