Teaching goals : 1. Words & phrases: babysit ,get back , fishing , rent , think about , decide(on) , tourist etc. 2. How to talk about future plans . 3. 現(xiàn)在進(jìn)行時表示將來計劃或行動. 4. 特殊疑問句(where , when , how long引導(dǎo)) Important and difficult points : Drills :What are you doing for vacation ? I’m watching TV . When are you going ? I’m going … . How long are you staying ? We’re staying for five days . Teaching aids : cards and a tape ,a large wall calendar . Period 1 Teaching procedures : Step 1Leading in1. Free talk . 2. Put up the wall calendar . T: I’m staying home on Saturday (pointing to next Saturday ).Ss repeat . Ss: I’m staying home on Saturday . T: OK. Today we’ll learn how to talk about future plans. Step 2Pre-task SB Page 13 , 1a . 1. Look at the picture carefully and tell what you see in the picture . 2. Write the activities from the pictures in the box and add some more . 3. Practice reading . Step 3While-task1. Using the activities we write in 1a to make conversations .For example :What are you doing for vacation ? I’m visiting my uncle . 2. Pairwork .Practice in pairs . 3. 用第三人稱練習(xí)對話.
教學(xué)目標(biāo)1.知識目標(biāo):(1)學(xué)習(xí)What are you going to be when you grow up?/How are you going to do that?句式。(2)學(xué)會用英語描述有關(guān)職業(yè)的表達(dá)法。2.能力目標(biāo):(1)能夠談?wù)摓閷崿F(xiàn)理想所做出的打算和安排。(2)能夠談?wù)撐磥碜约号c他人理想的職業(yè)及原因。(3)能用英語描述課余時間的活動安排,最終具備表達(dá)綜合信息的能力。3.情感目標(biāo):新學(xué)期到來之際,讓他們在學(xué)習(xí)、體育、飲食、特長、讀書等方面制定計劃,教育學(xué)生合理安排自己的課外生活,思考自己的理想職業(yè)及適合自己的職業(yè)。教學(xué)重點、難點本單元的重點為“be going to”表將來,want to be, what,where, when,how引導(dǎo)的特殊疑問句。難點是語言目標(biāo)的實現(xiàn)。教材分析本單元以I am going to be a basketball player為話題,共設(shè)計了三部分的內(nèi)容:一、Section A該部分有4個模塊。第一模塊圍繞Do you think these jobs are interesting?這一話題展開思維(1a)、聽力(1b)、口語(1c)訓(xùn)練;
1 交通工具的比較此活動為小組活動。學(xué)生通過討論找出到達(dá)某一城市可乘坐的各種交通工具,并選擇最佳出行方式。Teacher:We’re going to Shanghai. How many ways can we use to get there? Yes, there are four ways: by bus, by plane, by train, by ship. Please discuss how you are going to get there.操作建議:(1)學(xué)生以小組為單位展開活動,談?wù)摫窘M所選擇的交通工具。(2)各組選代表向全班匯報,闡述本組所選擇的交通工具的利和弊。完成任務(wù)所需要的語言結(jié)構(gòu):We can go there by ship. It’s more comfortable and cheaper than any other transportation.We can go there by bus. It’s cheaper but it takes longer time.2 哪個城市更合適?此活動具有挑戰(zhàn)性。假設(shè)中國要舉行2014年世界杯足球賽,分別從歷史,人文,天氣等方面對各城市(北京,大連,上海,昆明)進(jìn)行比較,選擇最佳舉辦城市。T: Imagine China is holding the 2014 FIFA World Cup. Which city do you think is the best for the World Cup, Beijing, Dalian, Shanghai or Kunming? Let’s work in groups. If you choose Beijing, please join the Team Red. If you chose Dalian, please join the Team White. If you choose Shanghai, please join the Team Blue. If you choose Kunming, please join the Team Green. Please show us its advantages. Then let’s see which team will win.
教學(xué)重點和難點:運用所掌握的語言描述,比較不同地點的特點。在練習(xí)中學(xué)習(xí)掌握英語比較級和最高級的用法。課前準(zhǔn)備分配小組,每組五至六人。通過上網(wǎng)或翻閱報刊雜志等方法,確定旅游線路,做出基本的旅游計劃。教學(xué)設(shè)計:本節(jié)課流程圖 學(xué)法指導(dǎo):1.由于這是一堂新課,在教學(xué)中應(yīng)注意面向全體,發(fā)揮學(xué)生的主體性,引導(dǎo)學(xué)生積極參與,激發(fā)學(xué)生的求知欲和學(xué)習(xí)積極性,指導(dǎo)學(xué)生積極思維,主動獲取知識,養(yǎng)成良好的學(xué)習(xí)方法。逐步學(xué)會獨立解決問題。總之要盡可能調(diào)動學(xué)生的非智力因素促進(jìn)智力因素的發(fā)展。教法選擇:1.電化教學(xué)法2.課堂討論法3.任務(wù)型教學(xué)法采用這些方法的目的是為了充分調(diào)動學(xué)生的學(xué)習(xí)積極性,使學(xué)生變被動學(xué)習(xí)為主動學(xué)習(xí)。通過電腦形象的演示,加強印象,提高興趣,突破難點,提高教學(xué)效率,進(jìn)而增大教學(xué)的容量和信息量。充分體現(xiàn)教師為主導(dǎo),學(xué)生為主體的教學(xué)原則。
She shouldn’t go to the party tonight.Step7. TaskT: You know, there are lots of problems in our life. If you are a doctor, please tell us how to solve the problem. I will divide you into 9 groups. Please work in groups. And then choose one of you to report your ideas.The following are the problems:I have a toothache.I am hungry. I have a sore throat.I am stressed out. I have a sore back.I am tired. I can’t sleep.I have a cold. I have a headache.Report: If you have a headache, you should go to bed early. You should see the doctor. You should eat some medicine. You shouldn’t wash your face with cold water.You shouldn’t sleep late.You shouldn’t swim.…..T encourages the students to give advice as much as possible.Homework:1. Chose one of the problems, and write down your advice2. Copy the new words這一步是用于熱身的,同時也可以讓他們復(fù)習(xí)一部分的表示人體部位的單詞,擴充知識.學(xué)習(xí)語言的過程也是一個不斷積累的過程,復(fù)習(xí)舊知識,增添新知識.通過小游戲,強化學(xué)生對Does she/he have…這個句子的運用能力.通過復(fù)習(xí),自然的引到下面新知識的學(xué)習(xí)。充分利用表格,由句子到對話,再到文章,讓學(xué)生循序漸進(jìn). 提高學(xué)生的綜合語言運用能力,運用以前學(xué)過的知識來解決身邊的問題.Period 5 (Section B 3a—3c, selfcheck)教學(xué)內(nèi)容與分析:
Step 1 Greeting Greet the class and check the homeworkStep 2 A duty report The S on duty gives a report on the rules in his home and lead in 3a “Sun Fei’s and Wu Yu’s rules” Step 3 ReadingSs read the conversation and write the two girls’ rules in the chart. Check the answers.Get Ss to read after the tape and then read aloud by themselves. Then, T explains the language points.Step 4 Pairwork 3bRole play. Use the information in chart to practice with the conversation in 3a covered. They can look at the sample conversation in the right box.Step 5 Task 2 “Who’s the best reporter?”Make a survey by asking any 5 students the questions in the chart in activity 4. Then give out a report about it. See who is the best reporter? And the best reporter will get a nice ball-pen.Step 6 Summary and homework:Write out the report in your exercise-books.Period ThreeStep 1 Greeting and a duty reportThe S gives a duty report talking about his experience of being late for school. Lead in the question “Do you ever get to school late? How often do you get to school late? Always, usually, sometimes, or never?Step 2 1a Get Ss to finish writing.Step 3 Pairwork 1b Get Ss to talk about their answers with their partners using the sample conversation in the box on the right.Step 4 Listening practice2a Lead-in: What will happen if you get to school late? What about Peter? Let’s listen to a conversation between Peter and his father. Get Ss to finish 2a (As usual, for the first time, Ss only listen.) Check the answers.
內(nèi)容提示1.本單元主要內(nèi)容是學(xué)會used to結(jié)構(gòu)。Used to +動詞原形表示過去經(jīng)常、以前常常,只用于過去式中,用來表示現(xiàn)在已不存在的習(xí)慣或狀態(tài)。例如:They used to play football together.他們過去常在一起蹋足球。(現(xiàn)在不在一起踢了)2.used to的疑問形式和否定形式為Did you use to…?和I didn’t use to… 也可以用Used you to…?和I used not to…但現(xiàn)在多使用前者。例如:Did you used to swim in the river? 你過去常在河里游泳嗎?I didn’t use to play the piano. 我以前并不經(jīng)常彈鋼琴。教學(xué)目標(biāo)一、學(xué)習(xí)目標(biāo)(Language Goal) 1.學(xué)會陳述自己過去常做的事情。2.學(xué)會陳述自己過去的愛好等。3.能夠表達(dá)自己現(xiàn)在和過去在外表、性格、娛樂等方面的變化。4.能夠表達(dá)朋友、家人等現(xiàn)在和過去的變化。二、語言結(jié)構(gòu)(Language Structures) 1.I used to be short when I was young. 我年輕時個子很矮。 2. —Did you use to have straight hair? 你過去是直發(fā)嗎?—Yes, I did. 是的。 3. —Did you use to play the piano? 你過去彈鋼琴嗎?—No, I didn’t. 不,我不彈。 4.I used to be afraid of dark. 我過去害怕黑暗。 5.I’m terrified of the snakes. 我害怕蛇。
一、Section A該部分有4個模塊。第一模塊圍繞Whose volleyball is this? 這一話題展開思維( 1a)、聽力(1b)、口語( 1c)訓(xùn)練;第二模塊圍繞上一模塊中的話題進(jìn)行聽力( 2a-2b)、口語訓(xùn)練( 2c);第三模塊繼續(xù)圍繞前兩個模塊中的“making inferences”展開訓(xùn)練。訓(xùn)練形式為閱讀排序( 3a)和兩人問答(3b);第四模塊仍就上一話題展開討論。二、Section B該部分有4個模塊。第一模塊要求根據(jù)圖畫和所提供的單詞寫出合理的句子;第二模塊在聽力( 2a-2b)和分角色口語訓(xùn)練( 2c)的基礎(chǔ)上,繼續(xù)進(jìn)行“推測”訓(xùn)練; 第三模塊圍繞“Strange events in Bell Tower neighborhood”這一話題展開閱讀( 3a)和寫作(3b -3c)訓(xùn)練;第四模塊以dream為話題展開小組活動。三、Self Check該部分有3個模塊。第一模塊以填空形式對所學(xué)詞匯進(jìn)行訓(xùn)練;第二模塊就8個諺語展開閱讀和討論。
本單元主要是學(xué)習(xí)情態(tài)動詞can的肯定句、否定句、一般疑問句,肯定與否定回答,以及特殊疑問句的構(gòu)成和用法;復(fù)習(xí)what弓!導(dǎo)的特殊疑問句。本單元主要圍繞“加人俱樂部,談?wù)撟约旱哪芰Α边@一話題,設(shè)計了三個任務(wù)型活動:任務(wù)一是:自己的才藝表演,學(xué)習(xí)情態(tài)動詞can的用法;任務(wù)二是:自己建立俱樂部,運用情態(tài)動詞can談?wù)撟约涸谀骋环矫娴哪芰?、喜好和意愿;任?wù)三是:我能成功,主要是復(fù)習(xí)鞏固談?wù)摳髯缘膼酆煤吞亻L的方法。單元知識系統(tǒng)(樹)Can you/he/she/you dance? 一Yes,I/he/she/we can./No,I/he/she/we can’t.Can Bill play the guitar?一Yes,he can,but he can’t sing.單元總體目標(biāo)通過學(xué)習(xí)情態(tài)動詞can的用法,使學(xué)生能夠表達(dá)自己在某一方面所具備的才能;能夠談?wù)撟约旱南埠门c意愿;能夠為自己成立的各種俱樂部制作海報;會寫招聘廣告。單元重難點一覽重點 難點I.復(fù)習(xí)詞匯:can,play,want2.詞匯:guitar, dance, swim,sing, chess, speak, drum,trumpet,violin,play the guitar3.句型:Can you/he/she/you dance?Yes,I/he/she/we can./No,I/he/she/we can’t.Can Bill play the guitar?
在這一單元中,學(xué)生要學(xué)會就有關(guān)人與物之間所屬關(guān)系進(jìn)行問答的句子。本單元大量引入有關(guān)運動的名詞,要求學(xué)生彼此詢問有無此類物品,并做出相應(yīng)的回答。 同時學(xué)習(xí)表示建議的句型Let’s運動的形容詞。 本單元所選用的話題來自學(xué)生所喜歡的生活片段,在教學(xué)中生生交流、師生交流會更融洽,會促進(jìn)師生彼此間的了解,成功的教學(xué)還會讓部分學(xué)生養(yǎng)成良好的運動習(xí)慣和收藏習(xí)慣。 教學(xué)目標(biāo) 1) 語言知識:A.在詢問對方是否有某物的對話中學(xué)會使用do和does引導(dǎo)的一般疑問句; B. 學(xué)會使用描述性的形容詞來評價事物; C. 學(xué)會在對話中使用名詞復(fù)數(shù); D. 學(xué)會用祈使句來向?qū)Ψ教岢鼋ㄗh. 2) 語言技能:A. 學(xué)會用祈使句詢問某人是否有某物; B. 學(xué)會向他人提出建議的句子. 3) 學(xué)習(xí)策略:A.通過與同學(xué)討論,做出猜測;
本單元主要學(xué)習(xí)一周中星期一到星期天的表達(dá)方式;掌握學(xué)科的表達(dá);學(xué)習(xí)用because和表示品質(zhì)的形容詞表示理由;學(xué)習(xí)what,why,who引導(dǎo)的特殊疑問句。本單元圍繞“談?wù)撟约核矚g的學(xué)科”這一話題,設(shè)計了三個任務(wù)型活動:任務(wù)一是:談?wù)撟约核矚g的學(xué)科,學(xué)習(xí)what引導(dǎo)的特殊疑問句和學(xué)科的表達(dá);任務(wù)二是:一分鐘演講,讓學(xué)生介紹自己喜歡某一學(xué)科的理由,學(xué)習(xí)why等特殊疑問句;任務(wù)三是:寫信,鞏固和延伸所學(xué)知識,掌握星期的表達(dá)方式。單元知識系統(tǒng)(樹)What’s your/his/her favorite subject? My/His/Her favorite subject is English.Why do you like math. Because it’s interesting.Why does he/she like art? Because it’s fun.When do you have math? I have math 0n Monday,Wednesday and Friday.What’s Ken’s favorite subject? Science.單元總體目標(biāo)通過本單元的學(xué)習(xí)使學(xué)生學(xué)會談?wù)撟约合埠玫膶W(xué)科或自己喜好的其它事情并給出理由;學(xué)會說出一周的七天;學(xué)會合理地安排自己的作息時間。
一、知識和能力目標(biāo)本單元的核心教學(xué)內(nèi)容是“認(rèn)物”。用英語確認(rèn)周圍的常見事物比較符合英語初學(xué)者的實際情況。通過本單元教學(xué),使學(xué)生運用所學(xué)句型,去熟悉周圍事物的名稱;教學(xué)生學(xué)會在實際生活中如何確認(rèn)事物。通過辨認(rèn)物體,學(xué)生學(xué)到一些生詞,并鞏固所學(xué)句型。二、過程和方法目標(biāo)教師要盡量使學(xué)生對課文中出現(xiàn)的句型能夠熟練上口,這樣,學(xué)生才能順利開展比較靈活的對話。教師可以用手勢,表情,動作等示意,幫助學(xué)生聽懂課堂教學(xué)內(nèi)容,但在實際操作中應(yīng)盡量避免“明知故問”的傾向,應(yīng)該采用應(yīng)用性原則;如:遮蓋物品、顯露局部、辨認(rèn)物體、完形識別、圖形辨認(rèn)等方法。三、情感態(tài)度和價值觀目標(biāo)目標(biāo)在學(xué)生學(xué)習(xí)過程中的作用至關(guān)重要,教師要幫助他們建立起一個切合自己實際的目標(biāo),通過漸進(jìn)的學(xué)習(xí)以及一點一滴的進(jìn)步,使他們逐步建立起成功感。成功越多,自信心就越強。
一、 教學(xué)內(nèi)容Section A 1a----1c二、 教學(xué)目標(biāo)1.學(xué)習(xí)詞匯do the dishes, make the bed, take out the trash, fold the clothes, do the laundry, sweep the floor, clean the living room.2.句型 Could you please clean your room? Yes, sure.三、 教學(xué)準(zhǔn)備 學(xué)生預(yù)習(xí)本單元所有的詞匯多媒體課件 活動表 獎品四、 教學(xué)過程Pre-task1. Warming upEnjoy ourselves. Watch cartoon Cinderella. 看動畫片段《灰姑娘》導(dǎo)如入本課話題和新詞匯“chores”美麗善良的鬼姑娘因繼母的嫉妒,每天得做所有的家務(wù)。片段的主題使學(xué)生聯(lián)想到本課的話題。2. learn new words and phrasesLook! What is she / he dong? 看圖學(xué)習(xí)動詞詞組do chores, do the dishes, make the bed, take out the trash, fold the clothes, do the laundry, clean the living room.3. Guessing game.What is she doing ? 4. Pair work. 1a, Do you do these things at home? Write “Y” for “yes” and “N” for “no”.5. Listening . 1b , Peter’s chores or Mom’s chores?理解目標(biāo)語Could you please clean your room? Yes, sure.Write “M” for Mom’s chores, “P” for Peter’s chores in the chart.6. PairworkLook at the picture,Ask your partner to do the chores that you see. 7. Interview Who is the most able at home? 1) What chores do you do at home? How often do you do the chores? Work in four, interview each of the students in the group, fill in the chart.
教學(xué)目標(biāo): 1. Express preferences2. Talk about one’s likes and dislikes and the reasons3. Learn to express one’s opinions 4. Learn to write a reply 語言功能: 1) Talk about one’s preferences, using t he relative clause2) Talk about people’s likes and dislikes and the reasons3) Talk about opinions語言結(jié)構(gòu): Relative clauses with that and who語言目標(biāo):What kind of music do you like?I like music that I can sing along with.I love singers who write their own music.We prefer music that has great lyric.重點詞匯及短語:heart, photography, interest, class, whatever, miss, okay, expect, sweet, taste, itself, laboratory, cancer, increase, biscuit, main, care, prefer… to…, remind somebody of …, dance to, sing along with, be sure to, interest somebody, make somebody adj., to be honest, suit somebody, on display, catch up教學(xué)重難點:What do other people think of the different kinds of things? How to express one’s opinions? 學(xué)習(xí)方式:討論,合作學(xué)習(xí)情感目標(biāo):通過本單元的學(xué)習(xí),能提高學(xué)生的藝術(shù)鑒賞能力和審美情趣,并引導(dǎo)學(xué)生養(yǎng)成健康的飲食習(xí)慣。課時安排5課時第一課時:Section A: 1a-2c第二課時:Section A : 3a-4第三課時:Section B:1-2c, Self check2第四課時:Section B: 3a-4, Self check1第五課時:Self check ReadingI like music that I can dance to.
內(nèi)容提示本單元主要內(nèi)容是學(xué)會利用verb十by/with gerund表示方式方法來討論學(xué)習(xí)英語的策略,認(rèn)識自己在學(xué)習(xí)方面的長處和不足。初步了解現(xiàn)在完成時的結(jié)構(gòu)和用法?,F(xiàn)在完成時由助動詞have/has+動詞的過去分詞構(gòu)成,主要表示過去發(fā)生的某一動作對現(xiàn)在仍有影響或造成的后果,常與already,yet,just,ever,never等副詞連用。教學(xué)目標(biāo)一、學(xué)習(xí)目標(biāo)(Language Goal) 1. Talk about how to study . 學(xué)會討論各種學(xué)習(xí)方法和策略。2. Find out your suitable learning methods. 找出適合自己的學(xué)習(xí)方法。 二、語言結(jié)構(gòu)(Language Structures) 1. Verb + by with gerund by+動名詞短語 表示“通過…途徑,方法” 2. How questions have引導(dǎo)的特殊疑問句 三、目標(biāo)語言(Target Language) 1. How do you study for tests ? 你是怎樣準(zhǔn)備考試的?Well , I study by working with my classmates. 哦,我和同學(xué)們一起學(xué)習(xí)。2. Have you ever studied with a group ? 你曾經(jīng)參加過學(xué)習(xí)小組嗎?Yes , I have . I’ve learned a lot that way . 是的,參加過。通過這種方式我學(xué)了許多。
The First PeriodⅠ.Teaching Aims and DemandsKnowledge Objects(1) Key Vocabularytiring, educational, fascinating, thrilling, peaceful, exotic, trek, jungle, take it easy, explore, historic, site(2) Target LanguageWhere would you like to go on vacation?I’d like to trek through the jungle, because I like exciting vacations.2. Ability Objects(1)Train students to talk about places they would like to visit with the target language.(2)Train students to describe vacations with different adjectives.(3)Train students' listening skill.3. Moral Object,It′s more interesting to go on vacating somewhere instead of staying at home.Ⅱ. Teaching Key Points1. Key Vocabularytiring, educational, fascinating, thrilling, peaceful, exotic, trek, jungle, take it easy, explore, historic, site2. Target LanguageTalk about different places with the target language.Ⅲ. Teaching Difficult Points1. Describe vacations with different adjectives.2. Talk about different places with the target language.Ⅳ. Teaching Methods1. Teaching by illumination2. Teaching by doing chain drills3. Teaching by pairworkⅤ. Teaching Aids1. A tape recorder2. Some pictures of different places with famous views
方法總結(jié):解題關(guān)鍵是要讀懂題目的意思,根據(jù)題目給出的條件,找出合適的等量關(guān)系,列出方程再求解.探究點三:工程問題一個道路工程,甲隊單獨施工9天完成,乙隊單獨做24天完成.現(xiàn)在甲乙兩隊共同施工3天,因甲另有任務(wù),剩下的工程由乙隊完成,問乙隊還需幾天才能完成?解析:首先設(shè)乙隊還需x天才能完成,由題意可得等量關(guān)系:甲隊干三天的工作量+乙隊干(x+3)天的工作量=1,根據(jù)等量關(guān)系列出方程,求解即可.解:設(shè)乙隊還需x天才能完成,由題意得:19×3+124(3+x)=1,解得:x=13.答:乙隊還需13天才能完成.方法總結(jié):找到等量關(guān)系是解決問題的關(guān)鍵.本題主要考查的等量關(guān)系為:工作效率×工作時間=工作總量,當(dāng)題中沒有一些必須的量時,為了簡便,應(yīng)設(shè)其為1.三、板書設(shè)計“希望工程”義演題目特點:未知數(shù)一般有兩個,等量關(guān)系也有兩個解題思路:利用其中一個等量關(guān)系設(shè)未知數(shù),利用另一個等量關(guān)系列方程
從而為列方程找等量關(guān)系作了鋪墊.環(huán)節(jié)2中的表格發(fā)給每個小組,為增強小組討論結(jié)果的展示起到了較好的作用.環(huán)節(jié)3中通過讓學(xué)生自己設(shè)計表格為討論的得出起到輔助作用.2.相信學(xué)生并為學(xué)生提供充分展示自己的機會本節(jié)課的設(shè)計中,通過學(xué)生多次的動手操作活動,引導(dǎo)學(xué)生進(jìn)行探索,使學(xué)生確實是在舊知識的基礎(chǔ)上探求新內(nèi)容,探索的過程是沒有難度的任何學(xué)生都會動手操作,每個學(xué)生都有體會的過程,都有感悟的可能,這種形式讓學(xué)生切身去體驗問題的情景,從而進(jìn)一步幫助學(xué)生理解比較復(fù)雜的問題,再把實際問題抽象成數(shù)學(xué)問題.3.注意改進(jìn)的方面本節(jié)課由于構(gòu)題新穎有趣,所以一開始就抓住了學(xué)生的求知欲望,課堂氣氛活躍,討論問題積極主動.但由于學(xué)生發(fā)表自己的想法較多,使得教學(xué)時間不能很好把握,導(dǎo)致課堂練習(xí)時間緊張,今后予以改進(jìn).
1:甲、乙、丙三個村莊合修一條水渠,計劃需要176個勞動力,由于各村人口數(shù)不等,只有按2:3:6的比例攤派才較合理,則三個村莊各派多少個勞動力?2:某校組織活動,共有100人參加,要把參加活動的人分成兩組,已知第一組人數(shù)比第二組人數(shù)的2倍少8人,問這兩組人數(shù)各有多少人?目的:檢測學(xué)生本節(jié)課掌握知識點的情況,及時反饋學(xué)生學(xué)習(xí)中存在的問題.實際活動效果:從學(xué)生做題的情況看,大部分學(xué)生都能正確地列出方程,但其中一部分人并不能有意識地用“列表格”法來分析問題,因此,教師仍需引導(dǎo)他們能學(xué)會用“列表格”這個工具,有利于以后遇上復(fù)雜問題能很靈活地得到解決.六、歸納總結(jié):活動內(nèi)容:學(xué)生歸納總結(jié)本節(jié)課所學(xué)知識:1. 兩個未知量,兩個等量關(guān)系,如何列方程;2. 尋找中間量;3. 學(xué)會用表格分析數(shù)量間的關(guān)系.
解:設(shè)截取圓鋼的長度為xmm.根據(jù)題意,得π(902)2x=131×131×81,解方程,得x=686.44π.答:截取圓鋼的長度為686.44πmm.方法總結(jié):圓鋼由圓柱形變成了長方體,形狀發(fā)生了變化,但是體積保持不變.“變形之前圓鋼的體積=變形之后長方體的體積”就是我們所要尋找的等量關(guān)系.探究點三:面積變化問題將一個長、寬、高分別為15cm、12cm和8cm的長方體鋼坯鍛造成一個底面是邊長為12cm的正方形的長方體鋼坯.試問:是鍛造前的長方體鋼坯的表面積大,還是鍛造后的長方體鋼坯的表面積大?請你計算比較.解析:由鍛造前后兩長方體鋼坯體積相等,可求出鍛造后長方體鋼坯的高.再計算鍛造前后兩長方體鋼坯的表面積,最后比較大小即可.解析:設(shè)鍛造后長方體的高為xcm,依題意,得15×12×8=12×12x.解得x=10.鍛造前長方體鋼坯的表面積為2×(15×12+15×8+12×8)=2×(180+120+96)=792(cm2),鍛造后長方體鋼坯的表面積為2×(12×12+12×10+12×10)=2×(144+120+120)=768(cm2).