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Stp Chemistry Volume
Monday, March 30, 2020
Learning Chocolate in an English Speaking Country
Learning Chocolate in an English Speaking CountryLearning chocolate may be challenging in English speaking countries but learning the language is not hard at all. The languages that are commonly used in many of these countries include Portuguese, Spanish, French, Italian, German, and Japanese. However, if you have a hard time learning the basics of any of these languages, there are plenty of learning resources online and in books.Do not be intimidated by your learning experience in English speaking countries. Everyone there has access to the Internet, and even some of them have TVs and radio broadcasts that they can use as learning tools. The point is that they can use English in a variety of ways. So you don't have to worry about your work standing out among other employers who do not speak English.The types of information that you can learn through learning chocolate in an English speaking country are the same as learning in a language that does not have a native speaker. Because t he speakers in those countries live in villages, they understand the very basic words, phrases, and sentences. In the village, those who are sick or poor are spoken to in their own language, making them easy targets for the people who will try to sell them things, so the English they will use in their own language. Of course, there are people who have lived in those countries for a very long time and have more formal education, but most people who are studying French, German, or Spanish are also working in the villages, where the use of English is not so common.However, because English is not a very common language in those countries, it does not mean that you cannot study the language. In fact, some people take up English as a second language so that they can be able to do well in their jobs in the restaurants and cafes that are common in those countries. The same applies to learning chocolate.Chocolate, especially chocolate bars, is a great tool for studying. You will be able to s ee how the different flavors are made, as well as other things that make chocolate different from other foods. The flavors and the appearance of chocolate are something that you can relate to easily in an English speaking country, so even if you cannot read what is written on the chocolate bars, you will still have an idea about the ingredients.Even the chocolate bar or package itself has been adapted so that they are easier to read in an English-speaking countries. For example, some of the products use a variation of the Roman alphabet, while others use the Cyrillic alphabet. All of these letters will be printed on the box or on the bottom of the wrapper. If you learn one of the more popular varieties, you will be able to recognize that the company is using the English alphabet.Learning chocolate is not difficult when you know what you are trying to learn and what people's culture is. To learn chocolate, you will need to consider what are the most popular flavors, where the best ch ocolate bars are and how to pronounce those words or their pronunciations. If you are confused about anything about the flavor or origin of the chocolate, you can ask someone in the place where you are shopping. Even if you can't understand what they are saying, you can still be sure that you know that the pronunciation is right, so the learning process should not be too hard.Learning chocolate in an English speaking country is much easier than other places. Not only can you use the language as a way to tell if a chocolate bar is going to taste good, but you can also use it as a conversation starter. If you can get a taste of the flavors, and you know what a certain chocolate bar is supposed to taste like, you will also be able to appreciate the good tasting chocolate bar and not feel bad if it is not as good as you thought it would be.
Friday, March 6, 2020
Changes to the KS2 curriculum - Tutor Hunt Blog
Changes to the KS2 curriculum Changes to the KS2 curriculum Changes to the KS2 curriculumPrimary schoolsKey Stage 2 defines part of the National Curriculum for pupils in year three through to year six, typically pupils aged between seven and eleven. The curriculum for KS2 has remained unchanged for a number of years - covering language and literacy, mathematics and the arts - but as of September 2014 it underwent a number of significant alterations. The changes put more focus not mathematics and English, demarcating each into various subgroups. The tests at the end of the three years focus on each new group:English Reading - reading material and answer bookEnglish Grammar, spelling and punctuation - Paper 1, short answersEnglish Grammar, spelling and punctuation - Paper 2, spellingMathematics Paper 1 - arithmeticMathematics Paper 2 - reasoningMathematics Paper 3 - further reasoning Results of the new KS2 tests will be given in scaled scores - this scoring system takes into account the difficulty of the exam: a scaled score of 50 on a hard exam might well be equal to a 70 on an easier exam. Scaled scores are designed to allow for easier comparisons between groups of pupils over time. The lowest possible score in this scaled system will be 80, while the highest will be 120. The expected score for each child will be 100 or over, with anything lower being considered a fail.Not all current year 6 students will take a science SAT - those who do will sit a physics, chemistry and biology paper. While it may sound ambitious for eleven year old pupils to be talking individual science exams, the difficulty levels are certainly appropriate for this age group, as the following sample questions show:Physics: `Predict whether two magnets will attract or repel each other, based on which way the poles are facing`Biology: `Describe the differences in the life cycle of a mammal a nd an amphibian`Chemistry: `Group a list of materials according to whether they are solid, liquid or gas` Schools participating in the KS2 science exam will be selected in May 2018. Changes to Key stage one and two are not common - many see them as the bedrock of the education system. Key stages were first formulated in the 1988 Education Reform Act, as part of the inception of the National Curriculum. There are six Keys stages in all, covering the entire span of the pre-university education range. When introduced they were simply intended to classify and demarcate the education levels of different age groups of pupils, and specified very few changes to long standing teaching practices.Key stage zero covers nursery, or reception as it is sometimes termed, applying to children aged 3-5. Key stage one covers infant school, with pupils aged 5-7. Key stage two applies to Junior school, for pupils aged 7-11. Key stage 3 begins in secondary school, for pupils aged 11-14. Key stage 4 applies to GCSE s, where pupils are aged 14-16. Key stage 5 concerns sixth form (also called Further Education ), with pupils aged 16-19. 3 years ago0Add a Comment
Fewer Americans are Reading LiteratureDoes it Matter
Fewer Americans are Reading Literatureâ"Does it Matter Fewer Americans are Reading Literatureâ"Does it Matter? According to the National Endowment for the Arts, there is a steady decline of literary reading. In fact, only 43 percent of American adults read at least one work of literatureâ"novels, short stories, poemsâ"each year. Between video games, tablets, streaming services and the endless trap of the Internet, it is true that there are many more distractions today than 30 years ago. So, this leads us to our pressing question. Does it even matter if people are reading fewer works of literature? In short, yes! Thereâs proof that reading actual books on paper is more beneficial than skimming social media posts or news updates on digital screens. Reading literary fiction appears to boost the quality of empathy in the people who read it because it allows them to see the world from another personâs perspective, whether itâs the author or the character imagined in the novel. And empathy isnât the only benefit obtained from reading literature. Check out seven research driven reasons to read more literature. As we wrap-up National Reading Awareness Month, thereâs no better time to believe in the value of reading for your childrenâs development. Reading just twenty minutes a day can help your children achieve new heights. Enjoyed reading this article? Discover even more learning tips! You might also be interested in: 8 Must-Read Collections of Poetry on Kumonâs Recommended Reading List Spark a Love for Literature with These Read-Aloud Tips 6 Oral Reading Tips for Parents Happy Read Across America Day! Kick-off National Reading Month by Celebrating Dr. Seussâ Birthday With These Fun Activities Fewer Americans are Reading Literatureâ"Does it Matter Fewer Americans are Reading Literatureâ"Does it Matter? According to the National Endowment for the Arts, there is a steady decline of literary reading. In fact, only 43 percent of American adults read at least one work of literatureâ"novels, short stories, poemsâ"each year. Between video games, tablets, streaming services and the endless trap of the Internet, it is true that there are many more distractions today than 30 years ago. So, this leads us to our pressing question. Does it even matter if people are reading fewer works of literature? In short, yes! Thereâs proof that reading actual books on paper is more beneficial than skimming social media posts or news updates on digital screens. Reading literary fiction appears to boost the quality of empathy in the people who read it because it allows them to see the world from another personâs perspective, whether itâs the author or the character imagined in the novel. And empathy isnât the only benefit obtained from reading literature. Check out seven research driven reasons to read more literature. As we wrap-up National Reading Awareness Month, thereâs no better time to believe in the value of reading for your childrenâs development. Reading just twenty minutes a day can help your children achieve new heights. Enjoyed reading this article? Discover even more learning tips! You might also be interested in: 8 Must-Read Collections of Poetry on Kumonâs Recommended Reading List Spark a Love for Literature with These Read-Aloud Tips 6 Oral Reading Tips for Parents Happy Read Across America Day! Kick-off National Reading Month by Celebrating Dr. Seussâ Birthday With These Fun Activities
Thursday, March 5, 2020
Real Chemistry Luminous 3-Minute Peel Review
Real Chemistry Luminous 3-Minute Peel ReviewYou're probably aware that you need to make the right choice when it comes to your moisturizer. And that's especially true if you have a skin condition that includes dryness, inflammation, and sensitivity. A good moisturizer is one that will address all of these problems and keep them from coming back.So, as you might already know, the role of oil in your skin's oiliness can be two-fold. It first provides moisture to the skin and it also works to protect the surface of the skin from the elements, including sun damage and wind. But, it also does more than that.Moisturizers are not just about how they moisturize your skin. They're also used to give skin that normal shine that we all want to prevent the signs of aging, to diminish or even reverse lines and wrinkles, and to bring younger looking skin. That's why many skin care experts also consider it a very important step in a skin care routine.And that's what makes the Real Chemistry products so special. The vitamins, antioxidants, and proteins that make up the ingredients in this product are what make it a particularly effective way to combat all of the issues that you face. And with the three-minute peel, the effects don't last long at all. At the very least, it will leave your skin feeling smooth and soft for a very short time.One of the main reasons that Real Chemistry products are so successful is that they contain no alcohols. Instead, the ingredients they use are all natural and all known to work well to repair damage caused by the elements. When used with oil, this healing process can be quite potent.But what truly setsReal Chemistry apart from other moisturizers on the market is the fact that their line of products also contains avocado oil. This oil is rich in vitamins and antioxidants that are vital to your skin's overall health. And because it also contains vital protein content, it can also be used to reduce lines and wrinkles and even reverse signs of agin g.As you can see, this product isn't just another moisturizer. It's one that can benefit your skin without all of the harsh ingredients that can cause irritation and dryness. Make sure that you choose the real chemistry products that you need to get the results that you want, both now and in the future.
Book To Help Learn Algebra
Book To Help Learn AlgebraIf you want to learn how to do math, but just don't have time to devote to the subject, consider a book that teaches how to do it at home. I mean, isn't it great that you can learn how to do math online, with practically no investment of your time?If you want to learn how to do math at home, you need to find a text that is challenging and interesting, and doesn't overwork your head! This is a book that will guide you through the steps of learning the basics of algebra.You see, a typical text book on algebra focuses on one step at a time, and in most cases does so very briefly. They are typically three or four chapters, and even these get pushed to the back of the book.When you are learning how to do math at home, you should be able to take as much time as you need to grasp the concepts. The book that will help you learn how to do it online doesn't want you to think about algebra. Instead, it wants you to start thinking about multiplication and any of the oth er numbers that make up algebra.This book will help you understand what you have read, and you will use the information to make the new information fit in better with what you already know. Instead of sitting and looking at a page of text, you will have a page of pictures with additional definitions, equations, and diagrams.Instead of reading a long paragraph, you will be in the position of listening to a teacher that will guide you through the process. Most students learn better when they are moving forward, not back, so when you have a book that will help you learn how to do math, you will be well on your way to accomplishing the tasks at hand.Another thing that will help you learn how to do math at home is to be able to access the internet from your own computer. There are several books on the market, and some are even found online. The internet is a fantastic tool for a student and the learning materials offered online are excellent.
What Is The History Of Pilates
What Is The History Of Pilates What Is The Origin Of Pilates? ChaptersThe Father of PilatesWhat is Pilates?The Principles Of PilatesHow Pilates Grew Into An International PhenomenonNo matter where you live in the world, if you are interested in fitness and being healthy, you have heard about Pilates. You may have even been to a few classes and tried your hand at some of the postures. But although Pilates is an acclaimed practice of exercise that is well known all over the world, not many people know how Pilates started and why. Letâs investigate that today and use the knowledge to further our practice as Pilates practitioners. CarleyYoga Teacher 5.00 (5) £100/h1st lesson free!Discover all our tutors GenYoga Teacher £45/h1st lesson free!Discover all our tutors JulieYoga Teacher £30/h1st lesson free!Discover all our tutors LynnYoga Teacher 4.89 (9) £35/h1st lesson free!Discover all our tutors AliceYoga Teacher £20/h1st lesson free!Discover all our tutors LauraYoga Teacher 5.00 (6) £70/h1st lesson free!Discover all our tutors UndramYoga Teacher £25/h1st lesson free!Discover all our tutors LottieYoga Teacher £10/h1st lesson free!Discover all our tutorsThe Father of PilatesJoseph Pilates was a physical trainer from Germany. As you might have guessed from his name. Joseph invented Pilates and named it after himself, which is the short version of the events that lead to Joseph creating this now a popular form of exercise.The detailed version is that as a child Joseph suffered from many ailments and was often unwell. Determined to change his fate Joseph set about creating his own rehabilitation. Dedicating himself to the study and practice of exercise. He studied exercise from the east such as yoga, tai chi, Zen practices and martial arts and exercises from the west such as gymnastics, self-defence and boxing.As he gained notoriety for his skills, he had the opportunity to travel to the USA and England. Joseph was working in England at the time of the First World War and was detained in an enemy camp for being German . This seems like a sad event to pass in such a talented manâs life, but it was within this camp that Joseph invented Pilates.Interested in the idea of exercise which balances the mind and body, Joseph tested his theories on other detainees, and when he had the opportunity to work as a nurse, he was also able to test this on bedridden and wounded soldiers.After the war, Joseph was released and moved back to Germany and later back to the USA. The Pilates method was shared and found initial popularly with dancers including modern dance schools and the ballet community. Because of its focus on better posture, body alignment, core strength, muscle tone and ability to alleviate injuries.Joseph Pilates opens his first studio in New York City in 1923, he had originally called the method âControlologyâ. Until it was thankfully changed to Pilates sometime later. It is the students that were trained initially by Joseph at this studio in New York. That became specialized in the practice and helped to spread the awareness of Pilates around the world by opening their own studios.Check out different lessons on yoga near me.Being precise, present and fully aware in your practice is imperative to the engaging the movements correctly. Photo Source: UnsplashWhat is Pilates?Pilates is resistance exercise which brings together the body and mind to improve core strength, mental focus, body alignment, the range of motion, body awareness. The benefits of Pilates leads to a balanced body, improved posture, a stronger mind-body connection and excellent overall health. Pilates is suitable for all people on the planet.The Principles Of PilatesPilates was created to be a philosophy and a wellness method, rather than just a way of exercising. It uses the precision of movement and gives emphasis to balanced awareness. The method incorporates movements which are uniformly followed, and these movements are based upon a set of principles. It is these principles that secured the Pilates method as anMindful breathing is one of the most important parts of the practice of Pilates. Photo Source: Unsplashimportant range of motion and set it apart from other exercise programs.The Essential Principles Of PilatesThe Centring PrincipleIn Pilates the centre of the body is known as the core or powerhouse, it is the area between the lower ribs and the pubic bone. It is at this point that many Pilateâs exercises originate from. The principle of centring concentrates on restoring and maintaining your physical core strength while simultaneously invigorating your spiritual centre.The Concentration PrincipleBeing precise, present and fully aware in your practice is imperative to the engaging the movements correctly. You should move with purpose and forethought about what it is that you are doing. As you empower your practice by being fully present, you will find it easier to overcome any physical condition.The Control PrincipleWhen doing Pilates, you should be moving your body wi th deliberate movement. No part of the body is left to do as it pleases. This body control is devised to increase body health, decrease injuries and restore the awareness that we have of our bodies. When adopted with the other principles and used within your practice you will find the control to be essential to your ability to your vitality.The Precision PrincipleThis is one of the main goals for Pilates because when you can bring precision to your movements, you will find that you can integrate and maximise your mind and body synchronisation much more easily. Precision leads on from concentrations but goes further because it encourages you to look at the precise position of each posture and see how each part of your body relates to the other parts while in the position.Search for yoga near me and start now.The Breath PrincipleMindful breathing is one of the most important parts of the practice of Pilates. Proper breathing engages our abdominal core muscles, which invigorates the bo dy. Adding deep breathing to your Pilates practice or any physical exercise will strengthen your workouts. Improve the precision of your coordination, intensify your endurance and transform your exercise program.The Flow PrinciplePilates incorporates fluid and continuous movement, to support the idea that each posture has a beginning and an end. When you concentrate on how to do each posture you will learn the natural start and end point for each exercise. This flow gives you a full body workout as you move with grace and discipline. This engagement in the movement from head to toe is complementary to the flow that is taking place in your mind. When you are calm and present, you will find this much easier than when you are stressed and tense. Going with the flow of movement and with the flow of your mind, is another area that body and mind connect in Pilates.In Pilates the centre of the body is known as the core or powerhouse. Photo Source: UnsplashThe Additional Principles Of Pilat esThe principle of Harmony â" Allows for the seeking of harmony within your body, mind and spirit. The focus of harmony while practising Pilates is the path to creating a balanced body. There is never any need to push too hard or go against the natural movement that your body can make. You decide how far you can go in each exercise by being aware and present.The principle of Efficiency â" Allows us to be aware of our anatomy and correctly engage the right muscles groups for each exercise. When we know that it is our hamstrings that need to relax we can focus on neutralising the blockage to our vitality.The principle of Balance â" Allows us to bring together all of the principles of Pilates. Here we can focus on alleviating any imbalances within the body. Being in balance from head to toe means being willing to accomplish all of the principles within your Pilates practice.The principle of Awareness â" Allows us to explore the body and the mind while taking part in the flow of mov ement and specific exercises. Not just being aware of how you are moving but also being aware of your mental processes while you are moving. Having awareness about how your body is moving within the practice so that you can correct and improve consistently.How Pilates Grew Into An International PhenomenonAfter Joseph Pilates died, the practice of Pilates was continued by his top students. The students opened their own studios, and some tweaked the method to suit their interpretation of Pilates. One student brought his experience as a dancer to the practice and gave greater focus to the flow that we see practised today.Students opened schools all over the USA and the world, but the most notable studio was opened in Los Angeles, USA. It was this LA studio that quickly became popular with Hollywood celebrities. As they began to talk about the amazing effects of Pilates in their lives more and more celebrities joined in with the movement. Before too long the media caught on to the new c raze called âPilatesâ, and they began to feature and publicise the practice heavily in various mediums. That was the point of take-off for Pilates and news spread from LA to the USA to the world.Pilates was invented around 100 years ago, the first studio opened around 95 years ago, and it went viral around 40 years ago. Since then it has grown to be practised by millions of people worldwide, from housewives to CEOs, from Athletes to scientists, from children to old people, flexible people to inflexible people. There is no barrier to begin Pilates which makes it a genuinely universal discipline.Joseph Pilates once said that he thought he was ahead of his time. It is clear that if Joseph Pilates were alive today that he would be one of the wealthiest and most successful fitness professionals on the planet. Like many of the old greats, Joseph was a genius, whose commitment to wellness, body awareness and mindful balance has left a lasting legacy for the rest of us to enjoy.Thank yo u, Mr Pilates!
The Bases of Geometry
The Bases of Geometry Geometry, From the Beginning ChaptersHow it All BeganEvolution of Geometric StudiesGeometry Studies TodayPractical Uses of GeometryIt sometimes crosses this writerâs mind to wonder about the first individual who looked at a rock and envisioned its possibilities â" as a tool, a weapon; something that could be made into other useful thingsâ¦How must oneâs mind work to see something so ordinary, so commonplace and see within it endless potential uses?Likewise with recognising shapes, perhaps in oft-repeated patterns, and setting oneself to studying them.Admittedly, triangles, squares and parallelograms are not generally seen in nature; if any geometric shape could be said to be prevalent, it would be the circle or perhaps a sphere.Well, honeycombs and fliesâ eyes are constantly-repeating hexagonsâ¦Still, doesnât that thought make you wonder how quadrangles and polygons of all types came to be universally accepted as basic geometrical shapes?Today, your Superprof looks at geometry from its early days unti l now â" a discipline so fundamental to our way of life that we cannot do without it. MyriamMaths Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors MarkMaths Teacher 5.00 (5) £200/h1st lesson free!Discover all our tutors Dr parikhMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors KamalMaths Teacher 5.00 (9) £30/h1st lesson free!Discover all our tutors PetarMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors GowsikaMaths Teacher 5.00 (5) £15/h1st lesson free!Discover all our tutors RubenMaths Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors ConorMaths Teacher 4.75 (4) £30/h1st lesson free!Discover all our tutorsHow it All Began Early geometers did not have tools such as this to solve their geometry problems Image by OpenClipart-Vectors from PixabayAlthough Euclid is widely considered the father of geometry, geometric studies were underway long before he consolidated observations into a treatise.In fact, about 2,500 years before Euclid was born, Ancient Mesopotamians were studying obtuse triangles. Babylonians had compiled substantial empirical data concerning angles, lengths, area and volume to build their fantastic cities and further their astronomy studies.Some of the principles they established are so elaborate that todayâs geometers would have to draw on advanced calculus to arrive at the same conclusions those early mathematicians did.Concurrent to Babylonian studies, geometric advances were being made in India. By 800BC, Vedic teachings included what became known as the first statements of Pythagorasâ Theorem in their directions for building a suitable altar for worship.On the other side of the Fe rtile Crescent, Egyptians were forging ahead with their geometric studies as well. They had to have an understanding of geometry; how else would they have been able to construct the pyramids?Finally, Greek minds took matters in hand.Today, we credit Thales with the original mathematical deduction; unfortunately, none of his work survives. However, it is postulated that Pythagoras must have been a student of his because much of his work reflects his proposed teacherâs ideas.Did you know that, besides being mad for triangles of all types, Pythagoras was a world traveller? He made his way to Babylon and kept going until he arrived in Egypt.Some speculate that he was less a geometer than a compiler of already-existing information but what is clear is that he was the first to give deductive proof of what we know as the Pythagorean Theory.A century on, back in Greece, the great philosopher Plato was also a fan of geometry. Because he was so influential, mathematicians soon adopted his c redo: that geometry should employ no tools other than a compass and straightedge.Wouldnât you know it? Some of the straightedge and compass problems were proven through the usage of the (mathematical) theory of fields to be impossible⦠but not until about 2,200 years later!Finally, we get to Euclid.Thought to be a student at Platoâs Academy, his 13-book (chapter) treatise titled Elements of Geometry presents certain âtruthsâ - ideas about geometry that are widely held to be correct.You can see for yourself; Euclidâs five axioms are:any two points can be joined by a straight lineany line segment can be extended indefinitely in a straight linea circle can be drawn with any centre and with any radiusall right angles are equaltwo parallel lines bisected by a transversal line form supplementary interior anglesâ¦this is known as the parallel postulateThese precepts, proven time and again, form the foundation of the discipline we know as geometry.Today, many of the concepts ex pressed by Euclid geometrically are now classified as algebra rather than purely as geometry, giving irrevocable proof that all maths are related.Have you mastered these basic geometry equations? The pyramids at Giza prove that Ancient Egyptians understood geometric forms Image by jarekgrafik from PixabayEvolution of Geometric StudiesThese classical Greek studies, which included geometry, had to somehow make their way into the wider world, specifically to Europe, where some of the greatest minds were at work.Much of the bounty of the Islamic Golden Age, the period between the 8th and 14th centuries appeared in the great royal courts of the day.Ptolemyâs Almagest, a mathematical/astronomical treatise to this day considered the most influential scientific text of all time, was given to King William I, the second king of Sicily, as a gift.This work and others written by Euclid were translated, permitting further development of Euclidean geometry as well as algebraic geometry. The end result was explosive new theorems and concepts.By this time, the Italian Renaissance was well underway; artists became unlikely beneficiaries of advances in geometric studies; their paintings gain ed depth and dimension from the geometrical method of perspective.Think about Leonardo da Vinciâs most famous work, Vitruvian Man: the exactly-proportioned human form perfectly contained within a circle which itself is âsquaredâ - again, we return to the compass-and-straightedge challenge!Still, information moved slowly; not every Renaissance artist or scholar gained exposure to the latest ideas regarding shapes and equations.Mathematician and philosopher René Descartes levelled the playing field by introducing geometry with coordinates and equations â" what is now known as analytic geometry.The second big shift in geometric studies of the day was projective geometry â" how points align with no measurement involved.French mathematician Poncelet blew the field of projective geometry wide open but it wasnât until Isaac Newton and Gottfried Leibniz, working independently, established calculus as a method of solving geometryâs intractable problems.Do you need a geometry tut or to help you understand calculus as it relates to geometry?Geometry Studies TodayNot everything Euclid postulated was gospel; the parallel postulate proved impossible to prove, which gave rise to a type of geometry that proves the impossibility of that postulate; it was dubbed non-Euclidean geometry.Other theories and discoveries soon followed. One, by Bernard Riemann, applied calculus to smooth surfaces, founding a different branch of non-Euclidean geometry and provided the groundwork for the worldâs most famous equation: e=mc2.From there, weâre treated to further developments in algebraic geometry, which led to finite geometry, which, in turn, permitted development in coding theory and cryptography.Topology, the study of the properties of a geometric object, looks at larger aspects of shapes such as their connectedness and boundaries rather than elemental qualities such as length and equality of angle measurements.Today, with computer applications governing so many aspects o f human life, new fields of geometry have taken the lead. Some deal with geometric algorithms (computational geometry) while others concern themselves with individual geometric data sets (digital geometry).Make use of these online geometry resources to further your studies in geometry Everything from drones to satellites operate on a coordinate plane Image by S. Hermann F. Richter from PixabayPractical Uses of GeometryIt seems almost a shame that the field of geometry is so advanced; long gone are the days of Euclid and Descartes â" after all, nobody is going to rename the Cartesian coordinates system after a current-day geometer.Meanwhile, students in primary and secondary school scratch their heads over why they have to learn the Pythagorean Theorem when there are so many tools at our disposal to measure, calculate and quantify everything.Such a view is painfully short-sighted.You may not ever build a house or a piece of furniture yourself but you surely must appreciate that whoever is involved in the building process, from the architect to the machinist running the lathe that spins the wood to make the chair or table leg, must know geometry â" otherwise, houses would crumble and no chair would be safe to bear any weight.Everything, from the volume of the gla ss you drink your morning juice out of to the tyres on your car employ geometric principles in their making and in their usage.What if you simply donât care about straight lines and geometric shapes?If you canât see a future for yourself in some murky lab, doing calculations all day long, indeed if youâve reasoned that coding and computer programming is where the money and prestige are at⦠guess what? You will have to know geometry!If you aspire to become the next great game designer, you should know that everything from vector graphics to the polygons that form the gameâs terrain is geometric.What about sat-nav, GPS and even your new flatscreen television? All of them make use of geometry to calculate everything from positioning to pixels to provide you with the optimal experience based on your position.Maybe youâre currently stymied at having to calculate the circumference of a circle or the area and volume of a pyramid now but, the more you learn about geometry and it s functions in the world around you, surely, the more you will warm to this area of study â" maybe even make it your lifeâs work!Geometry truly is so much more than obtuse angles taught by obtuse professorsâ¦To get you properly started, we've compiled basic Euclidean geometry formulas in this handy table.Basic Formulas of Euclidean GeometryShapePerimeterAreaTrianglea+b+c Pythagorean Theorem: a2+b2=c2Area= (1/2)*b*h b=base; h=height Heron's Formula: Area = sqrt [ s(s - a)(s - b)(s - c) ] , where s = (a + b + c)/2.Square4aa2Other Quadrangles2L + 2WRectangle: l*w Parallelogram: b*h Trapezoid: (1 / 2)(a + b) * hOther Polygonsx(number of sides)Pentagon: (5 / 2) à s à a Hexagon: 1/2(P)(a) Octagon: 2 x (1 + v2) x b2 a = apothem b = baseCirclescircumference: 2*pi*rpi*r 2Now digest this complete guide to geometry.
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