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《奇偶性》內容選自人教版A版第一冊第三章第三節(jié)第二課時;函數奇偶性是研究函數的一個重要策略,因此奇偶性成為函數的重要性質之一,它的研究也為今后指對函數、冪函數、三角函數的性質等后續(xù)內容的深入起著鋪墊的作用.課程目標1、理解函數的奇偶性及其幾何意義;2、學會運用函數圖象理解和研究函數的性質;3、學會判斷函數的奇偶性.數學學科素養(yǎng)1.數學抽象:用數學語言表示函數奇偶性;2.邏輯推理:證明函數奇偶性;3.數學運算:運用函數奇偶性求參數;4.數據分析:利用圖像求奇偶函數;5.數學建模:在具體問題情境中,運用數形結合思想,利用奇偶性解決實際問題。重點:函數奇偶性概念的形成和函數奇偶性的判斷;難點:函數奇偶性概念的探究與理解.教學方法:以學生為主體,采用誘思探究式教學,精講多練。
學生已經學習了指數運算性質,有了這些知識作儲備,教科書通過利用指數運算性質,推導對數的運算性質,再學習利用對數的運算性質化簡求值。課程目標1、通過具體實例引入,推導對數的運算性質;2、熟練掌握對數的運算性質,學會化簡,計算.數學學科素養(yǎng)1.數學抽象:對數的運算性質;2.邏輯推理:換底公式的推導;3.數學運算:對數運算性質的應用;4.數學建模:在熟悉的實際情景中,模仿學過的數學建模過程解決問題.重點:對數的運算性質,換底公式,對數恒等式及其應用;難點:正確使用對數的運算性質和換底公式.教學方法:以學生為主體,采用誘思探究式教學,精講多練。教學工具:多媒體。一、 情景導入回顧指數性質:(1)aras=ar+s(a>0,r,s∈Q).(2)(ar)s= (a>0,r,s∈Q).(3)(ab)r= (a>0,b>0,r∈Q).那么對數有哪些性質?如 要求:讓學生自由發(fā)言,教師不做判斷。而是引導學生進一步觀察.研探.
《基本不等式》在人教A版高中數學第一冊第二章第2節(jié),本節(jié)課的內容是基本不等式的形式以及推導和證明過程。本章一直在研究不等式的相關問題,對于本節(jié)課的知識點有了很好的鋪墊作用。同時本節(jié)課的內容也是之后基本不等式應用的必要基礎。課程目標1.掌握基本不等式的形式以及推導過程,會用基本不等式解決簡單問題。2.經歷基本不等式的推導與證明過程,提升邏輯推理能力。3.在猜想論證的過程中,體會數學的嚴謹性。數學學科素養(yǎng)1.數學抽象:基本不等式的形式以及推導過程;2.邏輯推理:基本不等式的證明;3.數學運算:利用基本不等式求最值;4.數據分析:利用基本不等式解決實際問題;5.數學建模:利用函數的思想和基本不等式解決實際問題,提升學生的邏輯推理能力。重點:基本不等式的形成以及推導過程和利用基本不等式求最值;難點:基本不等式的推導以及證明過程.
例7 用描述法表示拋物線y=x2+1上的點構成的集合.【答案】見解析 【解析】 拋物線y=x2+1上的點構成的集合可表示為:{(x,y)|y=x2+1}.變式1.[變條件,變設問]本題中點的集合若改為“{x|y=x2+1}”,則集合中的元素是什么?【答案】見解析 【解析】集合{x|y=x2+1}的代表元素是x,且x∈R,所以{x|y=x2+1}中的元素是全體實數.變式2.[變條件,變設問]本題中點的集合若改為“{y|y=x2+1}”,則集合中的元素是什么?【答案】見解析 【解析】集合{ y| y=x2+1}的代表元素是y,滿足條件y=x2+1的y的取值范圍是y≥1,所以{ y| y=x2+1}={ y| y≥1},所以集合中的元素是大于等于1的全體實數.解題技巧(認識集合含義的2個步驟)一看代表元素,是數集還是點集,二看元素滿足什么條件即有什么公共特性。
本節(jié)主要內容是三角函數的誘導公式中的公式二至公式六,其推導過程中涉及到對稱變換,充分體現對稱變換思想在數學中的應用,在練習中加以應用,讓學生進一步體會 的任意性;綜合六組誘導公式總結出記憶誘導公式的口訣:“奇變偶不變,符號看象限”,了解從特殊到一般的數學思想的探究過程,培養(yǎng)學生用聯系、變化的辯證唯物主義觀點去分析問題的能力。誘導公式在三角函數化簡、求值中具有非常重要的工具作用,要求學生能熟練的掌握和應用。課程目標1.借助單位圓,推導出正弦、余弦第二、三、四、五、六組的誘導公式,能正確運用誘導公式將任意角的三角函數化為銳角的三角函數,并解決有關三角函數求值、化簡和恒等式證明問題2.通過公式的應用,了解未知到已知、復雜到簡單的轉化過程,培養(yǎng)學生的化歸思想,以及信息加工能力、運算推理能力、分析問題和解決問題的能力。
對數與指數是相通的,本節(jié)在已經學習指數的基礎上通過實例總結歸納對數的概念,通過對數的性質和恒等式解決一些與對數有關的問題.課程目標1、理解對數的概念以及對數的基本性質;2、掌握對數式與指數式的相互轉化;數學學科素養(yǎng)1.數學抽象:對數的概念;2.邏輯推理:推導對數性質;3.數學運算:用對數的基本性質與對數恒等式求值;4.數學建模:通過與指數式的比較,引出對數定義與性質.重點:對數式與指數式的互化以及對數性質;難點:推導對數性質.教學方法:以學生為主體,采用誘思探究式教學,精講多練。教學工具:多媒體。一、 情景導入已知中國的人口數y和年頭x滿足關系 中,若知年頭數則能算出相應的人口總數。反之,如果問“哪一年的人口數可達到18億,20億,30億......”,該如何解決?要求:讓學生自由發(fā)言,教師不做判斷。而是引導學生進一步觀察.研探.
函數在高中數學中占有很重要的比重,因而作為函數的第一節(jié)內容,主要從三個實例出發(fā),引出函數的概念.從而就函數概念的分析判斷函數,求定義域和函數值,再結合三要素判斷函數相等.課程目標1.理解函數的定義、函數的定義域、值域及對應法則。2.掌握判定函數和函數相等的方法。3.學會求函數的定義域與函數值。數學學科素養(yǎng)1.數學抽象:通過教材中四個實例總結函數定義;2.邏輯推理:相等函數的判斷;3.數學運算:求函數定義域和求函數值;4.數據分析:運用分離常數法和換元法求值域;5.數學建模:通過從實際問題中抽象概括出函數概念的活動,培養(yǎng)學生從“特殊到一般”的分析問題的能力,提高學生的抽象概括能力。重點:函數的概念,函數的三要素。難點:函數概念及符號y=f(x)的理解。
學生在初中學習了 ~ ,但是現實生活中隨處可見超出 ~ 范圍的角.例如體操中有“前空翻轉體 ”,且主動輪和被動輪的旋轉方向不一致.因此為了準確描述這些現象,本節(jié)課主要就旋轉度數和旋轉方向對角的概念進行推廣.課程目標1.了解任意角的概念.2.理解象限角的概念及終邊相同的角的含義.3.掌握判斷象限角及表示終邊相同的角的方法.數學學科素養(yǎng)1.數學抽象:理解任意角的概念,能區(qū)分各類角;2.邏輯推理:求區(qū)域角;3.數學運算:會判斷象限角及終邊相同的角.重點:理解象限角的概念及終邊相同的角的含義;難點:掌握判斷象限角及表示終邊相同的角的方法.教學方法:以學生為主體,采用誘思探究式教學,精講多練。教學工具:多媒體。一、 情景導入初中對角的定義是:射線OA繞端點O按逆時針方向旋轉一周回到起始位置,在這個過程中可以得到 ~ 范圍內的角.但是現實生活中隨處可見超出 ~ 范圍的角.例如體操中有“前空翻轉體 ”,且主動輪和被動輪的旋轉方向不一致.
二、教學設想1、研究考試大綱,加強學習。2、狠抓專項復習,夯實基礎。3、落實培優(yōu)補差工作,分層教學。4、落實問題教學,提高教學效率。
2. let the Ss complete the forms paragraph by paragraph. Purpose here is to help Ss to get the habit of reading a passage as a whole, and pay attention to the organization of the text, as a result the Ss will fully understand the whole passage.3. ask Ss to retell the passage with the help of the key words in the form.Since the Ss in the class are in different levels, so I let them to fill in the blank to understand the meaning of the words and phrases better. ( That’s all for the while-reading. Now let’s move to the fifth step.)Step V: Post-reading (10mins) ---DiscussionIn this part students are asked to discuss in groups and list Wang Kun’s and Wang Wei’s attitudes about the trip. After that, Ss are encouraged to express their attitudes with the whole class. Collect their answers and don’t forget to praise them even if their answers may not be perfect.In this activity, discussion provides a vivid and active learning environment for Ss to communicate in English with newly learned language items. (Finally it comes to the homework.)StepⅥ: Homework (1min)1. Ss are required to read the text again after class and figure out the meaning of some complex sentences.2. Do the exercises on P19; This can help Ss to consolidate what they’ve learnt and make preparation for the next lessonPart4. Blackboard design.(說板書設計)On the top, there is the title of this lesson. On the left, there are main ideas for each paragraph. On the right, there are some new words and expressions.Unit 3 Travel journalJourney down the MekongMain idea of each para.:Para1: deciding to take a great bike trip along the Mekong river.Para2: Different attitudes between Wang kun and Wang wei.
Textbook: Senior English for China (Book 4), by Liu Daoyi Time Allotment: 1 period (40 minutes)Date: March 20, 2014Teaching aids: blackboard, Multi-media, Power Point, chalk I. Text Analysis (教材分析)This unit is about body language, and the text selected in the reading part demonstrates the difference and similarity of body language in many parts of the world. Through learning this passage, students are required to raise their awareness of using body language in different parts of the world. As body language is closely related to our daily life, it is easy to arouse students’ interest in learning this text. Reading skills and speaking training are designed around the text.II. Teaching Objectives (教學目標)By the end of the lesson, students will be able to:1. Language Skill Objective(語言技能目標): develop reading ability (skimming and scanning)as well as speaking ability.2. Cultural Knowledge Objective(文化知識目標): know about the cultural differences of using body language.3. Affective Objective(情感目標): increase students’ awareness of using body language correctly in different cultures. III.Teaching Focuses and Difficulties(教學重點和難點)1. Teaching Focuses(教學重點): the difference and similarity of body language in many parts of the world.2. Teaching Difficulties(教學難點): develop students’ reading abilities of skimming and scanning and ask the students to show their opinions with fluent English.
(3)v. 給:提出;展現,顯現present sb. with sth. ; present sth. to sb. 把. . 交給;頒發(fā);授予present sth. (for sth. )/present sth. to sb. e. g. Om his birthday, his friends presented him a collection of stamps. 在他生日時,他的朋友們送給他一套郵票作為禮物。The sword was presented by the family to the museum. 這家人把寶劍捐贈給了博物館。The committee will present the final report to Parliament in June. 委員會將在六月向議會提交最后的報告。You need to present yourself better. 你需要更善于展現自己。It is essential that we present a united front. 至關重要的是我們要表現得更加團結。Step 4 ConsolidationT:Now that we have got a general idea of these words and phrases. Lets make up some sentences using them to master them. Suggested sentences:1. Your duties include typing letters and answering the telephone. 2. It is one of the greatest roles that she has played. 3. A large number of people have applied for the job. 4. The number of the panda is declining. 5. I'11 go there, even if I have to walk. 6. He came up to me to ask for a light. 7. The novel is about a family who can't communicate with each other. 8. He based his plan on interests of most people. 9. Why doesn't he make use of his singing talent?Step 5 Summary and homeworkT:Today we dealt with several new words and phrases. After class I hope that youcan read them again and again to keep them in mind. That's all for today. You aredismissed.
In this step, give students a few minutes to read the passage . While they are reading, I will write some key words of the text on the blackboard. Then ask students to retell the passage according to the key words.By retelling, students can improve their ability of language organization and have an overall understanding of the article.Step 4 Group discussionIn this step, students will be divided into groups of 4 to discussion the following question: What qualities make a great person?After their discussion, invite a few groups to make a report to the class.This group discussion can practice students’ oral English and cultivate their abilities of cooperation and communication.Step 5. HomeworkLet students write a short passage to introduce a great person he or she admires.The homework can consolidate the knowledge the students have learned and cultivate their writing ability. Part 6 Blackboard Design(板書設計)That’s all my teaching procedures. Finally, I’d like to say sth about part 6 blackboard design. On the top is the title. On the left, there will be some new words and expressions. In the middle of the blackboard, I will write some useful sentence structures so that the students can know clearly what they’ve learned and then try to master the knowledge.OK. That’s all for my presentation. Thank you for your attention.
Step 2 Pre-listeningAfter students finish their discussion, I will show a picture of Newton and ask them: Who is him? What is he famous for? Could you find out some words to describe him? Maybe students will answer that he is genius for his finding of theGravitation, making a great contribution to the progress of human being. At that time I will show another two pictures of Einstein and Hawking, letting students guess who they are and write down their idea about the Gravitation. For I have arranged them to search more information about the gravity before this class, Students have beenfamiliar with the topic and will not be afraid about this abstract conception, which is helpful for their listening.Step 3 While-listeningIn this step, students will be required to listen the material for three times. The first and listening is extensive listening and the second and third listening is intensive listening. In the first time, They are required to listen a material including Part 1 and Part 2 and choose the best summary of the listening text. After they choose the right answer, They also need work in group to explain what is wrong with the others. Then I will make a conclusion that we should pay attention to the first paragraph and last paragraph and some keys to get the main idea. By doing this, their capacity of generalization will have a great improvement.Before the second listening, I will ask students to scan the blank on the power point quickly and ask them to note down some key words .Then ask them to listen to the Part 1again and fill the first column of the chart. Maybe some students just show the ideas of these three scientists an still can’t catch their development of gravity. Therefore, I will ask them to listen to Part 2 again and fill in the rest. After finish the listening, I will give them ten minutes to discuss with their partner. I will also guidethem to improve their answers when they discuss with others.
Then I would ask them to think of a funny English or Chinese and tell it to partners. While telling stories, they can use expressions and some acting to help make the story funny. 5 minutes would be given to do this.Those stories they told there will be the material for their writing. Soletting them tell it at first is helpful. And they can make a difference between telling a funny story and writing it down. Generally speaking, it is difficult forstudents to write well because they don’t know what to write and how to write. Asking them to tell their own stories at first can help them come up with what to write.After their telling, I would invite someone to share his/her story with all of us and I would write it down on the blackboard.This example story would be used as a sample to illustrate the format of funny story. Different from a story from teacher or textbook, a story from students can obviously become a interesting material to draw students’ attention.Then I would ask the whole class to put this story into several parts. It might be a little bit difficult for them. So I would ask them to find out whether all the sentences are necessary. After delete some sentences, there are 6 sentences left behind. Then they can easily put them into three parts. After interaction with students, I would teach them the right terms for each part and conclude the format of funny story.This step is the key and difficult point in my lesson. So I mainly usetask-based teaching method in this part and the task for students was divided into several stages. With the separated difficult level, students can find there are usually three parts in writing. They can also learn to write without the unnecessary parts in the process of analyzing. And then I wouldn’t rush to tell them the right terms to them directly. Instead, I would ask them to name them by their own. A confused mind is better for acquiring knowledge.While-writing:Then I would give students 7 minutes to write down this story, without other requirements.With all the preparations in pre-writing, students’ difficulties were cleared. So it would be much easier for them to write down the story within 7 minutes. There are no other requirements because students’ first writing is actually a drafting. It would be revise and edit several times later. Writing, as a skill
Good afternoon, teachers, It’s my great pleasure to be here sharing my lesson with you.The content of my lesson is Senior English Book 3 Unit 5 Canada —— “The true North”.I’ll be ready to begin this lesson from five parts. Analysis of the teaching material,the teaching methods,the studying methods, the teaching procedure,and Blackboard design.First, let me talk about the teaching material.Part 1 Teaching Material:This unit is about the introduction of Canada. By studying of this unit,we’ll enable the students to learn the geography, population, main cities, and natural beauty, natural resources of Canada. Through the training of the unit, it also requires students to learn some Language skills such as the expressions of position and emotions.So it plays an important part in the English teaching in this book.After studying the teaching material and analyzing the rule of children’s growing of mind,I think the teaching aims are the followings:1.Knowledge objects:(1) make the students learn some new words and phrases(2) make the students understand the content of the lesson.2.Ability objects:(1)To develop the Ss’ abilities of listening, speaking, reading and writing. Especially reading and speaking ability.(2) learn to talk about the characters of Canada in English(3)To train the Ss’ ability of working in pairs.3.Emotion objects:(1)Enable students to understand the characters of Canada..(2)Stimulate Ss to work hard to make China stronger.Part 2 Teaching Methods:I think helping students learn to master new words and phrases and improve the students’ reading and speaking ability is import and the difficult.According to the analysis of the teaching material and the import points and the difficult points,I will use the following teaching methods : question-guiding approach; fast-reading and careful reading; multi-media teaching methods; discussion
Good morning, distinguished judges:It’s my honor to talk about my teaching ideas with you. Today my topic is Women of Achievement. My presentation consists of six parts: the analysis of teaching material and student, teaching aims, key and difficult points, teaching and studying method, teaching procedures and blackboard design.First, let’s focus on the analysis of teaching material. This lesson is from New Senior English for China Student’s Book 4 Unit 1, the reading part. The main topic of the passage is the introduction of a student of Africanwildlife. After this lesson, the students will learn more information about her studying chimps in Africa, and their reading and speaking abilities can be developed as well.The next part is the analysis of students. My students are in senior high students. They have learnt English for many years, they’ve known many words and sentences, but their speaking and reading abilities are still not very good. So I will practice their speaking and reading abilities through different exercises.According to the New Standard Curriculum and the present situation, I set the teaching aims as follows: firstly, knowledge aims. Students can grasp some new words, such as worthwhile, move off. Moreover, students can understand the content of the passage and get familiar with the topic of studying chimps in wildlife. Secondly, ability aims. Students can use reading strategies such as skimming and scanning in reading process. Thirdly, emotional aims. Students can have the awareness of protecting animals and care about animals.Based on the above analysis, the key point of this lesson is to get the main idea and the detailed information from the passage; the difficult point is to talk about the wildlife protection and use reading strategies.
Teaching plan for Unit 1 book3Good morning, teachers. It’s my great pleasure to be here because I can share my lesson with you and I can learn a lot from it. I’ll begin my lesson from the following four parts, the teaching material, the teaching methods, the studying methods and the teaching procedure.Firstly, let me talk about the teaching material. The content of my lesson is the reading passage festivals and celebrations of Unit 1 Festivals around the world. This passage is about festivals and celebrations. By studying this passage, we’ll enable the students to know that festivals exit everywhere, and many of festivals in different countries celebrate similar ideas. As we all know, the reading passage is the center of each unit. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.After studying the teaching material, I think the teaching aims are as the followings:1. Knowledge aims:(1) The Ss can master the usage of the important words andexpressions.(2)The Ss can use the __________________ (grammar) in the proper situation.Make students know about the festivals all over the world and the detail of the festivals, such as origin, content, and the date of the holiday festivals.2. Ability aims:(1) Students can talk about festivals and celebrations in English(2) To improve the student’s reading ability, especially their skimming and scanning ability.3. Emotion aims:Make the Ss know about the foreign festivals, and respect other countries’ custom.Next, let’s come to the important points and the difficult points.The important point is how to make the Ss understand the text better and the difficult point is how can they talk about it. secondly, Teaching Methods:1. task-based Language Teaching2. Computer assisted language teaching.3. question-and–answer methodThirdly, Studying Methods:
The oldest and the most popular park in the worldenjoy the exciting activities thereget close to the life-size cartoon characters like Mickey Mouse and Donald Duck Step 3 Pre-reading1.What do you suppose a theme park is ?2.What do you think you can see in a theme park?(1.It is a kind of amusement park which has a certain theme – that the whole park is based on. 2.buildings, castles, statues, rare animals and birds, and so on.) Step 4 Reading ----- Theme Parks –---- Fun and More Than Fun1.Predict : Read the title and the pictures on P. 34 and PredictWhat is the meaning of the title “Theme Park – Fun and more than fun”?(The title means that theme parks are fun to visit, but that they can also be educational and can offer useful information.)2.Skimming Fast read and answer:What activities can we take in a theme park?Amusement park: Bumper car Merry-go-round slide bungee jumping Free-fall rides Horror films Pirate ship Ferris wheel roller coaster3.Scanning Read again and you will find various theme parks are mentioned in the passage . Then what are they ?Theme parks: Sports theme park History theme park Culture theme park Marine or Ocean theme Park Future park Science theme park Disneyland4.Careful reading and find the main idea of each paragraph:THEME PARKS---- entertaining/ educationalPara.1 Traditional parks are places to go for relaxation and to have time away from our busy lives.Para.2 Theme parks are different They’re large and full of things to do, see and buy.Para.3 Theme parks are built around a single idea or theme. One example is a sports park.Para.4 Another kind of theme park is historical more and cultural and can be educational.Para.5 Disneylandwas the first theme park. It is based on the fantasy life and characters of Disney’s films.Para.6 Some examples of educational theme parks include sea world parks and science parks.