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grid could be used for recording results, with the pair products highlighted according to how many consecutive numbers were being used. Visualisation through blocks of dots or rectangle areas may help students explain why their pattern must work in every |
case. Imagine you have a large supply of 3kg and 8kg weights. Four 3kg weights and one 8kg weight have an average weight of How many of each weight would you need for the average (mean) of the weights to |
be 6kg? If you had other combinations of the 3kg and 8kg weights, what other whole number averages could you make? What's the smallest? What's the largest? Can you make all the whole number values in between? What if you |
have a different pair of weights (for example 2kg What averages can you now make? Try other different pairs of weights. Do you notice anything about your results? Do they have anything in common? Can you use what you notice |
to find, for example, the combination of 17kg and 57kg weights that have an average of 44kg......of 52kg.......of 21kg.....? Explain an efficient way of doing this. Can you explain why your method works? Given the original 3kg and 8kg weights, |
can you find combinations that produce averages of 4.5kg ... of 7.5kg ... of 4.2kg ...of 6.9kg ...? Convince yourself that all averages between 3kg and 8kg are possible. What averages are possible if you are allowed a negative number |
of 3kg and 8kg weights? You may initially wish to restrict the weights used to those which have a difference of 2kg, then 3kg, then 4kg, etc. in order to model working systematically, and to make the pattern of results |
Some students may find multilink cubes useful to support their Here are two examples of students work on Searching for This is a game for two players. You will need a 100 square which you can download or you can |
use The first player chooses a positive even number that is less than 50, and crosses it out on the grid. The second player chooses a number to cross out. The number must be a factor or multiple of the |
first number. Players continue to take it in turns to cross out numbers, at each stage choosing a number that is a factor or multiple of the number just crossed out by the other player. The first person who is |
unable to cross out a number loses. Switch the challenge from winning the game to covering as many numbers as possible. Pupils can again work in pairs trying to find the longest sequence of numbers that can be crossed out. |
Can more than half the numbers be crossed out? This challenge could run for an extended period: the longest sequence can be displayed on a noticeboard and pupils can be challenged to improve on it; any improved sequences can be |
added to Ask pupils to explain why their choice of numbers is good. A semi-regular tessellation has two properties: Can you find all the semi-regular tessellations? Can you show that you have found them all? To help you when you |
are working away from the computer, multiple copies of the different polygons are available to print and cut out. Ask students to suggest shapes that could fit round a point. Test out their suggestions. Record what works and what doesn't. |
e.g. 1 pentagon, 2 squares and 1 triangle don't fit round a Why do some fit and some don't? Could you tell in advance, without using the interactivity? Elicit from students the idea that the interior angles of regular polygons |
are a crucial factor in determining whether the regular polygons will fit together or not. Before moving on to the computers ask students to work on paper finding combinations of regular polygons that will fit round a point. This may |
encourage students to work systematically when using the interactivity provided. Resources are provided at the end of the problem to support students working away from the Challenge students to find all the possible semi-regular tessellations and to provide convincing evidence |
that they have got the complete set. Each school worked in different ways. Here are examples of what some of the schools did: This is what the schools said about how their practice has This article is the result of |
the collaborative work of: Susanne Mallett, Steve Wren, Mark Dawes and colleagues from Comberton Village College Amy Blinco, Brett Haines and colleagues from Gable Hall School Jenny Everton, Ellen Morgan and colleagues from Longsands Community Craig Barton, Debbie Breen, Geraldine |
Ellison and colleagues from The Range School Danny Burgess, Jim Stavrou and colleagues from Sawston Village Catherine Carre and Fran Watson and colleagues from Sharnbrook David Cherry, Chris Hawkins and Maria Stapenhill-Hunt and colleagues from The Thomas Deacon Academy. Charlie |
Throat cancer is a disease in which cancer cells grow in an abnormal way in the throat. Cancer occurs when cells in the body—in this case throat cells—divide without control or order. Normally, cells divide in a regulated manner. If cells keep dividing uncontrollably when new cells are not needed, |
a mass of tissue forms, called a growth or tumor. The term cancer refers to malignant tumors, which can invade nearby tissues and spread to other parts of the body. A benign tumor usually does not invade or spread. Factors that can increase your chance of developing throat cancer include: |
- Age: 40 or older - Sex: male - Smoking or use of any tobacco products - Excessive alcohol consumption - Family history - Vitamin A deficiency - Diet low in fruits and vegetables - Suppressed immune system Infections caused by certain viruses such as: - Epstein-Barr virus - Human |
papillomavirus - Radiation exposure - Excess consumption of cured meats or fish - Marijuana use Exposure to certain materials such as in: - Nickel refining - Working with textile fibers If you have any of these symptoms, do not assume it is due to throat cancer. These symptoms may be |
caused by other conditions. Tell your doctor if you have any of these: - Sore throat - Feeling that something is caught in the throat - Difficulty chewing or swallowing - Difficulty moving the jaw or tongue - Voice changes or hoarseness - Change in voice quality - Pain in |
the head, throat, or neck - Lump in the neck - Unexplained weight loss - Coughing blood The doctor will ask about your symptoms and medical history. A physical exam will be done. The doctor may feel for any lumps in your neck. You may be referred to an otolaryngologist, |
a doctor who specializes in head and neck surgery. Your bodily fluids and tissue may be tested. This can be done with: Your internal structures may need to be viewed and examined. This can be done with: When throat cancer is found, staging tests are done to find out if |
the cancer has spread. Treatment depends on the stage of the cancer. Surgery removes the cancerous tumor and nearby tissue, and possibly nearby lymph nodes. In very rare cases, surgery to remove large tumors of the throat may also require removal of tissue for swallowing. As a result, food may |
enter the windpipe and reach the lungs, which might cause pneumonia. In cases when this is a risk, your surgeon may remove the larynx or voice box. The windpipe will be attached to the skin through a hole in the neck, which is used for breathing. This is the use |
of radiation to kill cancer cells and shrink tumors. Radiation may be: - External radiation therapy—radiation directed at the tumor from a source outside the body - Internal radiation therapy—radioactive materials placed into the throat in or near the cancer cells This is the use of drugs to kill cancer |
cells. Chemotherapy may be given in many forms including pill, injection, and/or via a catheter. The drugs enter the bloodstream and travel through the body killing mostly cancer cells, but also some healthy cells. Combined Modality Therapy Often times, chemotherapy and radiation therapy are used together to kill cance... |
the throat. This combined approach may be better than surgery or radiation alone. To reduce your chance of getting throat cancer, take the following steps: - Don't smoke or use tobacco products. If you do smoke or use tobacco products, get help to quit. - Drink alcohol only in moderation. |
Moderate alcohol intake is two drinks per day for men and one drink per day for women. - Eat a healthful diet, one that is low in saturated fat and rich in whole grains, fruits, and vegetables. - See your doctor and dentist regularly for check-ups and cancer screening. |
Oceana released a new report today outlining the shocking amount of subsidies that pour into Europe’s fishing industry. European taxpayers are essentially paying for overfishing – to the tune of 3.3 billion Euros ($4.6 billion) in 2009. Here are some other stunning facts from the report: - Oceana’s analysis found that ... |
European Union fishing sector in 2009. This is more than three times quoted public figures, which only reference the European Fisheries Fund. - Total subsidies to the fishing sector are equivalent to 50 percent of the value of the total fish catch by the European Union in the same year ( €6.6 billion) - Spain, France, ... |
most fishing subsidies. - 13 European Union countries had more fishing subsidies than the value of the landings of fish in their ports. - Europe is one of the world’s top three subsidizers, along with China and Japan. - As a result of these major subsidies, the European Union now has a fishing fleet that is two to thre... |
needed to fish sustainably. - More than two-thirds of these subsidies have the ability to enhance fishing capacity and promote overfishing. Check out the full report and pass it on! - What Do Historic CO2 Levels Mean for the Oceans? Posted Tue, May 14, 2013 - U.S. Coast Guard Captures Illegal Fishermen in Texas Posted ... |
State in U.S. to Ban Shark Fin Trade! Posted Thu, May 16, 2013 - It's Endangered Species Day! Posted Fri, May 17, 2013 - Stocks Show Signs of Recovery, But Still Work to Do Posted Fri, May 17, 2013 |
KIKUYU CULTURE & TRADITIONS |Kenya is famous for its 42 cultures, but other than the nomadic Maasai and Samburu, not many of these are widely known to the outside world. A new cultural centre devoted to the Kikuyu, Kenya’s largest offers a unique experience of this tradition rich culture existing in a modern world.| Ri... |
far outside of Nairobi, in the Kikuyu Heartland of Kiambu. The centre is run by Dr. Kinuthia Njoroge, who wanted to build a traditional Kikuyu village homestead to show local children the history and customs of their community. The Kikuyu are the largest community in Kenya, and have always played a central role in the ... |
For this reason, many may believe that modern influence has eroded the traditional way of life for this community, who mainly live around the capital city and the highlands. But as Riuki demonstrates, this is not the case. While the traditional huts and ceremonies may be displays of a proud history, many of the same be... |
modern life. In cuisine, music, marriage and everyday family life, most Kenyan Kikuyus still hold true to their identity. It is this pride that Riuki strives to encourage and strengthen, with its own blend of the modern and traditional. Now visitors to Kenya can come to Riuki and spend a day learning more about this li... |
the centre by a group of elders, all of whom live in the local area, guests are welcomed in true Kikuyu style, with an invitation to drink from a horn filled with Muratina, a locally brewed drink. There is a tour of a traditionally built hut with an explanation of how the traditional society operated. Communities alway... |
strict and strong ties of clan loyalty and an even stronger sense of tribal unity - There was an age set system among young men, known as Mariika, but all clans and villages (itura) always paid deference to the wisdom and law of the tribe. At Riuki, traditional songs, proverbs and dances bring the myths and legends of ... |
to life. According to Kikuyu mythology, all of creation began at the summit of Mount Kenya. The icy peak was the realm of Ngai, the Supreme Creator, who descended from the heavens to his mountainous throne to survey his newly created lands. The mountain became Kirinyaga, his resting place, and it was from here that he ... |
father of the Kikuyu people. Ngai told him that all of the lands around Kirinyaga would be the home of Gikuyu and his children forever. He sent Gikuyu to grove of Fig trees, where he found a woman called Mumbi. This grove would become known as Mukuru wa Nyagathanga, the birthplace of all Kikuyu, still revered as a sacr... |
Among the fig trees, Gikuyu and Mumbi produced nine daughters- Wanjiku, Wanjiru, Wanjeri, Wambui, Wangari, Wacera, Waithera, Wairimu, and Nyambura. (Traditionally all Kikuyu girls should be given one of these names) The girls grew into beautiful young women, who each full moon wandered the lands around Kirinyaga in sea... |
father to appeal to Ngai for help. Finally he bowed before the Mountain, and Ngai commanded him to make sacrifice among the figs and light a fire. The sacrifice of a goat beneath a fig tree is still considered a way to call rain in times of drought, but in this first case it was a different form of life |
sustaining rain that Gikuyu sought. After the sacrifice he plunged nine sticks into a fire, and prayed. The fire erupted into an inferno, from which nine strong young men emerged. Giving thanks, Gikuyu took them back to his daughters, and the nine marriages were blessed by Ngai. Each of the daughters made her own homes... |
the Kikuyu were born. the unity of these clans was known as the Nyumba ya Mumbi, in honour of their Mother. The peak of Kirinyaga has since remained the sacred home of Ngai. As at Riuki, all Kikuyu homesteads were traditionally built to face this Holy Mountain. A group of local women come to the centre to perform for v... |
with a series of dances traditionally performed at weddings and initiations and to sing songs. These are simple love and courting songs, traditional hunting songs and chants used when going to work in the fields. The highlands of Kenya are rich fertile land, and this is a great farming culture- with a great cuisine tha... |
vegetables. The highlight of the day is a chance to sample a typical Kikuyu meal- delicious healthy food including sweet potatoes, Githeri (a maize and bean stew), Mukimo (a mashed combination of green peas and potato) with roasted goat and Irio, a great Kikuyu favourite. There are also displays of traditional medicine... |
to visit local farms and schools, or even to spend the night under the stars by a campfire on a traditional banana fibre mat, or to spend the night in a specially arranged homestay in a typical Kikuyu home. For anyone with a free day in Nairobi, the Riuki Cultural Centre is an excellent way to discover more about anoth... |
Irish Fiddle Lessons - Ian Walsh teaches the Irish Hornpipe The Golden Eagle. Tags:How to Play the Song "The Golden Eagle" on an Iris,Ian Walsh,irish Fiddle Lesson,Learn To Play Fiddle,Learning Irish Fiddle,The Golden Eagle,Violin fiddle lessons Grab video code: Hi! Welcome to OnLineLessonVideos.com. I’m Ian Walsh and ... |
the Golden Eagle and it’s a horn pipe. We’ll play it in the key of G. I’ll start off by playing you a sample of the tune along to a quick track that I’ve set at about 70 beats per minute. So here we go with the Golden Eagle. Let’s begin by leading into this tune with some pickup notes. |
We’ll start on the C, this is on the A string here. You work up A, B, C which plays right next to your first finger pretty much right on top of it. So that could be our first note and we’ll start with the triplet here. So three notes and then we’ll go to the G. So let’s just |
string on that G note with your second finger. So let’s go back to the beginning here and we’ll look at that pickup note, the C, B, A down to your first note of the tune, the G. Take a look at the second little section. You go down to that low B and all the way up to the |
B again. Then we look here to the low D [Demonstration] and then finally we have that G arpeggio [Demonstration]. Notice I’m leaving my fingers down on the A string here. You can visualize two of the double stamps that are readily apparent here for the G. You can use a G with a D with your A and your |
Italian government scientists have claimed to have discovered evidence that a supernatural event formed the image on the Turin Shroud, believed by many to be the burial cloth of Jesus Christ. After years of work trying to replicate the colouring on the shroud, a similar image has been created by the scientists. However... |
high-intensity ultra violet lasers, undermining the arguments of other research, they say, which claims the Turin Shroud is a medieval hoax. Such technology, say researchers from the National Agency for New Technologies, Energy and Sustainable Economic Development (Enea), was far beyond the capability of medieval forge... |
Railroad worker injuries are covered under the Federal Employees Liability Act which requires that a railroad maintains their fleet, ensuring that their trains are in good working order and free of defects. If a railroad does not comply with these |
standards, they may be liable for injuries to their workers. Damages railroad workers may receive include medical treatments, present and future lost wages and mental trauma. An injury on the railway can range from a minor sprain to a spinal |
injury so severe that it leads to death. Some of the most common injuries that affect railway workers are head trauma, knee injuries, back injuries, neck injuries, carpal tunnel syndrome, brain trauma or spinal cord injuries. The Federal Employees Liability |
Students in the 12-quarter Graphic Design bachelor?s degree program have an opportunity to expand on theory, practice and process, developing skills in creative problem solving. This program is designed to establish a strong foundation in traditional design and computer skills, and then build advanced competence in the... |
skills necessary for entry into the field. They can learn to initiate, manage, produce, and deliver effective design concepts. Students study two- and three-dimensional design, marketing, and media design. They explore color theory, visual composition, typography, information graphics, digital and print production proc... |
manipulation, web layout and programming, and page layout programs to master design skills. Graphic Design students have the opportunity to learn the skills to write effective r?sum?s and conduct successful job interviews. They graduate with a professional portfolio to show potential employers and are prepared to join ... |
designers, exciting challenges are available; they work on projects like corporate identity programs, consumer package designs, annual reports, exhibition materials, direct mail literature, brochures, manuals, catalogs, and interactive presentations. They create company logos, business cards and stationery, letterheads... |
environments. Objectives: Upon completion of this program, graduates will be able to: ? Demonstrate and apply competencies in industry-specific computer software programs within the context of producing concrete projects. This includes technical aspects of prepress, output, and quality reproduction as well as Web desig... |
among imagery and text, balance, typography, and color theory. ? Demonstrate design concepts and relate these to historical and contemporary trends and social context by producing successful visual solutions to assigned problems. ? Model the interdependence of content and visual expression and be able to evaluate and c... |
About Our School Pathfinder K-8 is located at the Cooper Elementary Building on Pigeon Point in West Seattle. Pathfinder K-8 is an alternative public school where children are engaged in expeditionary learning. Native American cultures are the foundation from which we teach about many cultures, providing opportunities ... |
become passionate, lifelong learners, respecting themselves, others and the environment. At Pathfinder we believe: - A safe, respectful environment is essential for learning. - High academic and behavioral standards encourage children to reach their personal best. - A complete education comes from a caring community, i... |
solve problems and be responsible citizens in social and academic settings. - Multicultural education broadens awareness of and fosters and appreciation for diversity. - Children need current technology, and the appropriate tools and physical environment to support their learning. - Teaching our children to respect and... |
I’ve seen several articles debating when oil production will peak. For those of you who have missed them, oil prices rise due to scarcity (real or not) or increased production costs, and the latter become important sometime around when oil production peaks. Also, the time for us to go through |
the second half of the world’s oil will be considerably less than the history of oil use to date, and our transportation infrastructure in particular is heavily oil-based. Among climate change scientists, there seems to be less worry about running out of oil, and considerably more worry about its use. |
Recent readings have given me some understanding. David Greene, et al, from (pdf file) Running Out of and into Oil: Analyzing Global Oil Depletion and Transition Through 2050 “It is possible that the world could go partway down the path of developing unconventional oil resources and later reverse direction. But |
such a strategy would strand huge investments in the more capital-intensive production and refining of unconventional oil. If the transition to unconventional oil is gradual, there might be time to introduce low-carbon alternatives and a reversal might not be too costly. But if the transition to unconventional oil is s... |
and massive, the world’s economies might quickly become locked into a high carbon future. Avoiding or even slowing the transition to unconventional fossil resources might improve the world’s chances of successfully dealing with global climate change.” The unconventional oil sources referred to are coal to liquids (synf... |
natural gas to liquids (isn’t all natural gas needed for electricity and heating?) Both increase carbon emissions, in part because of the energy needed to convert them to liquid. Both are expensive because they require so much energy for the process. Oil prices will rise if we hit a peak, |
but Europeans and others are already living with much higher gasoline prices. Detour: A vote on the Arctic National Wildlife Refuge is expected soon. My understanding is that oil companies are not particularly interested in drilling there without some kind of guarantee (a large guarantee, but will that dissuade Congres... |
as there is relatively little oil, and it’s relatively far from where it would be used. I’m not sure why anyone would vote for opening up the site to oil drilling, both for practical reasons and because it’s nice to imagine those few places in the world not crowded by |
us. What I hear is, “got you, you crummy environmentalists”, but perhaps our legislators have other reasons, poorly articulated to date. Certainly these reasons have little to do with oil security, even for the rare person who also votes to increase car mileage standards. That said, the overwhelming concern to |
the caribou is not the drilling, but the use of oil. Climate change alters the environment at high altitudes faster, and refuge status will not protect ANWR. Return: From my reading, it is apparent that the rest of the world, as non-OPEC is generally referred to, is running out of |
oil much faster than is OPEC. Fareed Zakaria in The Future of Freedom: Illiberal Democracy at Home and Abroad points out that governments that finance themselves without taxes are not as accountable to citizens. Hence there is worldwide discomfort at financing these governments. But the discomfort is not great enough |
here in the United States to taxing oil in order to encourage us to change our behavior. We would be much better off raising taxes on oil use today. Even a moderate tax, perhaps as little as $1/gallon, will begin to shift behavior, to help stretch out our current oil |
supply and allow the transitions away from fossil fuels, so that we don’t finance OPEC governments so heavily. Oh, I’ve heard many, particularly poor people, say, but we can’t afford it. Perhaps more earned income credit, or some other mechanism, could help the poor in this transition, and let people |
choose whether to spend the extra money on a car or the bus. It isn’t right to ignore those who will be hurt in a transition. But we are wrong if we do not transition. Some talk about making the carbon tax revenue neutral, an idea I was more sympathetic |
to until the Bush deficits, and back when I thought roads and bridges are paid for by the current gasoline tax rather than out of general revenue. We could do more regional planning of mass transit systems. We could use some of the gasoline tax to pay for the roads |
and mass transit that makes our roads less crowded. We could teach bicycling as a PE option, as those who learn to bicycle and signal correctly are less dangerous to themselves and others and are more likely to continue bicycling as adults. This would leave more oil for those of |
you who can’t or don’t want to bicycle. There’s lots we can do. The cost of our transportation continues to increase. The obvious increases in price are accompanied by the continued power of corrupt governments, the costs to agriculture and water supplies and human settlements and peace from climate change. |
Let’s add some of these costs, or the desire to avoid these costs, to the price of gasoline. The costs will be paid, either as lower costs consciously assumed today or higher costs imposed tomorrow. |
Tax Day has just passed by, and there has been customary grumbling in some circles about how awful income taxes are in the United States. However, most of the data on taxes indicate that Americans are actually paying the least |
they have in decades. The tax burden is lighter on nearly every segment of society. Politicians wonder how we wound up with a deficit The 1950s were an ideal decade to a lot of people. Wholesome and clean television shows |
like “Howdy Doody” and “Leave it to Beaver” ruled the airwaves; people pursued the American Dream with gusto and patriotism; and they paid more in income tax — before Medicare and Medicaid ever existed, according to USA Today. Average Americans |
devoted about 27 percent of their gross income to taxes from the 1950s until the 1990s, when the tax rate began to trail off. In 2010, it was down to 23.6 percent of gross income. Were taxes to be raised |
back to 1950s levels of taxation, it would raise approximately $500 billion. According to MSN, the Internal Revenue Service estimates that it issues more than $328 billion in tax refunds every year. The people who have benefited, at least in |
some way, from lower income taxes and some generous tax breaks are poorer households, according to CNN. It was widely reported that the Tax Policy Center found that 45 percent of households did not or would not have to pay |
a dime in income taxes. Not having to pay taxes does sound attractive, but 68 percent of those people earned $50,000 per year or less. For people who earned $500,000 to $1 million per year, only 1.6 percent didn’t owe |
or have to pay any taxes, and only 1 percent of people who earned $1 million or more didn’t owe or have to pay. Still, the tax burden placed on the wealthiest seems disproportionate even to the wealthy. Charles Munger, |
right hand man to none other than Warren Buffet, said at a recent Berkshire-Hathaway conference that hedge fund managers paying lower tax rates than “professors of physics or cab drivers” was “demented,” according to the Motley Fool. IRS not immune |
to fraud The Internal Revenue Service is collecting less and paying more these days. The IRS wound up paying more than $12 million to dead people in a tax scam ring, according to MSN. More than 5,000 returns were filed |
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