The theme of this unit focuses on “space exploration.” Students will learn about the training and experience needed to become an astronaut. The text is mainly about the development of space exploration. On the one hand, the text helps students to have a good understanding about the great feats humans have achieved, on the other hand, they will further understand the contributions that we Chinese have achieved, and feel confident and proud about our homeland and strengthen their love for our country. The teacher should instruct students to aim high and study harder to make great progress in the space career if possible.1. Read about the development and value of space exploration.2. Explore the mysteries of the universe and the achievements in space exploration.3. Skillfully use the vocabulary of this text to cultivate self-study ability 4. Develop cooperative learning ability through discussion.1. Enable the Ss to talk about the development and value of space exploration.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.3. Help Ss comprehend the main reasons for space exploration. Multi-media, textbook, notebooks.Step 1: Warming up and predictionLook at the title and the pictures of the text and predict what the text will be about?2. What are the main reasons for space exploration?
Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.
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。
【核心素養(yǎng)提升點】學會將抽象信息進行可視化表達,提高信息處理能力和分析、推理等高階思維品質;在跨文化交際中學會以國際視野接受和包容不同的文化。 5.Read Paragraph 2, draw a mind map and answer the questions. Q1:What did Jo learn about Tombe’s life? Q2:What kind of life do the natives lead? Read paragraph 2-5 and draw a mind-map. (Focus on accommodation, possession, diet and belief) 【設計意圖】引導學生利用思維導圖和問題鏈等形式來厘清當?shù)厝说纳罘绞剑玫靥幚砗蜌w納信息 【核心素養(yǎng)提升點】提高信息處理能力、分析和歸納能力,包容異國文化、擴展國際視野。 6.Read Paragraph 3 and answer the questions. Q1:What was Jo’s feeling upon arriving her own home? Q2:Why would she feel that way? Q3:Do you think “It was such a privilege to have spent a day with Tombe’s family”? 【設計意圖】通過提問,讓學生理解Jo的苦并快樂的心情,并通過對“It was such a privilege to have spent a day with Tombe’s family”這句話的理解,體驗志愿者生活的偉大。 【核心素養(yǎng)提升點】學會對信息的綜合和歸納,從而理解作者所表達的觀點。 Activity4: Summarize the change of Jo's feelings
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
【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。
本閱讀材料的話題是交際中的肢體語言,作者從三個方面講述了肢體語言的特征與作用,通過主題句和舉例闡述的方式讓讀者了解不同文化中肢體語言的相同或者不同的意義,并從更抽象、概括的維度深入認識肢體語言的特點,理解肢體語言的作用?;谥w語言的特點,作者提醒讀者在與人交流中,尤其是當文化背景有差異的時候,要使用得體的肢體語言,尊重、理解和包容不同的文化,進行有效、有素養(yǎng)的溝通。文本共由六個段落組成,篇章結構為“總—分”。第一段用簡練的語言引出了話題,并且從我們自身表達的需要和了解他人感受兩個角度講述了肢體語言的作用。第二段闡述了肢體語言的第一個重要特點——肢體語言在不同的文化中有不同的內(nèi)涵——這也是文中寫作篇幅最大的一個要點,最為重要。通過講述肢體語言的這一特點,作者向讀者傳遞了要尊重不同的文化、要使用與所在文化相宜的肢體語言。
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。
本活動旨在落實課時教學目標2。 1.Think, discuss and share. Students form groups of 4, discuss about the given ending make comments. Q1: Do you like the ending? Q2: Was it a logical ending? Why so or why not? [設計意圖]通過引導學生思考、討論、評價,比較個人、同伴所預測的結局和聽力文本所給定的結局的異同點,深化對文本的認知,發(fā)展學生的評判性思維能力。 Activity 4: Exploring Asimov’s three laws of robotics and the purpose of the writing 本活動旨在落實課時教學目標3。 1. Get to know Isaac Asimov’s three laws of robotics. The teacher shares Isaac Asimov’s three laws of robotics. The three laws state that: ①A robot may not injure a human being or, through inaction, allow a human being to come to harm. ②A robot must obey any orders given to it by human beings, except where such orders would conflict with the First Law. ③A robot must protect its own existence as long as such protection does not conflict with the First or Second Law. Q: How does Tony’s story relate to the laws? 2. Figure out Isaac Asimov’s purpose of writing Satisfaction Guaranteed. The students express their opinions about the author’s writing purpose. Q: Why did Isaac Asimov write such a story? S: To explore the relationship between robots and humans. [設計意圖]通過了解艾薩克·阿西莫夫所制定的機器人三大定律,加深學生對文本的理解,深入探究文本的主題意義。推理作者的寫作目的,聯(lián)系生活實際,思考人類與機器人的關系。
本活動旨在落實課時目標3。 The Student Union is looking for three students for a 3-week voluntary program in Guizhou province. The volunteers have got to be high school students, with a persevering personality and experiences in overcoming adversity. The volunteers need to stay, eat and teach with 20 pupils in a small school up on the hill of a village. There are no facilities but desks and a blackboard in the school. And there is no take-away food to be bought anywhere; the only way to feed yourself is to cook. You’re interested in applying. Write your application letter introducing what adversity you have ever overcome and how persevering you are as well as what you want to do when at work. Dear Student Union,【設計意圖】此任務旨在遷移一、二課時所學,解決實際問題。學生對比自己經(jīng)歷過的挑戰(zhàn)或挫折,寫信給學生會申請前往貴州擔任短期支教教師,把個人以前是怎么戰(zhàn)勝挫折的經(jīng)過書寫出來。結合所學,遷移創(chuàng)新,分析解決自身實際問題,在真實情境中學生通過仿寫進行主題語言的精確輸出。完成任務的過程中,能較多地使用已學語言、內(nèi)容、結構和寫作手法來描述自己面對挫折的處理方式、態(tài)度和應有的品質,近一步激發(fā)學生樹立正確的價值觀,學會逆境出人才,堅忍不拔,從容不迫,又做到謙讓、分享和合作。課后學生修正習作,再次提交。
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。
本活動旨在落實課時目標3。 Think about the following questions and talk about your own attitude in pairs.Q1: As for this topic,what impresses you the most in the passage?Q2: What do you think of the future of China’s further exploration in sea? Are you in favor of the further exploration?Why or why not? 【設計意圖】該活動是一個完全開放性的活動,每個學生都會有不同的答案。運用遷移所學,自由口頭表達自己對海洋探索的態(tài)度。對于中國海洋探索的未來,每個人的想法是不一樣的,有樂觀,有擔憂,有認為值得投入,也有認為不值得付出太大代價,這里給學生自由表達的空間只要學會有支撐自己觀點的事實就可以了,進一步培養(yǎng)學生批判性思維和正確的價值觀。 Assignment: 此任務旨在遷移一、二課時所學,培養(yǎng)學生辯證分析問題的能力。 Write about your idea of the future of China’s sea exploration. And add your attitude towards the effort China have made in sea exploration. You’re expected to use the language and the writing technique learnt in the passage.
本單元閱讀文本向中學生推薦職業(yè)能力測試(Career Aptitude Test),旨在建議學生利用職業(yè)傾向測試來發(fā)現(xiàn)自己更感興趣、更有潛力的學習或職業(yè)方向,并規(guī)劃自己的未來職業(yè)。 本文采用了建議性文本,全篇從職業(yè)生涯的重要意義講起,針對中學生對職業(yè)規(guī)劃比較迷茫的現(xiàn)狀,提出了職業(yè)傾向測試這一建議。全文共七段,其中第一段和第二段為第一部分,其余五段為第二部分。第一部分論述職業(yè)的重要性和職業(yè)生涯規(guī)劃的最佳時間是在校期間,第二部分提出解決職業(yè)選擇困惑可以通過完成職業(yè)能力測試,介紹了不同種類的職業(yè)傾向測試,結合圖表詳細說明其中一種操作步驟,并提醒職業(yè)建議也基于學歷和經(jīng)驗,最后一段概括論述,建議學生通過職業(yè)能力測試這一有效的工具,找到自己真正熱愛的事物。 在文本教學設計時,要幫助學生梳理有關職業(yè)的話題語言。閱讀策略層面,指導學生通過學習圖表和圖形,在有限的空間內(nèi)獲取廣泛信息,如閱讀圖表標題,圖表上的標簽,X軸Y軸上的數(shù)據(jù)所指。
[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。
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
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。
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
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.
《奇偶性》內(nèi)容選自人教版A版第一冊第三章第三節(jié)第二課時;函數(shù)奇偶性是研究函數(shù)的一個重要策略,因此奇偶性成為函數(shù)的重要性質之一,它的研究也為今后指對函數(shù)、冪函數(shù)、三角函數(shù)的性質等后續(xù)內(nèi)容的深入起著鋪墊的作用.課程目標1、理解函數(shù)的奇偶性及其幾何意義;2、學會運用函數(shù)圖象理解和研究函數(shù)的性質;3、學會判斷函數(shù)的奇偶性.數(shù)學學科素養(yǎng)1.數(shù)學抽象:用數(shù)學語言表示函數(shù)奇偶性;2.邏輯推理:證明函數(shù)奇偶性;3.數(shù)學運算:運用函數(shù)奇偶性求參數(shù);4.數(shù)據(jù)分析:利用圖像求奇偶函數(shù);5.數(shù)學建模:在具體問題情境中,運用數(shù)形結合思想,利用奇偶性解決實際問題。重點:函數(shù)奇偶性概念的形成和函數(shù)奇偶性的判斷;難點:函數(shù)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。
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,又學習了單調(diào)性、最值、奇偶性的基礎上,借助實例,總結出冪函數(shù)的概念,再借助圖像研究冪函數(shù)的性質.課程目標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;3、通過觀察、總結冪函數(shù)的性質,培養(yǎng)學生概括抽象和識圖能力.數(shù)學學科素養(yǎng)1.數(shù)學抽象:用數(shù)學語言表示函數(shù)冪函數(shù);2.邏輯推理:常見冪函數(shù)的性質;3.數(shù)學運算: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??;5.數(shù)學建模:在具體問題情境中,運用數(shù)形結合思想,利用冪函數(shù)性質、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;難點:冪函數(shù)的單調(diào)性及比較兩個冪值的大?。?/p>