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  • 新人教版高中英語必修3Unit 3 Diverse Cultures教學(xué)設(shè)計四

    新人教版高中英語必修3Unit 3 Diverse Cultures教學(xué)設(shè)計四

    該板塊的活動主題是“介紹一個有顯著文化特征的地方”( Describe a place with distinctive cultural identity)。該板塊通過介紹中國城繼續(xù)聚焦中國文化。本單元主題圖呈現(xiàn)的是舊金山中國城的典型景象, Reading and Thinking部分也提到中國城,為該板塊作鋪墊。介紹中國城的目的主要是體現(xiàn)中國文化與美國多元文化的關(guān)系,它是美國多元文化的重要組成部分。中國城也是海外華人的精神家園和傳播中國文化的重要窗口,外國人在中國城能近距離體驗中國文化。1. Read the text to understand the cultural characteristics of Chinatown in San Francisco and the relationship between Chinese culture and American multiculturalism;2. Through reading, learn to comb the main information of the article, understand the author's writing purpose and writing characteristics;3. Learn to give a comprehensive, accurate, and organized description of the city or town you live in;Learn to revise and evaluate your writing.Importance:1. Guide the students to read the introduction of Chinatown in San Francisco and grasp its writing characteristics;2. Guide students to introduce their city or town in a comprehensive, accurate and organized way;3. Learn to comb the main information of the article, understand the author's writing purpose, and master the core vocabulary.

  • 新人教版高中英語必修3Unit 3 Diverse Cultures教學(xué)設(shè)計一

    新人教版高中英語必修3Unit 3 Diverse Cultures教學(xué)設(shè)計一

    Activity 81.Grasp the main idea of the listening.Listen to the tape and answer the following questions:Who are the two speakers in the listening? What is their relationship?What is the main idea of the first part of the listening? How about the second part?2.Complete the passage.Ask the students to quickly review the summaries of the two listening materials in activity 2. Then play the recording for the second time.Ask them to complete the passage and fill in the blanks.3.Play the recording again and ask the students to use the structure diagram to comb the information structure in the listening.(While listening, take notes. Capture key information quickly and accurately.)Step 8 Talking Activity 91.Focus on the listening text.Listen to the students and listen to the tape. Let them understand the attitudes of Wu Yue and Justin in the conversation.How does Wu Yue feel about Chinese minority cultures?What does Justin think of the Miao and Dong cultures?How do you know that?2.learn functional items that express concerns.Ask students to focus on the expressions listed in activity. 3.And try to analyze the meaning they convey, including praise (Super!).Agree (Exactly!)"(You're kidding.!)Tell me more about it. Tell me more about it.For example, "Yeah Sure." "Definitely!" "Certainly!" "No kidding!" "No wonder!" and so on.4.Ask the students to have conversations in small groups, acting as Jsim and his friends.Justin shares his travels in Guizhou with friends and his thoughts;Justin's friends should give appropriate feedback, express their interest in relevant information, and ask for information when necessary.In order to enrich the dialogue, teachers can expand and supplement the introduction of Miao, dong, Lusheng and Dong Dage.After the group practice, the teacher can choose several groups of students to show, and let the rest of the students listen carefully, after listening to the best performance of the group, and give at least two reasons.

  • 新人教版高中英語選修2Unit 2 Learning about Language教學(xué)設(shè)計

    新人教版高中英語選修2Unit 2 Learning about Language教學(xué)設(shè)計

    The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth

  • 新人教版高中英語選修2Unit 5 Reading for writing教學(xué)設(shè)計

    新人教版高中英語選修2Unit 5 Reading for writing教學(xué)設(shè)計

    你校英語報計劃出版一期急救常識???現(xiàn)面向全校學(xué)生公開征集稿件,你有意參加。請你根據(jù)下面提示內(nèi)容,用英語寫一篇短文,介紹在車禍現(xiàn)場對傷者進(jìn)行急救的方法和步驟。1.確保現(xiàn)場的安全;2.詢問傷者,確保其呼吸正常;3.檢查傷口,如流血則應(yīng)采取止血措施;4.如需急救,確保其處于康復(fù)位置。注意:1.詞數(shù)80左右;2.可以適當(dāng)增加細(xì)節(jié),以使行文連貫。參考詞匯:康復(fù)位置 recovery positionAs we all know, having a knowledge of first aid can make a great difference in our daily life. If a traffic accident happens and someone is injured, the following steps can be used to treat the injured.In the first place, we should make sure that the accident scene is safe so that we won’t get hurt. We should ask the injured person if he is OK, and see if he is breathing. What’s more, we should check for cuts and wounds. If he is bleeding badly, it is vital that we should try to stop the bleeding by applying pressure to the injury. This is because if a person loses too much blood, he may die. If necessary, take the injured person to the hospital as soon as possible.Do remember: when giving first aid, please be sure to place the person in a recovery position.

  • 新人教版高中英語選修2Unit 2 Using langauge-Listening教學(xué)設(shè)計

    新人教版高中英語選修2Unit 2 Using langauge-Listening教學(xué)設(shè)計

    ? B: Absolutely! Getting involved with Chinese cultural activities there definitely helped a lot. I got to practice my Chinese on a daily basis, and I could learn how native Chinese speakers spoke.? A: What do you feel is your biggest achievement?? B: Learning Chinese characters! I have learnt about 1,500 so far. When I first started, I didn't think it was even going to be possible to learn so many, but now I find that I can read signs, menus, and even some easy newspaper articles.? A: What are you most keen on?? B: I've really become keen on learning more about the Chinese culture, in particular Chinese calligraphy. As I have learnt Chinese characters, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way. ? A: Finally, what do you want to say to anyone interested in learning Chinese?? I have really become keen on learning more about the Chinese culture, in particular Chinese Calligraphy. As I have learnt Chinese character, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way.? A: Finally, what do you want to say to anyone interested in learning Chinese?? B: I'd say, give it a shot! While some aspects may be difficult, it is quite rewarding and you will be happy that you tried.? A: Thanks for your time. ? B:You're welcome.

  • 新人教版高中英語選修2Unit 4 Reading for writing教學(xué)設(shè)計

    新人教版高中英語選修2Unit 4 Reading for writing教學(xué)設(shè)計

    假定你是英國的Jack,打算來中國旅行,請你給你的中國筆友李華寫一封信,要點如下:1.你的旅行計劃:北京→泰山→杭州;2.征求建議并詢問他是否愿意充當(dāng)你的導(dǎo)游。注意:1.詞數(shù)80左右(開頭和結(jié)尾已給出,不計入總詞數(shù));2.可以適當(dāng)增加細(xì)節(jié),以使行文連貫。參考詞匯:故宮 the Forbidden City;泰山 Mount TaiDear Li Hua,I'm glad to tell you that 'm going to visit China.First,I am planning to visit Beijing,the capitalof China,where I am looking forward to enjoying the Great Wall,the Forbidden City and somebeautiful parks.Then I intend to go to visit Mount Tai in Shandong Province.I've heard that it is one ofthe most famous mountains in China and I can't wait to enjoy the amazing sunrise there.After that,I amalso going to Hangzhou.It is said that it is a beautiful modern city with breathtaking natural sights,among which the West Lake is a well- known tourist attraction.What do you think of my travel plan? Will you act as my guide? Hope to hear from you soon.

  • 新人教版高中英語選修2Unit 5 Learning about Language教學(xué)設(shè)計

    新人教版高中英語選修2Unit 5 Learning about Language教學(xué)設(shè)計

    The purpose of this section of vocabulary exercises is to consolidate the key words in the first part of the reading text, let the students write the words according to the English definition, and focus on the detection of the meaning and spelling of the new words. The teaching design includes use English definition to explain words, which is conducive to improving students' interest in vocabulary learning, cultivating their sense of English language and thinking in English, and making students willing to use this method to better grasp the meaning of words, expand their vocabulary, and improve their ability of vocabulary application. Besides, the design offers more context including sentences and short passage for students to practice words flexibly.1. Guide students to understand and consolidate the meaning and usage of the vocabulary in the context, 2. Guide the students to use the unit topic vocabulary in a richer context3. Let the students sort out and accumulate the accumulated vocabulary, establishes the semantic connection between the vocabulary,4. Enable students to understand and master the vocabulary more effectivelyGuiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Read the passage about chemical burns and fill in the blanks with the correct forms of the words in the box.

  • 新人教版高中英語選修2Unit 5 Using langauge-Listening教學(xué)設(shè)計

    新人教版高中英語選修2Unit 5 Using langauge-Listening教學(xué)設(shè)計

    The theme of this section is to learn how to make emergency calls. Students should learn how to make emergency calls not only in China, but also in foreign countries in English, so that they can be prepared for future situations outside the home.The emergency telephone number is a vital hotline, which should be the most clear, rapid and effective communication with the acute operator.This section helps students to understand the emergency calls in some countries and the precautions for making emergency calls. Through the study of this section, students can accumulate common expressions and sentence patterns in this context. 1.Help students accumulate emergency telephone numbers in different countries and learn more about first aid2.Guide the students to understand the contents and instructions of the telephone, grasp the characteristics of the emergency telephone and the requirements of the emergency telephone.3.Guide students to understand the first aid instructions of the operators.4.Enable Ss to make simulated emergency calls with their partners in the language they have learned1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.Step1:Look and discuss:Match the pictures below to the medical emergencies, and then discuss the questions in groups.

  • 人教A版高中數(shù)學(xué)必修二簡單隨機(jī)抽樣教學(xué)設(shè)計

    人教A版高中數(shù)學(xué)必修二簡單隨機(jī)抽樣教學(xué)設(shè)計

    知識探究(一):普查與抽查像人口普查這樣,對每一個調(diào)查調(diào)查對象都進(jìn)行調(diào)查的方法,稱為全面調(diào)查(又稱普查)。 在一個調(diào)查中,我們把調(diào)查對象的全體稱為總體,組成總體的每一個調(diào)查對象稱為個體。為了強調(diào)調(diào)查目的,也可以把調(diào)查對象的某些指標(biāo)的全體作為總體,每一個調(diào)查對象的相應(yīng)指標(biāo)作為個體。問題二:除了普查,還有其他的調(diào)查方法嗎?由于人口普查需要花費巨大的財力、物力,因而不宜經(jīng)常進(jìn)行。為了及時掌握全國人口變動狀況,我國每年還會進(jìn)行一次人口變動情況的調(diào)查,根據(jù)抽取的居民情況來推斷總體的人口變動情況。像這樣,根據(jù)一定目的,從總體中抽取一部分個體進(jìn)行調(diào)查,并以此為依據(jù)對總體的情況作出估計和判斷的方法,稱為抽樣調(diào)查(或稱抽查)。我們把從總體中抽取的那部分個體稱為樣本,樣本中包含的個體數(shù)稱為樣本量。

  • 人教A版高中數(shù)學(xué)必修一誘導(dǎo)公式教學(xué)設(shè)計(1)

    人教A版高中數(shù)學(xué)必修一誘導(dǎo)公式教學(xué)設(shè)計(1)

    一、復(fù)習(xí)回顧,溫故知新1. 任意角三角函數(shù)的定義【答案】設(shè)角 它的終邊與單位圓交于點 。那么(1) (2) 2.誘導(dǎo)公式一 ,其中, 。終邊相同的角的同一三角函數(shù)值相等二、探索新知思考1:(1).終邊相同的角的同一三角函數(shù)值有什么關(guān)系?【答案】相等(2).角 -α與α的終邊 有何位置關(guān)系?【答案】終邊關(guān)于x軸對稱(3).角 與α的終邊 有何位置關(guān)系?【答案】終邊關(guān)于y軸對稱(4).角 與α的終邊 有何位置關(guān)系?【答案】終邊關(guān)于原點對稱思考2: 已知任意角α的終邊與單位圓相交于點P(x, y),請同學(xué)們思考回答點P關(guān)于原點、x軸、y軸對稱的三個點的坐標(biāo)是什么?【答案】點P(x, y)關(guān)于原點對稱點P1(-x, -y)點P(x, y)關(guān)于x軸對稱點P2(x, -y) 點P(x, y)關(guān)于y軸對稱點P3(-x, y)

  • 人教A版高中數(shù)學(xué)必修一冪函數(shù)教學(xué)設(shè)計(2)

    人教A版高中數(shù)學(xué)必修一冪函數(shù)教學(xué)設(shè)計(2)

    冪函數(shù)是在繼一次函數(shù)、反比例函數(shù)、二次函數(shù)之后,又學(xué)習(xí)了單調(diào)性、最值、奇偶性的基礎(chǔ)上,借助實例,總結(jié)出冪函數(shù)的概念,再借助圖像研究冪函數(shù)的性質(zhì).課程目標(biāo)1、理解冪函數(shù)的概念,會畫冪函數(shù)y=x,y=x2,y=x3,y=x-1,y=x 的圖象;2、結(jié)合這幾個冪函數(shù)的圖象,理解冪函數(shù)圖象的變化情況和性質(zhì);3、通過觀察、總結(jié)冪函數(shù)的性質(zhì),培養(yǎng)學(xué)生概括抽象和識圖能力.?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:用數(shù)學(xué)語言表示函數(shù)冪函數(shù);2.邏輯推理:常見冪函數(shù)的性質(zhì);3.數(shù)學(xué)運算:利用冪函數(shù)的概念求參數(shù);4.數(shù)據(jù)分析:比較冪函數(shù)大小;5.數(shù)學(xué)建模:在具體問題情境中,運用數(shù)形結(jié)合思想,利用冪函數(shù)性質(zhì)、圖像特點解決實際問題。重點:常見冪函數(shù)的概念、圖象和性質(zhì);難點:冪函數(shù)的單調(diào)性及比較兩個冪值的大?。?/p>

  • 人教A版高中數(shù)學(xué)必修一基本不等式教學(xué)設(shè)計(2)

    人教A版高中數(shù)學(xué)必修一基本不等式教學(xué)設(shè)計(2)

    《基本不等式》在人教A版高中數(shù)學(xué)第一冊第二章第2節(jié),本節(jié)課的內(nèi)容是基本不等式的形式以及推導(dǎo)和證明過程。本章一直在研究不等式的相關(guān)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(nèi)容也是之后基本不等式應(yīng)用的必要基礎(chǔ)。課程目標(biāo)1.掌握基本不等式的形式以及推導(dǎo)過程,會用基本不等式解決簡單問題。2.經(jīng)歷基本不等式的推導(dǎo)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(shù)學(xué)的嚴(yán)謹(jǐn)性。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:基本不等式的形式以及推導(dǎo)過程;2.邏輯推理:基本不等式的證明;3.數(shù)學(xué)運算:利用基本不等式求最值;4.數(shù)據(jù)分析:利用基本不等式解決實際問題;5.數(shù)學(xué)建模:利用函數(shù)的思想和基本不等式解決實際問題,提升學(xué)生的邏輯推理能力。重點:基本不等式的形成以及推導(dǎo)過程和利用基本不等式求最值;難點:基本不等式的推導(dǎo)以及證明過程.

  • 人教A版高中數(shù)學(xué)必修一任意角教學(xué)設(shè)計(1)

    人教A版高中數(shù)學(xué)必修一任意角教學(xué)設(shè)計(1)

    本節(jié)課選自《普通高中課程標(biāo)準(zhǔn)數(shù)學(xué)教科書-必修一》(人 教A版)第五章《三角函數(shù)》,本節(jié)課是第1課時,本節(jié)主要介紹推廣角的概念,引入正角、負(fù)角、零角的定義,象限角的概念以及終邊相同的角的表示法。樹立運動變化的觀點,并由此進(jìn)一步理解推廣后的角的概念。教學(xué)方法可以選用討論法,通過實際問題,如時針與分針、體操等等都能形成角的流念,給學(xué)生以直觀的印象,形成正角、負(fù)角、零角的概念,明確規(guī)定角的概念,通過具體問題讓學(xué)生從不同角度理解終邊相同的角,從特殊到一般歸納出終邊相同的角的表示方法。A.了解任意角的概念;B.掌握正角、負(fù)角、零角及象限角的定義,理解任意角的概念;C.掌握終邊相同的角的表示方法;D.會判斷角所在的象限。 1.數(shù)學(xué)抽象:角的概念;2.邏輯推理:象限角的表示;3.數(shù)學(xué)運算:判斷角所在象限;4.直觀想象:從特殊到一般的數(shù)學(xué)思想方法;

  • 人教A版高中數(shù)學(xué)必修一任意角教學(xué)設(shè)計(2)

    人教A版高中數(shù)學(xué)必修一任意角教學(xué)設(shè)計(2)

    學(xué)生在初中學(xué)習(xí)了 ~ ,但是現(xiàn)實生活中隨處可見超出 ~ 范圍的角.例如體操中有“前空翻轉(zhuǎn)體 ”,且主動輪和被動輪的旋轉(zhuǎn)方向不一致.因此為了準(zhǔn)確描述這些現(xiàn)象,本節(jié)課主要就旋轉(zhuǎn)度數(shù)和旋轉(zhuǎn)方向?qū)堑母拍钸M(jìn)行推廣.課程目標(biāo)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.?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)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(shù)學(xué)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(xué)方法:以學(xué)生為主體,采用誘思探究式教學(xué),精講多練。教學(xué)工具:多媒體。一、 情景導(dǎo)入初中對角的定義是:射線OA繞端點O按逆時針方向旋轉(zhuǎn)一周回到起始位置,在這個過程中可以得到 ~ 范圍內(nèi)的角.但是現(xiàn)實生活中隨處可見超出 ~ 范圍的角.例如體操中有“前空翻轉(zhuǎn)體 ”,且主動輪和被動輪的旋轉(zhuǎn)方向不一致.

  • 人教A版高中數(shù)學(xué)必修一誘導(dǎo)公式教學(xué)設(shè)計(2)

    人教A版高中數(shù)學(xué)必修一誘導(dǎo)公式教學(xué)設(shè)計(2)

    本節(jié)主要內(nèi)容是三角函數(shù)的誘導(dǎo)公式中的公式二至公式六,其推導(dǎo)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(xué)中的應(yīng)用,在練習(xí)中加以應(yīng)用,讓學(xué)生進(jìn)一步體會 的任意性;綜合六組誘導(dǎo)公式總結(jié)出記憶誘導(dǎo)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(xué)思想的探究過程,培養(yǎng)學(xué)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(dǎo)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(xué)生能熟練的掌握和應(yīng)用。課程目標(biāo)1.借助單位圓,推導(dǎo)出正弦、余弦第二、三、四、五、六組的誘導(dǎo)公式,能正確運用誘導(dǎo)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(guān)三角函數(shù)求值、化簡和恒等式證明問題2.通過公式的應(yīng)用,了解未知到已知、復(fù)雜到簡單的轉(zhuǎn)化過程,培養(yǎng)學(xué)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。

  • 人教A版高中數(shù)學(xué)必修一函數(shù)的零點與方程的解教學(xué)設(shè)計(1)

    人教A版高中數(shù)學(xué)必修一函數(shù)的零點與方程的解教學(xué)設(shè)計(1)

    本節(jié)課是新版教材人教A版普通高中課程標(biāo)準(zhǔn)實驗教科書數(shù)學(xué)必修1第四章第4.5.1節(jié)《函數(shù)零點與方程的解》,由于學(xué)生已經(jīng)學(xué)過一元二次方程與二次函數(shù)的關(guān)系,本節(jié)課的內(nèi)容就是在此基礎(chǔ)上的推廣。從而建立一般的函數(shù)的零點概念,進(jìn)一步理解零點判定定理及其應(yīng)用。培養(yǎng)和發(fā)展學(xué)生數(shù)學(xué)直觀、數(shù)學(xué)抽象、邏輯推理和數(shù)學(xué)建模的核心素養(yǎng)。1、了解函數(shù)(結(jié)合二次函數(shù))零點的概念;2、理 解函數(shù)零點與方程的根以及函數(shù)圖象與x軸交點的關(guān)系,掌握零點存在性定理的運用;3、在認(rèn)識函數(shù)零點的過程中,使學(xué)生學(xué)會認(rèn)識事物的特殊性與一般性之間的關(guān)系,培養(yǎng)數(shù)學(xué)數(shù)形結(jié)合及函數(shù)思想; a.數(shù)學(xué)抽象:函數(shù)零點的概念;b.邏輯推理:零點判定定理;c.數(shù)學(xué)運算:運用零點判定定理確定零點范圍;d.直觀想象:運用圖形判定零點;e.數(shù)學(xué)建模:運用函數(shù)的觀點方程的根;

  • 人教A版高中數(shù)學(xué)必修一函數(shù)的零點與方程的解教學(xué)設(shè)計(2)

    人教A版高中數(shù)學(xué)必修一函數(shù)的零點與方程的解教學(xué)設(shè)計(2)

    本章通過學(xué)習(xí)用二分法求方程近似解的的方法,使學(xué)生體會函數(shù)與方程之間的關(guān)系,通過一些函數(shù)模型的實例,讓學(xué)生感受建立函數(shù)模型的過程和方法,體會函數(shù)在數(shù)學(xué)和其他學(xué)科中的廣泛應(yīng)用,進(jìn)一步認(rèn)識到函數(shù)是描述客觀世界變化規(guī)律的基本數(shù)學(xué)模型,能初步運用函數(shù)思想解決一些生活中的簡單問題。1.了解函數(shù)的零點、方程的根與圖象交點三者之間的聯(lián)系.2.會借助零點存在性定理判斷函數(shù)的零點所在的大致區(qū)間.3.能借助函數(shù)單調(diào)性及圖象判斷零點個數(shù).?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象:函數(shù)零點的概念;2.邏輯推理:借助圖像判斷零點個數(shù);3.數(shù)學(xué)運算:求函數(shù)零點或零點所在區(qū)間;4.數(shù)學(xué)建模:通過由抽象到具體,由具體到一般的思想總結(jié)函數(shù)零點概念.重點:零點的概念,及零點與方程根的聯(lián)系;難點:零點的概念的形成.

  • 人教A版高中數(shù)學(xué)必修二總體離散程度的估計教學(xué)設(shè)計

    人教A版高中數(shù)學(xué)必修二總體離散程度的估計教學(xué)設(shè)計

    問題二:上述問題中,甲、乙的平均數(shù)、中位數(shù)、眾數(shù)相同,但二者的射擊成績存在差異,那么,如何度量這種差異呢?我們可以利用極差進(jìn)行度量。根據(jù)上述數(shù)據(jù)計算得:甲的極差=10-4=6 乙的極差=9-5=4極差在一定程度上刻畫了數(shù)據(jù)的離散程度。由極差發(fā)現(xiàn)甲的成績波動范圍比乙的大。但由于極差只使用了數(shù)據(jù)中最大、最小兩個值的信息,所含的信息量很少。也就是說,極差度量出的差異誤差較大。問題三:你還能想出其他刻畫數(shù)據(jù)離散程度的辦法嗎?我們知道,如果射擊的成績很穩(wěn)定,那么大多數(shù)的射擊成績離平均成績不會太遠(yuǎn);相反,如果射擊的成績波動幅度很大,那么大多數(shù)的射擊成績離平均成績會比較遠(yuǎn)。因此,我們可以通過這兩組射擊成績與它們的平均成績的“平均距離”來度量成績的波動幅度。

  • 人教A版高中數(shù)學(xué)必修二總體集中趨勢的估計教學(xué)設(shè)計

    人教A版高中數(shù)學(xué)必修二總體集中趨勢的估計教學(xué)設(shè)計

    (2)平均數(shù)受數(shù)據(jù)中的極端值(2個95)影響較大,使平均數(shù)在估計總體時可靠性降低,10天的用水量有8天都在平均值以下。故用中位數(shù)來估計每天的用水量更合適。1、樣本的數(shù)字特征:眾數(shù)、中位數(shù)和平均數(shù);2、用樣本頻率分布直方圖估計樣本的眾數(shù)、中位數(shù)、平均數(shù)。(1)眾數(shù)規(guī)定為頻率分布直方圖中最高矩形下端的中點;(2)中位數(shù)兩邊的直方圖的面積相等;(3)頻率分布直方圖中每個小矩形的面積與小矩形底邊中點的橫坐標(biāo)之積相加,就是樣本數(shù)據(jù)的估值平均數(shù)。學(xué)生回顧本節(jié)課知識點,教師補充。 讓學(xué)生掌握本節(jié)課知識點,并能夠靈活運用。

  • 人教A版高中數(shù)學(xué)必修二總體取值規(guī)律的估計教學(xué)設(shè)計

    人教A版高中數(shù)學(xué)必修二總體取值規(guī)律的估計教學(xué)設(shè)計

    可以通過下面的步驟計算一組n個數(shù)據(jù)的第p百分位數(shù):第一步:按從小到大排列原始數(shù)據(jù);第二步:計算i=n×p%;第三步:若i不是整數(shù),而大于i的比鄰整數(shù)位j,則第p百分位數(shù)為第j項數(shù)據(jù);若i是整數(shù),則第p百分位數(shù)為第i項與第i+1項的平均數(shù)。我們在初中學(xué)過的中位數(shù),相當(dāng)于是第50百分位數(shù)。在實際應(yīng)用中,除了中位數(shù)外,常用的分位數(shù)還有第25百分位數(shù),第75百分位數(shù)。這三個分位數(shù)把一組由小到大排列后的數(shù)據(jù)分成四等份,因此稱為四分位數(shù)。其中第25百分位數(shù)也稱為第一四分位數(shù)或下四分位數(shù)等,第75百分位數(shù)也稱為第三四分位數(shù)或上四分位數(shù)等。另外,像第1百分位數(shù),第5百分位數(shù),第95百分位數(shù),和第99百分位數(shù)在統(tǒng)計中也經(jīng)常被使用。例2、根據(jù)下列樣本數(shù)據(jù),估計樹人中學(xué)高一年級女生第25,50,75百分位數(shù)。

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