(1)依照此规律,第20个图形共有几个五角星?(2)摆成第n个图形需要几个五角星?(3)摆成第2015个图形需要几个五角星?解析:通过观察已知图形可得:每个图形都比其前一个图形多3个五角星,根据此规律即可解答.解:(1)根据题意得,第1个图中,五角星有3个(3×1);第2个图中,五角星有6个(3×2);第3个图中,五角星有9个(3×3);第4个图中,五角星有12个(3×4);∴第n个图中有五角星3n个.∴第20个图中五角星有3×20=60个.(2)摆成第n个图形需要五角星3n个.(3)摆成第2015个图形需要6045个五角星.方法总结:此题首先要结合图形具体数出几个值,注意由特殊到一般的分析方法.此题的规律为摆成第n个图形需要3n个五角星.三、板书设计教学过程中,强调学生自主探索和合作交流,经历观察、操作、验证、归纳、分析、猜想、抽象、积累、类比、转化等思维过程,从中获得数学知识与技能,体验教学活动的方法,同时升华学生的情感态度和价值观.
由②得y=23x+23.在同一直角坐标系中分别作出一次函数y=3x-4和y=23x+23的图象.如右图,由图可知,它们的图象的交点坐标为(2,2).所以方程组3x-y=4,2x-3y=-2的解是x=2,y=2.方法总结:用画图象的方法可以直观地获得问题的结果,但不是很准确.三、板书设计1.二元一次方程组的解是对应的两条直线的交点坐标;2.用图象法解二元一次方程组的步骤:(1)变形:把两个方程化为一次函数的形式;(2)作图:在同一坐标系中作出两个函数的图象;(3)观察图象,找出交点的坐标;(4)写出方程组的解.通过引导学生自主学习探索,进一步揭示了二元一次方程和函数图象之间的对应关系,很自然的得到二元一次方程组的解与两条直线的交点之间的对应关系.进一步培养了学生数形结合的意识,充分提高学生数形结合的能力,使学生在自主探索中学会不同数学知识间可以互相转化的数学思想和方法.
煤的价格为400元/吨,生产1吨甲产品除需原料费用外,还需其他费用400元,甲产品每吨售价4600元;生产1吨乙产品除原料费用外,还需其他费用500元,乙产品每吨售价5500元.现将该矿石原料全部用完,设生产甲产品x吨,乙产品m吨,公司获得的总利润为y元.(1)写出m与x的关系式;(2)写出y与x的函数关系式.(不要求写自变量的取值范围)解析:(1)因为矿石的总量一定,当生产的甲产品的数量x变化时,那么乙产品的产量m将随之变化,m和x是动态变化的两个量;(2)题目中的等量关系为总利润y=甲产品的利润+乙产品的利润.解:(1)因为4m+10x=300,所以m=150-5x2.(2)生产1吨甲产品获利为4600-10×200-4×400-400=600(元);生产1吨乙产品获利为5500-4×200-8×400-500=1000(元).所以y=600x+1000m.将m=150-5x2代入,得y=600x+1000×150-5x2,即y=-1900x+75000.方法总结:根据条件求一次函数的关系式时,要找准题中所给的等量关系,然后求解.
8.一束光线从点A(3,3)出发,经过y轴上点C反射后经过点B(1,0)则光线从A点到B点经过的路线长是( )A.4 B.5 C.6 D.7第四环节课堂小结1、关于y轴对称的两个图形上点的坐标特征:(x , y)——(- x , y)2、关于x轴对称的两个图形上点的坐标特征:(x , y)——(x , - y)3、关于原点对称的两个图形上点的坐标特征:(x , y)——(- x , -y)第五环节布置作业习题3.5 1,2,3四、 教学反思通过“坐标与轴对称”,经历图形坐标变化与图形的轴对称之间的关系的探索过程, 掌握空间与图形的基础知识和基本技能,丰富对现实空间及图形的认识,建立初步的空间观念,发展形象思维,激发学生对数学学习的好奇心与求知欲,学生能积极参与数学学习活动;积极交流合作,体验数学活动充满着探索与创造。教学中务必给学生创造自主学习与合作交流的机会,留给学生充足的动手机会和思考空间,教师不要急于下结论。事先一定要准备好坐标纸等,提高课堂效率。
四、说教法、学法【说教法】1.美读感悟法: 文章语言优美,读起来琅琅上口,因此,“美读”是本课最重要,也是最主要的方法。“阅读是学生个性化的行为,不应以教师的分析代替学生的实践。”对于三年级学生来说,更不必过多的讲解分析,最主要让学生多读,同时教师要巧妙地借助课件,借助对学生读书的评价,帮助学生在读中去感受,领悟,使学生感受到语言文字中所描绘的鲜明形象,引起学生对课文中描述的事物与情景的关注,入境入情,促进学生自悟自得,受到美的熏陶,激起观察自然的兴趣。 2.多媒体情景法: 因为小学生生活经验少,但好奇心强,容易激发兴趣,因此,我运用电教手段,创设多种情景,展示课文相关图片,使学生在完全置身于课文所描绘的情景的同时,轻松、愉快、积极、主动的学习。同时,形象直观的课件展示,有助于学生读懂课文,感悟到语言文字带来的美,体验到发现的乐趣,也有助于突出教学重点,突破教学难点。 3.质疑问难法: 古人云:“学起于思,思源于疑。”课堂教学中,运用恰当的手段,引导学生质疑问难,能激发浓厚的思考兴趣和创新思维。
一、说教材 《王戎不取道旁李》是统编教材小学语文四年级上册第八单元中的一篇精读课文。课文写王戎通过仔细观察和分析,推断路边李树上的李子是苦李而不取的故事。在故事中,王戎年仅七岁,就能根据环境来进行分析,充分赞扬了他的聪明,善于观察和思考。启示我们也要像他一样,细心观察,勤于思考,根据有关现象进行推理判断,避免不必要的错误。二、说教学目标: 1.认识3个生字,会写5个生字。2.正确、流利地朗读课文,背诵课文。 3.能借助注释了解课文大意,并用自己的话讲故事。4.理解“树在道边而多子,此必苦李”的原因。三、说教学重难点:1.能借助注释了解课文大意,并用自己的话讲故事;理解“树在道边而多子,此必苦李”的原因是教学的重点。2.体会王戎的仔细观察,善于思考、分析是本课难点。
一、说教材:《西江月夜行黄沙道中》这首词是宋代词人辛弃疾贬官闲居江西上饶时的一篇名作。它以自然朴素的语言,给我们展现了一幅鲜明逼真的田野风光图。我对这节课的定位是:以诵读来“帮助”解析。二、说教学目标:本课的教学目标概括起来为三个字,即:读、品、悟从教学目标的三维目标形式来说,即为:1、正确、流利、有感情地朗读课文。背诵课文。2、通过语言文字,融入自己丰富的想象,感悟这首词所描绘的意境。3、通过朗读,感受词中所表现的自然美,感悟作者热爱大自然,企盼丰年的思想感情。三、说重难点:感受词中所表现的自然美,想象词句所描绘的画面,体会词中蕴含的诗人的情怀。四、说教法、学法:新课程标准提出对六年级学习诗词的要求:“通过诗文的声调、节奏、想象等来体现作品的内容和感情。”考虑到本年级学生的学习能力,在本节课教学中,我把“读”贯穿于整个课堂。
各位老师上午(下午)好!今天我说课的内容是《宿建德江》。我将从教材分析、学情分析、教学方法、教学过程、教学反思等方面作具体的阐述。一、教材分析《宿建德江》选自国家统编教材小学语文六年级上册第一单元,是一首刻画秋江暮色的写景作品。“愁”是全诗的诗眼,全诗围绕“愁”字显示着作者高超的艺术构思,属于山水田园诗,诗人寄情山水,在山水风光的描写中抒发自己或闲适或愁苦的情怀,这正是山水田园诗“一切景语皆情语”的主要特点。有趣的是这首诗的景语中的“明月”,寄予的情感是:落第而归,仕途无望,暮霭旷野使诗人旧愁更添新愁。据此,我制定了以下三个教学目标:(一)知识目标:认识本课生字,能正确、流利、有感情地朗读课文,背诵课文。
本单元主要是学习情态动词can的肯定句、否定句、一般疑问句,肯定与否定回答,以及特殊疑问句的构成和用法;复习what弓!导的特殊疑问句。本单元主要围绕“加人俱乐部,谈论自己的能力”这一话题,设计了三个任务型活动:任务一是:自己的才艺表演,学习情态动词can的用法;任务二是:自己建立俱乐部,运用情态动词can谈论自己在某一方面的能力、喜好和意愿;任务三是:我能成功,主要是复习巩固谈论各自的爱好和特长的方法。单元知识系统(树)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.单元总体目标通过学习情态动词can的用法,使学生能够表达自己在某一方面所具备的才能;能够谈论自己的喜好与意愿;能够为自己成立的各种俱乐部制作海报;会写招聘广告。单元重难点一览重点 难点I.复习词汇:can,play,want2.词汇: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?
在这一单元中,学生要学会就有关人与物之间所属关系进行问答的句子。本单元大量引入有关运动的名词,要求学生彼此询问有无此类物品,并做出相应的回答。 同时学习表示建议的句型Let’s运动的形容词。 本单元所选用的话题来自学生所喜欢的生活片段,在教学中生生交流、师生交流会更融洽,会促进师生彼此间的了解,成功的教学还会让部分学生养成良好的运动习惯和收藏习惯。 教学目标 1) 语言知识:A.在询问对方是否有某物的对话中学会使用do和does引导的一般疑问句; B. 学会使用描述性的形容词来评价事物; C. 学会在对话中使用名词复数; D. 学会用祈使句来向对方提出建议. 2) 语言技能:A. 学会用祈使句询问某人是否有某物; B. 学会向他人提出建议的句子. 3) 学习策略:A.通过与同学讨论,做出猜测;
个性练习设计 阅读广告:在日常生活中,人们去买东西之前,一般要阅读广告,从广告中获取该商品的一些有用信息,包括价格、性能等。所以给学生提供有些商品的广告或让学生去商店去阅读一些商品的广告,从中获取商品的价格,即可以锻炼学生的阅读能力,又能提高实践能力。 Self Check 教学内容 Self Check(教材P42) 教学目标 知识与能力 复习词汇pant,sock,T-shirt,sweater,shoes,color,black,white,red,green,blue,big,short,long,数字10--31; 学习词汇Zig Zag,clothes,shop,yellow,ask,which;学会谈论服装的价格、颜色、大小和长短;学会填写价格标签。 过程与方法 运用Summarizing和Classifying的学习策略。在复习教学中,运用听写、绘画、互相询问调查与检测等手段,促使学生不断地使用所学内容,从而提高他们灵活运用知识的能力。 情感态度价值观 该部分学习内容主要是复习谈论服装的价格和颜色以及对服装的喜好,能引起学生的共鸣;通过购物的对话练习教学生学会购物时使用的礼貌用语和如何感谢人。
知识与能力复习词汇time,morning,breakfast,get up,g0 t0 bed,homework,clock,afternoon,lunch,run,watch TV,evening,dinner,eat,usually,o’clock,thirty,fifteen,take a shower,go t0 school等;引导学生复习、巩固“询问和谈论时间”的目标语言并运用所学知识安排自己的学习和课外活动。过程与方法运用Summarizing,Classifying和Comparing的学习策略。在复习教学中,运用听写、提问、对话演练与调查活动,促使学生不断地使用所学内容,从而提高他们灵活运用知识的能力。情感态度价值观本部分的主要内容是复习“日常作息时间”的询问和表达。通过互相询问或谈论自己或对方的作息时间安排和活动计划,培养学生良好的作息习惯和守时习惯。教学重、难点及教学突破重点复习词汇time,morning,breakfast,get up,g0 to bed,homework,clock,afternoon,lunch,run,watch TV,evening,dinner,eat,usually,o’clock,thirty,fifteen,take a shower,go to school等;引导学生复习、巩固“询问和谈论时间”的目标语言。
一、知识和能力目标本单元的核心教学内容是“认物”。用英语确认周围的常见事物比较符合英语初学者的实际情况。通过本单元教学,使学生运用所学句型,去熟悉周围事物的名称;教学生学会在实际生活中如何确认事物。通过辨认物体,学生学到一些生词,并巩固所学句型。二、过程和方法目标教师要尽量使学生对课文中出现的句型能够熟练上口,这样,学生才能顺利开展比较灵活的对话。教师可以用手势,表情,动作等示意,帮助学生听懂课堂教学内容,但在实际操作中应尽量避免“明知故问”的倾向,应该采用应用性原则;如:遮盖物品、显露局部、辨认物体、完形识别、图形辨认等方法。三、情感态度和价值观目标目标在学生学习过程中的作用至关重要,教师要帮助他们建立起一个切合自己实际的目标,通过渐进的学习以及一点一滴的进步,使他们逐步建立起成功感。成功越多,自信心就越强。
Step 3 (3b)First, tell the students when we talk about our future plans, we often use: I’m+verb+ing When we talk about what we must do, we use have to. Ask the students to fill in the blanks in 3b. The answers are: shopping, go to see, a test, I’m going, my family. Step 4 (3c)Let the students write an e-mail message to a friend. Say why you can’t visit next. Before the exercise, ask the students to give some possible answers and write them on the blackboard. So the students will feel easy to finish the writing exercise. After they finish it, Let them to correct it in groups first. Each group chooses theirs best one to read in front of the whole class. Step 5 ( planning a party )First read the conversation in the box together. Then ask the students to turn to page 88.Write down everything you have to do next week. Write in all the things you have to do . Ask the students to look at the list. Ask them “What day are you free?” This is when you can have your party. Step 6 (Self check 1 )Let the students to fill in the blanks with the words given. Change the forms of the words if possible. Then make their own sentences. The answers are: visit, playing, have to, study, comeStep 7 (Self check 2)Imagine you are Marie. Read the information and look at your schedule. Write replies to the invitation.
1. First, ... then, ... next, ... finally, ...首先,……然后,……接着,……最后,……这是英语中表达做某事的步骤的一种说法。如果步骤较多,还可以说:first-next-after that-later on-finally/at last通常你会听到说英语国家的人在说 first, next, then, finally 和后面的内容时,他们会做一些停顿。这样就能提前告诉听者接下来讲的是一系列的步骤。这一点在朗读和听力中应特别注意。2. how many, how much均为疑问词,同是“多少”,但用法不同。请看:how many修饰可数名词复数,how much修饰不可数名词。但在用法上,同学们常犯如下错误:1) [误] How many are there bananas on the table?[正] How many bananas are there on the table?[析] how many, how much 中的many,much是形容词,常修饰名词作定语,故后面跟名词。2) [误]How much tea are there on the table?[正]How much tea is there on the table?[析] how much修饰不可数名词时,谓语动词用单数。how many与how much的区别可简记为:前how many:问“多少”,复数名词后面跑;how much问“多少”,不可数名词单数好。前者答语用基数词,后者答语用数量关系。
“Go for it!” is based on “Task-Based Language Teaching”. It adheres to “The authenticity principle”, “The form-function principle”, “The task dependency principle” and “The principle of learning by doing”. These principles all accord with the demands of curriculum focus.In and of Grade Seven (II), “Go for it!”, students have learned “The Simple Past Tense”. And it appears again in of Grade Eight (I). teaches students more about how to talk about events in the past. In addition, it gives affirmative and negative statements in the past tense, such as the sentence patterns “Did you see …?” “Were there …?” “Did you go …?” As the first part of Unit 8, Section A opens with a picture presenting the last school trip in the aquarium and continues with several step-by-step practice activities, which are all good for students to master “The Simple Past Tense”. Doing well in Section A will help students integrate the new target language with that in Section B. Thus, they can describe the events in the past freely and foster their own ability of reflecting and practicing. II. Teaching ObjectivesTeaching objective is the beginning and aim of teaching activities. According to the overall goal of the English elementary course--- improve students' synthetic ability of language application, which should be based on the development of students’ “Language knowledge”, “Language skills”, “Character building”, “Learning strategies” and “Cross-cultural awareness”. The teaching objectives are described as follows(I). Knowledge objectivesi. Master the simple past tense of regular and irregular verbsii. Recite the new words and expressions about the last school trip in the aquarium, including their pronunciation and intonation
一、 教学内容Section A 1a----1c二、 教学目标1.学习词汇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、 教学准备 学生预习本单元所有的词汇多媒体课件 活动表 奖品四、 教学过程Pre-task1. Warming upEnjoy ourselves. Watch cartoon Cinderella. 看动画片段《灰姑娘》导如入本课话题和新词汇“chores”美丽善良的鬼姑娘因继母的嫉妒,每天得做所有的家务。片段的主题使学生联想到本课的话题。2. learn new words and phrasesLook! What is she / he dong? 看图学习动词词组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?理解目标语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.
Step Ⅶ Role play ( Work on 1b)1. First ask two students to read the dialogue to the class.Sa: How do you get to school?Sb: Well, I ride my bike to the subway station. Then I take the subway.2. Now work with a partner.Suppose you use two kinds of transportation to get to school \Hangzhou\Beijing... (bus, train, subway, walking, bike, etc.) Tell how you get there. You may use the phrases in 1a.3. Then ask different pairs of students to present their conversations to the class.Step ⅧListening1. Work on 2a(1) First ask students to read the list of information that Thomas wants to know.…where Nina lives.…how far from school she lives.…how long it takes to get to school.…how she gets to school.…what she thinks of the transportation.(2) Tell students what transportation and bus stop mean.bus stop 汽车站 transportation n. 运送;运输Then tell students we'll hear a recording. Please put a checkmark in front of each thing that Thomas wants to know.(3) Now play the recording for students.( Have students pay attention to the sample answer.) (4) Then correct the answers.
Teaching goals : 1. Words & phrases: babysit ,get back , fishing , rent , think about , decide(on) , tourist etc. 2. How to talk about future plans . 3. 现在进行时表示将来计划或行动. 4. 特殊疑问句(where , when , how long引导) 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. 用第三人称练习对话.
教学目标1.知识目标:(1)学习What are you going to be when you grow up?/How are you going to do that?句式。(2)学会用英语描述有关职业的表达法。2.能力目标:(1)能够谈论为实现理想所做出的打算和安排。(2)能够谈论未来自己与他人理想的职业及原因。(3)能用英语描述课余时间的活动安排,最终具备表达综合信息的能力。3.情感目标:新学期到来之际,让他们在学习、体育、饮食、特长、读书等方面制定计划,教育学生合理安排自己的课外生活,思考自己的理想职业及适合自己的职业。教学重点、难点本单元的重点为“be going to”表将来,want to be, what,where, when,how引导的特殊疑问句。难点是语言目标的实现。教材分析本单元以I am going to be a basketball player为话题,共设计了三部分的内容:一、Section A该部分有4个模块。第一模块围绕Do you think these jobs are interesting?这一话题展开思维(1a)、听力(1b)、口语(1c)训练;