-
新人教版高中英語必修3Unit 5 the value of money-Reading For Writing教學設計一
【參考范文】Narrator：(Henry is smiling as he leaves the restaurant. As he is walking down the street, he sees a sign for a place that cuts hair. He decides to get it cut. )H＝Henry；B＝Barber；R＝rude manH：Good afternoon, I'd like to get a cut, if I may. (The barber looks at Henry's hair and continues cutting another man's hair. )Er, I'd really like a haircut. As you can see it's much too long. B：(in a rude manner) Yes, I can see that. Indeed, I can. H：Fine, well I'll have a seat then. (He sits in one of the barber's chairs. The barber turns to look at Henry. )B：It's quite expensive here, you know！Are you sure you can afford it?H：Yes. I think so. (In comes the rude man. )R：Hey you there. I need a haircut quickly. Can you do me straightaway?B：All right, then, get in the chair and I'll see what I can do. R：Thank you. (sits down in one of the barber's chairs)H：Excuse me, but I was here first. Aren't you going to do my hair first?B：This man's in a hurry. H：Well so am I！I insist that you cut my hair first. B：OK, but I'll have to be quick. This gentleman is waiting. H：Thank you. (They both become quiet. After his hair is cut, the barber tells Henry how much he must pay. Henry shows the barber the bank note. )B：Why, Mr . . . (looks shocked)H：Adams. Henry Adams. I'm sorry, I don't have any change. R：You're that Mr Adams! Well，I'm glad I waited or I might never have known it was you. B：Why, Mr Adams, please don't worry！(wearing a big smile) Nothing to worry about！Nothing at all!Please come back any time, even if you only need too little hairs cut！It will be my honour to serve you!
新人教版高中英語必修3Unit 1 Festivals and celebrations-Discovering Useful Structure教學設計
4.That was an experience that frightened everyone. →That was _____________________. 答案：1. taking 2. being discussed 3. in the reading room 4. a frightening experienceStep 6 The meaning and function of V-ing as the predicative動詞-ing形式作表語，它通常位于系動詞后面，用以說明主語“是什么”或“怎么樣”一種表示主語的特質(zhì)、特征和狀態(tài), 其作用相當于形容詞; 另一種具體說明主語的內(nèi)容, 即主語等同于表語, 兩者可互換。The music they are playing sounds so exciting. 他們演奏的音樂聽起來令人激動。The result is disappointing. 結果令人失望。Our job is playing all kinds of music. 我們的工作就是演奏各種音樂。Seeing is believing. 眼見為實。Step 7 Practice1. It is ________(amaze) that the boy is able to solve the problem so quickly.2. Buying a car is simply _______(waste) money. 3. Please stop making the noise—it’s getting ________(annoy). 4. complete the passage with the appropriate -ing form.La Tomatina is a festival that takes place in the Spanish town Bunol every August. I think many food festivals are __________ because people are just eating. however, this festival is _________ because people don't actually eat the tomatoes. Instead, they throw them at each other! the number of people ________ part in this tomato fight, can reach up to 20,000, and it is a very __________ fight that lasts for a whole hour. The _______ thing is how clean Bunol is after the tomatoes are washed away after the fight. this is because the juice form tomatoes is really good for making surfaces clean!答案：1. amazing 2. wasting 3. annoying4. boring interesting taking exciting amazing
新人教版高中英語必修3Unit 1 Festivals and Celebrations-Reading and Thinking教學設計
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.
新人教版高中英語必修3Unit 1 Festivals and Celebrations-Listening &Speaking＆Talking教學設計
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.
新人教版高中英語必修3Unit 1 Festivals and Celebrations-Reading for Writing教學設計一
The topic of this part is “Write about your festival experience”.During the Listening and Speaking and Talking, students are just asked to say out their festival experiences such as the Spring Festival, Mid-autumn Day, but this part students will be asked to write down their own festival experiences. During the reading part, it introduces the Naadam Festival in Inner Mongolia Autonomous Region, which can give students a good example to imitate. Students not only learn the festival, but touch and feel the Inner Mongolian’s character, the spirit and cultural atmosphere, which can help students form the cultural awareness and learn to enjoy and value the diversity of Chinese culture.Concretely, the dairy tells the experience that the author spent the Naadam Festival in Inner Mongolia Autonomous Region with his/her friend. The structure is clear. In the opening paragraph, it introduces the topic of the Naadam Festival and the whole feeling. Then it introduces the items of the festival like the ceremony, wrestling and horse racing. Finally, it summarizes this experience. Because this part is a travel journal, we must guide students pay more attention to these details: 1. use the first person. 2. use the past tense to tell the past thing and use the present or future tense to describe the scenery. 3. use the timeline to tell the development. 4. be careful for the author’s psychology, emotion and feeling, etc.1. Read quickly to get main idea; read carefully to get the detailed information about Naadam Festival.2. Learn the structure of the reading article and language.3. Write an article about a festival experience4. Learn to use the psychology, emotions and feeling in the writing.1. Write an article about a festival experience.2. Use the structure of the reading article and language.
新人教版高中英語必修3Unit 3 Diverse Cultures-Discovering Useful Structure教學設計
Step 4 PracticeRead the conversation. Find out which words have been left out.Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Any recommendations for places to visit?Linlin: Wow, cool! Guizhou is a province with a lot of cultural diversity. Places to visit...well, definitely the Huangguoshu Waterfall first.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have. Why ?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King.Justin: Really? Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages. You’ll find Chinese culture is much more diverse than you thought.Justin:Sounds great, thanks.Answers:Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Do you have any recommendations for places to visit?Linlin: Wow, that’s cool! Guizhou is a province with a lot of cultural diversity. What are some places to visit in Guizhou ? Well, definitely the Huangguoshu Waterfall is the first place to visit in Guizhou Province.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have heard of the Chinese novel Journey to the West . Why do you ask if I have heard of the Chinese novel Journey to the West?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King from Journey to the West.Justin: That’s really true? It’s Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages on your trip to Guizhou Province. You’ll find Chinese culture is much more diverse than you thought it was.Justin:This all sounds great, thanks.
人教版高中地理選修3第五章第一節(jié)設計旅游活動教案
點撥：旅游地旅游資源的特色不同，可以安排的旅游活動是不一樣的，直接影響對旅游者的吸引力。因此，出游前首先就需要收集旅游地旅游資源的類型、主要游覽景區(qū)、景點的特色等情況。旅游地的時空可達性直接關系到旅游者從出發(fā)地到旅游地，然后再返回出發(fā)地的費用和時間。一般來說，居住地與旅游地之間的空間距離過大，會使旅行的時間過長、旅行費用過高，經(jīng)濟距離增加，相應地降低了旅游者的出游能力。而居住地與旅游地相距遙遠，也意味著兩地之間巨大的環(huán)境差異，這會增加對游客的吸引力。旅游服務設施和條件，如旅游交通方式及工具、旅游住宿條件、旅游餐飲的種類和標準、導游服務、旅行費用等信息也都在一定程度上影響著游客的選擇。圖5．3西藏布達拉宮和圖5．4云南香格里拉兩幅圖片顯示了西藏布達拉宮、云南香格里拉與眾不同的優(yōu)美景觀，吸引了眾多的游客前來觀光旅游，成為近年來國內(nèi)旅游的熱點。
新人教版高中英語選修1Unit 2 Looking into the Future教案
【設計意圖】以“新科技是一把雙刃劍”為主題開展討論活動。這個話題比較大，所以給了一定的限制，首先需要以智能家居為例來闡述科技發(fā)展對未來生活產(chǎn)生的影響，然后列舉其優(yōu)點和缺點，最后就以上現(xiàn)象發(fā)表自己的觀點。這個活動是對整個文本的創(chuàng)意性總結與意義的升華，留給學生一定的想象空間，學生借此機會可以運用文本內(nèi)容和語言表達自己對科技發(fā)展的看法和態(tài)度。Assignments:1. Finish Exercise 4 on Page 15 of the textbook.A smart home is one that integrated computers into the structure of the building itself. In this way, many of the things that we now do ourselves become automatic. For example, the smart home could control the air conditioning and lights so that you would no longer have to turn switches on and off, and so that your home would be more energy-efficient. The smart home could also monitor itself to make sure that everything is working as it should, and send you warnings if there is a problem. Such smart homes could even be programmed to detect your health problems, and then give you reasonable advice as to the food you should eat or if you should see a doctor. So, in a sense, smart homes will lead us to living smarter lives.2.Create a smart function for your home, and share your creation in the next period.
新人教版高中英語選修3Unit 2 Healthy Lifestyle教案
Activity 4: Figuring out the structure and the writing purpose 本活動為實現(xiàn)課時目標2。 1.Read Paragraph 6 and think about its main idea and the writer’s writing purpose. Q1: If you were the author, how would you end your article? “For young people, there is plenty of time to change bad habits. However, there is no “magic pill” or delete button that will help you; you have to think about your bad habits and decide on some changes. You have the power to build a happy and healthy life full of good habits!” Q2: What is Paragraph 6 mainly about? (Possible answer: to appeal to young people including teenagers to change bad habits and live a happy and healthy life.) 2.Think about the writer’s writing purpose and share opinions. Q1: What is the writing purpose? Work in pairs and figure it out. (Possible answer: On the one hand, the passage is written to help teenagers change their bad habits and live a healthy lifestyle. On the other hand, it provides us with a scientific way to identify and analyse our problems objectively, thus strengthening our resolve to tackle the seemingly common yet tough problems in our lives.) 【設計意圖】 步驟1旨在預測和驗證文章最后一段主要內(nèi)容，梳理完整的語篇結構，步驟2旨在思考和討論作者的寫作目的。教師也可根據(jù)學生課堂反應情況融入對語篇人稱多次轉換的思考。
新人教版高中英語選修1Unit 3 Fascinating Parks教案
2. Explore the significance of the establishment of Sarek National Park.Q1: Which event is the most important one in the park’s history?Ss: The establishment of Sarek national park in 1909 is the most important one.Q2: Is it worth making a place like Sarek a national park? Give your reasons.Ss: Yes. In this way, the place can be kept in its natural state and natural beauties and other rare and valuable resources can be preserved instead of being destroyed by endless exploitation driven by profits.Q3: How does the writer organize his introduction to the history of Sarek?Ss: The writer organizes his introduction in the sequence of time, using time indicators such as “used to”, “around 9,000 years ago”, “soon after”, “following the reindeer”, and “in 1909”.Q4: What is the feature of the language used to introduce the history of the park?Ss: The introduction to the park is to provide facts, using time indicators to organize the events. Sentences starts with “third person” and passive voice is used more often, feeling objective.【設計意圖】學生尋找和梳理公園歷史上的重要事件，體會人與自然的和諧關系，評鑒介紹性語言的特點?！竞诵乃仞B(yǎng)提升點】發(fā)展自主提取、梳理文本信息能力，訓練邏輯思維和高階思維。Activity 3: Highlighting the secret of the text
新人教版高中英語選修1Unit 1 People of Achievement教案
【設計意圖】 基于上述分析，學生總結新聞故事語篇類型的特征，即標題的省略性、導語的概括性、數(shù)據(jù)的支撐性和引語的重要性。在此過程中，學生對新聞故事語篇類型有了更深層次的了解，對于學生閱讀和寫作具有重要意義。Activity 7: Discussing to make a writing outline.本活動為實現(xiàn)課時目標3。1.Discuss and make an outline.Ask students to discuss in groups of four and make their own writing outline.To celebrate the 70th anniversary of the People’s Republic of China, our school newspaper starts a new column about “People of Achievement”. You plan to write a news story about one of the winners of the Medal of the Republic in 2019, including Yu Min, Shen Jilan, Sun Jiadong, Li Yannian, Zhang Fuqing, Yuan Longping, Huang Xuhua and Tu Youyou.【設計意圖】 教師創(chuàng)設情境，即為慶祝新中國成立70周年，校報新增有關卓有成就人物的欄目，你將從共和國勛章獲得者中，選擇一位寫一篇新聞故事，向該欄目投稿。學生以小組合作形式，展開討論，并寫出新聞故事框架，有助于學生課后收集人物信息，撰寫新聞故事。
新人教版高中英語選修1Unit 5 Working the Land教案
1. 完成文本主要信息填空（斜體字部分設空）：As a witness to farmers’ poor harvests and even a severe shortage of food, Yuan Longping was determined to devote his life to tackling this crisis. After graduation, he realized that what farmers needed most was to boost yields in the fields. Yuan was convinced that the answer lay in the creation of hybrid rice, one characteristic of which is that it usually achieve higher output than conventional crops. However, it was no easy job. The first difficulty he needed to overcome was scientists’ general assumption that this could not be done. Through trial and error, Yuan managed to generate this incredible crop. It is estimated that about 60 percent of domestic rice consumption in China was comprised of crops generated from Yuan’s hybrid strains. His innovation has enabled Chinese farmers to considerably expand their output and helped feed the world. Unwilling to retire early to a life of leisure and unconcerned about celebrity or fortune, Yuan continues to turn one vision after another into realities.2. 模仿寫作：Do some research via the Internet and introduce another agricultural scientist, Chen Risheng（陳日勝）, using the structure, expressions and writing techniques you have learnt from the text “A Pioneer for All People”.【設計意圖】任務1是對文本內(nèi)容和詞匯學習成效的檢測。任務2借助文本中學到的詞匯和寫作手法仿寫另一位科學家，提升學生遷移運用詞匯、文體結構和寫作方法的能力。
新人教版高中英語選修3Unit 1 Art教案
[2] An important breakthrough…was… [3] Another innovation was … [4] the emphasis increasingly shifted from…to… [5] New ideas and values gradually replaced… [6] While his paintings still had religious themes… … T: All these expressions serve to show how Western painting has developed. Some of them share similar structure but with varied use of words, which makes the text vivid and more readable. 【設計意圖】主題類語言整理有助于學生類化語言應用，提高語言輸出的豐富性。處理完文本內(nèi)容信息后，進入語篇信息處理，進行主題相關的詞塊歸類。引導學生快速閱讀，尋找表達相同主題(發(fā)展或者藝術)的詞和短語，再根據(jù)詞性、用法和結構進行歸類，儲備主題相關詞匯，豐富語言儲備，提升語言素養(yǎng)。 Assignment: Go online to gather more information about Chinese painting and write a short history of it. 【設計意圖】結合所學，遷移運用，根據(jù)實際語境，進行模仿性運用。在此過程中，學生嘗試借鑒已學的語言、內(nèi)容、語篇結構和寫作手法來建構新文本，實現(xiàn)語篇輸出，同時關注中西藝術文化的差別，加深對優(yōu)秀文化的認同，培養(yǎng)文化意識。
新人教版高中英語選修3Unit 5 Poems教案
本單元閱讀文本介紹了幾種簡單的英語詩歌形式，旨在讓學生能理解和欣賞英語詩歌的美，包括形式美、內(nèi)容美、意義美，培養(yǎng)審美情趣，并從作品的意義美中獲得積極的人生態(tài)度和價值觀念啟示。 該文本是一則典型的說明性文本，用簡單易懂的語言向英語詩歌的初學者們介紹了五種比較簡單的英語詩歌形式。文題“A Few Simple Forms of English Poems”是整個文本的核心話題。正文內(nèi)容共七段，按“總—分—總”建構。第一段為總起段，概述了英語詩歌的創(chuàng)作原因以及主要特點，涉及了形式、內(nèi)容、意義等方面賞析英語詩歌的幾個主要維度；第二段至第六段分別介紹了童謠、清單詩、五行詩、俳句和唐詩五種英語詩歌形式；第七段收尾，鼓勵讀者嘗試英語詩歌創(chuàng)作。 在進行文本教學設計時，要引導學生梳理關于與詩歌要素和詩歌賞析有關的話題類語言，既包括format、rhythm、subject、image等名詞，也包括have a strong rhythm、be made up of、contain、consist of、convey這樣的動詞和動詞短語。
人教版高中數(shù)學選擇性必修二等差數(shù)列的概念（2）教學設計
二、典例解析例3.某公司購置了一臺價值為220萬元的設備，隨著設備在使用過程中老化，其價值會逐年減少.經(jīng)驗表明，每經(jīng)過一年其價值會減少d(d為正常數(shù)）萬元.已知這臺設備的使用年限為10年，超過10年 ，它的價值將低于購進價值的5%，設備將報廢.請確定d的范圍.分析：該設備使用n年后的價值構成數(shù)列{an}，由題意可知，an＝an－1－d (n≥2). 即：an－an－1＝－d.所以{an}為公差為－d的等差數(shù)列.10年之內(nèi)（含10年），該設備的價值不小于（220×5%=）11萬元；10年后，該設備的價值需小于11萬元．利用{an}的通項公式列不等式求解．解：設使用n年后，這臺設備的價值為an萬元，則可得數(shù)列{an}．由已知條件，得an＝an－1－d（n≥2）．所以數(shù)列{an}是一個公差為－d的等差數(shù)列.因為a1＝220－d，所以an＝220－d＋(n－1)(－d)＝220－nd. 由題意，得a10≥11，a11＜11. 即：{█("220－10d≥11" @"220－11d＜11" )┤解得19<d≤20.9所以，d的求值范圍為19<d≤20.9
人教版高中數(shù)學選擇性必修二等差數(shù)列的前n項和公式（2）教學設計
課前小測1．思考辨析(1)若Sn為等差數(shù)列{an}的前n項和，則數(shù)列Snn也是等差數(shù)列．( )(2)若a1>0，d<0，則等差數(shù)列中所有正項之和最大．( )(3)在等差數(shù)列中，Sn是其前n項和，則有S2n－1＝(2n－1)an.( )[答案] (1)√ (2)√ (3)√2．在項數(shù)為2n＋1的等差數(shù)列中，所有奇數(shù)項的和為165，所有偶數(shù)項的和為150，則n等于( )A．9 B．10 C．11 D．12B [∵S奇S偶＝n＋1n，∴165150＝n＋1n.∴n＝10.故選B項．]3．等差數(shù)列{an}中，S2＝4，S4＝9，則S6＝________.15 [由S2，S4－S2，S6－S4成等差數(shù)列得2(S4－S2)＝S2＋(S6－S4)解得S6＝15.]4．已知數(shù)列{an}的通項公式是an＝2n－48，則Sn取得最小值時，n為________.23或24 [由an≤0即2n－48≤0得n≤24.∴所有負項的和最小，即n＝23或24.]二、典例解析例8.某校新建一個報告廳，要求容納800個座位，報告廳共有20排座位，從第2排起后一排都比前一排多兩個座位. 問第1排應安排多少個座位？分析：將第1排到第20排的座位數(shù)依次排成一列，構成數(shù)列{an} ，設數(shù)列{an} 的前n項和為S_n。
人教版高中數(shù)學選擇性必修二等比數(shù)列的概念 (2) 教學設計
二、典例解析例4. 用 10 000元購買某個理財產(chǎn)品一年.（1）若以月利率0.400%的復利計息，12個月能獲得多少利息（精確到1元）？（2）若以季度復利計息，存4個季度，則當每季度利率為多少時，按季結算的利息不少于按月結算的利息（精確到10^(-5)）？分析：復利是指把前一期的利息與本金之和算作本金，再計算下一期的利息.所以若原始本金為a元，每期的利率為r ，則從第一期開始，各期的本利和a , a(1+r)，a(1+r)^2…構成等比數(shù)列.解：（1）設這筆錢存 n 個月以后的本利和組成一個數(shù)列{a_n }，則{a_n }是等比數(shù)列，首項a_1=10^4 (1+0.400%)，公比 q=1+0.400%，所以a_12=a_1 q^11 〖=10〗^4 (1+0.400%)^12≈10 490.7.所以，12個月后的利息為10 490.7-10^4≈491（元）.解：（2）設季度利率為 r ，這筆錢存 n 個季度以后的本利和組成一個數(shù)列{b_n }，則{b_n }也是一個等比數(shù)列，首項 b_1=10^4 (1+r)，公比為1+r，于是 b_4=10^4 (1+r)^4.
人教版高中數(shù)學選擇性必修二等比數(shù)列的前n項和公式 (2) 教學設計
二、典例解析例10. 如圖，正方形ABCD 的邊長為5cm ，取正方形ABCD 各邊的中點E,F,G,H, 作第2個正方形 EFGH，然后再取正方形EFGH各邊的中點I,J,K,L，作第3個正方形IJKL ，依此方法一直繼續(xù)下去. (1) 求從正方形ABCD 開始，連續(xù)10個正方形的面積之和；(2) 如果這個作圖過程可以一直繼續(xù)下去，那么所有這些正方形的面積之和將趨近于多少？分析：可以利用數(shù)列表示各正方形的面積，根據(jù)條件可知，這是一個等比數(shù)列。解：設正方形的面積為a_1，后續(xù)各正方形的面積依次為a_2, a_(3, ) 〖…,a〗_n,…，則a_1=25,由于第k+1個正方形的頂點分別是第k個正方形各邊的中點，所以a_(k+1)=〖1/2 a〗_k,因此{a_n}，是以25為首項，1/2為公比的等比數(shù)列.設{a_n}的前項和為S_n（1）S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以，前10個正方形的面積之和為25575/512cm^2.(2)當無限增大時，無限趨近于所有正方形的面積和
人教A版高中數(shù)學必修一函數(shù)的概念教學設計（2）
函數(shù)在高中數(shù)學中占有很重要的比重，因而作為函數(shù)的第一節(jié)內(nèi)容，主要從三個實例出發(fā)，引出函數(shù)的概念.從而就函數(shù)概念的分析判斷函數(shù)，求定義域和函數(shù)值，再結合三要素判斷函數(shù)相等.課程目標1.理解函數(shù)的定義、函數(shù)的定義域、值域及對應法則。2.掌握判定函數(shù)和函數(shù)相等的方法。3.學會求函數(shù)的定義域與函數(shù)值。數(shù)學學科素養(yǎng)1.數(shù)學抽象：通過教材中四個實例總結函數(shù)定義；2.邏輯推理：相等函數(shù)的判斷；3.數(shù)學運算：求函數(shù)定義域和求函數(shù)值；4.數(shù)據(jù)分析：運用分離常數(shù)法和換元法求值域；5.數(shù)學建模：通過從實際問題中抽象概括出函數(shù)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(shù)的概念，函數(shù)的三要素。難點：函數(shù)概念及符號y=f(x)的理解。
人教A版高中數(shù)學必修一誘導公式教學設計（2）
本節(jié)主要內(nèi)容是三角函數(shù)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(xiàn)對稱變換思想在數(shù)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(shù)學思想的探究過程，培養(yǎng)學生用聯(lián)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(shù)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(shù)化為銳角的三角函數(shù)，并解決有關三角函數(shù)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。