deviance :: essays research papers

SUMMARY OF DEVIANCE In the eighth chapter of â€Å"Sociology†, I. Robertson explains that there are many definitions about deviance but not enough, so he tries to find closer one and clarify the deviance. He starts with a question which is â€Å"who is deviant?† and lists of its answers.In the list of its answers, Robertson benefits from Simons` study and he says that; â€Å"the words refer to people and acts that other people strongly disapprove of †(23).On the other hand, Robertson then counters it with conflicting topic of sociological literature.He claims that the concept of this definition is found slippery one by sociologists.After this idea,Robertson questions second definition which is â€Å"dviance is any behavior that doesn`t conform to social norms†(24).However, Robertson judges this definiton as not helpful.He exemplifies that eating three meals in a day can be deviant behavior for some unimportant social norms.Therefore, Robertson argues that minor deviations are n`t included in the particular sociological interest.He claims that the main idea of sociological interest is about violations which are regarded as offensive by majority of people. And he says that one word is stigma – a bad reputation or disapproving by a lot of people. After this analysis, he benefits from second definition and improves it, so he finally declares a definition, which is â€Å"deviance refers to behavior or characteristics that violate significant social norms and expectations and are negatively valued by large numbers of people as a result†(24). He emphasizes that this definition clarifies deviance more than others. He continues with clarification of deviance by helping of main three points. Firstly, he claims that there is no close relationship between deviance and statistical rarity. He exemplifies that jogging before the breakfast can be unusual statistically but not a reason for deviance. However, Robertson then states that some norms can be modified or abandoned time to time. He makes clear it with an example that premarital sex was prohibited in American society several years ago. However, nowadays the majority of American society admits this event normally. As a result, Robertson declares firmly that norms can lose their force or influence as time passes. Secondly, Robertson argues about division of â€Å"normals† and â€Å"deviants†. He explains briefly that there is no class between normals and deviants. He illustrates that if we divide people as thieves, patients (mental disordered) or drug users, we will have a few â€Å"normal† people. In addition to them, Robert son says, â€Å"deviance is relative†(25).

Good Education vs. Bad Education Essay

Persuasive Research Paper By; Karen Elzy Date: July 25, 2010 Course: COM 220 Teacher: Sherry Ann Smith Good Education vs. Bad Education Does one think he or she can get very far without having a great education? Statistics shows that people with a great education are much more successful than those who do not receive a great education. Many people who graduate from high school and college are guaranteed to get a better job and higher position than those who have never finish their high school or college education. There are some teachers, doctors, lawyers, journalists, and many other higher educated people who have succeeded with farther education than people who wish not to succeed and not get an education. Good education is better than bad education because the outcome will be much greater with a good education than with a bad one. Nelson Mandela stated that, â€Å"Education is the most powerful weapon which one can use to change the world. † This is true. Every human should want to be educated, because the world is full of technology which influences our world greatly. People who are not educated enough will surely be uniformed and left behind in today’s society. Technology is in business officers, schools, hospitals, doctor offices, stores, homes, and many other places. Today, the school systems start off with teaching the students how to use computers in kindergarten. The students are using this knowledge that they have learned from school and relating it to their parents. Parents should keep their children in school so they can learn everything which being taught by the instructor, and by doing this, the outcome will be rewarding. Teachers are a gift to students and parents because they are teaching the students everything that there is to learn about education. Without teachers, students will not learn the knowledge they need to succeed in this world without a good education. Many surveys show that a good teacher from the 1920-1980’s are more experienced in age in teaching than those teachers who are fresh out of college. Older teachers have more experience and knowledge in child development than college teacher who just beginning and this really matters. Many new teachers cannot explain problems to their students when they write it on the broad. This is what I call bad education, because the student cannot figure the problem out either. When students are failing because of these situations this is when the teacher should call the parent in to see if they could work out a way to help solve this problem together. Many teachers today are not concern about the outcome of their students, so it is very important for the parent keep in contact with that teacher and their child grades. This is when bad education is a part of the student and the teacher who is teaching. Many student drops out of school because of lack of consistency they receive. Having a good education will ensure one to have a better job than anyone who does not have an education. By continuing one’s education and getting a college degree, applying for major jobs will not be such a hassle. The reason being is because most companies directly look at the education section of an application or resume. The perks with having a good job will be such as: paid vacations, top salaries, 401k, good insurance packages, and many others. Many people may start out in a great established company and learn everything about it; then continue or progress their own business and become more successful than that previous business. Having knowledge causes all these successes. How can one have a good job without learning skills from education? Many jobs are skilled and furthering education will help with a much more skilled jobs or profession. Encouraging education by talking to the students will bring love, wealth, values, and family respect. When students feel they do not have any encouragement they will drop out of school, some will go to jail, depression, drug abuse, and steal: the results of this are a mind is a terrible thing to waste. Going to school is not just about being there physically. It is important to pay really close attention to what the instructor is teaching. Clowning around would be a very horrible idea. This can cause one to miss important information for one’s future workplace. Employers will not take him or her seriously if they look at one’s transcript and thinks they have goofed off while in school. They will think that it will be brought to their workplace. Furthermore, paying attention will guarantee one the skills that can help in their future workplace this can help one to advance faster than other employees. This can help one to get a promotion and earn a better pay. Having a bad education will really hurt one. Going to a school in which appropriate information is not taught is not such a good idea. This will cause someone not to find a good job. Employers may think that important skills are lacked of their job. Bad education will definitely not lead to a great place. Poverty will be definitely in question that will cause one’s family to suffer. In question why would one want to suffer do to this bad outcome? The economy today is suffering enough, and education should be ones top priority to help with tomorrow’s economy. The economy is suffering from lack of jobs and has caused many people to become homeless. If some of the people would have finish their education then some of them would not be homeless due to the economy. Many homeless children do not attend school because of their situation. Many kids are being teased by other children because of their homeless situation, this cause a problem in education as well. Homeless kids are rated highly in education than some children who attend daily. Many children miss out on education because of being homeless. Many people were deprived of continuing their education due to lack of funding. Today people are successfully continuing their education because of grants and low interest rates on loans for education. There are people who have not attended school for a long period and due to available funds have returned. The president of the United States of America has helped make this possible for adults and others to go back to school. Many opportunities through programs as these help to better education. If some of these programs were offered earlier maybe most people would have finished school. There are things that can cause bad education. For example, mental and physical abuse can cause one to have a low self esteem about them. If someone were to lose a parent or someone close to them this would cause him or her to avoid school. Many kids bully other kids and cause them to drop out or not wanting to return to school at all. Parents need to pay close attention to his or her children in order to make sure he or she is not facing any of these problems. Many schools pay close attention to children attitudes to see if any changes have occurred. There have been many reports about abuse and kids who suffer in their education because of such reason. There are after school programs to help further children education, and to help working parent who do not have the proper time with helping their children with their homework. These programs are designed to help with homework, study skills, testing, and behavior conduct. There are many dedicated teachers and teacher aides who take the time out to help children advance in his or her education. Many parents are very grateful to these teachers and teacher aides for their time and effort in helping his or her children. Through these programs many children have passed leaped and other important test for school. These children who attend these programs have good study habits and are very dedicated to their learning. The outcome help the children score higher on different test and help them to become honor and respectable. Distinguishing good and bad education is not hard to do. A good education can include a school and/or instructor meeting and talking to their students. A good school and/or instructor will build their student’s confidence to make them feel like learning, participating in classroom activities, and getting to know the students parents. A good education can also include such things as, after school tutoring, respecting and giving respect, and make their students get involved; however, it is not limited to these things. Having a good education guide will make the student understand all material efficiently. For example, the instructor will make sure everything is explained fluently and is understood, their classroom will be in order. They will make sure the material is not boring and make sure their students are alert; they will care and make sure to encourage their students on how important their work is and how far it will take them in life if they complete it and earn their diplomas. A bad education is kicking out a student for asking a question that the instructor may have answered or may have not; patience is very important when it comes to education. If an instructor is rude and unenthusiastic, it can make the student feel as if they need not to complete the course. However, if the instructor stop and help challenge them, the student will look forward to getting their education and make sure to make every class. If an instructor shows that they are only there to get a paycheck, this can more than likely stop the enthusiasm of the student. A bad instructor can indeed make their student feel dumb which can cause a student to be a dropout and end up as a statistic. Remember education is important so the school, instructor, and student shall take it seriously. A good education will help one get a great job that has a good pay and great benefits. The result of a good education can lead to making friends that can be there for a lifetime and a possible business partner. However, if one receives a bad education, if can lead to a road of failure. Bad education will really hurt one in the long run; he or she may not be able to get a good job, a steady job, and may end up living in poverty. Employers may think that one lack some skills and give one a very low position and may be even under paid. The economy will not suffer if everyone would stay in school and receive their education. Thanks to the many opportunities of grants and loans to help further education, it can really make everyone’s future bright. If people would pay close attention to kids they can see if they are facing major problems that are preventing one from their education. After school programs are very helpful in helping students to advance in their studies, and it is also a great tool to their parents as well. In order for one to succeed, one must be in an effective school system with reliable material being taught. One must also have an instructor to encourage them and help out if the understanding is not present. Encouraging education by talking to the students will bring love, wealth, values, and family respect. If the encouragement is not present and/or a bad education would be received by the student which can cause them all kinds of downfalls in the future. Staying in school, being focused and getting their proper education are the goals in being successful. In conclusion, good education is better than a bad education because the outcome is much better and the future will look much better with a good education rather than a bad education. As Nelson Mandela says, â€Å"Education is the most powerful weapon which you can use to change the world†. Many doctors, lawyers, engineers, writers, public speakers, and even teachers and students have really changed our world today. Education is the key to everyone’s success story. Good Education Vs. Bad Education References Hein, Karen. â€Å"Young People as Assets: A Foundation View. † Social Policy 30. 1 (1999): 20. General One File. Web. 13 June 2010.

Women s Rights Of Women - 839 Words

Women in Slavery As I consider the experience of women in slavery, I believe they had a less difficult time than enslaved men because in the narratives of the former slaves, Charity Anderson (Mobile, Alabama) and Tempe Herndon Durham (Durham, North Carolina), they portray the scenes that men had a harder time during the slavery rather than the enslaved women. Douglass doesn t talk about women very frequently in this narrative, but when he does, he usually links them with suffering. Possibly because the nineteenth-century, south was a place where women were supposed to be shielded from danger, he makes a special point of describing the upsetting sight of female slaves being beaten and abused. Rape of female slaves by their owners was a frequent, as Douglass reminds us. The beating of Aunt Hester in Chapter I, the neighbor punishment his slaves Henrietta and Mary in Chapter VI, and Thomas Auld s nastiness to Henny in Chapter IX are all instants of aggressive violence toward women. One thing to consider is the fact that Mr. Auld was not fierce toward his wife when he caught her teaching the slaves to read, this illustrates the fact that only black people were the victims of violence. In contrast to Douglass narrative, the enslaved women in their narratives focus more on how black slaves were brutally treated, but women were not exposed to th at kind of torture even though they were categorized as slaves. According to the class lecture on changes in the nature of slavery, inShow MoreRelatedWomen s Rights Of Women Essay1455 Words   |  6 Pagesa myriad of women have expressed through outlets such as public assemblies, literature, and speeches. There have been three waves of the women’s movement, each targeting a variety of issues within each era. The third wave was in 1995, where Hillary Clinton spoke in Beijing, China, claiming that women’s rights were the same as human rights, that every aspiring girl deserved the civil liberties that every man was given around the world. Moreover, the movement had shifted towards women in developingRead MoreWomen s Rights Of Women1265 Words   |  6 Pagesstands in the way of women being equal to men? Journalist Carlin Flora suggests the following, â€Å"While not all claims to humanity are universal and no one context, culture or continent can truly represent all peoples, the following three examples from very different contexts, cultures and continents show that some violations of women’s human rights are universal. In particular, it is still the case the world over that a woman’s reproductive rights, which impact on her right to life, are still seenRead MoreWomen s Rights Of Women881 Words   |  4 PagesTwenty –first century ladies are discovering it a daunting task to keep up both sexual orientation parts as an aftereffect of the women s activist development. They are presently assuming liability for both the supplier and the nurturer, battling like never before to acquire and keep a superior personal satisfaction. Woman s rights has supported in equivalent vocation opportunity, battling to get ladies acknowledged into the employment advertise, and what initially began as ladies strengtheningRead MoreWomen s Rights Of Women Essay1647 Words   |  7 Pagesthe early 1920’s, women thought they had achieved the unachievable. They could finally work, keep their earned wages, mar ry whomever they please, and even vote. After reaching their goal and fighting vigorously, women could taste equality and the freedom they deserved. While women still have the right to work in today’s society, women are not exactly treated equal in the workplace. Regardless of the past and the extreme measures taken to ensure equal opportunities for both men and women, there are manyRead MoreWomen s Rights Of Women1590 Words   |  7 Pagesthe 1920s, women were ignored in every aspect of their life. From politics, to social situations, women were constantly looked at as lesser. The 20s was a decade of women ready to fight for their rights. From gaining social freedoms, to getting political rights, the 20s was the first decade of feminism. Many women played key roles in the fight for women s rights through speeches, marches, and much more. The women that fought for their rights in the 1920s completely changed how women live their livesRead MoreWomen s Rights Of Women1230 Word s   |  5 PagesWomen’s suffrage has stretched from the 1800’s to present day, as women have struggled to have the same civil and constitutional rights as men in politics and be appreciated as equals in the workforce. Groups of women known as suffragists questioned the customary views of women’s roles. Eventually our nation has evolved and realized that male-controlled societies suppress women’s rights. From the beginning steps taken in 1850 to 2013 with women earning combat roles in the military, women’s rolesRead MoreWomen s Rights Of Women1206 Words   |  5 Pagesto speak of women and the role of women in this election, the subject of women is tiresome but necessary in a world where gender is still existent as an obstacle for most. I cannot identify what woman is. I am basing my definition from our modern understanding of woman, our general view, and the popular experience. People are using younger women voting for Bernie Sanders as proof of gender’s irrelevant in this election, that women have achieved their rights. Even if women ‘have rights now’ it doesRead MoreWomen s Rights Of Women1393 Words   |  6 Pages Women all over the world are being treated different than men. Iran is one of the places that women are being treated the worst. From restrictions to punishments, women in Iran are being treated with no respect, and that is not okay. Women’s rights activists have tried to get it to change, and have traveled to many places to try and get more people to join their movement. There are many issues with women not having the same rights as men. One of the main problems is that they are treated lessRead MoreWomen s Rights Of Women1272 Words   |  6 PagesThroughout history, women have fought a strenuous battle for equal rights. Many men, and even some women, all over the world believe that women do not share the same value and importance to society as men do. On September 5, 1995, Hillary Clinton spoke at the 4th World Conference on Women, on behalf of women all over the world. Clinton raised awareness on how women s rights are being violated and why it is important to recognize women s rights as equal to everyone else’s rights. Even today, in 2016Read MoreWomen s Rights Of Women1052 Words   |  5 PagesThe family has traditionally been the basic unit of Chinese society where women have long been charged with upholding society s values in their roles as wives and mothers. Especially in the Qing Dynasty, women were required to balance society s i deals with the reality of raising a family and maintaining a household. Throughout the imperial period and into the beginning of the twentieth century, the relationship among family members was prescribed by Confucian teachings. The revered philosopher

Advantages of advertising on your own!

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A Family s Parental Sexual Orientation That Affect A...

RaeLani Mathias Psychology 314 Article Report #1 17 Oct. 2016 Goldberg, A. a., Kashy, D. k., Smith, J. j. (2012). Gender-Typed Play Behavior in Early Childhood: Adopted Children with Lesbian, Gay, and Heterosexual Parents. Sex Roles, 67(9-10), 503-515. Introduction There are many important facts about a family’s parental sexual orientation that affect a child’s growth. One of those revolves around the gender-typed play behaviors of children in the early stages of life. One study conducted in 2012 by Goldberg A., Kashy D., and Smith J. researched and examined questions relating to this subject to further knowledge of children’s cognitive growth and development in early years of life. This study focused on two main hypotheses that follow ideas from social constructionist and social learning theories respectively; â€Å"Children in same-gender parent families will be less gender-typed in their play than children in heterosexual-parent families,† and â€Å"boys in lesbian-mother families†¦ will demonstrate less gender-stereotyped play behavior†¦ than boys in gay-father families and boys in heterosexual-parent families†¦ and girls in gay-father families†¦ will demonstrate less gender-stereotyped play behavior†¦ than girls in lesbian-mother families and girls in heterosexual-parent families† (Goldberg, A. a., Kashy, D. k., Smith, J. j. 2012). Relevant Theories Two theories were identified as predictors of behaviors linked to the sexual orientation of parents and how a child developsShow MoreRelatedHow Parents Sexual Orientation Can Have An Impact On Their Children s Lives980 Words   |  4 Pagesresourced. The purpose of this study was to investigate how parents’ sexual orientation can have an impact on their children’s lives. However, Goldberg Kashy Smith (2012) suggested that future studies should not only control parental characteristics, but also cautiously examine the children in each group of families. They concluded that investigators should be aware of the results before concluding what influence parental sexual orientation had on children’s gender development, due to the lack of clarityRead MoreLearning At Soonest Age, By The Age Of Eight Weeks1086 Words   |  5 Pagesitself, gives adolescents a broader, healthier experience of separating socially coordinated efforts — particularly for kids brough t up by emerging sexual introduction. Whether they comprehend it or not, adolescents are learning at soonest age, by total feeling that all sexes are unmistakable and have hybrid systems for overseeing life, other adults, and child. Fathers tend to play with, and moms tend to look after, youngsters. Fathers energize rivalry; moms support value. One style stimulates autonomyRead MoreHomeless Children : The Poverty Rate, Lack Of Affordable Housing And Single Parent Households1476 Words   |  6 PagesHomeless Children According to recent reports child homelessness, an estimated 2.5 million children are homeless in the United States. Sadly, nearly half of these children are under the age of five. In fact, one in every thirty children is considered homeless and the numbers continue to increase annually (Bassuk, E., DeCandia, C., Beach, C., Berman, F., 2014) Though many factors contribute to this social epidemic, the high poverty rate, lack of affordable housing and single parent households areRead MoreSame Sex Marriage Should Be Legalized . The Same Sex Marriage1723 Words   |  7 PagesConstitution to protect the same sex partner s marriage rights.â€Å" The decision rests in part on the court’s interpretation of the 14th Amendment, stating that limiting marriage only to heterosexual couples violates the amendment’s guarantee of equal protection under the law. Writing for the majority, Justice Anthony Kennedy states that â€Å"no union is more profound than marriage, for it embodies the highest ideals of love, fidelity, devotion, sacrifice, and family.† Kennedy goes on to say that gay andRead MoreTeen Suicide1415 Words   |  6 Pagessuicide is the number two cause of death for teens today. While the questions of why can never be answered for certain there are numerous risk factors that can go into the reasoning for a teen taking their own life. Factors include family problems, bullying, and sexual orientation, but other problems are just natural changes in the developmental process of teenagers. Cognitive and identity development and seeking autonomy are all instinctive aspects of being a teenager, but when a teen sees no way out ofRead MoreDeviance And Its Impact On Society2989 Words   |  12 PagesIntroduction Rule-governed social institutions established or standardized patterns of behaviour. They are family, education, religion, and include economic and political institutions. Deviance is esteemed in the art world, and all great artists have broken with the traditions that preceded them and rebelled against their contemporaries. Yet in society deviance is more often than not condemned. Our apparently contradictory attitudes toward artistic and social deviance are explicable in light of theRead MoreSocial Institutions Are Universal And So Is Deviance3015 Words   |  13 Pagesand so is deviance in these institutions. Critically analyse the statement in the light of different perspectives and your lived experiences. Introduction Rule-governed social institutions established or standardized patterns of behaviour. They are family, education, religion, and include economic and political institutions. Deviance is esteemed in the art world, and all great artists have broken with the traditions that preceded them and rebelled against their contemporaries. Yet in society devianceRead MoreTraumatic Experiences Faced by Tina3025 Words   |  13 Pagesextended family (Finkerlhor Browne; 1985). The type of foreseen traumatic experiences is mostly aggravated by Tina’s profile and situation in the family. Being a step daughter, whose mother constantly wants to make an effort to embrace the union places her in a disadvantaged angle where either one of her step family members may find her either as a threat or an accessory that can be utilised to his advantage. Looking at this scenario, one cannot rule out the huge possibility being of a sexual natureRead MoreThe Law Can Affect Family Life Essay1991 Words   |  8 PagesThe law can affects family life in many ways. Laws will indicate whom and when we can marry, under what circumstances we can file for a divorce, who can adopt chi ldren, what responsibilities should come with parenting, and what happens when we do not uphold our parental responsibilities. In recent years, our lawmakers here in the United States have made important decisions affecting families consisting of gay parents. Gay couples can face a legal minefield when trying to ensure parental rights. AlthoughRead More`` I Do But I Can t 3015 Words   |  13 Pagesviews their desire as abnormal. How far would a nation go to prevent a couple from getting married, threats, imprisonment maybe even death? Nationwide the U.S went as far as making laws and bans to prevent marriage of mixed races as early as the 1600’s. The U.S. created anti-miscegenation laws in many states that served to restrict marriages based solely on race. In the U.S couples that married in spite of the age of anti-miscegenation were arrested once it became community knowledge they were married

Xcvxcvsdfv Free Essays

string(21) " and sector area 22\." Contents MODULE 2 1 Scatter graphs 1. 1 Scatter graphs and relationships 1. 2 Lines of best fit and correlation 1. We will write a custom essay sample on Xcvxcvsdfv or any similar topic only for you Order Now 3 Using lines of best fit Chapter summary Chapter review questions 1 1 5 6 10 10 4 Processing, representing and interpreting data 4. 1 Frequency polygons 4. 2 Cumulative frequency 4. 3 Box plots 4. 4 Comparing distributions 4. 5 Frequency density and histograms Chapter summary Chapter review questions 51 51 56 64 65 68 73 73 2 Collecting and recording data 14 2. 1 Introduction to statistics 2. 2 Data by observation and by experiment 2. 3 Grouping data 2. 4 Questionnaires 2. 5 Sampling 2. Databases Chapter summary Chapter review questions 14 14 16 18 20 23 27 28 5 Probability 5. 1 5. 2 5. 3 Writing probabilities as numbers Sample space diagrams Mutually exclusive outcomes and the probability that the outcome of an event will not happen 5. 4 Estimating probability from relative frequency 5. 5 Independent events 5. 6 Probability tree diagrams 5. 7 Conditional probability Chapter summary Chapter review questions 77 77 79 81 84 86 88 89 92 93 3 Averages and range 3. 1 Mean, mode and medi an 3. 2 Using frequency tables to find averages 3. 3 Range and interquartile range 3. 4 Stem and leaf diagrams 3. Estimating the mean of grouped data 3. 6 Moving averages Chapter summary Chapter review questions 31 31 34 36 38 41 44 47 47 MODULE 3 6 Number 6. 1 6. 2 Properties of whole numbers Multiplication and division of directed numbers M4 6. 3 Squares, cubes 6. 4 Index laws 6. 5 Order of operations 6. 6 Using a calculator 6. 7 Prime factors, HCF and LCM Chapter summary Chapter review questions 97 97 98 100 101 102 104 106 110 110 Chapter summary Chapter review questions 124 124 8 Expressions and sequences 8. 1 8. 2 Expressions and collecting like terms Working with numbers and letters and using index notation M4 8. Index laws M4 8. 4 Sequences Chapter summary Chapter review questions 127 127 129 131 134 138 139 7 Angles (1) 7. 1 7. 2 7. 3 7. 4 7. 5 Triangles Equilateral triangles and isosceles triangles Corresponding angles and alternate angles Proofs Bearings 113 113 114 116 1 19 120 9 Measure (1) 9. 1 9. 2 Compound measures – speed and density Converting between metric and imperial units Chapter summary Chapter review questions 141 141 144 145 145 ii 10 Decimals and fractions 10. 1 10. 2 10. 3 10. 4 Fractions revision Arithmetic of decimals Manipulation of decimals Conversion between decimals and fractions M4 10. Converting recurring decimals to fractions 10. 6 Rounding to significant figures Chapter summary Chapter review questions 147 147 149 151 154 157 159 161 161 14 Estimating and accuracy 14. 1 Significant figures 14. 2 Accuracy of measurements Chapter summary Chapter review questions 192 192 194 196 196 15 Three-dimensional shapes (1) 197 15. 1 Volume of three-dimensional shapes 15. 2 Surface area of three-dimensional shapes 15. 3 Coordinates in three dimensions Chapter summary Chapter review questions 197 202 204 205 206 11 Expanding brackets and factorising 11. 1 11. 2 11. 3 11. 4 11. Expanding brackets Factorising by taking out common fa ctors Expanding the product of two brackets Factorising by grouping Factorising expressions of the form 164 164 165 167 168 170 171 174 174 16 Indices and standard form 16. 1 Zero and negative powers 16. 2 Standard form M4 16. 3 Fractional indices Chapter summary Chapter review questions M4 207 207 208 215 217 217 x2 bx c 11. 6 Factorising the difference of two squares Chapter summary Chapter review questions 12 Two-dimensional shapes (1) 176 12. 1 Special quadrilaterals 12. 2 Perimeter and area of rectangles 12. 3 Area of a parallelogram 12. Area of a triangle 12. 5 Area of a trapezium 12. 6 Problems involving areas Chapter summary Chapter review questions 176 177 178 178 179 181 184 184 17 Further factorising, simplifying and algebraic proof 220 220 222 225 228 230 230 17. 1 Further factorising 17. 2 Simplifying rational expressions 17. 3 Adding and subtracting rational expressions 17. 4 Algebraic proof Chapter summary Chapter review questions 13 Graphs (1) 13. 1 Coordinates and l ine segments 13. 2 Straight line graphs Chapter summary Chapter review questions 186 186 187 191 191 18 Circle geometry (1) 18. 1 Parts of a circle 18. Isosceles triangles 18. 3 Tangents and chords Chapter summary Chapter review questions 232 232 232 233 236 237 MODULE 4 19 Angles (2) 19. 1 Quadrilaterals 19. 2 Polygons 19. 3 Exterior angles Chapter summary Chapter review questions 238 238 240 244 246 247 20 Fractions 20. 1 20. 2 20. 3 20. 4 248 248 249 251 253 Addition and subtraction of fractions Addition and subtraction of mixed numbers Multiplication of fractions and mixed numbers Division of fractions and mixed numbers iii CONTENTS 20. 5 Fractions of quantities 20. 6 Fraction problems Chapter summary Chapter review questions 255 256 258 258 7 Inequalities 27. 1 Inequalities on a number line 27. 2 Solving inequalities 27. 3 Integer solutions to inequalities 27. 4 Problems involving inequalities 27. 5 Solving inequalities graphically Chapter summary Chapter review questions 358 3 58 359 361 362 363 368 368 21 Scale drawings and dimensions 21. 1 Scale drawings and maps 21. 2 Dimensions Chapter summary Chapter review questions 260 260 262 263 264 28 Formulae 28. 1 28. 2 28. 3 28. 4 Using an algebraic formula Writing an algebraic formula Changing the subject of a formula Expressions, identities, equations and formulae 28. Further changing the subject of a formula Chapter summary Chapter review questions 372 372 374 376 378 379 381 382 22 Two-dimensional shapes (2) 266 22. 1 Drawing shapes 22. 2 Circumference of a circle 22. 3 Area of a circle 22. 4 Circumferences and areas in terms of 22. 5 Arc length and sector area 22. You read "Xcvxcvsdfv" in category "Papers" 6 Segment area 22. 7 Units of area Chapter summary Chapter review questions 266 268 270 272 273 274 276 277 277 29 Pythagoras’ theorem and trigonometry (1) 29. 1 Pythagoras’ theorem 29. 2 Finding lengths 29. 3 Applying Pythagoras’ theorem 29. 4 Line segments and Pythagoras’ theorem 29. Trigonometry – introduction 29. 6 Finding lengths using trigonometry 29. 7 Finding angles using trigonometry 29. 8 Trigonometry problems Chapter summary Chapter review questions 384 384 385 388 390 392 393 396 398 401 401 23 Linear equations 23. 1 The balance method for solving equations 23. 2 Setting up equations 23. 3 Solving equations with fractional terms 23. 4 Simultaneous linear equations 23. 5 Setting up simultaneous linear equations Chapter summary Chapter review questions 280 280 284 287 289 292 293 294 24 Percentages 24. 1 Percentages M3 24. 2 Increases and decreases 24. Use of multipliers 24. 4 Reverse percentages Chapter summary Chapter review questions 296 296 299 306 309 311 312 30 Ratio and proportion 30. 1 Introduction to ratio 30. 2 Problems 30. 3 Sharing a quantity in a given ratio 30. 4 Direct proportion 30. 5 Inverse proportion Chapter summary Chapter review questions 405 405 408 409 411 413 415 415 25 Graphs (2) 25. 1 Real life graphs 25. 2 So lving simultaneous equations graphically 25. 3 The equation y mx c 25. 4 Further uses of y mx c Chapter summary Chapter review questions 314 314 319 321 324 328 329 31 Three-dimensional shapes (2) 418 1. 1 Planes of symmetry 31. 2 Plans and elevations 31. 3 Volume of three-dimensional shapes 31. 4 Surface area of three-dimensional shapes Chapter summary Chapter review questions 418 420 422 427 430 431 26 Transformations 26. 1 Introduction 26. 2 Translations 26. 3 Rotations 26. 4 Reflections 26. 5 Enlargements 26. 6 Centre of enlargement 26. 7 Combinations of transformations Chapter summary Chapter review questions 332 332 332 336 338 343 346 351 354 354 32 Graphs (2) 32. 1 32. 2 Graphs of quadratic functions Using graphs of quadratic functions to solve equations 32. Using graphs of quadratic and linear functions to solve quadratic equations Chapter summary Chapter review questions 433 433 436 439 442 442 iv CONTENTS 33 Further graphs and trial and improvement 33. 1 Graphs of cubic, reciprocal and exponential functions 33. 2 Trial and improvement Chapter summary Chapter review questions 445 445 449 453 453 40 Simultaneous linear and quadratic equations and loci 40. 1 40. 2 40. 3 Solving simultaneous equations Loci and equations Intersection of lines and circles – algebraic solutions Chapter summary Chapter review questions 30 530 532 536 538 538 34 Constructions, loci and congruence 34. 1 Constructions 34. 2 Loci 34. 3 Regions 34. 4 Drawing triangles 34. 5 Congruent triangles 34. 6 Proofs of standard constructions Chapter summary Chapter review questions 458 458 461 464 467 468 469 470 471 41 Similar shapes 540 540 544 547 550 552 554 555 41. 1 Similar triangles 41. 2 Similar polygons 41. 3 Areas of similar shapes 41. 4 Volumes of similar solids 41. 5 Lengths, areas and volumes of similar solids Chapter summary Chapter review questions 35 Bounds and surds 35. Lower bounds and upper bounds 35. 2 Surds Chapter summary Chapter review questions 474 474 476 4 78 479 42 Direct and inverse proportion 42. 1 Direct proportion 42. 2 Further direct proportion 42. 3 Inverse proportion 42. 4 Proportion and square roots Chapter summary Chapter review questions 559 559 561 563 566 568 568 36 Circle geometry 36. 1 Circle theorems Chapter summary Chapter review questions 481 481 487 488 37 Completing the square 37. 1 Completing the square Chapter summary Chapter review questions 491 491 494 494 43 Vectors 43. 1 43. 2 43. 3 43. 4 43. 5 43. Vectors and vector notation Equal vectors The magnitude of a vector Addition of vectors Parallel vectors Solving geometric problems in two dimensions Chapter summary Chapter review questions 571 571 573 574 575 578 583 587 587 38 Quadratic equations 38. 1 Introduction to solving quadratic equations 38. 2 Solving by factorisation 38. 3 Solving by completing the square 38. 4 Solving using the quadratic formula 38. 5 Solving equations with algebraic fractions 38. 6 Problems that involve quadratic equations Chapter sum mary Chapter review questions 496 496 496 498 499 501 502 505 505 44 Transformations of functions 4. 1 44. 2 44. 3 44. 4 44. 5 44. 6 Function notation Applying vertical translations Applying horizontal translations Applying reflections Applying stretches Transformations applied to the graphs of sin x and cos x Chapter summary Chapter review questions Index Licence 591 591 592 596 599 602 605 608 608 611 618 39 Pythagoras’ theorem and trigonometry (2) Problems in three dimensions Trigonometric ratios for any angle Area of a triangle The sine rule The cosine rule Solving problems using the sine rule, the cosine rule and 1 ab sin C 2 Chapter summary Chapter review questions 39. 1 39. 39. 3 39. 4 39. 5 39. 6 507 507 512 516 519 522 525 527 527 v Introduction Welcome to Edexcel GCSE Mathematics Modular Higher Student Book and ActiveBook. Written by Edexcel as an exact match to the new Edexcel GCSE Mathematics Higher Tier specification these materials give you more chances to succe ed in your examinations The ActiveBook The ActiveBook CD-ROM is found in the back of this book. It is a digital version of this Student Book, with links to additional resources and extra support. Using the ActiveBook you can: ? Find out what you need to know before you can tackle the unit ? See what vocabulary you will learn in the unit ? See what the learning objectives are for the unit ? Easily access and display answers to the questions in the exercise sections (these do not appear in the printed Student Book) ? Click on glossary words to see and hear their definitions ? Access a complete glossary for the whole book ? Practice exam questions and improve your exam technique with Exam Tutor model questions and answers. Each question that has an Exam Tutor icon beside it links to a worked solution with audio and visual annotation to guide you through it The Student Book Each chapter has a number of units to work through, with full explanations of each topic, numerous worked examples and plenty of exercises, followed by a chapter summary and chapter review questions. There are some Module 3 topics that may also be assessed in Modules 2 or 4. These are identified in the contents list with the symbol: M4 These topics are also also assessed in highlighted within the Module 4 chapters themselves, using this flag by the relevant unit headings: The text and worked examples in each unit have been written to explain clearly the ideas and techniques you need to work through the subsequent exercises. The questions in these exercises have all been written to progress from easy to more difficult. At the end of each chapter, there is a Chapter Summary which will help you remember all the key points and concepts you need to know from the chapter and tell you what you should be able to do for the exam. Following the Chapter Summary is a Chapter Review which comprises further questions. These are either past exam questions, or newly written exam-style questions – written by examiners for the new specifications. Like the questions in the exercise sections, these progress from easy to hard. In the exercise sections and Chapter Reviews Recommendation specification Pentium 3 500 Mhz processor 128MB RAM 8 speed CD-ROM 1GB free hard disc space 800 600 (or 1024 768) resolution screen at 16 bit colour sound card, speakers or headphones Windows 2000 or XP. This product has been designed for Windows 98, but will be unsupported in line with Microsoft’s Product Life-Cycle policy. Installation Insert the CD. If you have autorun enabled the program should start within a few seconds. Follow on-screen instructions. Should you experience difficulty, please locate and review the readme file on the CD.   vi by a question shows that you may use a calculator for this question or those that follow. by a question shows that you may NOT use a calculator for this question or those that follow. Technical support If after reviewing the readme you are unable to resolve your problem, contact customer support: ? telephone 0870 6073777 (between 8. 00 and 4. 00) ? email schools. cd-romhelpdesk@pearson. com ? web http://centraal. uk. knowledgebox. com/kbase/ How to cite Xcvxcvsdfv, Papers

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