学习目标1.掌握两个一次函数图像的应用;(重点)2.能利用函数图象解决实际问题。(难点)教学过程一、情景导入在一次蜡烛燃烧实验中,甲、乙两根蜡烛燃烧时剩余部分的高度y(厘米)与燃烧时间x(小时)之间的关系如图所示.请你根据图象所提供的信息回答下列问题:甲、乙两根蜡烛燃烧前的高度分别是 厘米、 厘米,从点燃到燃尽所用的时间分别是 小时、 小时.你会解答上面的问题吗?学完本解知识,相信你能很快得出答案。二、 合作探究探究点一:两个一次函数的应用(2015?日照模拟)自来水公司有甲、乙两个蓄水池,现将甲池的中水匀速注入乙池,甲、乙两个蓄水池中水的深度y(米)与注水时间x(时)之间的函数图象如下所示,结合图象回答下列问题.(1)分别求出甲、乙两个蓄水池中水的深度y与注水时间x之间的函数表达式;(2)求注入多长时间甲、乙两个蓄水池水的深度相同;(3)求注入多长时间甲、乙两个蓄水的池蓄水量相同;
解:设正比例函数的表达式为y1=k1x,一次函数的表达式为y2=k2x+b.∵点A(4,3)是它们的交点,∴代入上述表达式中,得3=4k1,3=4k2+b.∴k1=34,即正比例函数的表达式为y=34x.∵OA=32+42=5,且OA=2OB,∴OB=52.∵点B在y轴的负半轴上,∴B点的坐标为(0,-52).又∵点B在一次函数y2=k2x+b的图象上,∴-52=b,代入3=4k2+b中,得k2=118.∴一次函数的表达式为y2=118x-52.方法总结:根据图象确定一次函数的表达式的方法:从图象上选取两个已知点的坐标,然后运用待定系数法将两点的横、纵坐标代入所设表达式中求出待定系数,从而求出函数的表达式.【类型三】 根据实际问题确定一次函数的表达式某商店售货时,在进价的基础上加一定利润,其数量x与售价y的关系如下表所示,请你根据表中所提供的信息,列出售价y(元)与数量x(千克)的函数关系式,并求出当数量是2.5千克时的售价.
四个不同类型的问题由浅入深,学生能从不同角度掌握求一次函数的方法.对于问题4,教师可引导学生分析,并教学生要学会画图,利用图象分析问题,体会数形结合方法的重要性.学生若出现解题格式不规范的情况,教师应纠正并给予示范,训练学生规范答题的习惯.第五环节课时小结内容:总结本课知识与方法1.本节课主要学习了怎样确定一次函数的表达式,在确定一次函数的表达式时可以用待定系数法,即先设出解析式,再根据题目条件(根据图象、表格或具体问题)求出 , 的值,从而确定函数解析式。其步骤如下:(1)设函数表达式;(2)根据已知条件列出有关k,b的方程;(3)解方程,求k,b;4.把k,b代回表达式中,写出表达式.2.本节课用到的主要的数学思想方法:数形结合、方程的思想.目的:引导学生小结本课的知识及数学方法,使知识系统化.第六环节作业布置习题4.5:1,2,3,4目的:进一步巩固当天所学知识。教师也可根据学生情况适当增减,但难度不应过大.
(4)从平均分看,两队的平均分相同,实力大体相当;从折线的走势看,甲队比赛成绩呈上升趋势,而乙队比赛成绩呈下降趋势;从获胜场数看,甲队胜三场,乙队胜两场,甲队成绩较好;从方差看,甲队比赛成绩比乙队比赛成绩波动小,甲队成绩较稳定.综上所述,选派甲队参赛更能取得好成绩.方法总结:本题是反映数据集中程度与离散程度的综合题.从图形中得到两队的成绩,然后从平均数、方差的角度来考虑,在平均数相同的情况下,方差越小的越稳定.三、板书设计数据的离散程度极差:一组数据中最大数据与最小数据的差方差:各个数据与平均数差的平方的平均数 s2=1n[(x1-x)2+(x2-x)2+…+(xn-x)2]标准差:方差的算术平方根 公式:s=s2经历表示数据离散程度的几个量的探索过程,通过实例体会用样本估计总体的统计思想,培养学生的数学应用能力.通过小组合作,培养学生的合作意识;通过解决实际问题,让学生体会数学与生活的密切联系.
探究点三:正比例函数的性质已知正比例函数y=-kx的图象经过一、三象限,P1(x1,y1)、P2(x2,y2)、P3(x3,y3)三点在函数y=(k-2)x的图象上,且x1>x3>x2,则y1,y2,y3的大小关系为()A.y1>y3>y2 B.y1>y2>y3C.y1y2>y1解析:由y=-kx的图象经过一、三象限,可知-k>0即kx3>x2得y10时,y随x的增大而增大;k<0时,y随x的增大而减小.三、板书设计1.函数与图象之间是一一对应的关系;2.作一个函数的图象的一般步骤:列表,描点,连线;3.正比例函数的图象的性质:正比例函数的图象是一条经过原点的直线.经历函数图象的作图过程,初步了解作函数图象的一般步骤:列表、描点、连线.已知函数的表达式作函数的图象,培养学生数形结合的意识和能力.理解一次函数的表达式与图象之间的一一对应关系.
四、教学设计反思这节内容是学生利用数形结合的思想去研究正比例函数的图象,对函数与图象的对应关系有点陌生.在教学过程中教师应通过情境创设激发学生的学习兴趣,对函数与图象的对应关系应让学生动手去实践,去发现,对正比例函数的图象是一条直线应让学生自己得出.在得出结论之后,让学生能运用“两点确定一条直线”,很快作出正比例函数的图象.在巩固练习活动中,鼓励学生积极思考,提高学生解决实际问题的能力.当然,根据学生状况,教学设计也应做出相应的调整。如第一环节:创设情境 引入课题,固然可以激发学生兴趣,但也可能容易让学生关注代数表达式的寻求,甚至对部分学生形成一定的认知障碍,因此该环节也可以直接开门见山,直入主题,如提出问题:正比例函数的代数形式是y=kx,那么,一个正比例函数对应的图形具有什么特征呢?
师小结:本篇习作开篇概述原作内容,抓住要点,简明扼要。感想的内容,先扣住深沉的父爱,表达自己对傅雷的敬意,然后赞美现实生活中父爱的伟大。思路清晰,情感真挚。【设计意图】以《傅雷家书》读后感写作为例,指导学生如何写读后感。重点指导“点引议联结”的基本结构,让学生写作有章可循。四、尝试写读后感1.写作内容师:同学们已经阅读了《傅雷家书》,请大家回顾内容,自拟题目,按照今天讲的写读后感的方法,先列出写作提纲,再写成作文,不少于600字。2.能力提升用已学的读后感知识,修改自己的作文。并反思所写读后感是否有以下不足:(1)以“引”代“感”。读后感,顾名思义,主要是写“感”,引述是为写“感”服务的,但有些同学往往忘记了这一条,本末倒置,大量抄录或复述原文,结果犯了以“引”代“感”、代“联”的毛病。
片段三:大殿正中是一个约两米高的朱漆方台,上面安放着金漆雕龙宝座,背后是雕龙屏。方台两旁有六根高大的蟠龙金柱,每根大柱上盘绕着矫健的金龙。仰望殿顶,中央藻井有一条巨大的雕金蟠龙。从龙口里垂下一颗银白色大圆珠,周围环绕着六颗小珠,龙头、宝珠正对着下面的宝座。梁枋间彩画绚丽,有双龙戏珠、单龙翔舞,有行龙、升龙、降龙,多态多姿,龙身周围还衬托着流云火焰。——黄传惕《故宫博物院》 (1)找出三个片段中关于说明顺序的标志性词语。预设 片段一:立春过后、再过两个月、不久、于是转入、到了秋天、准备迎接。片段二:首先、此外、还可以、也可以。片段三:正中、上面、背后、两旁、殿顶、中央、周围、下面、周围。(2)学生归纳结论。预设 正确使用标志性的词语,能使对说明对象及内容的介绍更清楚。(3)小组讨论:以时间、空间或逻辑为序的说明语段,通常使用哪些标志性的词语?预设 时间顺序的说明语段一般要运用表示时间或先后的标志性词语;空间顺序的说明语段要运用表示方位的词语,如“东、西、南、北、里、外、左、右”等;逻辑顺序的说明语段可使用“首先”“其次”“再次”等表示由主到次的词语。
讨论交流:正是靠着这种民族精神,我国建成了一个个大油田。到1965年,中国的石油基本实现自给。5、补充资料1964年10月16日和1967年6月17日,中国西北罗布泊大漠中,升起了蘑菇状的烟云。我国相继成功爆炸了第一颗原子弹和第一颗氢弹,成为继美国、苏联、英国之后第四个同时拥有原子弹和核弹的国家。中国从此拥有了保家卫国、捍卫和平的核力量。交流邓稼先故事1950年8月,邓稼先在美国获得博士学位九天后,便谢绝了恩师和同校好友的挽留,毅然决定回国。同年10月,邓稼先来到中国科学院近代物理研究所任研究员。在北京外事部门的招待会上,有人问他带了什么回来。他说:“带了几双眼下中国还不能生产的尼龙袜子送给父亲,还带了一脑袋关于原子核的知识。”此后的八年间,他进行了中国原子核理论的研究。
说教材本文是部编版八年级语文下册第四单元的一篇课文,也是一篇幽默风趣的演讲稿。文章介绍了王选先生一生的重要抉择和贡献,并将自己的一生的抉择与祖国的发展密切结合起来。说学情学生对王选先生有一定的了解,在介绍他一生重要抉择时学生更容易理解王选先生爱岗敬业,勤奋工作的精神并深受鼓舞。教学目标1、识记王选极其重大贡献2、识记课文主要词语3、通读全文,了解王选一生中经历的几次重大选择。4、学习王选先生专注于科研、无私奉献的精神教学重点王选一生中经历的几次重大选择教学难点从这几次选择中分析王选先生的精神教学方法研读法、讨论法
Don’t fight. =You can’t fight. (板书,教读)教师把这些句子板书在黑板上,并请学生大声整齐地读祈使句和“can’t”句型,并让学生注意两种句型表达形式的不同和转换,“Don’t …=You can’t…”;并对学生说:These are our school rules. (板书,教读) You can’t break the school rules. Don’t break the school rules.(板书,教读)步骤3 :Practicea. T: Now, each of the students is breaking one of these rules.Please finish 1a.学生看图,完成1a的内容,检查答案并大声朗读校规。b. 听录音,完成1b,选出四位学生都违反了哪条校规;听之前,学生要读会英文名。c. 请两位学生朗读1c部分的句型;要求学生两人一组对话表演,SA扮演外校转来新生,SB告知本校校规。(学生可经过讨论,多说出他们想到的校规,不必只限于书上;教师应给予帮助)2) 第二课时(2a~4)步骤1 :warming up of revisionT: What are the rules at your school?学生使用“can”或祈使句表达各条校规;其中老师可引出“eat in the cafeteria outside”的表达。步骤2 :Practicea.T: Christina is an exchange student. She doesn’t know the rules. Let’s listen, what activities they’re talking about?学生听第一遍时,完成2a;第二遍时,完成2b;b. 请学生领读2c部分,看着2a完成的表格,理解2c活动的要求;分成小组针对2a进行问答;
说明:在帮Li Lei提建议的同时,教育学生如何学好英语。第三课时教学目标1. 语言目标:a) 词汇: Original, in style, haircut, the same as.b) 语言结构:My friend wears the same clothes and has the same haircut as I do.2. 能力目标:大多数学生能够谈论自己喜欢哪种服装,提高查找信息的能力。3. 情感目标:学会如何与朋友相处,要有自己对时尚的看法。教学重点掌握一些重要词汇。教学难点学会谈论问题,并能提出书面建议。◆教学突破首先针对Erin的问题,提出个人的建议,模仿2c部分的对话展开双人交际Pair-work;听老师诵读3a部分的信件,并找出LEFT OUT的问题所在;学生完成3b部分的内容,给Left Out提出书面的建议;学以口头形式提出自己目前存在的某个问题,讲给大家听,让同学们给自己提出一个建议,并作笔录;学生两、三个人分成一组,随意性地进行口语交际,谈论P14的第4部分的某个问题,相互交换意见。
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教学步骤、时间 教师活动 学生活动 媒体应用Step 1Free talk 3’ Ask some questions like:Who’s on duty today?What’s the weather like? Answer and talk about something.让同学们回答下列问题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此时教师用汉语问:“在周末期间问你干了什么?这句话用英语这么回答?Let the students guess.At last the teacher give them right answer3. What did you do over the weekend?(板书、学习)
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?
三、教学建议第一课时: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.
单元整体说明(一)单元教材分析本单元的核心话题是描述动物和表达个人喜好,以及句式why do you like…? Because…。这也是本单元的教学重点。通过本单元的学习,学生应能较流利地运用所学词汇和句型描述动物,表达个人喜好。(二)单元知识结构1.词汇动物名称 tiger, elephant, koala, dolphin, etc.词汇描述性形容词: smart, cute, ugly, clever, shy, etc.国家名: 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)单元整体目标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)单元教学重难点一览(五)单元学情分析学生此前已经学过由why, where, what 引导的特殊疑问句句型,具有了学习本单元知识的认知前提。形形色色的动物能激发学生的好奇心,产生了解它们的欲望,这有利于本单元知识的教学和学生学习兴趣的培养。
区分宾语从句、定于从句和状语从句宾语从句和状语从句,都叫做主从复合句。宾语从句主要是中考必考的,是初中阶段必掌握的从句,宾语从句主要是掌握三要素,所谓宾语从句,就是宾语在主从复合句当中充当宾语的一个句子,叫做宾语从句。主句的谓语动词是及物动词,后面如果是词或者是短语的话,是简单句,如果是句子的话,肯定是宾语从句。I know that he good at English.就是宾语从句,三要素,一要素是要注意连词,连词一共学了三类连词,一类连词是that口语当中可以省略,就像刚才说的那一句,I hear he is good at English.还有疑问代词、疑问副词,how where when,疑问代词、疑问副词。还有一类连词weather是否的意思,不是状语从句当中的如果,这一定要和如果区分开,这是是否。I don't know if he interested at English。宾语从句要注意if是连词。第二要素是语序,要用陈述举语序。比如说你家有几口人,我们都说How many people are there in you family?但是这是简单句,一旦说成宾语从句,你可以告诉我你家有几口人吗?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!欢迎你!请做一下自我介绍。认识一下你的新同学。”通常在课上老师会这样说。你会说什么呢?“噢,不!”与陌生人谈话太困难了。但是这也很有意思,并且你还能交到朋友。你该怎么做呢?闲聊。闲聊指得是礼貌的对话。“王楠是一个很棒的乒乓球运动员,不是吗?”“我希望自己能认识她,你呢?“今年的雨水很多,不是吗?”反意疑问句是一种礼貌用语。为了使得谈话成功,你应该知道怎样去进行闲聊。你还应该知道与不同的人该谈论什么样的话题。认真的学习这个单元吧,下次在英语课上,你会发现与大家展开谈话是一件很容易的事情,不信我们来试试。)
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.