Math word problems Essay Example for Free

Math word problems Essay In a right angled triangle, the square of the hypotenuse side of the triangle is equal to the sum of the opposite side and adjacent sides of the triangle (Eves, 1997). This is known as the Pythagoras triangle. There are various applications of Pythagoras theorem in day-to-day situation that involves right angled triangles. An example of the application of Pythagoras theorem involving right angle triangles in day-to-day situations is in the determination of the height of a window from the foot of the ground. It is quite difficult to accurately determine the height of a window from the foot of the ground, but with the application of Pythagoras theorem this makes it easier. Assuming, we have a rigid ladder that leans against a vertical house, touching the window whose height is to be determined. This forms a right angled triangle. The distance from the base of the ladder to the foot of the building represents the adjacent side of the triangle and the length of the ladder is the hypotenuse side of the triangle, the height of the window whose length is to be determined is the opposite side of the triangle. Let the length of the ladder be represented by h, the distance between the foot of the ladder and the foot of the building be represented by a, then the height of the window from the base of the building be represented by o. Each parameter represents the hypotenuse, adjacent and the opposite sides of the triangle. Mathematically, applying Pythagoras theorem, h2= o2 + a2 The length of the window is the opposite side of the triangle and is represented by o above. Therefore making o the subject of the formulae, We have o= v (h2 – a2). So given that we know the length of the ladder and the horizontal distance between the foot of the ladder and the foot of the building, then the height of the window can be calculated using the above formulae. The application of Pythagoras theorem in the determination of the height of a window further validates the authenticity of the theorem. Reference Eves, H. (1997). Foundations and Fundamental Concepts of Mathematics. New York: Dover Publications.

Sexuality at Different Life Stages Essay Example for Free

Sexuality at Different Life Stages Essay Anna, an adolescent girl, is very much in love with her boyfriend who is three years older than she. He is putting a lot of pressure on her to have sex. At the same time, she is anxious about her parents’ attitude towards her boyfriend. Her mother constantly warns her about dating an older boy and assumes that he intends to take advantage of her. Young Anna is experiencing new emotions along with new physical sensations triggered by hormones and the lives of her peers. There are several topics Anna needs to discuss in order to make the best decision without feeling uncomfortable or forced by her parents, her boyfriend, or even her therapist. Anna’s Age Anna needs to discuss the difference between what she is feeling now versus how she will feel as an adult, once the hormone levels have evened out. It is important for her to understand that what she thinks may be a long term, emotional, attachment, may end much sooner than she think and that making a decision based on these emotion may end up causing her emotional pain. By explaining to Anna that, if the love is as strong as she believes it to be, her relationship will last long enough for her to be able to make this decision without all of the physical, emotional, and peer pressure she may feel more comfortable in waiting to make such a major move with her boyfriend. Self Esteem Anna is feeling pressure from her boyfriends and may fear the relationship will end if she does not have sex with him. Anna and her therapist need to take time to discuss how she sees herself and how she feels others view her. With a higher self esteem, Anna may come to understand that she doesn’t have to give in to his pressure and, if the relationship does end, that she will have plenty of chances to find someone else who she will see as just as good, or better, than her current boyfriend. Raising her self esteem may also help her feel more confident in making decision that may go against what her peers are doing or trying to convince her to do. If she can feel strong in her decisions, there may be less of a chance of others changing her mind simply because â€Å"everyone else is doing it†. Sexual Realities Many adolescents may believe that engaging in sexual activities makes them more mature or helps them reach adulthood faster than others. Helping Anna understand the truth about what sex may or may not change about her body and personality could give her a better understanding about herself and her peers as she tries to make the difficult decisions that come with growing up. It may also help calm some fears that she may have about sexuality that she may have receive from listening to misinformed peers. Contraception and Sexually Transmitted Infections Whatever Anna decides, she needs to know how to protect herself from unwanted pregnancy and sexually transmitted infections. Since there are many myths on how to prevent pregnancy and STIs, she needs to know the truth so she can avoid potentially dangerous or negatively life altering situations. With this knowledge, Anna may decide to wait until she has more understanding or, at least, until she can feel sure that sex with her boyfriend is safe and they are both willing and able to take on the responsibilities of contraception, or of raising a child if they choose not to prevent pregnancy. Conclusion Whatever Anna decides, the best thing is that she makes an informed decision. With proper knowledge, she can prevent much of the emotional and physical pain that can come from a misinformed decision and possibly even decide to wait until her body, and her emotions are fully matured and she is truly ready to take on the responsibility of sexual activity. Her therapist needs to help her communicate openly about her fears, wants, and needs and show her what she needs to be happy and healthy through this stressful and confusing time in her life. Before and after Anna decides, she needs someone who is well informed to speak to openly about sex and the different feelings that come along with each activity.

What Is The Multiparty System Politics Essay

What Is The Multiparty System Politics Essay Multiparty system is a system where two or more political parties dominate voting process in almost all elections at every stage of government. This results in almost all elected offices being members of one of the two or more major political parties. In a multi party system, one party typically holds the majority of the sits in the parliament and mainly known as the majority party while the rest are minority parties (Sarma 2007, p.1). Germany is a federal republic based on a representative democracy. German politics for instance take place in the perspective of parliamentary representative perspective. The Chancellor heads the German government. The German republic has of late experience a lot of political instability and due to the existence of more than one political party. Initially, the German republic experienced a lot of political threats due to political issues. In 1919-1933 there was what it was termed as spartacist uprising. The movement had a lot of left wing political views. The group came up from the independent socialists movement after being subjected to a lot of frustrations in the government. Currently, the question is not dictatorship or democracy but the history has put the question and reads as; socialists democracy (Dalton 1981, p. 74) On 1 January 1919, the followers of the Spartacist movement came up in an attempted revolution. At first, the move was resisted by the movement leaders. The new government reacted quickly and in a brutal manner. The government ordered the army to terminate the revolution with the help of a paramilitary group made up of the former service men. The city of Berlin came back to normalcy in two weeks time. The two leaders of the movement were executed in cold blood while in police custody (Rupnik 2003, p.237). Great movement of workers answered the call to struggle. They had a favorite slogan dubbed Down, down, down (with the government) resounded once more. According to the eyewitness, he says that he had to cross the Brandenburg procession at the gate near Tiegarten and also in front of the main staff headquarters. Most of the marchers were well armed and many trucks equipped with machine guns stood at Siegessaule. The witness says he repeatedly asked to be allowed to pass since he had an urgent task. They obligingly allowed him to pass. If the crowds had determined and conscious leaders instead of just windbags, Berlin would have been in their hands that very same day at noon (Baker 1981, p.75) Roadblocks were raised and fighting started as the Freikorps tried to bring back order. Noske was immediately given dictatorial powers across Berlin through the swift action by the government. Noske immediately ordered for 30,000 Freikorps troops to enter Berlin. By March 9th, the councils soldiers and workers decided to terminate the strike. However, this did not placate Noske together with the Freikorps. In contradiction, Noske announced that any individual who bears weapons against the government troops will be shot on sight. By the time the fighting was over, some 2000-3000 workers had lost their lives and nearly 10,000 were seriously wounded. On the same month, the communists party was murdered in a police station while attempting to escape (Zielonka 2003, .p 200). These events give us the picture of how multi party system can lead to political instability in any country. Germany experience a lot of unrest during the First World War then it was also affected by political unrest in 1920s. At this stage, Germany was yet to experience more of political storms for decades (Mattox 2001, p. 35). Recently, in 2005, a general election was held and was highly competitive. The same elections led to the Left Party coming up as a force to the left of SPD (Schweitzer 1995, p 244). Concurrently, the country is going through an increasing level of trade union militancy. This trend gives the impression of a growing malaise inside the German society as a layer of youth and workers look for an alternative (Rachwald 2000, p. 40) The strike to demand for higher wages in the public sector and the coming up of a newly created Left Party in the Western part of the country have covered the larger portion of the political scene in the country of late (Jones 2005, p.11). Whereas the Chancellor Angela Merkel with her Grand Coalition of Christian Democrats (CDU) and Social Democrats (SPD) pride themselves on issues concerning economic growth as well as the reduction in the figures of un-employment with tens of millions of German working class citizens living in a different reality (Pedley 2000, p. 62). In contrary to some of the European countries, the German real wages have fallen drastically in the recent years. In various economic sectors without strong unions even the most absolute level of income has considerably reduced. The process of labor casualization is going on. Millions of working poor citizens cannot sustain themselves with the wages and have to look for or ask for more welfare benefits (Collier 2003, p.13). Hessen is the worst hit area of Germany by the political crisis. This state in the heart of the country with a population of six million inhabitants, the local Christian democrats had got overall majority seats with more than 48% of the votes cast in the year 2003. CDU used the position to come up with a neoliberal attack. This year, the January elections were highly competitive and it was a tough race between the CDU and SPD (Schofield 1998, p. 267). This is significant because the CDU in Hessen is known to be notorious for being especially reactionary and when it was only two weeks before the elections, they that they would not win. This led to the launching of a vicious and desperate racists and anti-communist operation, arguing that if the left were to be elected to legislature and possibly take in a regional government would gradually change Hessen into another Stalinist state in Germany (Roberts 2003, p 91). This reactionary propaganda failed to get the needed effect. It was followed by a huge liberal operation of posters with catchphrases such as freedom or socialism. However, it failed to win most of the two traditional bourgeois parties. On the other hand, the greens and SPD who had stated that they were intending to come up with a coalition in the region also failed to capture the majority seats between them and therefore had to rely only on six members of parliament elected on the Die Linke party to get the regional SPD leader (Siaroff 2009, p. 202). The Hessen case for instance, the need for Deutsche Telekom re-nationalization with compensation based on the proven need, was highly accepted by Die Linke conference during the last summer without any resistance at all (Fairclough 2002, p 123). All these events in Germany were dictated by the countrys political climate. The political climate in Germany has proven beyond any reasonable doubt that a multiparty state is likely to realize political turmoil because of the misunderstanding between the party leaders. Another country in Europe that experiences a lot of polital instability due to multiparty system is Ireland. These two countries have become the central focus in Europe due to the nature of their party organizations. Ireland is an independent democratic nation with a parliamentary system of government. The president is the head of state and mainly ceremonial. He is elected for a term that lasts seven years. The current president is called Mary McAleese, who is serving her second term after taking over the leadership from President Mary Robinson (Prager 2009, p. 133). So far, the Irish politics remain dominated by two main political parties that came up out of the countrys worst civil war in early 1920s. Those who resisted the 1921 agreement that separated the island (Boyce 1995, p.76) formed the Fianna party. Although the opponents of the treaty lost in the war, Fianna soon became the countrys biggest political party. The countrys second largest party is called Fine Gael. Other significant parties include the Greens, Sinn and Labor (Foley 1992, p. 20). The May 2007 general elections brought the countrys largest party Fianna and its leader Bertie back to leadership in a coalition government for un-expected five-year term. Members of the coalition who joined the leading party were the Green party as well as the progressive democrats (Boyland 1990, p. 30). In early 2008, the countrys president announced his intentions to resign as the president. On April the same year, a new party leader was elected and assumed office in May. All these events played a major role in shaping the Irish political landscape. However, in June 2009 Fianna suffered the biggest defeat through the European and local elections. Fine Gael, independent and Labor parties got healthy margins (Farrell 1978, p.29). In the referendum that was held on October the same year, the voters approved the Lisbon treaty and European Union 33% and 67 % respectively. The politics have however made the popularity of the current government to decline because of the poor economic performance (Penniman 1989, p.45). In Northern Ireland, the conflict comes out of the history of the British rule. The historical animosity between the Protestants and the Catholics with various armed political efforts to unite the country with other parts of the island. Republican and Nationalists groups were looking for a united country whereas the unionists and loyalists want the country to remain part of United Kingdom (Richard 1992, p.47). After many years in war by the Loyalists and the Republicans paramilitaries especially the provisional Republican Army of Ireland, the Irish and the British governments agreed fro a PIRA ceasefire in 1994, which was then followed by the famous U.S Good Friday treaty in 1998 (Cox 2006, p. 60). The GFA came up with a power sharing executive and assembly to serve as the local government of Northern Ireland. The countrys assembly had 108 elected. The main political parties in Northern Ireland are the Democratic Unions Party (DUP), Sinn Ulster Unionist Party (UUP), Fein and the Social Democratic and Labor Party (Stephen 2005, p.200).

Napoleon :: essays research papers

Napoleon Bonaparte’s natural character can best be exemplified of that being of a revolutionary and nationalist individual. The political, social, and economic reforms personify Napoleon Bonaparter’s natural characteristics as both a revolutionary and a nationalist. Napoleon Bonaparte’s characteristics as a revolutionary can be seen is his consolidation and institutionalization of many reforms of the French Revolution during his leadership of France. In addition, Napoleon’s nationalist attributes can be best expressed in his ambitions to strengthen the power of France and the waging of the many wars in Europe historically referred as the Napoleonic Wars. Napoleon Bonaparte’s revolutionary and nationalist attributes are characterized in his political reforms. At first Napoleon favored the republic established by the French Revolution and he supported the Jacobins. Soon after he joined Abbe Sieyes in a successful coup d’ etat to overthrow the Directory. In overthrowing the Directory, Napoleon issued the Constitution of the Year VIII. The new constitution was established universal male suffrage that suggested democratic principles, a complicated system of checks and balances that appealed to republican theory, and a Council of State the evoked memories of Louis XIV. The new constitution in fact established the rule of one man—the First Consul, Bonaparte. He was elected the First Consul, he was the first modern political figure to use the rhetoric of revolution and nationalism, to back it with military force, and to combine those elements into a mighty weapon of imperial expansion in the service of his own power and amb ition. He can also illustrate his characteristic as a revolutionary by establishing an empirical government in France. As First Consul, Napoleon issued a general amnesty and employed in his own service persons from all political factions. He was ruthless and efficient in suppressing opposition, he established a highly centralized administration in which prefects directly responsible to the central government in Paris managed all departments, and he also employed secret police. All of these political reforms characterized his revolutionary attributes due to the fact that he embodied reforms that changed the political structure of France; also these reform characterized his nationalist attributes in that these political reforms were for the good of the state of France.   Ã‚  Ã‚  Ã‚  Ã‚  The social reforms that Napoleon Bonaparte instituted distinguish his traits of an individual as a revolutionary and nationalist. Napoleon continued the policy, of the French Revolution, of abolishing all the social inequality that marked the Old Regime.

Healthier Living Practices Essay -- Health, Public Spaces, Walking Env

Research has made it clear that healthier living practices need to be implemented in our daily lives. Health concerns have raised awareness and motivation throughout the world in recent years. An interest in more physically interactive public areas and spaces has been a proposed idea to the matter. The Chicago’s World Fair became a catalyst of sorts to organized, active and functional landscaping. Funding is provided from both state and federal agencies but has recently been an area of less concern. Ignoring potential health benefits from public areas by not constructing them is perhaps worth the extra available budget to some but recent studies show that the populous needs the areas to live healthier lives. Nevertheless, the success of these outdoor areas has left many questioning why their local community or city does not have such a place. More specifically explained by Joachim P Sturmberg, Carmel M. Martin and Di O’Halloran’s Journal, Music in the Park, parks offer â€Å"universal access and equity to be shared by all who want to go there (409).† Public spaces like parks and plazas offer many features that make them positive investments. Lavish open green lawns are a key factor and are the most notable characteristic of a park today. â€Å"The possibility of being physically active is greater among those living in areas with a larger proportion of land dedicated to public parks (1420).† The quote from Eduardo J. Simoes’ article concerning physical activity in public parks suggest that simply having more available recreational areas will influence the public to be active. Setting aside land for public space is done at both state and federal levels but at times get wasted and not used to its upmost potential. An organization out of Fl... ...ivity promotion and parks and recreation, the role of public parks and recreation setting has been acknowledged only recently by public health professions.† An area that has been revolutionized within the last century and only has room to grow, innovate and change the lives of all. â€Å"Despite the increasing recognition of the growing role of parks and recreation, a number of questions remain unanswered about how park and recreation programs are central to physical activity promotion within communities. (1)† Regardless the fact that these public places are positively influencing our communities, children lives, and inevitably paving the way for a healthier tomorrow should be reason enough to support the construction and use of more public spaces. Healthier, happier people are the outcome of these areas, lets embrace these spaces and make an effort to keep them clean.

Music And Ednas Awakening :: essays research papers

In Kate Chopin’s The Awakening, the romantic and lyrical nature of Frederick Chopin’s Impromptu, as well as its originality, are the vehicle by means of which Edna realizes her love for Robert and her desire to be free and self-determined. Chopin’s Impromptu arouses "the very passions ... within [Edna’s] soul"(p.34). The harmony, fluidity, subtle rhythm and poetic beauty of the Romantic composer make Edna loose herself in the music that stirs her emotions. The art completes, for her, what nature cannot bring to a finish. The exquisite, looping, and often fiery melodies of the Impromptu make a cut in Edna’s mind through the conventional beliefs about people and society. Because she is not a musician, her listening is based on intuition, allowing for a direct apprehension of the music by the soul and leading to a confrontation with the reality itself — the reality of "solitude, of hope, of longing, ... of despair"(p.34). This is the beginning of Edna’s awakening, for such emotions, especially despair, are not an end but a beginning because they take away the excuses and guilts, those toward herself, from which she suffers. This revelation of previously hidden conflicts gives birth to dramatic emotions within Edna. It is so powerful that Edna wonders if she "shall ever be stirred again as...Reisz’s playing moved" her that night (p.38). For Edna, the times that Reisz plays are times when she "take[s] an impress of the abiding truth" and realizes her true desires(p.34). When Edna visits her, Reisz first improvises at the instrument and then plays the Impromptu which itself has original and adventurous themes. Through music Edna realizes the importance of being self-actualized and making choices. She again feels the same as that night when "new voices awoke in her"—when through music, the way to genuine freedom was revealed to her (p.84). However, having freedom comes with responsibility, which like giving birth to art, requires special skill. For Edna, the fantasies of freedom are transformed into reality wholly only in music and possibly the inability to acquire the skill to deal with her new emotions in life explains the dramatic conclusion to the journey and exploration of the passions that begin on the island.

Chapter 9 Grim Defeat

Professor Dumbledore sent all the Gryffindors back to the Great Hall, where they were joined ten minutes later by the students from Hufflepuff, Ravenclaw, and Slytherin, who all looked extremely confused. â€Å"The teachers and I need to conduct a thorough search of the castle,† Professor Dumbledore told them as Professors McGonagall and Flitwick closed all doors into the hall. â€Å"I'm afraid that, for your own safety, you will have to spend the night here. I want the prefects to stand guard over the entrances to the hall and I am leaving the Head Boy and Girl in charge. Any disturbance should be reported to me immediately,† he added to Percy, who was looking immensely proud and important. â€Å"Send word with one of the ghosts.† Professor Dumbledore paused, about to leave the hall, and said, â€Å"Oh, yes, you'll be needing†¦Ã¢â‚¬  One casual wave of his wand and the long tables flew to the edges of the hall and stood themselves against the walls; another wave, and the floor was covered with hundreds of squashy purple sleeping bags. â€Å"Sleep well,† said Professor Dumbledore, closing the door behind him. The hall immediately began to buzz excitedly; the Gryffindors were telling the rest of the school what had just happened. â€Å"Everyone into their sleeping bags!† shouted Percy. â€Å"Come on, now, no more talking! Lights out in ten minutes!† â€Å"C'mon,† Ron said to Harry and Hermione; they seized three sleeping bags and dragged them into a corner. â€Å"Do you think Black's still in the castle?† Hermione whispered anxiously. â€Å"Dumbledore obviously thinks he might be,† said Ron. â€Å"It's very lucky he picked tonight, you know,† said Hermione as they climbed fully dressed into their sleeping bags and propped themselves on their elbows to talk. â€Å"The one night we weren't in the tower†¦Ã¢â‚¬  â€Å"I reckon he's lost track of time, being on the run,† said Ron. â€Å"Didn't realize it was Halloween. Otherwise he'd have come bursting in here.† Hermione shuddered. All around them, people were asking one another the same question: â€Å"How did he get in?† â€Å"Maybe he knows how to Apparate,† said a Ravenclaw a few feet away, â€Å"Just appear out of thin air, you know.† â€Å"Disguised himself, probably,† said a Hufflepuff fifth year. â€Å"He could've flown in,† suggested Dean Thomas. â€Å"Honestly, am I the only person who's ever bothered to read Hogwarts, A History?† said Hermione crossly to Harry and Ron. â€Å"Probably,† said Ron. â€Å"Why?† â€Å"Because the castle's protected by more than walls, you know,† said Hermione. â€Å"There are all sorts of enchantments on it, to stop people entering by stealth. You can't just Apparate in here. And I'd like to see the disguise that could fool those Dementors. They're guarding every single entrance to the grounds. They'd have seen him fly in too. And Filch knows all the secret passages, they'll have them covered†¦Ã¢â‚¬  â€Å"The lights are going out now!† Percy shouted. â€Å"I want everyone in their sleeping bags and no more talking!† The candles all went out at once. The only light now came from the silvery ghosts, who were drifting about talking seriously to the prefects, and the enchanted ceiling, which, like the sky outside, was scattered with stars. What with that, and the whispering that still filled the hall, Harry felt as though he were sleeping outdoors in a light wind. Once every hour, a teacher would reappear in the Hall to check that everything was quiet. Around three in the morning, when many students had finally fallen asleep, Professor Dumbledore came in. Harry watched him looking around for Percy, who had been prowling between the sleeping bags, telling people off for talking. Percy was only a short way away from Harry, Ron, and Hermione, who quickly pretended to be asleep as Dumbledore's footsteps drew nearer. â€Å"Any sign of him, Professor?† asked Percy in a whisper. â€Å"No. All well here?† â€Å"Everything under control, sir.† â€Å"Good. There's no point moving them all now. I've found a temporary guardian for the Gryffindor portrait hole. You'll be able to move them back in tomorrow.† â€Å"And the Fat Lady, sir?† â€Å"Hiding in a map of Argyllshire on the second floor. Apparently she refused to let Black in without the password, so he attacked. She's still very distressed, but once she's calmed down, I'll have Mr Filch restore her.† Harry heard the door of the hall creak open again, and more footsteps. â€Å"Headmaster?† It was Snape. Harry kept quite still, listening hard. â€Å"The whole of the third floor has been searched. He's not there. And Filch has done the dungeons; nothing there either.† â€Å"What about the Astronomy tower? Professor Trelawney's room? The Owlery?† â€Å"All searched†¦Ã¢â‚¬  â€Å"Very well, Severus. I didn't really expect Black to linger.† â€Å"Have you any theory as to how he got in, Professor?† asked Snape. Harry raised his head very slightly off his arms to free his other ear. â€Å"Many, Severus, each of them as unlikely as the next.† Harry opened his eyes a fraction and squinted up to where they stood; Dumbledore's back was to him, but he could see Percy's face, rapt with attention, and Snape's profile, which looked angry. â€Å"You remember the conversation we had, Headmaster, just before — ah — the start of term?† said Snape, who was barely opening his lips, as though trying to block Percy out of the conversation. â€Å"I do, Severus,† said Dumbledore, and there was something like warning in his voice. â€Å"It seems — almost impossible — that Black could have entered the school without inside help. I did express my concerns when you appointed –â€Å" â€Å"I do not believe a single person inside this castle would have helped Black enter it,† said Dumbledore, and his tone made it so clear that the subject was closed that Snape didn't reply. â€Å"I must go down to the Dementors,† said Dumbledore. â€Å"I said I would inform them when our search was complete.† â€Å"Didn't they want to help, sir?† said Percy. â€Å"Oh yes,† said Dumbledore coldly. â€Å"But I'm afraid no Dementor will cross the threshold of this castle while I am Headmaster.† Percy looked slightly abashed. Dumbledore left the hall, walking quickly and quietly. Snape stood for a moment, watching the headmaster with an expression of deep resentment on his face; then he too left. Harry glanced sideways at Ron and Hermione. Both of them had their eyes open too, reflecting the starry ceiling. â€Å"What was all that about?† Ron mouthed. ******** The school talked of nothing but Sirius Black for the next few days. The theories about how he had entered the castle became wilder and wilder; Hannah Abbott, from Hufflepuff, spent much of their next Herbology class telling anyone who'd listen that Black could turn into a flowering shrub. The Fat Lady's ripped canvas had been taken off the wall and replaced with the portrait of Sir Cadogan and his fat gray pony. Nobody was very happy about this. Sir Cadogan spent half his time challenging people to duels, and the rest thinking up ridiculously complicated passwords, which he changed at least twice a day. â€Å"He's a complete lunatic,† said Seamus Finnigan angrily to Percy. â€Å"Can't we get anyone else?† â€Å"None of the other pictures wanted the job,† said Percy. â€Å"Frightened of what happened to the Fat Lady. Sir Cadogan was the only one brave enough to volunteer.† Sir Cadogan, however, was the least of Harry's worries. He was now being closely watched. Teachers found excuses to walk along corridors with him, and Percy Weasley (acting, Harry suspected, on his mother's orders) was tailing him everywhere like an extremely pompous guard dog. To cap it all, Professor McGonagall summoned Harry into her office, with such a somber expression on her face Harry thought someone must have died. â€Å"There's no point hiding it from you any longer, Potter,† she said in a very serious voice. â€Å"I know this will come as a shock to you, but Sirius Black –â€Å" â€Å"I know he's after me,† said Harry wearily. â€Å"I heard Ron's dad telling his mum. Mr. Weasley works for the Ministry of Magic.† Professor McGonagall seemed very taken aback. She stared at Harry for a moment or two, then said, â€Å"I see! Well, in that case, Potter, you'll understand why I don't think it's a good idea for you to be practicing Quidditch in the evenings. Out on the field with only your team members, it's very exposed, Potter –â€Å" â€Å"We've got our first match on Saturday!† said Harry, outraged. â€Å"I've got to train, Professor!† Professor McGonagall considered him intently. Harry knew she was deeply interested in the Gryffindor team's prospects; it had been she, after all, who'd suggested him as Seeker in the first Place. He waited, holding his breath. â€Å"Hmm†¦Ã¢â‚¬ Professor McGonagall stood up and stared out of the window at the Quidditch field, just visible through the rain. â€Å"Well†¦goodness knows, I'd like to see us win the Cup at last†¦but all the same, Potter†¦I'd be happier if a teacher were present. I'll ask Madam Hooch to oversee your training sessions.† ******** The weather worsened steadily as the first Quidditch match drew nearer. Undaunted, the Gryffindor team was training harder than ever under the eye of Madam Hooch. Then, at their final training session before Saturday's match, Oliver Wood gave his team some unwelcome news. â€Å"We're not playing Slytherin!† he told them, looking very angry. â€Å"Flint's just been to see me. We're playing Hufflepuff instead.† â€Å"Why?† chorused the rest of the team. â€Å"Flint's excuse is that their Seeker's arm's still injured,† said Wood, grinding his teeth furiously. â€Å"But it's obvious why they're doing it. Don't want to play in this weather. Think it'll damage their chances†¦Ã¢â‚¬  There had been strong winds and heavy rain all day, and as Wood spoke, they heard a distant rumble of thunder. â€Å"There's nothing wrong with Malfoy's arm!† said Harry furiously. â€Å"He's faking it!† â€Å"I know that, but we can't prove it,† said Wood bitterly, â€Å"And we've been practicing all those moves assuming we're playing Slytherin, and instead it's Hufflepuff, and their style's quite different. They've got a new Captain and Seeker, Cedric Diggory –â€Å" Angelina, Alicia, and Katie suddenly giggled. â€Å"What?† said Wood, frowning at this lighthearted behavior. â€Å"He's that tall, good-looking one, isn't he?† said Angelina. â€Å"Strong and silent,† said Katie, and they started to giggle again. â€Å"He's only silent because he's too thick to string two words together,† said Fred impatiently. â€Å"I don't know why you're worried, Oliver, Hufflepuff is a pushover. Last time we played them, Harry caught the Snitch in about five minutes, remember?† â€Å"We were playing in completely different conditions!† Wood shouted, his eyes bulging slightly. â€Å"Diggory's put a very strong side together! He's an excellent Seeker! I was afraid you'd take it like this! We mustn't relax! We must keep our focus! Slytherin is trying to wrong-foot us! We must win!† â€Å"Oliver, calm down!† said Fred, looking slightly alarmed. â€Å"We're taking Hufflepuff very seriously. Seriously.† ******** The day before the match, the winds reached howling point and the rain fell harder than ever. It was so dark inside the corridors and classrooms that extra torches and lanterns were lit. The Slytherin team was looking very smug indeed, and none more so than Malfoy. â€Å"Ah, if only my arm was feeling a bit better!† he sighed as the gale outside pounded the windows. Harry had no room in his head to worry about anything except the match tomorrow. Oliver Wood kept hurrying up to him between classes and giving him tips. The third time this happened, Wood talked for so long that Harry suddenly realized he was ten minutes late for Defense Against the Dark Arts, and set off at a run with Wood shouting after him, â€Å"Diggory's got a very fast swerve, Harry, so you might want to try looping him –â€Å" Harry skidded to a halt outside the Defense Against the Dark Arts classroom, pulled the door open, and dashed inside. â€Å"Sorry I'm late, Professor Lupin. I –â€Å" But it wasn't Professor Lupin who looked up at him from the teacher's desk; it was Snape. â€Å"This lesson began ten minutes ago, Potter, so I think we'll make it ten points from Gryffindor. Sit down.† But Harry didn't move. â€Å"Where's Professor Lupin?† he said. â€Å"He says he is feeling too ill to teach today,† said Snape with a twisted smile. â€Å"I believe I told you to sit down?† But Harry stayed where he was. â€Å"What's wrong with him?† Snape's black eyes glittered. â€Å"Nothing life-threatening,† he said, looking as though he wished it were. â€Å"Five more points from Gryffindor, and if I have to ask you to sit down again, it will be fifty.† Harry walked slowly to his seat and sat down. Snape looked around at the class. â€Å"As I was saying before Potter interrupted, Professor Lupin has not left any record of the topics you have covered so far –â€Å" â€Å"Please, sir, we've done Boggarts, Red Caps, Kappas, and Grindylows,† said Hermione quickly, â€Å"and we're just about to start –â€Å" â€Å"Be quiet,† said Snape coldly. â€Å"I did not ask for information. I was merely commenting on Professor Lupin's lack of organization.† â€Å"He's the best Defense Against the Dark Arts teacher we've ever had,† said Dean Thomas boldly, and there was a murmur of agreement from the rest of the class. Snape looked more menacing than ever. â€Å"You are easily satisfied. Lupin is hardly overtaxing you — I would expect first years to be able to deal with Red Caps and Grindylows. Today we shall discuss –â€Å" Harry watched him flick through the textbook, to the very back chapter, which he must know they hadn't covered. â€Å"– werewolves,† said Snape. â€Å"But, sir,† said Hermione, seemingly unable to restrain herself, â€Å"we're not supposed to do werewolves yet, we're due to start Hinkypunks –â€Å" â€Å"Miss Granger,† said Snape in a voice of deadly calm, â€Å"I was under the impression that I am teaching this lesson, not you. And I am telling you all to turn to page 394.† He glanced around again. â€Å"All of you! Now!† With many bitter sidelong looks and some sullen muttering, the class opened their books. â€Å"Which of you can tell me how we distinguish between the werewolf and the true wolf?† said Snape. Everyone sat in motionless silence; everyone except Hermione, whose hand, as it so often did, had shot straight into the air. â€Å"Anyone?† Snape said, ignoring Hermione. His twisted smile was back. â€Å"Are you telling me that Professor Lupin hasn't even taught you the basic distinction between –â€Å" â€Å"We told you,† said Parvati suddenly, â€Å"we haven't got as far as werewolves yet, we're still on –â€Å" â€Å"Silence!† snarled Snape. â€Å"Well, well, well, I never thought I'd meet a third-year class who wouldn't even recognize a werewolf when they saw one. I shall make a point of informing Professor Dumbledore how very behind you all are†¦Ã¢â‚¬  â€Å"Please, sir,† said Hermione, whose hand was still in the air, â€Å"the werewolf differs from the true wolf in several small ways. The snout of the werewolf –â€Å" â€Å"That is the second time you have spoken out of turn, Miss Granger,† said Snape coolly. â€Å"Five more points from Gryffindor for being an insufferable know-it-all.† Hermione went very red, put down her hand, and stared at the floor with her eyes full of tears. It was a mark of how much the class loathed Snape that they were all glaring at him, because every one of them had called Hermione a know-it-all at least once, and Ron, who told Hermione she was a know-it-all at least twice a week, said loudly, â€Å"You asked us a question and she knows the answer! Why ask if you don't want to be told?† The class knew instantly he'd gone too far. Snape advanced on Ron slowly, and the room held its breath. â€Å"Detention, Weasley,† Snape said silkily, his face very close to Ron's. â€Å"And if I ever hear you criticize the way I teach a class again, you will be very sorry indeed.† No one made a sound throughout the rest of the lesson. They sat and made notes on werewolves from the textbook, while Snape prowled up and down the rows of desks, examining the work they had been doing with Professor Lupin. â€Å"Very poorly explained†¦That is incorrect, the Kappa is more commonly found in Mongolia†¦Professor Lupin gave this eight out of ten? I wouldn't have given it three†¦Ã¢â‚¬  When the bell rang at last, Snape held them back. â€Å"You will each write an essay, to be handed in to me, on the ways you recognize and kill werewolves. I want two rolls of parchment on the subject, and I want them by Monday morning. It is time somebody took this class in hand. Weasley, stay behind, we need to arrange your detention.† Harry and Hermione left the room with the rest of the class, who waited until they were well out of earshot, then burst into a furious tirade about Snape. â€Å"Snape's never been like this with any of our other Defense Against the Dark Arts teachers, even if he did want the job,† Harry said to Hermione. â€Å"Why's he got it in for Lupin? D'you think this is all because of the Boggart?† â€Å"I don't know,† said Hermione pensively. â€Å"But I really hope Professor Lupin gets better soon†¦Ã¢â‚¬  Ron caught up with them five minutes later, in a towering rage. â€Å"D'you know what that –† (he called Snape something that made Hermione say â€Å"Ron!†) â€Å"– is making me do? I've got to scrub out the bedpans in the hospital wing. Without magic!† He was breathing deeply, his fists clenched. â€Å"Why couldn't Black have hidden in Snape's office, eh? He could have finished him off for us!† ****** Harry woke extremely early the next morning; so early that it was still dark. For a moment he thought the roaring of the wind had woken him. Then he felt a cold breeze on the back of his neck and sat bolt upright — Peeves the Poltergeist had been floating next to him, blowing hard in his ear. â€Å"What did you do that for?† said Harry furiously. Peeves puffed out his cheeks, blew hard, and zoomed backward out of the room, cackling. Harry fumbled for his alarm clock and looked at it. It was half past four. Cursing Peeves, he rolled over and tried to get back to sleep, but it was very difficult, now that he was awake, to ignore the sounds of the thunder rumbling overhead, the pounding of the wind against the castle walls, and the distant creaking of the trees in the Forbidden Forest. In a few hours he would be out on the Quidditch field, battling through that gale. Finally, he gave up any thought of more sleep, got up, dressed, picked up his Nimbus Two Thousand, and walked quietly out of the dormitory. As Harry opened the door, something brushed against his leg. He bent down just in time to grab Crookshanks by the end of his bushy tail and drag him outside. â€Å"You know, I reckon Ron was right about you,† Harry told Crookshanks suspiciously. â€Å"There are plenty of mice around this place — go and chase them. Go on,† he added, nudging Crookshanks down the spiral staircase with his foot. â€Å"Leave Scabbers alone.† The noise of the storm was even louder in the common room. Harry knew better than to think the match would be canceled; Quidditch matches weren't called off for trifles like thunderstorms. Nevertheless, he was starting to feel very apprehensive. Wood had pointed out Cedric Diggory to him in the corridor; Diggory was a fifth year and a lot bigger than Harry. Seekers were usually light and speedy, but Diggory's weight would be an advantage in this weather because he was less likely to be blown off course. Harry whiled away the hours until dawn in front of the fire, getting up every now and then to stop Crookshanks from sneaking up the boys' staircase again. At long last Harry thought it must be time for breakfast, so he headed through the portrait hole alone. â€Å"Stand and fight, you mangy cur!† yelled Sir Cadogan. â€Å"Oh, shut up,† Harry yawned. He revived a bit over a large bowl of porridge, and by the time he'd started on toast, the rest of the team had turned up. â€Å"It's going to be a tough one,† said Wood, who wasn't eating anything. â€Å"Stop worrying, Oliver,† said Alicia soothingly, â€Å"we don't mind a bit of rain.† But it was considerably more than a bit of rain. Such was the popularity of Quidditch that the whole school turned out to watch the match as usual, but they ran down the lawns toward the Quidditch field, heads bowed against the ferocious wind, umbrellas being whipped out of their hands as they went. just before he entered the locker room, Harry saw Malfoy, Crabbe, and Goyle, laughing and pointing at him from under an enormous umbrella on their way to the stadium. The team changed into their scarlet robes and waited for Wood's usual pre-match pep talk, but it didn't come. He tried to speak several times, made an odd gulping noise, then shook his head hopelessly and beckoned them to follow him. The wind was so strong that they staggered sideways as they walked out onto the field. If the crowd was cheering, they couldn't hear it over the fresh rolls of thunder. Rain was splattering over Harry's glasses. How on earth was he going to see the Snitch in this? The Hufflepuffs were approaching from the opposite side of the field, wearing canary-yellow robes. The Captains walked up to each other and shook hands; Diggory smiled at Wood but Wood now looked as though he had lockjaw and merely nodded. Harry saw Madam Hooch's mouth form the words, â€Å"Mount Your brooms.† He pulled his right foot out of the mud with a squelch and swung it over his Nimbus Two Thousand. Madam Hooch put her whistle to her lips and gave it a blast that sounded shrill and distant — they were off. Harry rose fast, but his Nimbus was swerving slightly with the wind. He held it as steady as he could and turned, squinting into the rain. Within five minutes Harry was soaked to his skin and frozen, hardly able to see his teammates, let alone the tiny Snitch. He flew backward and forward across the field past blurred red and yellow shapes, with no idea of what was happening in the rest of the game. He couldn't hear the commentary over the wind. The crowd was hidden beneath a sea of cloaks and battered umbrellas. Twice Harry came very close to being unseated by a Bludger; his vision was so clouded by the rain on his glasses he hadn't seen them coming. He lost track of time. It was getting harder and harder to hold his broom straight. The sky was getting darker, as though night had decided to come early. Twice Harry nearly hit another player, without knowing whether it was a teammate or opponent; everyone was now so wet, and the rain so thick, he could hardly tell them apart†¦ With the first flash of lightning came the sound of Madam Hooch's whistle; Harry could just see the outline of Wood through the thick rain, gesturing him to the ground. The whole team splashed down into the mud. â€Å"I called for time-out!† Wood roared at his team. â€Å"Come on, under here –â€Å" They huddled at the edge of the field under a large umbrella; Harry took off his glasses and wiped them hurriedly on his robes. â€Å"What's the score?† â€Å"We're fifty points up,† said Wood, â€Å"but unless we get the Snitch soon, we'll be playing into the night.† â€Å"I've got no chance with these on,† Harry said exasperatedly, waving his glasses. At that very moment, Hermione appeared at his shoulder; she was holding her cloak over her head and was, inexplicably, beaming. â€Å"I've had an idea, Harry! Give me your glasses, quick!† He handed them to her, and as the team watched in amazement, Hermione tapped them with her wand and said, â€Å"Impervius!† â€Å"There!† she said, handing them back to Harry. â€Å"They'll repel water!† Wood looked as though he could have kissed her. â€Å"Brilliant!† he called hoarsely after her as she disappeared into the crowd. â€Å"Okay, team, let's go for it!† Hermione's spell had done the trick. Harry was still numb with cold, still wetter than he'd ever been in his life, but he could see. Full of fresh determination, he urged his broom through the turbulent air, staring in every direction for the Snitch, avoiding a Bludger, ducking beneath Diggory, who was streaking in the opposite direction†¦ There was another clap of thunder, followed immediately by forked lightning. This was getting more and more dangerous. Harry needed to get the Snitch quickly — He turned, intending to head back toward the middle of the field, but at that moment, another flash of lightning illuminated the stands, and Harry saw something that distracted him completely, the silhouette of an enormous shaggy black dog, clearly imprinted against the sky, motionless in the topmost, empty row of seats. Harry's numb hands slipped on the broom handle and his Nimbus dropped a few feet. Shaking his sodden bangs out of his eyes, he squinted back into the stands. The dog had vanished. â€Å"Harry!† came Wood's anguished yell from the Gryffindor goal posts. â€Å"Harry, behind you!† Harry looked wildly around. Cedric Diggory was pelting up the field, and a tiny speck of gold was shimmering in the rain-filled air between them†¦ With a jolt of panic, Harry threw himself flat to the broom handle and zoomed toward the Snitch. â€Å"Come on!† he growled at his Nimbus as the rain whipped his face. â€Å"Faster!† But something odd was happening. An eerie silence was falling across the stadium. The wind, though as strong as ever, was forgetting to roar. It was as though someone had turned off the sound, as though Harry had gone suddenly deaf — what was going on? And then a horribly familiar wave of cold swept over him, inside him, just as he became aware of something moving on the field below†¦ Before he'd had time to think, Harry had taken his eyes off the Snitch and looked down. At least a hundred Dementors, their hidden faces pointing up at him, were standing beneath him. It was as though freezing water were rising in his chest, cutting at his insides. And then he heard it again†¦Someone was screaming, screaming inside his head†¦a woman†¦ â€Å"Not Harry, not Harry, please not Harry!† â€Å"Stand aside, you silly girl†¦stand aside, now†¦Ã¢â‚¬  â€Å"Not Harry, please no, take me, kill me instead –â€Å" Numbing, swirling white mist was filling Harry's brain†¦What was he doing? Why was he flying? He needed to help her†¦She was going to die†¦She was going to be murdered†¦ He was falling, falling through the icy mist. â€Å"Not Harry! Please†¦have mercy†¦have mercy†¦Ã¢â‚¬  A shrill voice was laughing, the woman was screaming, and Harry knew no more. â€Å"Lucky the ground was so soft.† â€Å"I thought he was dead for sure.† â€Å"But he didn't even break his glasses.† Harry could hear the voices whispering, but they made no sense whatsoever. He didn't have a clue where he was, or how he'd got there, or what he'd been doing before he got there. All he knew was that every inch of him was aching as though it had been beaten. â€Å"That was the scariest thing I've ever seen in my life.† Scariest†¦the scariest thing†¦hooded black figures†¦cold†¦screaming†¦ Harry's eyes snapped open. He was lying in the hospital wing. The Gryffindor Quidditch team, spattered with mud from head to foot, was gathered around his bed. Ron and Hermione were also there, looking as though they'd just climbed out of a swimming pool. â€Å"Harry!† said Fred, who looked extremely white underneath, the mud. â€Å"How're you feeling?† It was as though Harry's memory was on fast forward. The lightning†¦the Grim†¦the Snitch†¦and the Dementors†¦ â€Å"What happened?† he said, sitting up so suddenly they all gasped. â€Å"You fell off,† said Fred. â€Å"Must've been — what — fifty feet?† â€Å"We thought you'd died,† said Alicia, who was shaking. Hermione made a small, squeaky noise. Her eyes were extremely bloodshot. â€Å"But the match,† said Harry. â€Å"What happened? Are we doing a replay?† No one said anything. The horrible truth sank into Harry like a stone. â€Å"We didn't — lose?† â€Å"Diggory got the Snitch,† said George. â€Å"Just after you fell. He didn't realize what had happened. When he looked back and saw you on the ground, he tried to call it off. Wanted a rematch. But they won fair and square†¦even Wood admits it.† â€Å"Where is Wood?† said Harry, suddenly realizing he wasn't there. â€Å"Still in the showers,† said Fred. â€Å"We think he's trying to drown himself.† Harry put his face to his knees, his hands gripping his hair. Fred grabbed his shoulder and shook it roughly. â€Å"C'mon, Harry, you've never missed the Snitch before.† â€Å"There had to be one time you didn't get it,† said George. â€Å"It's not over yet,† said Fred. â€Å"We lost by a hundred points.† â€Å"Right? So if Hufflepuff loses to Ravenclaw and we beat Ravenclaw and Slytherin†¦Ã¢â‚¬  â€Å"Hufflepuff'll have to lose by at least two hundred points,† said George. â€Å"But if they beat Ravenclaw†¦Ã¢â‚¬  â€Å"No way, Ravenclaw is too good. But if Slytherin loses against Hufflepuff†¦Ã¢â‚¬  â€Å"It all depends on the points — a margin of a hundred either way –â€Å" Harry lay there, not saying a word. They had lost†¦for the first time ever, he had lost a Quidditch match. After ten minutes or so, Madam Pomfrey came over to tell the team to leave him in peace. â€Å"We'll come and see you later,† Fred told him. â€Å"Don't beat yourself up. Harry, you're still the best Seeker we've ever had.† The team trooped out, trailing mud behind them. Madam Pomfrey shut the door behind them, looking disapproving. Ron and Hermione moved nearer to Harry's bed. â€Å"Dumbledore was really angry,† Hermione said in a quaking voice. â€Å"I've never seen him like that before. He ran onto the field as you fell, waved his wand, and you sort of slowed down before you hit the ground. Then he whirled his wand at the Dementors. Shot silver stuff at them. They left the stadium right away†¦He was furious they'd come onto the grounds. We heard him –â€Å" â€Å"Then he magicked you onto a stretcher,† said Ron. â€Å"And walked up to school with you floating on it. Everyone thought you were†¦Ã¢â‚¬  His voice faded, but Harry hardly noticed. He was thinking about what the Dementors had done to him†¦about the screaming voice. He looked up and saw Ron and Hermione looking at him so anxiously that he quickly cast around for something matter-of-fact to say. â€Å"Did someone get my Nimbus?† Ron and Hermione looked quickly at each other. â€Å"Er –â€Å" â€Å"What?† said Harry, looking from one to the other. â€Å"Well†¦when you fell off, it got blown away,† said Hermione hesitantly. â€Å"And?† â€Å"And it hit — it hit — oh, Harry — it hit the Whomping Willow.† Harry's insides lurched. The Whomping Willow was a very violent tree that stood alone in the middle of the grounds. â€Å"And?† he said, dreading the answer. â€Å"Well, you know the Whomping Willow,† said Ron. â€Å"It — it doesn't like being hit.† â€Å"Professor Flitwick brought it back just before you came around,† said Hermione in a very small voice. Slowly, she reached down for a bag at her feet, turned it upside down, and tipped a dozen bits of splintered wood and twig onto the bed, the only remains of Harry's faithful, finally beaten broomstick.