方法總結(jié):本題結(jié)合三角形內(nèi)角和定理考查反證法,解此題關鍵要懂得反證法的意義及步驟.反證法的步驟是:(1)假設結(jié)論不成立;(2)從假設出發(fā)推出矛盾;(3)假設不成立,則結(jié)論成立.在假設結(jié)論不成立時要注意考慮結(jié)論的反面所有可能的情況.如果只有一種,那么否定一種就可以了,如果有多種情況,則必須一一否定.三、板書設計1.等腰三角形的判定定理:有兩個角相等的三角形是等腰三角形(等角對等邊).2.反證法(1)假設結(jié)論不成立;(2)從假設出發(fā)推出矛盾;(3)假設不成立,則結(jié)論成立.解決幾何證明題時,應結(jié)合圖形,聯(lián)想我們已學過的定義、公理、定理等知識,尋找結(jié)論成立所需要的條件.要特別注意的是,不要遺漏題目中的已知條件.解題時學會分析,可以采用執(zhí)果索因(從結(jié)論出發(fā),探尋結(jié)論成立所需的條件)的方法.
師:同學們,在四年級的時候,我們已經(jīng)了解了圖形的密鋪,請你說一說,什么是圖形的密鋪?(沒有重疊、沒有空隙地鋪在平面上,就是密鋪。)師:圖形的密鋪又可以叫做鑲嵌,以上四個圖片,都是由哪些基本圖形密鋪(鑲嵌)而成的呢?(請學生邊指邊說。)師:還有哪些圖形也可以鑲嵌?(學生可能回答:三角形,平行四邊形,梯形,菱形,正六邊形,……)師:今天就請你發(fā)揮一下想象力,設計一些與眾不同的鑲嵌圖形。[設計意圖說明:學生在四年級已經(jīng)初步了解了圖形的密鋪(鑲嵌)現(xiàn)象,四幅圖片是四年級下冊教材《三角形》單元中《密鋪》內(nèi)容中的原圖。本單元在此基礎上,通過數(shù)學游戲拓展鑲嵌圖形的范圍,讓學生用圖形變換設計鑲嵌圖案,進一步感受圖形變換帶來的美感以及在生活中的應用。]二、新授探究一:利用平移變換設計鑲嵌圖形
教學要求1. 通過生活中的事例,學會解決“找次品”這類問題的思想方法。2. 體會解決問題策略的多樣性及運用優(yōu)化的方法解決問題的有效性。3. 感受到數(shù)學在日常生活中的廣泛應用,培養(yǎng)應用意識和解決實際問題的能力。學情分析有化是一種重要的數(shù)學思想方法,可有效地分析和解決問題。本單元主要以“找次品”這一操作活動為載體,讓學生通過觀察、猜測、推理的方法感受解決問題策略的多樣性,在此基礎上,通過歸納、推理的方法體會運用優(yōu)化策略解決問題的有效性,感受數(shù)學的魅力。這些內(nèi)容對五年級的學生來說有一定的難度,所以應讓學生在具體操作和試驗中感悟、體會,由此使學生養(yǎng)成勤于思考、勇于探索的精神。教學重點學會解決“找次品”這類問題的方法。
Teaching Goal:1. General aims:Talk about recent past events2. Particular aims:A. Language Focus.Talk about recent past events and think of the past events.B. Language goalsHow was….?It was …What did …do over the weekend?C. Language structures:(1). How was your weekend? I was great. Pay attention to no form.(2). What did you do over the weekend? I played soccer. We went to the beach.D. Useful words and phrases:Words: was, did, went, beach, over, project, test, wasn’t, false, number, geography, spend, week, most, mixture, their, had, little, cook, read, saw, change, everyone, sit, sat, no, anythingPhrases: did one’s homework, played soccer, cleaned my room, went to the beach, played tennis, went to the movies, on Saturday morning, over the weekend, cook … for, what about, do some reading, have a party, talk show, go shoppingE. Grammar language:Present simple past tenseRegular and irregular verbsF. Learning strategies:Tour and holidaysG. Interdiscipinary:H. Emotion and manner:Teaching time: 5 periodsTeaching procedures:Period One教學步驟、時間 教師活動 學生活動 媒體應用Step 1Free talk 3’ Ask some questions like:Who’s on duty today?What’s the weather like? Answer and talk about something.讓同學們回答下列問題1. Do you like weekend? (Let some students answer)It takes them three minutes to talk about the question.2. Why do you like weekend? (let the students answer) Most of the students like the weekend此時教師用漢語問:“在周末期間問你干了什么?這句話用英語這么回答?Let the students guess.At last the teacher give them right answer3. What did you do over the weekend?(板書、學習)
說明:在幫Li Lei提建議的同時,教育學生如何學好英語。第三課時教學目標1. 語言目標:a) 詞匯: Original, in style, haircut, the same as.b) 語言結(jié)構(gòu):My friend wears the same clothes and has the same haircut as I do.2. 能力目標:大多數(shù)學生能夠談論自己喜歡哪種服裝,提高查找信息的能力。3. 情感目標:學會如何與朋友相處,要有自己對時尚的看法。教學重點掌握一些重要詞匯。教學難點學會談論問題,并能提出書面建議。◆教學突破首先針對Erin的問題,提出個人的建議,模仿2c部分的對話展開雙人交際Pair-work;聽老師誦讀3a部分的信件,并找出LEFT OUT的問題所在;學生完成3b部分的內(nèi)容,給Left Out提出書面的建議;學以口頭形式提出自己目前存在的某個問題,講給大家聽,讓同學們給自己提出一個建議,并作筆錄;學生兩、三個人分成一組,隨意性地進行口語交際,談論P14的第4部分的某個問題,相互交換意見。
所需要用到的句子:Who is that?That is Jack. I like him.Why do you like him?I like him because he is interesting.Task 4: 設計理想中的人類Step one: 設計理想中的人類的外貌。把全班同學分成若干小組,學生可以邊說邊在紙上畫出他們的模樣。Step two: 設計理想中人類的性格。學生們可以把那些能描述性格的單詞寫在圖畫的旁邊。Step three: 每組選出一名同學,其他同組同學提問,他作簡單回答,并說明原因。所需用到的句子:What does he or she look like?He or she ...What is he or she like?He or she is ...Why?Because ...Task 5: 挑戰(zhàn)性活動調(diào)查性格是天生的還是后天形成的,讓每個同學回家去調(diào)查一下自己成長過程中性格是否有變化,具體是怎樣的,為什么會這樣? Teaching Aims:1. Enable students to have a general understanding of how to talk about people's physical appearance.2. Enable students to tackle some essential vocabularies and patterns about describing people. Provide them with necessary skills and methods.3. Create various chances for students to describe the persons they're familiar with, such as classmates, family members, teachers, idols, etc.
Period 2 (3a----Section B 2c)Preview(Pre-task): Key points: What laAdd another information about their pen pals----their language on the cardnguage does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Preview(Pre-task): Add another information about their pen pals----their language on the cardKey points: What language does she/he speak?She/He speaks....Does she/he have any brothers and sisters? Does she/he speak English?Step 1 Revision1.Revisionand dictation of the new words 2.Revise the drills they learned yesterday.(by pairwork and grammar exercise)Step 2 Leading-inT has a conversation with one student. The conversation is following:---Do you have a pen pal?---Yes, I do.---What's your pen pal's name? ---His/Her name is....---Where is your pen pal from? ---He/She is from...---Where does he/she live? ---He/She lives in....---What language does he/she speak?He/She speaks...Write the new words on the Bb. They are following: EnglishChineseJapaneseFrenchStep 3 LearnLearn the new words with the whole class.Finish 3a with the students3b Pairwork T still does an example with one student Then the Ss practise in pairs. The example is following:--Curry Muray is my pen pal. He is from the United States.---What language does he speak?
教學過程Step 1: warming-up Sing a song---------“food and drink” Step 2: Revision1 Dictation2 Revise: What kind of noodles would you like?I’d like …What size bowl of noodles would you like?I’d like…Step 3: Presentation1 show pictures of food, ask students say the words.2 Students read the newspaper ad in 3a. Fill in blanks with words in the box. Then read the ad together, the teacher explains some difficult language points.3 Check the answers Step 4 PracticeAsk students to finish 3b in the same way according to 3a. Students read the short passage and fill in the blanks .At last, check the answers.Step 5 productionAsk students to write their own ad for dumplings, noodles, drinks, and other foods they know. Then ask students to read their partner’s ad. Then order food and drink from their partner.Step 6 Home workGroup work – make an ad about “food and drink”
三、教學建議第一課時:1. Lead in (Vocabulary)A) Before class, teacher should collect some pictures of working places. For example: Bank, TV Station, Restaurant, Police Station, Hospital ...B) In class, show students the pictures (PowerPoint, OHP). Ask students to tell the name of the working places and the name of the jobs.Shop assistant, doctor, actor, reporter, police office, waiter, bank clerk, studentC) Do exercise 1a and 3a.2. Bingo GameAsk groups of students to make up pairs of cards with a job on one and the related workplace on the other. For example, waiter / restaurant, teacher / school, doctor / hospital. Encourage students to use both the job / workplace combinations in the book and the ones that students came up during class discussions. Be sure they have twice as many sets of cards as there are students in the group. They can make two sets of cards for a single job / workplace, if necessary. Then have each group mix up its set of cards and hand their cards out in random order. Each time a student gets a pair of cards that match, he or she can lay these cards down. The goal is to have no cards in your hand at the end.3. Task OneA) Ask students to work in pairs and ask the partner what does he / she want to be in the future.e. g. :What do you / does he / does she want to be?I want to be a.Why?Because it's (adj).B) Vocabulary: Section B, 1a4. Homework 1.2.
1 Each group choose one place to describe and what you are doing in it Choose one place, and describe what they are doing 2 Move around the room and give suggestions Talk about it and write it down 3 Ask one to show their works and act it Choose one of each group to make a report 4 Evaluate the best group and the best reporter Choose the best one Homework Ask your friends their ideal place and write about it教學反思:新課程標準中強調(diào)學生在課堂中的主體地位,在綜合課中他們的主體地位就更加突出。在各個活動中給不同程度的學生不同層次的任務,讓各層面的學生都有表現(xiàn)發(fā)揮的機會,從而產(chǎn)生對英語的興趣。使用照片圖片多媒體來輔助教學,效果更好。同時讓了解其他國家風景,風俗的同學介紹ideal place,增加學生的背景知知識,實現(xiàn)跨學科交流的目的。教案點評:采用任務型教學模式,在各個活動中給不同程度的學生不同層次的任務,讓各層面的學生都有表現(xiàn)發(fā)揮的機會,從而產(chǎn)生對英語的興趣。使用照片圖片多媒體來輔助教學,效果更好。讓了解其他國家風景,風俗的同學介紹ideal place,增加學生的背景知識,實現(xiàn)跨學科交流的目的。
2.1Match the country with the language.Step II Reading3a? let the students read the letter fast and answer the questions.? Let the students ask more questions about the letter as possible as the can.Step III Writing3b.Step IV. Pairwork2cStep V Listening2a, 2bStep V. HomeworkExercises book(1) P3Exercises book (2) P3Period FourStep I . Dictate the words and sentences in Unit1.Step II. Self-checkStep III. Check the answers for Exercises book in the unit.Step IV. Home workRevise and preparation for unit 2.教學反思:通過本單元的學習,學生基本可以談論人們的國籍,居住城市及其所說的語言,通過書信方式去介紹自己并尋找筆友。但在涉及到國外的一些城市時,學生對這方面的知識相對欠缺,能介紹的城市并不多,也反應出學生課前預習不充分,這跟學生學習條件也有關,大多數(shù)學生無法通過網(wǎng)絡獲取所需信息。因此,在以后的教學中要多指導學生通過計算機網(wǎng)絡獲取信息,拓寬知識面。
五、教學Section B-2c1. Pair work: What do you think of the belt/sunglasses/…? What does your father/mother/… think of your scarf/belt…?2. Group work(1). Teacher shows some different kinds of school uniforms (制服)and asks : “ What do you think of your school uniforms? If you have a chance to choose your school uniforms, what kind would you like to choose?”(2). Discuss in groups.(3).Get some Ss to report in class.說明:這一步旨在讓學生運用已有的語言知識談論對事物的看法和意見,并簡單闡明理由,培養(yǎng)學生的主動思維能力和運用英語的能力。六、教學拓展調(diào)查電視節(jié)目的收視率任務:調(diào)查你周圍的人對現(xiàn)在各種電視節(jié)目的反響。活動過程:1.教師布置任務,讓學生調(diào)查周圍的人(包括他的親戚朋友和鄰居)喜歡收看哪方面的電視節(jié)目。2.學生進行調(diào)查活動,運用本單元所學的句型What do you think of….? (Why?)What's your favorite game shows?What do you think of talk show?I doesn’t mind it.I like it.I love it.I can’t stand it.3.記錄下排在前10位的TV Program,填寫調(diào)查表,比較其收視率。
單元整體說明(一)單元教材分析本單元的核心話題是描述動物和表達個人喜好,以及句式why do you like…? Because…。這也是本單元的教學重點。通過本單元的學習,學生應能較流利地運用所學詞匯和句型描述動物,表達個人喜好。(二)單元知識結(jié)構(gòu)1.詞匯動物名稱 tiger, elephant, koala, dolphin, etc.詞匯描述性形容詞: smart, cute, ugly, clever, shy, etc.國家名: Australia, South Africa2.句型Why do you like koala hears? Because they are cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(三)單元整體目標1.Master the vocabulary2.Master and use: Why do you like koalas? Because they am cute.Where are pandas from? They're from China.What animals do you like? I like dolphins.(四)單元教學重難點一覽(五)單元學情分析學生此前已經(jīng)學過由why, where, what 引導的特殊疑問句句型,具有了學習本單元知識的認知前提。形形色色的動物能激發(fā)學生的好奇心,產(chǎn)生了解它們的欲望,這有利于本單元知識的教學和學生學習興趣的培養(yǎng)。
(1)Have you ever been to …? Yes, I have. / Yes, I have ever been to …No, I haven’t. / No, I have never been to …(2)When did you go there? I went there last year. (3)I have never been to a water park. Neither have I. I have ever been to an amusement park. So have I. (4)How long have you been studying English? I’ve been studying English since nine o’clock. I’ve been studying English since I came back home. I’ve been studying English for five hours. (5)What’s that? It’s an amusement park in Japan. I’ve never been to an amusement park like it before. It’s fun to learn another language. Let’s go tonight. Isn’t this great?space museum, amusement park, water park, South America, Peru, Holland, European culture, tour guide, flight attendant, musical instrument, more than, be from, get to, take lessons, neither, discover, graduate, change
區(qū)分賓語從句、定于從句和狀語從句賓語從句和狀語從句,都叫做主從復合句。賓語從句主要是中考必考的,是初中階段必掌握的從句,賓語從句主要是掌握三要素,所謂賓語從句,就是賓語在主從復合句當中充當賓語的一個句子,叫做賓語從句。主句的謂語動詞是及物動詞,后面如果是詞或者是短語的話,是簡單句,如果是句子的話,肯定是賓語從句。I know that he good at English.就是賓語從句,三要素,一要素是要注意連詞,連詞一共學了三類連詞,一類連詞是that口語當中可以省略,就像剛才說的那一句,I hear he is good at English.還有疑問代詞、疑問副詞,how where when,疑問代詞、疑問副詞。還有一類連詞weather是否的意思,不是狀語從句當中的如果,這一定要和如果區(qū)分開,這是是否。I don't know if he interested at English。賓語從句要注意if是連詞。第二要素是語序,要用陳述舉語序。比如說你家有幾口人,我們都說How many people are there in you family?但是這是簡單句,一旦說成賓語從句,你可以告訴我你家有幾口人嗎?Could you tell me how many people there are in you family ?
"Hello! Welcome to English class! Introduce yourself. Meet your new classmates." That's what the teacher says. What do you say? "Oh no!" It can be difficult talking to new people. But it can be fun, and you can make friends. How do you do it? Make small talk. Small talk is polite conversation. "Wang Nan is a great pingpang player, isn't she?" "I'd love to meet her, wouldn't you?" "It's been raining a lot, hasn't it?" Tag questions are a form of polite speech. To make small talk successfully, you should know how to make them. You should also know what topics to talk about. Try to learn this unit carefully. The next time you're in English class, you'll find out. Making small talk's easy, isn't it? (“你好!歡迎你!請做一下自我介紹。認識一下你的新同學?!蓖ǔT谡n上老師會這樣說。你會說什么呢?“噢,不!”與陌生人談話太困難了。但是這也很有意思,并且你還能交到朋友。你該怎么做呢?閑聊。閑聊指得是禮貌的對話?!巴蹰且粋€很棒的乒乓球運動員,不是嗎?”“我希望自己能認識她,你呢?“今年的雨水很多,不是嗎?”反意疑問句是一種禮貌用語。為了使得談話成功,你應該知道怎樣去進行閑聊。你還應該知道與不同的人該談論什么樣的話題。認真的學習這個單元吧,下次在英語課上,你會發(fā)現(xiàn)與大家展開談話是一件很容易的事情,不信我們來試試。)
This activity introduces some new vocabulary and provide oral practice using the target language.Task 1 . Ask four students to stand in front of the class, and the teacher asks them the following questions as a reporter.1.What are you going to do when you grow up?2.What are you going to do next week?3.What are going to do after school?The students will give different answers, then ask a good student to report what they said.I am going to e a doctor.What did she say?----------She said she was going to be a doctor.I am going to have a party on Friday night.What did he say?-------He said he was going to have a party on Friday night.I am going to do my homework.What did she say ?------ She said she was going to do her homework.I am going home after school.What did she say?-----She said she was going home after school.Say In this unit we are going to learn to use words like to report what someone said.Task 2. Read the instructions. Then ask a student to read the four questions. And write the words on the Bb. Explain what soap opera is.Task 3. Ask the students to Look at the pictures, point out the TV screens in the picture. Ask one girl to read what Marcia said.What did Marcia say? She said She said she was having a surprise party for Lana on Friday night. Repeat the other pictures in the same way.Activity3. Listen and number the pictures in activity 1a.
Step Ⅱ Show the new words on the screen and teach the new words. Read the new words to students and ask them to repeat.Step Ⅲ 3aThis activity introduces new vocabulary and provides reading practice using the target language.In this activity first look at the four pictures.T: What can you see in the pictures?Ss: Four snow globes.T: Right. There are four snow globes in the pictures. And what are they?Ss: They are a monster, two polar bears, two penguins and a birthday cake.Write these words on the blackboard: snow globe; monster; polar bear; penguin and birthday cake. Read them to the class and ask students to repeat each one. Make sure students understand each word.Use a computer to show the E-mail message on the screen and read the message to students.Get students to read the e-mail on their own, and then draw lines connecting each snow globe and its description.Correct the answers.AnswersA line should connect each snow globe picture with the words that describe it in the letter.Step Ⅳ 3bThis activity provides writing practice using the target language.First review Activity 2a on Page 47.Then ask students to complete the message according to Activity 2a.Some partial sentences are given to students. Write about one person's collection.When students work, walk around the room checking the progress and offering help as needed.When they finish, ask some students to read their messages to the class.
(一).知識方面: 1.培養(yǎng)學生能運用過去進行時來描述、談論過去某個時間正在發(fā)生的事情或動作的意識和能力,能就過去某個時間正在發(fā)生的動作做出正確的描述。 2.培養(yǎng)學生的想象力和角色扮演的合作能力。 3.培養(yǎng)學生講述過去發(fā)生的事情經(jīng)過的能力。能正確運用一般過去時來講述故事。 (二).技能方面: 1.本單元的語言目標是Talk about past events and tell a story(談論過去的時間和講述一個故事),圍繞這一目標,要涉及句型: What were you doing when the UFO arrived? ----I was sitting in the barber’s chair. The barber was cutting my hair. 因此必須學習standing、studying、cleaning、sleeping、cooking、making、eating、cutting、等表示地點的詞,以便為上述句型提供語言材料。2.學習過去進行時的有關知識。Was/were+現(xiàn)在分詞,是該時態(tài)的表達式。 3.在學習過程中,要區(qū)分The boy was walking down the street when the UFO landed.和While the boy was walking down the street, the UFO landed.這兩種由when和while引導的狀語從句的句型結(jié)構(gòu)。注意它們的不同。
教師帶領學生復習有關描述寵物的詞匯,采用教師提問學生回答的方進行。如:T:What animals do you think would be good pets?What animals do you think would be bad pets?What do you think are good animals for a six-year-old child?然后學生進行 pairwork 練習。Task two: 師生互動,學習探究 1、播放3a部分的錄音,引導學生一邊聽錄音,一邊跟讀。2、通過聽錄音學生回答以下問題:Why do you think pot-bellied pigs are popular?What are the advantages and disadvantages of keeping such a pet?教師對學生的回答進行及時點評。3.學習范文,學習重點短語,為下步的模仿寫作提供語言素材。T :1. )Have you ever kept a pig as a pet?Do you like pigs? St.:No.…Why don’t you like to keep a pig? St: No.They’re too dirty and lazy(Do you know in some foreign countries like Hollyland, Australia,pigs are the most popular pet.there’s a kind of pig.(圖)it has an interesting name? it ‘s called a pot-bellied pig.) Now,let’s learn an article about this kind of interesting pet.2.)play the tapeSt.:Listen and repeat3.)show some Qs on computer(本子St.: read silently,then answerthe Qs(本子)4.)Ask ss. Close book and retell this passage.(what is a pot-bellied pig? Is it a good or bad pet? ) St.: retell it to each other“A pot –bellied pig is a popular pet now…”5.read the article together.St.:.practice reading