What Is Absolute Value in Mathematics

The absolute value is always a positive number except for zero, as zero is neither positive or negative. Absolute value refers to the distance of a number from zero, regardless of direction. The distance is always positive, as absolute value of a number cannot be negative. Use this term to refer to the distance of a point or number from the origin (zero) of a number line. Examples The symbol to show the absolute value is two vertical lines: | -5 | 5. This means that the absolute value of -5 is 5 because -5 is five units away from zero. Put another way: |5| shows that the absolute value of 5 is 5.|-5| shows that the absolute value of -5 is 5 Sample Problems Find the absolute value for the following problem. |3x| 9 To solve this problem, divide each side by 3, yielding: x 3 The absolute value of 3 is either -3 or 3 because the number 3 or -3 is three spaces from zero. So, the answer is: (3, −3)Â   Or, try the following problem. |−3r| 9 To find the answer, divide each side by 3 to isolate the variable r, yielding: |−r| 3 As with the previous problem, r can be either 3 or -3 because three is three spaces or units from zero. So, the answer is: (−3, 3)

Education Planning a Lesson is a Riguros Process Essay

Effective lessons can be created through taking into account the various factors that can affect the learning of each individual child, and of the class as a whole. Planning a lesson is a rigorous process carried out by the teacher, where he or she analyses children and their level of capability, depending on the subject, in order to deliver lessons that can provide a valuable educational experience for all. When introducing a topic for the first time, the teacher must first elicit the children’s prior learning, and then build on their existing knowledge by using scaffolding, relating to Principle 4. Scaffolding â€Å"consists essentially of the adult ‘controlling’ those elements of the task that are initially beyond the learner’s capacity†Ã¢â‚¬ ¦show more content†¦They incorporated the features of non-fiction texts we had identified into their own writing without any difficulty. Graham (2001) argues that when children are given the opportunity to write in the company of other children, and as experts, they begin to write with enthusiasm and satisfaction. Children wrote as experts as they had studied astronauts over a period of time, the environment on Mars, and the qualities an astronaut would need to survive on this planet. Social constructivism was at the core of this lesson as children formed ideas and worked creatively and actively as a group ( Vygotsky 1978). In addition, using communication and social skills in a group learning context can equip learners for life, relating to Principle 1, as children have to become capable of expressing themselves through written and spoken language (James and Pollard 2008). Weaved into the aforementioned lesson, was the learning of grammar, specifically the use of fronted adverbials in biographical writing. Regarding national policy frameworks, there is ambiguity about the role of grammar in the curriculum, specifically due to the impact of learning grammar on children’s writing (Myhill et al. 2013). Myhill et al. (2013) argue that when relevant grammar is introduced at appropriate points in teaching writing, it has a positive effect on children’s work. In my practice, I taught grammar in the

Hamlet Ophelia Free Essays

Throughout the play of Hamlet, one constantly questions if Hamlet is actually in love with Aphelia. His intentions are difficult to determine: it often appears as though he is not in love with her at all, but is in fact repulsed by her. Hamlet even insists that Aphelia leave him, and everyone else in her life, in his immortal line, â€Å"Get thee to a nunnery’ (Ill. We will write a custom essay sample on Hamlet Ophelia or any similar topic only for you Order Now L. Pl 25), thus sending her away to lead a life of solitude. However, despite these statements from Hamlet, his other actions give way to the idea that Hamlet not only loves Aphelia, but also cares for her so deeply that he sees her as a liability. He treats her terribly and insists that she leave him in order to protect her from being hurt or killed by his enemies. It is here that we see that, indeed, Hamlet really does love Aphelia. The closest that Hamlet ever comes to stating his love is in Act Ill. Hamlet says to Aphelia, â€Å"l did love you† (Ill. L. Pl 25). However, he then goes on to tell her he does not love her. During this conversation, Hamlet believes someone may be eavesdropping on them. This is proven by Hamlet’s question, â€Å"Where’s your father? (Ill. L. IPPP). Aphelia states that he is at home. Hamlet replies with, â€Å"Let the doors be shut upon him that he may play the fool nowhere but in ‘s own house† (Ill. L. IPPP-44). This quote suggests that Polonium, Aphelion’s father, is eavesdropping on Hamlet and foreshadows that he may be planning something as a result. Hamlet would never want to give away his true intentions for Aphelia to one of his enemies, such as Polonium, and therefore lies to Aphelia about his intentions for her. His love for her is so deep that he is willing to make her believe that he does not love her in order to rote her. Another example of Hamlet admitting his love for Aphelia is in the letter that he sends her. Hamlet writes, â€Å"Never doubt I love. † (11. 11. IPPP). He tells her that among and between everything else around her, his love for her is real. This is the one time before Aphelion’s death that Hamlet reveals his true feelings. He feels he can do this in writing, as Hamlet believes only Aphelia will read the letter, as opposed to one of his enemies, such as Polonium. Hamlet knew he had to hide his love for Aphelia and act in a different manner to protect her. His plan backfires however when Aphelia chives the letter, as she gives it to her father. Not even in writing can Hamlet admit his true feelings for Aphelia without the information of his vulnerability slipping into the wrong hands. Throughout the play, Hamlet’s love for Aphelia is questioned. Hamlet acts as if he does not love Aphelia in order to trick everyone else into thinking that he does not care about her. Hamlet does not want Aphelia to become involved with him because if Claudia decides to get revenge on Hamlet, she would die. Hamlet shows his love for Aphelia when he confesses to her that he â€Å"loved† her, when he sends her the deter, and when he finds out that she has died. But many could argue that Hamlet never loved Aphelia – that he fell out of love with her or he never loved her in the first place but was simply driven insane by his father’s death and attempted to use her feelings for him to his advantage. Needless to say, there is concrete information pointing to Hamlet’s love being true. Hamlet simply was not able to state it bluntly in order to protect Aphelia. Rexes Manchester Mr.. Lowe Is Hamlet a misogynist? If so, what might be the pathology of this vile disorder? Throughout the play Hamlet accuses women of being adulterous, uncaring and soonest creatures. Hamlet’s misogynistic feelings towards women come from his mother, Gertrude, and, unfortunately, Aphelia becomes part of his thoughts as well. Hamlet’s mother is the cause for his suspicion towards women. Gertrude hasty, and incestuous, remarriage to Claudia, within a week of the kings death causes anguish, suffering and distress for Hamlet. This leads him to question the true heartiness of all women; â€Å"O most wicked speed, to post with such dexterity to incestuous sheets! It is not nor it cannot come to good, but break, my heart, for I must hold my tongue. (1. 11. Up 56-157) As the story goes on Gertrude becomes a cruel, adulterous and insupportable woman in Hamlet’s eyes. â€Å"Nay, but to live in the rank sweat of an misnamed bed, stew’s in corruption, honeying and making lovers the nasty In this climatic scene Hamlet finally shows an intense desire to save his mother’s soul by trying to convince her that she must repent for the marriage to Claudia. Hamlet attempts to teach Gertrude that celibacy becomes easier the more time goes on and the more one practices. As a consequence, it seems, the misogynist that is Hamlet egging to break down. Which is why Aphelia is so important with in the story, she becomes a victim of Hamlet’s anger that leads us to discover if he is truly a misogynist or not. It is Aphelia, the passive character in the relationship that has become the unlucky victim. Aphelia believed that Hamlet possessed real love for her, but so much to the point that he became â€Å"mad for her love. (2:2:84) She accepted his love letters and acknowledged his indications. However, Hamlet becomes so concerned with how vengeful women are to men, or that they are a considerable threat to myself, and that he cannot stop for a moment and realize the pain he is causing Aphelia because of it. In the end, classifying Hamlet as a misogynist does not suffice to the difficult and realistic character of Hamlet. For, as it turns o ut, the feelings of hatred towards women were only because of the moments that he was caring and concerned with Aphelia and his mother. Though it is irresolute that he would have ever trusted a woman again but at the end he does reveal his love for Gertrude and Aphelia. Does Claudia murder his brother for his throne or his wife? Claudia is Hamlet’s uncle, brother to king Hamlet. King Hamlet has been killed and a week after his death, Claudia became king and King Hamlet’s wife, Gertrude, remarries to Claudia. The murder of King Hamlet is much like what we see in the Bible. Cain commits the first murder by killing his brother Able while he is sleeping peacefully in a garden. Much like this murder, Claudia murders his brother by pouring poison in his ear while he is sleeping in his own garden. Throughout the story Claudia’ nerve is tested and finally he admits his â€Å"offense is rank and smells to heaven because it hath the primal eldest curse upon, a brother’s murder† (111. 11. 111). Claudia not only murdered King Hamlet for the throne but for his wife Gertrude as well. He always possessed the secondary role to his brother for quite sometime and because he was always second to King Hamlet, he became Jealous. The fact that King Hamlet was always busy in state affairs and fights could the reason for Gertrude loneliness, which brought her closer to Claudia. After the death of King Hamlet, support of Claudia gave Gertrude a way out to prevail over the situation and heartache. Weak moral strength in Gertrude made it simple for Claudia to convince her to marry him. After this it was simple for Claudia to have Gertrude become loyal to him, this also made him the father of Hamlet and brought his worries of revolt to a close as well as Hamlet’s royal right to become king. As Claudia took over the throne and married his brother’s wife, it also would make sense to say that he took over the throne so Hamlet would not be king. Also, Claudia had to ascend the throne nearly immediately since Denmark was on the brink of war with Norway. Finally, Claudia took the throne because if he had not, Hamlet would have become king and would have figured out that Claudia murdered is father and would have had him murdered anyways since that is the mandate of this story. Claudia married for two reasons. He wanted to solidify his image in the kingdom as king and he simply was in the dire need of romance. As the opportunity to do both of those came about he took advantage of it, but as he did that turned his newly owned kingdom into turmoil. Rexes Manchester The play opens in the dark. Two men a foot apart cannot see each other. A Ghost appears. Why has Shakespeare begun the play thus? What does it tell us about the nature of his audience? Shakespeare begins Hamlet in immediate suspense. There is no lighting and only two people on stage. The reason for this is to get the audience’s attention from the beginning, without a strong introduction of the play the audience will be bored and unhappy with the performance. The audience at the globe theatre is rather uncivilized. Throughout the play itself the audience is drinking, eating and standing. Everyone in the audience is mostly dirtying, smelly and not very intellectual. If the actors were not performing at their highest level, things would be thrown on stage, the audience would become irritated ND the situation would escalate very quickly to the point that there would be a riot. Shakespeare uses the tactic of introducing a ghost first because it conveys the overall setting of the play, which is suspense, mysteriousness, puzzlement and most of all, curiosity. Through this introduction there is no need for a narrator to come out on stage and say the play is beginning. Due to the mysteriousness the crowd becomes silent, as they are anxious to find out what the play is about. Without the beginning of the play starting as it does, there would be no way to have the audience cooperate for a long period of time. How to cite Hamlet Ophelia, Papers

Business Ethics Employment Discrimination free essay sample

EMPLOYMENT DISCRIMINATION Don A. Darden Jr. Employment Discrimination Professor Clay May 15, 2010 In 2004 a federal judge expanded a lawsuit filed by six California women to a class action against Americas single largest employer and the world’s largest retailer, Wal-Mart. Since then, the case has mushroomed to cover 1. 6 million women Wal-Mart workers, who were employed nationwide since 1988. This by far is the largest class action in U. S. history. The article looks at two important questions: How will liability be determined? And, What can other employers learn from this? Judge Martin Jenkins indicated that Wal-Mart had failed to dispute the plaintiffs evidence that women were paid less than men in every region and in most job categories; that the salary gap widens over time even for employees hired into the same jobs; that women take longer to reach management positions; and that the higher one looks in the organization, the lower the percentage of women. We will write a custom essay sample on Business Ethics Employment Discrimination or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Other facts cited by the plaintiffs allege that two-thirds of the companys 1. 2 million U. S. orkers are women, but only one-third of all managers and only 14 percent of store managers are women. As a comparison, on average, 60 per cent of the managers in general merchandise stores are women. But although these appear to be facts, none prove that there was ever any intentional, systematic bias. However, Judge Jenkins stated that they support an inference that Wal-Mart engages in discriminatory practices, and that in itself is major. Wal-Marts defense is that the inequalities between its male and female employees have nothing to do with unlawful discrimination. What’s interesting is that typically most companies would argue that women were not interested in or at least on some level not qualified for the higher paying jobs, and that appears to be the defenses Wal-Mart has indicated it will use. It’s obvious that these women felt and even experienced some form of discrimination while working at Wal-Mart. Interestingly enough, the same team of lawyers and experts who represented the plaintiffs in this case, represented other plaintiffs in a gender discrimination class action against Home Depot, which the company eventually settled for $104. million and an agreement to make significant changes in its treatment of female employees. Like Wal-Mart, Home Depot argued that women were uninterested in and in most cases unqualified for the higher paid jobs. Talk about a strategy. The Home Depot case never went to trial because many experts were ready to submit that prejudice was the real reason for the difference in pay and positions bet ween men and women. It would appear within these types of organizations there are features of the organizational culture that allow gender stereotypes to influence job assignments, training, or promotions. Some of the investigations conducted revealed an incentive and motivational system that failed to promote or reward bias-free decision-making. These investigations also showed the existence of gender-segregated job ladders or career paths. That’s why there is such a strong effort to develop similar evidence, much of it depending on sophisticated statistical analyses, to prove gender discrimination at Wal-Mart. Wal-Mart is not the only one experiencing problems with discrimination. Home Depot, Lucky Stores, Smith Barney, and a number of other prominent employers who have chosen to settle gender discrimination lawsuits will eventually settle; this according to the prediction of many knowledgeable observers. Wal-Mart is famous for its tough stance in discrimination cases, and it remains to be seen just how long it will litigate this one. Its even possible it could choose to go to trial, if it cant get the class action declaration reversed. I discovered that although both sides prepare their evidence as if there will be a trial, very few class action cases ever go to trial. There are some lessons for employers. The most reliable way for an employer to determine its vulnerability to a class action lawsuit is to gather for itself the same statistical data that plaintiffs would use. Disparities in opportunities and outcomes may be due to lawful factors, such as differences in education. But employers need to beware of making assumptions about these differences that are unsupported by objective evidence. Employee surveys are another tool for discovering the potential risk of a class action lawsuit. Survey questions such as those that follow (when correlated to data on the respondents gender, age, and ethnicity) may uncover areas of concern. These questions in these surveys are intended to be answered on a scale of 1 to 5, from strongly agree to strongly disagree. There are those who would say that women employees do not encounter any barriers to opportunity or advancement due to their gender. Others believe that African American employees who have the same qualifications and experience are just as likely to be promoted as employees of other ethnic groups. If self-analysis uncovers indefensible disparities in opportunities and outcomes for women or any other group based on immutable characteristics, the company would need to make substantial changes in its practices and perhaps its culture changes which some organizations prefer not to make, regardless of the liability risk. On the other hand, audits and surveys can provide reassurance that the employer is fulfilling its obligation to provide equal employment opportunities and, most likely, also getting a higher level of productivity and performance from all its employees. One of the greatest tools available to employers is the ability to train their employees on discrimination through online resources for organizations. There are so many available to employers. That’s because training reduces exposure, and discrimination is a sensitive and costly problem that is becoming all too common in many workplaces. By providing discrimination prevention training to employees and managers on a regular basis, and managers reduce their organization’s exposure to this costly problem and creates a safer workplace. References Myron Curry, President and CEO of BusinessTrainingMedia. com, Copyright -2004