
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.

Step 3 Analyzing article structureActivity 31. Teachers raise questions to guide students to analyze the chapter structure of this diary and think about how to describe the festival experience. (1)What should be included in the opening/body/closing paragraph(s)?(2)How did the writer arrange his/her ideas?(3)What kind of interesting details did the writer describe?(4)How did the writer describe his/her feelings/emotions during the event?2. Students read and compare the three sentence patterns in activity 2. Try to rewrite the first paragraph of the diary with these three sentence patterns. After that, students exchange corrections with their partners. Such as:●This was my first time spending three days experiencing the Naadam Festival in China’s Inner Mongolia Autonomous Region and it was an enjoyable and exciting experience. ●I'll never forget my experience at the Naadam Festival because it was my first time to watch the exciting Mongolian games of horse racing, wrestling, and archery so closely. ●I'll always remember my first experience at the Naadam Festival in China’s Inner Mongolia Autonomous Region because it was so amazing to spend three days witnessing a grand Mongolian ceremony. Step 4 Accumulation of statementsActivity 41. Ask the students to read the diary again. Look for sentences that express feelings and emotions, especially those with the -ing form and the past participle. Such as:● …h(huán)orse racing, wrestling, and archery, which are all so exciting to watch. ● some amazing performances● I was surprised to see…● I was a little worried about. . . ● feeling really tiredOther emotional statements:●I absolutely enjoyed the archery, too, but the horse races were my favourite part. ●I'm finally back home now, feeling really tired, but celebrating Naadam with my friend was totally worth it. ●He invited me back for the winter to stay in a traditional Mongolian tent and cat hot pot. I can’t wait!2. In addition to the use of the -ing form and the past participle, the teacher should guide the students in the appreciation of these statements, ask them to memorize them, and encourage them to use them reasonably in writing practice.

1. 表示時(shí)間。Hearing these stories, I’m skeptical about the place. = When I heard these stories. . . 2. 表示原因。Not knowing his address, I can’t send this book to him. = Because/Since/As I don’t know his address. . . 3. 表示結(jié)果。His father died, leaving him a lot of money. =. . . and left him a lot of money4. 表示條件。Going straight down the road, you will find the department store. = If you go straight down the road. . . 5. 表示讓步。Being tired, they went on working. =Although they were tired. . . 6. 表示行為方式、伴隨情況或補(bǔ)充說(shuō)明。He lay on the grass, staring at the sky for a long time. =. . . and stared at the sky for a long time注意:非謂語(yǔ)動(dòng)詞作狀語(yǔ)時(shí), 如所提供的動(dòng)詞不能和句子中的主語(yǔ)保持一致, 動(dòng)詞-ing形式必須有自己的邏輯主語(yǔ), 通常由名詞或代詞來(lái)?yè)?dān)任, 這就是獨(dú)立主格結(jié)構(gòu)。The last bus having gone, we had to walk home. (having gone的邏輯主語(yǔ)是the last bus, 而不是we)Weather permitting, the football match will be played on Friday. (permitting的邏輯主語(yǔ)是time, 而不是the football match)Step 7 Practice1. ________(study) hard, you are sure to get first prize. 2. People use plastic in their daily life, _______(leave) large amounts of waste. 3. ________(work) hard at your lessons, you are to succeed. 4. The old man, ____________(work) abroad for twenty years, is on the way back to his motherland. 5. ______________(finish) his homework, he was playing on the playground. Answers: 1. Studying 2. leaving 3. Working 4.having worked 5. Having finishedStep 8 HomeworkFinish the homework on Page 22.

1. 這個(gè)寓言是一個(gè)關(guān)于一位國(guó)王古寓言。 The fable is an old fable about a king.2.作者用這個(gè)故事讓讀者對(duì)于社區(qū)的問(wèn)題負(fù)有個(gè)人責(zé)任的必要印象深刻。The author used the story to impress upon readers with the need to take personal responsibility for problems in the community.3. 這個(gè)故事十分成功的實(shí)現(xiàn)了它的目的。The story was quite successful in achieving its purpose.Step 7 WritingPlease write a review of the story according the outline above.The fable is an old fable about a king who thought his people are lazy, so he put a large stone in the middle of the road and hides and waited to see if anyone will try to move it.The author used this story to impress upon readers with the need to take personal responsibility for problems in the community. The story was quite successful in achieving its purpose, and I liked it because it had a clear moral.However, while the moral of the story is clear, the actions of the king seemed pointless to me, because none of the characters in the story learnt anything. For this reason, I think there are better stories that can be used to impress upon people with the need for personal responsibility.Step 8 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer give a short description of the story ?2. Does the description include the most important details of the story ?3. Does the writer give his or her opinion about the character or their actions ?4. Is the review well-organised ? 5. Does the writer use the -ing form as the adverbial correctly in the writing ?6. Are there any grammar, spelling, or punctuation errors ?Step 9 HomeworkPut up your revised draft in the classroom or read it to your class.

Listening and Speaking introduces the topic of “talking about how to become an astronaut”. This period is aimed to inform students some details about the requirements of being an astronaut. Students can be motivated and inspired by the astronauts. Teachers ought to encourage students to learn from them and let them aim high and dream big.Listening and Talking introduces the theme of "talk about life in space". This part also informs students more details about life in space and can inspire students to be curious about this job. 1. Guide students to listen for numbers concerning dates, years and ages etc2. Cultivate students' ability to talk about how to become an astronaut and life in space ; 3. Instruct students to use functional sentences of the dialogue such as “ first of all, I am not sure, so what might be .. I guess.. I wonder…I am curious…)appropriately.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to become a qualified astronaut and describe the life in space.Part 1: Listening and SpeakingStep 1: Lead inPredictionThe teacher can ask students to predict what the listening text is about by looking at the pictures.About how to become an astronaut./the requirements of an astronautStep 2: Then, play the radio which is about an interview a. And after finishing listening for the first time, the students need to solve the following tasks.

The themes of this part are “Talk about how to become an astronaut” and “Talk about life in space”. As Neil Armstrong said “Mystery creates wonder and wonder is the basis of man’s desire to understand. Space is difficult for human to reach, therefore, humans are full of wonders about it. However, if wanting to achieve the dream of reaching the Moon, some of our human should work hard to be an astronaut at first. Part A(Talk about how to become an astronaut) is a radio interview in a radio studio, where the host asked the Chinese astronauts about his story how to become an astronaut. Yang Liwei told his dreamed to be an astronaut since childhood. Then he worked hard to get into college at 22. The next 10 years, he gradually became an experienced pilot. At the same time, to be an astronaut, he had to study hard English, science and astronomy and trained hard to keep in good physical and mental health and to practise using space equipment. Part B (Talk about life in space) is also an interview with the astronaut Brown, who is back on the earth. The host Max asked about his space life, such as his emotion about going back the earth, the eating, shower, brushing, hobbies and his work. Part A and Part B are interviews. So expressing curiosity about the guests’ past life is a communicative skill, which students should be guided to learn.1. Students can get detailed information about how Yang Liwei became an astronaut and Max’s space life.2. Students learn to proper listening strategy to get detailed information---listening for numbers and taking notes.3. Students can learn related sentences or phrases to express their curiosity like “ I wish to know...” “I’d love to know...”4. Students can learn more about the space and astronauts, even be interested in working hard to be an astronaut

Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.

Step 4: Listen again and decide if the following statements are true (T) or false (F).1 It was the first time Chen Liyan's story was reported. T口 F口2 Chen found 10,000 yuan in a small plastic bag in Taiyuan railway station口 F口3 Wang Zheng apologized to Chen because he couldn't offer her more money. T口 F口4 Chen took out a large loan to cure her daughter, T口 F口5 Wang set up a fundraising website for Chen's daughter after Chen told him about her situation. T口 F口Step 5:After listening, discuss the questions.1 What kind of person do you think Chen Liyan is?Chen Liyan is generous and honest because she returned a large sum of money to the owner.2 Did Chen return the money because she didn't need it?No. She returned the money because it was the right thing to do. Evidence for this is that she refused to accept the reward money because she felt that it had not been earned. 3 Is it common for people to do what Chen did?It depends on the culture. In some countries it is quite common to return money that has been found. In other countries, people believe "Finders are keepers!" 4 How did Wang Zheng feel about the return of his money?He must have been very happy and relieved to have gotten his money back. We know this because he thanked Chen repeatedly and even offered her a reward.5 Why did Ma Dongbao tell Wang about Chen's family?He must have had great sympathy for Chen and her daughter and wanted to help them.'We know this because he arranged help for them. 6 How did the news reporter feel about Chen's actions?The news reporter felt that it showed that money wasn't the most important thing in life. We know this because the reporter told us that this is what Chen believes. and then said, “that's a great attitude to take."

The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.

⑦在我看來(lái), 探索太空是值得的。As far as I am concerned, it is worthwhile to explore the space.Step 10 Writing---draftRecently, students in our class have had heated a discussion on whether space is worth exploring. Students hold different ideas about it.30% of us think space exploration is not worthwhile. They think space is too far away from us and our daily life and is a waste of money. And the money spent on space exploration can be used to solve the earth’s problems such as starvation and pollution.On the other hand,70% think space is worth exploring because we have benefited a lot from it,such as using satellites for communication and weather forecast. What’s more,with further space research,we may solve the population problem by moving to other planets one day. Also,space research will enable us to find new sources to solve the problem of energy shortages on the earth.As far as I am concerned, it is worthwhile to explore the space. Not only can it promote the development of society but also enrich our life. Step 11 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1.Does the writer explain why he/she changed/wanted to change?2.Does the writer tell how the changes have improved or will improve his/her life?3.Is the text well-organised?4.Does the writer use words and expressions to show similarities and differences?5.Are there any grammar or spelling errors?6.Does the writer use correct punctuation?

4. A:We’d like to have someone to say a word at the beginning to welcome the group.B:↙Who?A:We thought that you or Dr.Johnson might do it.B用降調(diào)說(shuō)Who,其意思是問(wèn),對(duì)方想讓誰(shuí)在開(kāi)場(chǎng)時(shí)致歡迎詞。Step 6 Pronunciation---Practice1. Listen to the short conversation and mark the intonation with ↗, ↙ or ↙, ↗. Then discuss with a partner what they intend to convey by using different intonation.Owner: You know what ?↗ It’s a million-pound bank note↙.Waiter 1: Really ?↗(question)Waiter 2: Really !↙(unbelievable and surprised)Waiter 3: Really ?!↙↗(first question then surprised)2. Listen to the conversations. Underline the parts that are stressed and mark the intonation. Then talk about the implied meanings of the responses with different intonations. Listen again and repeat.1) Henry: It’s a nice suit.Owner: Oh, it’s perfect!↙(The intonation means it is very suitable for Henry.)2) Henry: Well, that’s very kind of you.Owner: Kind, sir ?↗(what you said is not right) No, it’s kind of you. You must come whenever you want and have whatever you like. Just having you sit here is a great honour !!↙(welcome you to come again)3)Henry:Well, to be honest, I have none. Oliver:(happily) What luck!(excited) Brother↗, what luck!↙(It means “Didn’t you hear it?”)Henry: Well, it may seem lucky to you but not to me!↗(angry) If this is your idea of some kind of joke, I don’t think it’s very funny. Now if you’ll excuse me, I ought to be on my way.↙(If so, I would leave.)Roderick: Please don’t go↙...(hope Henry can wait for a moment)Part B Viewing and Talking---Describe people’s changing attitudes in a film clipStep 1 Before-listening---Tell the filmYou are going to watch part of the film The Million Pound Bank Note. Look at these photos and guess what happens in the film.

? Could you offer me some kind of work here?? I don’t want your charity, I just want an honest job.? Careless: I landed in Britain by accident.Step 7:Consolidation.? Find Henry? Roderick and Oliver were I .making a bet when they saw Henry, a poor young man. ? Know Henry? About a month ago, Henry was sailing and later he found himself carried out to sea by a strong wind. Fortunately, he 2.was spotted by a ship. And it was the ship that brought him to 3.England? Offer money to Henry ? Oliver and Roderick gave Henry a letter and told him that there was money in it. They 4.persuaded him to accept it, and made him 5.promise that it wouldn't be opened until 2 o'clock.Step 8:Language pointsa large amount of: a large quantity of; a great deal ofe.g. They bought a large amount of furniture before they moved their new house.make a bet: make an arrangement to risk money, etc. on an event of which the result is doubtful.e.g. We made a bet on the result of the match.permit sb to do something: allow somebody to do somethinge.g. My mother doesn’t permit me to ride in the street after it rained.by accident: as a result of chancee.g. I only found it by accident.stare at: look at somebody or something with the eyes wide open in a fixed gaze( in astonishment, wonder, fear, etc)to be honest: to tell you the truth; to be franke.g. To be honest, I don’t think we have a chance of winning.Step7 Homework:What do you think will happen to Henry? Will the bank-note help him or get him into trouble?

Everybody wants to get wealth.In today’s material world,making money or becoming wealthy symbolizes a person’s success and capability. Many people just make every effort, pay any price to attain greater wealth. With money,they can buy nice, large apartments in nice neighborhood. With money they can own luxurious cars. Wealth seems to bring all happiness in life.But is wealth the only road to happiness? Not really. There are many things in the world, which are beyond the means of money, such as friendship, love, health and knowledge. People are so preoccupied with struggling for money that they have no time or would not take the time to form or maintain friendship. What happiness can they feel living as lonely miserable creatures without love or friends in the world even if they accumulate tremendous wealth?In my opinion, people can’t do anything without money, but money is not everything. What money will bring you depends on your personal belief and goal in life. If you are kind enough to help others, especially the poor, money is a good thing to you. With it, you can do much more for the benefit of people and your country, and it will add to your own happiness. If you want money just for your own needs, you’ll never be satisfied or happy. In a word,you should have money spent for more people. Only then can money be the source of your happiness.Step 8 Homework4 students in a group, one acts Roderick, one Oliver, one servant and the fourth one acts Henry Adams, then listen to the tape, pay more attention to the difference between American English and British English in pronunciation, stress, tone.

【參考范文】Narrator:(Henry is smiling as he leaves the restaurant. As he is walking down the street, he sees a sign for a place that cuts hair. He decides to get it cut. )H=Henry;B=Barber;R=rude manH:Good afternoon, I'd like to get a cut, if I may. (The barber looks at Henry's hair and continues cutting another man's hair. )Er, I'd really like a haircut. As you can see it's much too long. B:(in a rude manner) Yes, I can see that. Indeed, I can. H:Fine, well I'll have a seat then. (He sits in one of the barber's chairs. The barber turns to look at Henry. )B:It's quite expensive here, you know!Are you sure you can afford it?H:Yes. I think so. (In comes the rude man. )R:Hey you there. I need a haircut quickly. Can you do me straightaway?B:All right, then, get in the chair and I'll see what I can do. R:Thank you. (sits down in one of the barber's chairs)H:Excuse me, but I was here first. Aren't you going to do my hair first?B:This man's in a hurry. H:Well so am I!I insist that you cut my hair first. B:OK, but I'll have to be quick. This gentleman is waiting. H:Thank you. (They both become quiet. After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B:Why, Mr . . . (looks shocked)H:Adams. Henry Adams. I'm sorry, I don't have any change. R:You're that Mr Adams! Well,I'm glad I waited or I might never have known it was you. B:Why, Mr Adams, please don't worry!(wearing a big smile) Nothing to worry about!Nothing at all!Please come back any time, even if you only need too little hairs cut!It will be my honour to serve you!

一、教學(xué)目標(biāo)(一)知識(shí)教育點(diǎn)使學(xué)生掌握拋物線(xiàn)的定義、拋物線(xiàn)的標(biāo)準(zhǔn)方程及其推導(dǎo)過(guò)程.(二)能力訓(xùn)練點(diǎn)要求學(xué)生進(jìn)一步熟練掌握解析幾何的基本思想方法,提高分析、對(duì)比、概括、轉(zhuǎn)化等方面的能力.(三)學(xué)科滲透點(diǎn)通過(guò)一個(gè)簡(jiǎn)單實(shí)驗(yàn)引入拋物線(xiàn)的定義,可以對(duì)學(xué)生進(jìn)行理論來(lái)源于實(shí)踐的辯證唯物主義思想教育.二、教材分析1.重點(diǎn):拋物線(xiàn)的定義和標(biāo)準(zhǔn)方程.2.難點(diǎn):拋物線(xiàn)的標(biāo)準(zhǔn)方程的推導(dǎo).三、活動(dòng)設(shè)計(jì)提問(wèn)、回顧、實(shí)驗(yàn)、講解、板演、歸納表格.四、教學(xué)過(guò)程(一)導(dǎo)出課題我們已學(xué)習(xí)了圓、橢圓、雙曲線(xiàn)三種圓錐曲線(xiàn).今天我們將學(xué)習(xí)第四種圓錐曲線(xiàn)——拋物線(xiàn),以及它的定義和標(biāo)準(zhǔn)方程.課題是“拋物線(xiàn)及其標(biāo)準(zhǔn)方程”.首先,利用籃球和排球的運(yùn)動(dòng)軌跡給出拋物線(xiàn)的實(shí)際意義,再利用太陽(yáng)灶和拋物線(xiàn)型的橋說(shuō)明拋物線(xiàn)的實(shí)際用途。

教 學(xué) 過(guò) 程教師 行為學(xué)生 行為教學(xué) 意圖時(shí)間 *揭示課題 8.4 圓(二) *創(chuàng)設(shè)情境 興趣導(dǎo)入 【知識(shí)回顧】 我們知道,平面內(nèi)直線(xiàn)與圓的位置關(guān)系有三種(如圖8-21): (1)相離:無(wú)交點(diǎn); (2)相切:僅有一個(gè)交點(diǎn); (3)相交:有兩個(gè)交點(diǎn). 并且知道,直線(xiàn)與圓的位置關(guān)系,可以由圓心到直線(xiàn)的距離d與半徑r的關(guān)系來(lái)判別(如圖8-22): (1):直線(xiàn)與圓相離; (2):直線(xiàn)與圓相切; (3):直線(xiàn)與圓相交. 介紹 講解 說(shuō)明 質(zhì)疑 引導(dǎo) 分析 了解 思考 思考 帶領(lǐng) 學(xué)生 分析 啟發(fā) 學(xué)生思考 0 15*動(dòng)腦思考 探索新知 【新知識(shí)】 設(shè)圓的標(biāo)準(zhǔn)方程為 , 則圓心C(a,b)到直線(xiàn)的距離為 . 比較d與r的大小,就可以判斷直線(xiàn)與圓的位置關(guān)系. 講解 說(shuō)明 引領(lǐng) 分析 思考 理解 帶領(lǐng) 學(xué)生 分析 30*鞏固知識(shí) 典型例題 【知識(shí)鞏固】 例6 判斷下列各直線(xiàn)與圓的位置關(guān)系: ⑴直線(xiàn), 圓; ⑵直線(xiàn),圓. 解?、?由方程知,圓C的半徑,圓心為. 圓心C到直線(xiàn)的距離為 , 由于,故直線(xiàn)與圓相交. ⑵ 將方程化成圓的標(biāo)準(zhǔn)方程,得 . 因此,圓心為,半徑.圓心C到直線(xiàn)的距離為 , 即由于,所以直線(xiàn)與圓相交. 【想一想】 你是否可以找到判斷直線(xiàn)與圓的位置關(guān)系的其他方法? *例7 過(guò)點(diǎn)作圓的切線(xiàn),試求切線(xiàn)方程. 分析 求切線(xiàn)方程的關(guān)鍵是求出切線(xiàn)的斜率.可以利用原點(diǎn)到切線(xiàn)的距離等于半徑的條件來(lái)確定. 解 設(shè)所求切線(xiàn)的斜率為,則切線(xiàn)方程為 , 即 . 圓的標(biāo)準(zhǔn)方程為 , 所以圓心,半徑. 圖8-23 圓心到切線(xiàn)的距離為 , 由于圓心到切線(xiàn)的距離與半徑相等,所以 , 解得 . 故所求切線(xiàn)方程(如圖8-23)為 , 即 或. 說(shuō)明 例題7中所使用的方法是待定系數(shù)法,在利用代數(shù)方法研究幾何問(wèn)題中有著廣泛的應(yīng)用. 【想一想】 能否利用“切線(xiàn)垂直于過(guò)切點(diǎn)的半徑”的幾何性質(zhì)求出切線(xiàn)方程? 說(shuō)明 強(qiáng)調(diào) 引領(lǐng) 講解 說(shuō)明 引領(lǐng) 講解 說(shuō)明 觀察 思考 主動(dòng) 求解 思考 主動(dòng) 求解 通過(guò)例題進(jìn)一步領(lǐng)會(huì) 注意 觀察 學(xué)生 是否 理解 知識(shí) 點(diǎn) 50

教學(xué)準(zhǔn)備 1. 教學(xué)目標(biāo) 知識(shí)與技能掌握雙曲線(xiàn)的定義,掌握雙曲線(xiàn)的四種標(biāo)準(zhǔn)方程形式及其對(duì)應(yīng)的焦點(diǎn)、準(zhǔn)線(xiàn).過(guò)程與方法掌握對(duì)雙曲線(xiàn)標(biāo)準(zhǔn)方程的推導(dǎo),進(jìn)一步理解求曲線(xiàn)方程的方法——坐標(biāo)法.通過(guò)本節(jié)課的學(xué)習(xí),提高學(xué)生觀察、類(lèi)比、分析和概括的能力.情感、態(tài)度與價(jià)值觀通過(guò)本節(jié)的學(xué)習(xí),體驗(yàn)研究解析幾何的基本思想,感受圓錐曲線(xiàn)在刻畫(huà)現(xiàn)實(shí)和解決實(shí)際問(wèn)題中的作用,進(jìn)一步體會(huì)數(shù)形結(jié)合的思想.2. 教學(xué)重點(diǎn)/難點(diǎn) 教學(xué)重點(diǎn)雙曲線(xiàn)的定義及焦點(diǎn)及雙曲線(xiàn)標(biāo)準(zhǔn)方程.教學(xué)難點(diǎn)在推導(dǎo)雙曲線(xiàn)標(biāo)準(zhǔn)方程的過(guò)程中,如何選擇適當(dāng)?shù)淖鴺?biāo)系. 3. 教學(xué)用具 多媒體4. 標(biāo)簽

本人所教的兩個(gè)班級(jí)學(xué)生普遍存在著數(shù)學(xué)科基礎(chǔ)知識(shí)較為薄弱,計(jì)算能力較差,綜合能力不強(qiáng),對(duì)數(shù)學(xué)學(xué)習(xí)有一定的困難。在課堂上的主體作用的體現(xiàn)不是太充分,但是他們能意識(shí)到自己的不足,對(duì)數(shù)學(xué)課的學(xué)習(xí)興趣高,積極性強(qiáng)。 學(xué)生在學(xué)習(xí)交往上表現(xiàn)為個(gè)別化學(xué)習(xí),課堂上較為依賴(lài)?yán)蠋煹囊龑?dǎo)。學(xué)生的群體性小組交流能力與協(xié)同討論學(xué)習(xí)的能力不強(qiáng),對(duì)學(xué)習(xí)資源和知識(shí)信息的獲取、加工、處理和綜合的能力較低。在教學(xué)中盡量分析細(xì)致,減少跨度較大的環(huán)節(jié),對(duì)重要的推導(dǎo)過(guò)程采用板書(shū)方式逐步進(jìn)行,力求讓絕大多數(shù)學(xué)生接受。 1.理解橢圓標(biāo)準(zhǔn)方程的推導(dǎo);掌握橢圓的標(biāo)準(zhǔn)方程;會(huì)根據(jù)條件求橢圓的標(biāo)準(zhǔn)方程,會(huì)根據(jù)橢圓的標(biāo)準(zhǔn)方程求焦點(diǎn)坐標(biāo). 2.通過(guò)橢圓圖形的研究和標(biāo)準(zhǔn)方程的討論,使學(xué)生掌握橢圓的幾何性質(zhì),能正確地畫(huà)出橢圓的圖形,并了解橢圓的一些實(shí)際應(yīng)用。 1.讓學(xué)生經(jīng)歷橢圓標(biāo)準(zhǔn)方程的推導(dǎo)過(guò)程,進(jìn)一步掌握求曲線(xiàn)方程的一般方法,體會(huì)數(shù)形結(jié)合等數(shù)學(xué)思想;培養(yǎng)學(xué)生運(yùn)用類(lèi)比、聯(lián)想等方法提出問(wèn)題. 2.培養(yǎng)學(xué)生運(yùn)用數(shù)形結(jié)合的思想,進(jìn)一步掌握利用方程研究曲線(xiàn)的基本方法,通過(guò)與橢圓幾何性質(zhì)的對(duì)比來(lái)提高學(xué)生聯(lián)想、類(lèi)比、歸納的能力,解決一些實(shí)際問(wèn)題。 1.通過(guò)具體的情境感知研究橢圓標(biāo)準(zhǔn)方程的必要性和實(shí)際意義;體會(huì)數(shù)學(xué)的對(duì)稱(chēng)美、簡(jiǎn)潔美,培養(yǎng)學(xué)生的審美情趣,形成學(xué)習(xí)數(shù)學(xué)知識(shí)的積極態(tài)度. 2.進(jìn)一步理解并掌握代數(shù)知識(shí)在解析幾何運(yùn)算中的作用,提高解方程組和計(jì)算能力,通過(guò)“數(shù)”研究“形”,說(shuō)明“數(shù)”與“形”存在矛盾的統(tǒng)一體中,通過(guò)“數(shù)”的變化研究“形”的本質(zhì)。幫助學(xué)生建立勇于探索創(chuàng)新的精神和克服困難的信心。

3)乘除運(yùn)算①有理數(shù)的乘法法則:(老師給出,學(xué)生一起朗讀)1. 兩數(shù)相乘,同號(hào)得正,異號(hào)得負(fù),并把絕對(duì)值相乘;2. 任何數(shù)與零相乘都得零;3. 幾個(gè)不等于零的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定,當(dāng)負(fù)因數(shù)有奇數(shù)個(gè)數(shù),積為負(fù);當(dāng)負(fù)因數(shù)的個(gè)數(shù)為偶數(shù)個(gè)時(shí),積為正;4. 幾個(gè)有理數(shù)相乘,若其中有一個(gè)為零,積就為零。②有理數(shù)的除法法則:(老師提問(wèn),學(xué)生回答)1. 兩個(gè)有理數(shù)相除,同號(hào)得正,異號(hào)得負(fù),并把絕對(duì)值相除;2. 除以一個(gè)數(shù)等于乘以這個(gè)數(shù)的倒數(shù)。③關(guān)系(老師給出)除法轉(zhuǎn)化為乘法進(jìn)行運(yùn)算。

一、課前準(zhǔn)備師:同學(xué)們想一想,你同父母一起去商店買(mǎi)衣服時(shí),衣服上的號(hào)碼都有哪些,標(biāo)志是什么?學(xué)生:我看到有些衣服上標(biāo)有M、S、L、XL、XXL等號(hào)碼.但我不清楚代表的具體范圍,適合什么人穿,但肯定與身高、胖瘦有關(guān).師:這位同學(xué)很善動(dòng)腦,也愛(ài)觀察.S代表最小號(hào),身高在150~155cm的人適合穿S號(hào).M號(hào)適合身高在155~160cm的人著裝……廠家做衣服訂尺寸也并不是按所有人的尺寸定做,而是按某個(gè)范圍分組批量生產(chǎn).你覺(jué)得這種生產(chǎn)方法有什么優(yōu)點(diǎn)?學(xué)校要為同學(xué)們訂制校服,為此小明調(diào)查了他們班50名同學(xué)的身高,結(jié)果(單位cm).如下
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