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小學美術人教版二年級下冊《第2課重重疊疊》教學設計說課稿

  • 新人教版高中英語必修3Unit 2 Morals and Virtues-Reading and Thinking教學設計

    新人教版高中英語必修3Unit 2 Morals and Virtues-Reading and Thinking教學設計

    The topic of this part is “Learn to make choices in life”.The Listening & Speaking & Talking part aims at the moral dilemmas, and this part is about making choices in life. The heroin is Lin Qiaozhi, a famous medical scientist, made a great contribution to our country’s medical care. Most importantly, her life experience can inspire our students whether in studying or the development of career. she had moral dilemmas and life choices, which are similar to the students who will step into society. Besides, Lin has quite good virtues like kindness, self-improvement, insistence, job-loving , generosity and responsibility, which is worth being learned.Concretely, this article is a biography about Lin Qiaozhi. The article tells her whole life according the timeline, among which the life choices is emphasized. For example, whether married or chased her dream, returned home or stayed abroad, family or public, her choices all reflected her faith, spirit, responsibility and devotion.1. Fast reading to get the detailed information about Lin Qiaozhi; careful reading to do the deductive information.2. Learn the reading skills--deductive judgement according the context.3. Study the structure features and language features. 4. Communicate about Lin’s life choices and reflect their own life choices.1. Learn the reading skills--deductive judgement according the context.2. Study the structure features and language features.3. Communicate about Lin’s life choices and reflect their own life choices.Step 1 Lead in---Small talkWhat are some important life choices?Importance choices: university study, jobs and marriage partners. Because they can determine our future.

  • 新人教版高中英語必修3Unit 2 Morals and Virtues-Reading for Writing教學設計

    新人教版高中英語必修3Unit 2 Morals and Virtues-Reading for Writing教學設計

    1. 這個寓言是一個關于一位國王古寓言。 The fable is an old fable about a king.2.作者用這個故事讓讀者對于社區(qū)的問題負有個人責任的必要印象深刻。The author used the story to impress upon readers with the need to take personal responsibility for problems in the community.3. 這個故事十分成功的實現了它的目的。The story was quite successful in achieving its purpose.Step 7 WritingPlease write a review of the story according the outline above.The fable is an old fable about a king who thought his people are lazy, so he put a large stone in the middle of the road and hides and waited to see if anyone will try to move it.The author used this story to impress upon readers with the need to take personal responsibility for problems in the community. The story was quite successful in achieving its purpose, and I liked it because it had a clear moral.However, while the moral of the story is clear, the actions of the king seemed pointless to me, because none of the characters in the story learnt anything. For this reason, I think there are better stories that can be used to impress upon people with the need for personal responsibility.Step 8 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer give a short description of the story ?2. Does the description include the most important details of the story ?3. Does the writer give his or her opinion about the character or their actions ?4. Is the review well-organised ? 5. Does the writer use the -ing form as the adverbial correctly in the writing ?6. Are there any grammar, spelling, or punctuation errors ?Step 9 HomeworkPut up your revised draft in the classroom or read it to your class.

  • 新人教版高中英語選修2Unit 3 Food and Culture-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 3 Food and Culture-Discovering useful structures教學設計

    The newspaper reported more than 100 people had been killed in the thunderstorm.報紙報道說有一百多人在暴風雨中喪生。(2)before、when、by the time、until、after、once等引導的時間狀語從句的謂語是一般過去時,以及by、before后面接過去的時間時,主句動作發(fā)生在從句的動作或過去的時間之前且表示被動時,要用過去完成時的被動語態(tài)。By the time my brother was 10, he had been sent to Italy.我弟弟10歲前就已經被送到意大利了。Tons of rice had been produced by the end of last month. 到上月底已生產了好幾噸大米。(3) It was the first/second/last ... time that ...句中that引導的定語從句中,主語與謂語構成被動關系時,要用過去完成時的被動語態(tài)。It was the first time that I had seen the night fact to face in one and a half years. 這是我一年半以來第一次親眼目睹夜晚的景色。(4)在虛擬語氣中,條件句表示與過去事實相反,且主語與謂語構成被動關系時,要用過去完成時的被動語態(tài)。If I had been instructed by him earlier, I would have finished the task.如果我早一點得到他的指示,我早就完成這項任務了。If I had hurried, I wouldn't have missed the train.如果我快點的話,我就不會誤了火車。If you had been at the party, you would have met him. 如果你去了晚會,你就會見到他的。

  • 新人教版高中英語選修2Unit 5 First Aid-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 5 First Aid-Discovering useful structures教學設計

    You have no excuse for not going.你沒有理由不去。He was punished for not having finished his homework.他因未完成作業(yè)而受到懲罰。2.動詞­ing形式復合結構由物主代詞或人稱代詞賓格、名詞所有格或普通格加動詞­ing,即“sb./sb.'s+doing”構成。動詞­ing形式的復合結構實際上是給動詞­ing形式加了一個邏輯主語。動詞­ing形式的復合結構有四種形式:①形容詞性物主代詞+動詞­ing②名詞所有格+動詞­ing③代詞賓格+動詞­ing④名詞+動詞­ingHer coming to help encouraged all of us.她來幫忙鼓舞了我們所有人。The baby was made awake by the door suddenly shutting.這個嬰兒被突然的關門聲吵醒了。Can you imagine him/Jack cooking at home?你能想象他/杰克在家做飯的樣子嗎?無生命名詞無論是作主語還是作賓語都不能用第②種形式。Tom's winning first prize last year impressed me a lot.湯姆去年得了一等獎使我印象深刻。Do you mind my/me/Jack's/Jack leaving now?你介意我/杰克現在離開嗎?Excuse me for my not coming on time.很抱歉我沒能按時來。His father's being ill made him worried.他父親病了,他很擔心。We are looking forward to the singer's/the singer to give us a concert.我們盼望著這位歌手來給我們舉辦一場演唱會。

  • 新人教版高中英語必修3Unit 2 Morals and Virtues-Listening &Speaking&Talking教學設計

    新人教版高中英語必修3Unit 2 Morals and Virtues-Listening &Speaking&Talking教學設計

    Example:One day, a poor boy who was trying to pay his way through school by sending newspapers door to door found that he only had one dime(一角)left. He was so hungry that he decided to beg for a meal at the next house.However, he lost his nerve when a lovely young woman opened the door. Instead of a meal he asked for a drink of water. She thought he looked hungry so she brought him a large glass of milk. He drank it slowly, and then asked, “How much do I owe you?” “You don’t owe me anything,” she replied, “Mother has taught me never to accept pay for a kindness.” “Then I thank you from the bottom of my heart.” With these words, Howard Kelly left that house.Years later the woman became badly ill and was finally sent to the hospital in a big city. Dr. Howard Kelly, now famous, was called in. When he heard the name of the town she came from, a strange light filled his eyes. Dressed in his doctor’s clothes, Dr. Kelly went into her room and recognized her at once. From that day on, he gave special attention to her, and decided to do his best to save her life.At last the woman was saved. Dr. Kelly asked the business office to pass the final bill to him. He looked at it and then wrote something on the side. The bill was sent to the woman’s room. She was afraid to open it because she was sure that it would take the rest of her life to pay for it off. Finally she looked, and the note on the side of the bill caught her attention. She read these words: “Paid in full with a glass of milk, Dr. Howard Kelly.” Tear of joy flooded her eyes.

  • 新人教版高中英語選修2Unit 4 Journey Across a Vast Land教學設計

    新人教版高中英語選修2Unit 4 Journey Across a Vast Land教學設計

    當孩子們由父母陪同時,他們才被允許進入這個運動場。3.過去分詞(短語)作狀語時的幾種特殊情況(1)過去分詞(短語)在句中作時間、條件、原因、讓步狀語時,相當于對應的時間、條件、原因及讓步狀語從句。Seen from the top of the mountain (=When it is seen from the top of the mountain), the whole town looks more beautiful.從山頂上看,整個城市看起來更美了。Given ten more minutes (=If we are given ten more minutes), we will finish the work perfectly.如果多給十分鐘,我們會完美地完成這項工作。Greatly touched by his words (=Because she was greatly touched by his words), she was full of tears.由于被他的話深深地感動,她滿眼淚花。Warned of the storm (=Though they were warned of the storm), the farmers were still working on the farm.盡管被警告了風暴的到來,但農民們仍在農場干活。(2)過去分詞(短語)在句中作伴隨、方式等狀語時,可改為句子的并列謂語或改為并列分句。The teacher came into the room, followed by two students (=and was followed by two students).后面跟著兩個學生,老師走進了房間。He spent the whole afternoon, accompanied by his mom(=and was accompanied by his mom).他由母親陪著度過了一整個下午。

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Learning about Language教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Learning about Language教學設計

    Step 7: complete the discourse according to the grammar rules.Cholera used to be one of the most 1.__________ (fear) diseases in the world. In the early 19th century, _2_________ an outbreak of cholera hit Europe, millions of people died. But neither its cause, 3__________ its cure was understood. A British doctor, John Snow, wanted to solve the problem and he knew that cholera would not be controlled _4_________ its cause was found. In general, there were two contradictory theories 5 __________ explained how cholera spread. The first suggested that bad air caused the disease. The second was that cholera was caused by an _6_________(infect) from germs in food or water. John Snow thought that the second theory was correct but he needed proof. So when another outbreak of cholera hit London in 1854, he began to investigate. Later, with all the evidence he _7_________ (gather), John Snow was able to announce that the pump water carried cholera germs. Therefore, he had the handle of the pump _8_________ (remove) so that it couldn't be used. Through his intervention,the disease was stopped in its tracks. What is more, John Snow found that some companies sold water from the River Thames that __9__________________ (pollute) by raw waste. The people who drank this water were much more likely _10_________ (get) cholera than those who drank pure or boiled water. Through John Snow's efforts, the _11_________ (threaten) of cholera around the world saw a substantial increase. Keys: 1.feared 2.when 3. nor 4.unless 5.that/which 6.infection 7.had gathered 8.removed 9.was polluted 10.to get 11. threat

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Using langauge教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Using langauge教學設計

    This happens because the dish soap molecules have a strong negative charge, and the milk molecules have a strong positive charge. Like magnets, these molecules are attracted to each other, and so they appear to move around on the plate, taking the food coloring with them, making it look like the colors are quickly moving to escape from the soap.Listening text:? Judy: Oh, I'm so sorry that you were ill and couldn't come with us on our field trip. How are you feeling now? Better?? Bill: Much better, thanks. But how was it?? Judy: Wonderful! I especially liked an area of the museum called Light Games.it was really cool. They had a hall of mirrors where I could see myself reflected thousands of times!? Bill: A hall of mirrors can be a lot of fun. What else did they have?? Judy: Well, they had an experiment where we looked at a blue screen for a while, and then suddenly we could see tiny bright lights moving around on it. You'll never guess what those bright lights were!? Bill: Come on, tell me!? Judy: They were our own blood cells. For some reason, our eyes play tricks on us when we look at a blue screen, and we can see our own blood cells moving around like little lights! But there was another thing I liked better. I stood in front of a white light, and it cast different shadows of me in every color of the rainbow!? Bill: Oh, I wish I had been there. Tell me more!? Judy: Well, they had another area for sound. They had a giant piano keyboard that you could use your feet to play. But then, instead of playing the sounds of a piano, it played the voices of classical singers! Then they had a giant dish, and when you spoke into it, it reflected the sound back and made it louder. You could use it to speak in a whisper to someone 17 meters away.? Bill: It all sounds so cool. I wish I could have gone with you? Judy: I know, but we can go together this weekend. I'd love to go there again!? Bill: That sounds like a great idea!

  • 新人教版高中英語選修2Unit 3 Food and Culture-Reading and thinking教學設計

    新人教版高中英語選修2Unit 3 Food and Culture-Reading and thinking教學設計

    The discourse explores the link between food and culture from a foreign’s perspective and it records some authentic Chinese food and illustrates the cultural meaning, gerography features and historic tradition that the food reflects. It is aimed to lead students to understand and think about the connection between food and culture. While teaching, the teacher should instruct students to find out the writing order and the writer’s experieces and feelings towards Chinese food and culture.1.Guide the students to read the text, sort out the information and dig out the topic.2.Understand the cultural connotation, regional characteristics and historical tradition of Chinese cuisine3.Understand and explore the relationship between food and people's personality4.Guide the students to use the cohesive words in the text5.Lead students to accurately grasp the real meaning of the information and improve the overall understanding ability by understanding the implied meaning behind the text.1. Enable the Ss to understand the structure and the writing style of the passage well.2. Lead the Ss to understand and think further about the connection between food and geography and local character traits.Step1: Prediction before reading. Before you read, look at the title, and the picture. What do you think this article is about?keys:It is about various culture and cuisine about a place or some countries.

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Discovering useful structures教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Discovering useful structures教學設計

    The grammatical structure of this unit is predicative clause. Like object clause and subject clause, predicative clause is one of Nominal Clauses. The leading words of predicative clauses are that, what, how, what, where, as if, because, etc.The design of teaching activities aims to guide students to perceive the structural features of predicative clauses and think about their ideographic functions. Beyond that, students should be guided to use this grammar in the context apporpriately and flexibly.1. Enable the Ss to master the usage of the predicative clauses in this unit.2. Enable the Ss to use the predicative patterns flexibly.3. Train the Ss to apply some skills by doing the relevant exercises.1.Guide students to perceive the structural features of predicative clauses and think about their ideographic functions.2.Strengthen students' ability of using predicative clauses in context, but also cultivate their ability of text analysis and logical reasoning competence.Step1: Underline all the examples in the reading passage, where noun clauses are used as the predicative. Then state their meaning and functions.1) One theory was that bad air caused the disease.2) Another theory was that cholera was caused by an infection from germs in food or water.3) The truth was that the water from the Broad Street had been infected by waste.Sum up the rules of grammar:1. 以上黑體部分在句中作表語。2. 句1、2、3中的that在從句中不作成分,只起連接作用。 Step2: Review the basic components of predicative clauses1.Definition

  • 新人教版高中英語選修2Unit 1 Science and Scientists-Reading and thinking教學設計

    新人教版高中英語選修2Unit 1 Science and Scientists-Reading and thinking教學設計

    Step 5: After learning the text, discuss with your peers about the following questions:1.John Snow believed Idea 2 was right. How did he finally prove it?2. Do you think John Snow would have solved this problem without the map?3. Cholera is a 19th century disease. What disease do you think is similar to cholera today?SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.keys:1. John Snow finally proved his idea because he found an outbreak that was clearly related to cholera, collected information and was able to tie cases outside the area to the polluted water.2. No. The map helped John Snow organize his ideas. He was able to identify those households that had had many deaths and check their water-drinking habits. He identified those houses that had had no deaths and surveyed their drinking habits. The evidence clearly pointed to the polluted water being the cause.3. SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.Step 6: Consolidate what you have learned by filling in the blanks:John Snow was a well-known _1___ in London in the _2__ century. He wanted to find the _3_____ of cholera in order to help people ___4_____ it. In 1854 when a cholera __5__ London, he began to gather information. He ___6__ on a map ___7___ all the dead people had lived and he found that many people who had ___8____ (drink) the dirty water from the __9____ died. So he decided that the polluted water ___10____ cholera. He suggested that the ___11__ of all water supplies should be _12______ and new methods of dealing with ____13___ water be found. Finally, “King Cholera” was __14_____.Keys: 1. doctor 2. 19th 3.cause 4.infected with 5.hit 6.marked 7.where 8.drunk 9.pump 10.carried 11.source 12.examined 13.polluted 14.defeatedHomework: Retell the text after class and preview its language points

  • 【高教版】中職數學拓展模塊:2.3《拋物線》教學設計

    【高教版】中職數學拓展模塊:2.3《拋物線》教學設計

    一、教學目標(一)知識教育點使學生掌握拋物線的定義、拋物線的標準方程及其推導過程.(二)能力訓練點要求學生進一步熟練掌握解析幾何的基本思想方法,提高分析、對比、概括、轉化等方面的能力.(三)學科滲透點通過一個簡單實驗引入拋物線的定義,可以對學生進行理論來源于實踐的辯證唯物主義思想教育.二、教材分析1.重點:拋物線的定義和標準方程.2.難點:拋物線的標準方程的推導.三、活動設計提問、回顧、實驗、講解、板演、歸納表格.四、教學過程(一)導出課題我們已學習了圓、橢圓、雙曲線三種圓錐曲線.今天我們將學習第四種圓錐曲線——拋物線,以及它的定義和標準方程.課題是“拋物線及其標準方程”.首先,利用籃球和排球的運動軌跡給出拋物線的實際意義,再利用太陽灶和拋物線型的橋說明拋物線的實際用途。

  • 【高教版】中職數學拓展模塊:3.5《正態(tài)分布》教學設計

    【高教版】中職數學拓展模塊:3.5《正態(tài)分布》教學設計

    教學目的:理解并熟練掌握正態(tài)分布的密度函數、分布函數、數字特征及線性性質。教學重點:正態(tài)分布的密度函數和分布函數。教學難點:正態(tài)分布密度曲線的特征及正態(tài)分布的線性性質。教學學時:2學時教學過程:第四章 正態(tài)分布§4.1 正態(tài)分布的概率密度與分布函數在討論正態(tài)分布之前,我們先計算積分。首先計算。因為(利用極坐標計算)所以。記,則利用定積分的換元法有因為,所以它可以作為某個連續(xù)隨機變量的概率密度函數。定義 如果連續(xù)隨機變量的概率密度為則稱隨機變量服從正態(tài)分布,記作,其中是正態(tài)分布的參數。正態(tài)分布也稱為高斯(Gauss)分布。

  • 【高教版】中職數學拓展模塊:2.2《雙曲線》教學設計

    【高教版】中職數學拓展模塊:2.2《雙曲線》教學設計

    教學準備 1. 教學目標 知識與技能掌握雙曲線的定義,掌握雙曲線的四種標準方程形式及其對應的焦點、準線.過程與方法掌握對雙曲線標準方程的推導,進一步理解求曲線方程的方法——坐標法.通過本節(jié)課的學習,提高學生觀察、類比、分析和概括的能力.情感、態(tài)度與價值觀通過本節(jié)的學習,體驗研究解析幾何的基本思想,感受圓錐曲線在刻畫現實和解決實際問題中的作用,進一步體會數形結合的思想.2. 教學重點/難點 教學重點雙曲線的定義及焦點及雙曲線標準方程.教學難點在推導雙曲線標準方程的過程中,如何選擇適當的坐標系. 3. 教學用具 多媒體4. 標簽

  • 【高教版】中職數學拓展模塊:2.1《橢圓》優(yōu)秀教學設計

    【高教版】中職數學拓展模塊:2.1《橢圓》優(yōu)秀教學設計

    本人所教的兩個班級學生普遍存在著數學科基礎知識較為薄弱,計算能力較差,綜合能力不強,對數學學習有一定的困難。在課堂上的主體作用的體現不是太充分,但是他們能意識到自己的不足,對數學課的學習興趣高,積極性強。 學生在學習交往上表現為個別化學習,課堂上較為依賴老師的引導。學生的群體性小組交流能力與協(xié)同討論學習的能力不強,對學習資源和知識信息的獲取、加工、處理和綜合的能力較低。在教學中盡量分析細致,減少跨度較大的環(huán)節(jié),對重要的推導過程采用板書方式逐步進行,力求讓絕大多數學生接受。 1.理解橢圓標準方程的推導;掌握橢圓的標準方程;會根據條件求橢圓的標準方程,會根據橢圓的標準方程求焦點坐標. 2.通過橢圓圖形的研究和標準方程的討論,使學生掌握橢圓的幾何性質,能正確地畫出橢圓的圖形,并了解橢圓的一些實際應用。 1.讓學生經歷橢圓標準方程的推導過程,進一步掌握求曲線方程的一般方法,體會數形結合等數學思想;培養(yǎng)學生運用類比、聯(lián)想等方法提出問題. 2.培養(yǎng)學生運用數形結合的思想,進一步掌握利用方程研究曲線的基本方法,通過與橢圓幾何性質的對比來提高學生聯(lián)想、類比、歸納的能力,解決一些實際問題。 1.通過具體的情境感知研究橢圓標準方程的必要性和實際意義;體會數學的對稱美、簡潔美,培養(yǎng)學生的審美情趣,形成學習數學知識的積極態(tài)度. 2.進一步理解并掌握代數知識在解析幾何運算中的作用,提高解方程組和計算能力,通過“數”研究“形”,說明“數”與“形”存在矛盾的統(tǒng)一體中,通過“數”的變化研究“形”的本質。幫助學生建立勇于探索創(chuàng)新的精神和克服困難的信心。

  • 人教A版高中數學必修一誘導公式教學設計(1)

    人教A版高中數學必修一誘導公式教學設計(1)

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

  • 人教A版高中數學必修一對數的運算教學設計(1)

    人教A版高中數學必修一對數的運算教學設計(1)

    本節(jié)課是新版教材人教A版普通高中課程標準實驗教科書數學必修1第四章第4.3.2節(jié)《對數的運算》。其核心是弄清楚對數的定義,掌握對數的運算性質,理解它的關鍵就是通過實例使學生認識對數式與指數式的關系,分析得出對數的概念及對數式與指數式的 互化,通過實例推導對數的運算性質。由于它還與后續(xù)很多內容,比如對數函數及其性質,這也是高考必考內容之一,所以在本學科有著很重要的地位。解決重點的關鍵是抓住對數的概念、并讓學生掌握對數式與指數式的互化;通過實例推導對數的運算性質,讓學生準確地運用對數運算性質進行運算,學會運用換底公式。培養(yǎng)學生數學運算、數學抽象、邏輯推理和數學建模的核心素養(yǎng)。1、理解對數的概念,能進行指數式與對數式的互化;2、了解常用對數與自然對數的意義,理解對數恒等式并能運用于有關對數計算。

  • 人教A版高中數學必修一任意角教學設計(1)

    人教A版高中數學必修一任意角教學設計(1)

    本節(jié)課選自《普通高中課程標準數學教科書-必修一》(人 教A版)第五章《三角函數》,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,并由此進一步理解推廣后的角的概念。教學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,給學生以直觀的印象,形成正角、負角、零角的概念,明確規(guī)定角的概念,通過具體問題讓學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.數學抽象:角的概念;2.邏輯推理:象限角的表示;3.數學運算:判斷角所在象限;4.直觀想象:從特殊到一般的數學思想方法;

  • 人教A版高中數學必修二總體離散程度的估計教學設計

    人教A版高中數學必修二總體離散程度的估計教學設計

    問題二:上述問題中,甲、乙的平均數、中位數、眾數相同,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行度量。根據上述數據計算得: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據的離散程度。由極差發(fā)現甲的成績波動范圍比乙的大。但由于極差只使用了數據中最大、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據離散程度的辦法嗎?我們知道,如果射擊的成績很穩(wěn)定,那么大多數的射擊成績離平均成績不會太遠;相反,如果射擊的成績波動幅度很大,那么大多數的射擊成績離平均成績會比較遠。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版高中數學必修二總體取值規(guī)律的估計教學設計

    人教A版高中數學必修二總體取值規(guī)律的估計教學設計

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

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