U2 Period 2 Starting out & Understanding ideas-【优化探究】2025-2026学年新教材高中英语选择性必修第三册同步导学案配套PPT课件（外研版）

选择性必修第三册 Unit 2　A life's work Period 2　Starting out & Understanding ideas—Language points 内容索引 NEIRONGSUOYIN 进阶提升 写作微练 课时作业 巩固提升 课堂检测 素养达标 词汇识记 Ⅰ.核心单词 1．pose v．(使)摆好姿势 She was once a fashion model who was good at posing in front of camera lens. 她曾经是一位擅长在镜头前摆造型的时尚模特。 2．grocery n．食品杂货店 It was in the grocery store at the corner that I came across that web celebrity. 正是在街角的超级市场里，我遇到了那个网络名人。 3．fascination n．着迷，迷恋(→fascinate v．深深吸引；迷住→fascinating adj.极有吸引力的；迷人的) People were deeply fascinated by his fascinating performance，intently viewing in great fascination. 人们被他引人入胜的表演深深地迷住了，目不转睛地专心观看着。 4．fashion n．时尚(→fashionable adj.时尚的)   According to the fashion model，it's not fashionable to wear short skirts at the moment，because it has been out of fashion. 那位时尚模特说，现在穿短裙并不时尚，因为它已经过时了。 in/out of fashion流行/过时 5．uncomplicated adj.不复杂的，简单的；单纯的(→complicated adj.复杂的，不简单的) World-famous fashion photographer as she is，her approach to life was uncomplicated. 尽管她是世界著名的时尚摄影师，但她的生活方式并不复杂。 6．faraway adj.遥远的 They have just returned from faraway places with wonderful stories to tell. 他们刚从遥远的地方回来，有很多精彩的故事要讲。 7．celebrity n．名人，明星；名望；名誉 Although Yuan Longping was a celebrity，deep down，he attached little importance to celebrity or money. 袁隆平虽然是名人，但在内心深处，他并不重视名利。 8．craft n．(某一行业所需的)技能(→craftsman n．工匠；手艺人→craftsmanship n．手艺；技艺；工艺) He is a famous craftsman whose traditional crafts of basket-weaving showed great craftsmanship spirit. 他是一位著名的工匠，其传统的编篮工艺展现了伟大的工匠精神。 9．trial n．试验；审讯；审判   No one will break new ground in a field unless by trial and error. 除非通过反复试验，否则没有人能在某一个领域开辟新的天地。 by trial and error反复试验(以得出最佳结果) 10．acclaim n．表扬，赞赏 v．称赞；赞扬 His excellent craftsmanship showed in the exhibition won him international acclaim. 他在展览中展示的精湛技艺为他赢得了国际赞誉。 11. harsh adj.恶劣的，艰苦的，严峻的 However harsh the situation，we will carry on the project until it succeeds. 无论情况多么严峻，我们都会继续进行这个项目，直到它成功为止。 12．prosperous adj.富裕的，繁荣的，兴旺的，发达的(→prosperity n．繁荣) Wish our country to be prosperous and the people to live in peace. 祝愿我们的国家繁荣昌盛，人民安居乐业。 Ⅱ.阅读单词 1．lens n．(照相机、摄像机的)镜头 2．anthropologist n．人类学家 3．atomic adj.原子能的；核能的 4．hydrogen n．氢 5．propulsion n．(车辆等的)推进力 6．shun v．(故意)避开，躲开 7．spotlight n．聚光灯；媒体的关注 默写练习 【限时：10分钟】 Ⅰ.默写重点单词 1．____________ v．(使)摆好姿势 2．____________ n．食品杂货店 3．____________ n．名人，明星 4．____________ n．试验 pose grocery celebrity trial 5．fascinate v．深深吸引；迷住→____________ n．着迷，迷恋→____________ adj.着迷的；被强烈吸引的→____________ adj.吸引人的；迷人的 6．fashion n．时尚→____________ adj.时尚的，流行的 7．complicated adj.复杂的；难懂的→____________ adj.不复杂的，简单的；单纯的 fascination　 fascinated　 fascinating fashionable uncomplicated 8. prosper vi.繁荣；兴旺；成功；发达→____________ adj.富裕的，繁荣的，兴旺的，发达的→__________ n．繁荣；兴旺；成功；昌盛 prosperous　 prosperity Ⅱ.词形变化填空 1．Compared with other areas, this ____________ (prosperity)city has a financial environment that is more favorable to job creation. 2．The scientist's ____________ (fascinate) with the unknown drove him to conduct ground－breaking research. 3．I'm more than delighted to know that you're quite interested in ancient Chinese ____________ (celebrity). prosperous fascination celebrities 4．The problem is _____________ (complicated) so you can solve it by yourself. Trust yourself. 5．With Earth Day ____________ (approach), a lot of posters were put up in our school to call on us to take action for a greener earth. uncomplicated approaching Ⅲ.默写核心短语 1．________________只不过；仅仅 2．________________为……摆好姿势 3．________________与……一样多 4．________________对……入迷/着迷 5．________________对……的热爱/奉献 6．________________将……注入……，使……融入 7．________________不管，不顾 nothing more than pose for as much as fascination with devotion to... put...into... regardless of 8．____________一次也没有；未曾有过 9．___________……的方式/方法 10．____________对……酷爱 11．________________反复试验(以得出最佳结果) 12．__________退让；认输 13．______________________不拘一格地思考，跳出框框思考 14．________________开辟新的领域；有新发现 not once approach to... passion for... by trial and error　 back down　 think outside the box break new ground Ⅳ.选词填空 从核心短语中选择合适的完成下列句子 1．Though all our trials have failed，in no case will we ________________. 2．Only if you __________________ can you put forward a creative way to solve the complicated problem. 3．Only if we think outside the box can we ________________ and be on the cutting edge. back down break new ground think outside the box 4．All children are entitled to a high－quality education ________________ their race, sex or family income. 5．For chimps, music is ________________ a lot of noise, in spite of their DNA being 96 percent similar to that of humans. regardless of nothing more than 词汇精研 1.devotion to...对……的热爱/奉献 [教材原文] Moreover, what made Cunningham great was his devotion to photography, and the hours and hours of sheer hard work he put into his work. 此外，坎宁安的伟大之处在于他对摄影的热爱，以及他在工作中投入的大量时间和精力。 (1)devote v．献身；投入；专心；热爱 devote...to (doing)...把……献给……；致力于…… devote oneself to致力于；献身于；专心于 (2)devoted adj.挚爱的；忠实的 be devoted to (doing) sth.献身于；专心致志于 [即学即练]——单句语法填空/完成句子 ①I still remember what you have devoted to____________ (improve) our oral English and English writing. ②(译林选必2U2)Her story is a remarkable example of how hard work and ____________ (devote) can lead to sporting excellence. improving devotion ③(2022·全国甲卷)总而言之，现在是我们致力于保护海洋的时候了。保护海洋就是保护我们自己。 All in all, it is high time that ________________________________ ________________________________________. To protect ocean is to protect ourselves.(应用文佳句之倡议书) we devoted/should devote ourselves to protecting ocean 2.regardless of不管，不顾 [教材原文] Cunningham would go out onto the streets of New York each and every day, regardless of the weather. 不管天气如何，坎宁安每天都会走上纽约的街头。 in spite of＝despite尽管；不顾 despite/in spite of the fact that...尽管事实上…… [即学即练]——单句语法填空/一句多译 ①Regardless ______ what the obstacles in life may be, I will finish my race to the best of my ability. ②尽管天气不好，飞机还是按时起飞了。 →The plane took off on time_______________________________. →___________________________________________________, the plane took off on time. of　 despite/in spite of the bad weather Despite/In spite of the fact that the weather was bad 3.approach n．(待人接物或思考问题的)方式，方法，态度；接近；通路 v．接近；着手处理，对付 [教材原文] Although he was a world－famous fashion photographer, Cunningham's approach to life was uncomplicated. 虽然坎宁安是一位世界著名的时尚摄影师，但他的生活方式却并不复杂。 (1)be approaching正在/将要接近 (2)approach to (doing)sth.(做)……的方法/途径；通往……的道路 at the approach of...在……临近的时候 with the approach of...随着……的来临/临近 [即学即练]——单句语法填空/句式升级 ①(译林选必2U4)To achieve this aim, many approaches to __________ (create) true AI have been put forward, including “deep learning”， which enables a machine to improve its own performance by learning from the results of its previous actions. ②(译林选必3U1)Stars were already shining brightly in the darkening sky and it was getting cold ____________ the approach of the night. creating with ③As the College Entrance Examination approaches, students are feeling increasingly nervous and pressured. →_____________________________________________， students are feeling increasingly nervous and pressured.(with复合结构) With the College Entrance Examination approaching [温馨提示]　表示“方法、方式”的短语荟萃： (1)approach：approach to (doing) sth. (2)way：in this way to do/of doing sth. (3)method：with this method of doing sth. (4)manner：in a(n)...manner of doing sth.   4.passion n．激情；盛怒，激愤；酷爱；爱好 [教材原文] Cunningham's passion for photography lasted throughout his life. 坎宁安对摄影的热爱贯穿他的一生。 (1)have a passion for对……的酷爱 with passion热情洋溢地，充满激情地 (2)passionate adj.热诚的，狂热的 passionately adv.充满热情地；激动地 [即学即练]——单句语法填空/完成句子 ①(人教选必1U1)While working there, out of a strong passion ______ knowledge, Einstein continued to study, earning a doctorate in physics in 1905. ②His ____________ (passion) speech about the importance of education inspired many young people to pursue their dreams. for passionate ③Jack说，他对中国传统文化充满热情，这激发了他学习普通话和研究中国历史。 Jack said he ____________________________________________， which inspired him to learn Mandarin and study Chinese history. had a passion for traditional Chinese culture 句式剖析 强调句型 [教材原文] These things were real, and it was within their reality that Cunningham saw both beauty and potential. 这些东西都是真实的，正是在这种真实中，坎宁安看到了美好和潜质。 (1)基本结构：It＋is/was＋被强调部分＋that/who...(强调主语且主语指人时可以用who，其他情况一律用that) (2)一般疑问句：Is/Was＋it＋被强调部分＋that/who... (3)特殊疑问句：特殊疑问词＋is/was＋it＋that... (4)强调not...until...句型的句式：It＋is/was＋not until...＋that... [即学即练]——单句语法填空/完成句子/句式升级 ①(2023·新课标Ⅰ卷)It was at that moment ______ a warm surge of streams washed through my body，and the image of the horse emerged in my mind，encouraging me to continue writing. ②(2022·新高考Ⅰ卷)正是他勇敢的心和坚定的信念，才使得一些不同寻常的事情最终发生。 __________________________________ could make something unusual happen finally.(续写佳句之主旨升华) that It was his brave heart and strong faith that ③(2022·浙江6月卷)We didn't open the door and begin serving dinner until a couple of hours later. →________________________________________________________________________(强调句) It wasn't until a couple of hours later that we opened the door and began serving dinner. 进阶提升 写作微练 个人品质   课文词汇 1．ride an ordinary bicycle around the streets of New York骑着一辆普通的自行车在纽约街头穿梭 2．always wear the same blue worker's jacket and simple black running shoes总是穿着同一件蓝色工装夹克和样式简单的黑色跑鞋 3．his devotion to photography他对摄影的热爱 4．regardless of the weather不管天气如何 5．hardly ever take a day off几乎从未休过一天假 6．live in a small apartment with a shared washroom住在一间与其他人共用浴室的小公寓里 7．value his integrity珍视他的正直 8．focus on his craft专注于他的技能 补充词汇 9．play a role in...在……中起作用 10．by trial and error反复试验(以得出最佳结果) 11．seek no fame不追求名声 12．refuse to back down拒绝认输，拒绝退让 课本原句 1．Through his fascination with what people were wearing, and not who they were, he opened the doors of fashion to everyone—fashion as he saw it belonged to the people, not just to high society and big brands. 他通过对人们穿着的迷恋，而不是关注这些人是谁，向所有人打开了时尚的大门——在他看来，时尚属于大众，而不仅仅属于上流社会和大品牌。 2．Moreover, what made Cunningham great was his devotion to photography, and the hours and hours of sheer hard work he put into his work. 此外，坎宁安的伟大之处还在于他对摄影的热爱，以及他在工作中投入的大量时间和精力。 3．This lack of self－interest and promotion kept Cunningham focused on his craft, enabling him to capture New York's unique street style. 对自身利益和升迁毫不关注，这使坎宁安能够专注于自己的技能，捕捉到纽约独特的街头风格。 4．Cunningham's passion for photography lasted throughout his life. 坎宁安对摄影的热爱贯穿他的一生。 其他表达 5．He put all his heart into the work and always worked until midnight, having no time to think about himself, but only the people. 他全身心地投入工作，经常工作到午夜，没有时间为自己着想，一心只为人民着想。 6．Owing to the fact that she can do whatever she has chosen with great perseverance, she has made great achievements in many fields. 由于她能以极大的毅力去做她选择的任何事，所以她在许多领域都取得了巨大的成就。 被誉为“杂交水稻之父”的袁隆平在帮助中国实现粮食自给自足方面发挥了至关重要的作用。 为了帮助更多的人获得足够多的粮食，袁隆平致力于提高杂交水稻的产量。通过反复试验，产量增加了，他的杂交水稻也在帮助解决世界各地的粮食问题。 袁隆平的成就让他在国内外赢得了许多奖项和赞誉。然而，这位谦虚的科学家却避开了聚光灯。他曾经说过：“我的人生目标就是帮助所有人远离饥饿。” Known as the “Father of Hybrid Rice”， Yuan Longping played a crucial role in helping China achieve food self-sufficiency. To help more people to get enough food, Yuan devoted himself to improving the output of hybrid rice.By trial and error, the output has increased and his hybrid rice is also helping to solve food problems around the world. Yuan's achievement brought him many awards and acclaim both at home and abroad.However, the modest scientist shunned the spotlight.“My life goal is to help all people stay away from hunger，” he once said. 课堂检测 素养达标 Ⅰ.单词拼写 1．In the Internet era, one could become a web _________ (名人) within seconds, attracting thousands or even millions of followers with just a single post or video. 2．Before going into their meeting, the six foreign ministers ________ (摆好姿势) for photographs next to the Tian'anmen Square. celebrity posed 3．China's largest _________ (超级市场) store chain will be bringing two new stores to my hometown. 4．Despite their outstanding _______ (技能), these masters of art lead a(n) ____________ (简单的) way of life. 5．Today's clothing industry has made it easier for people to keep up with changes in ____________ (时尚) without having to spend a great amount of money. grocery　 crafts uncomplicated fashion Ⅱ.完成句子 1．正是因为恶劣的天气，才不得不推迟这场足球赛。 ____________________________________ the football match had to be put off. 2．为了通过考试拿到证书，他耗费了大量的时间和精力。 He_______________________________________________and getting the certificate. It was because of the bad weather that has put a lot of time and effort into passing the exam 3．无论支付能力如何，每个人都有权得到良好的医疗保障。 Everyone has the right to good medical care __________________ __________________. 4．人们将铭记这名科学家对这项事业的无私奉献。 The scientist will be remembered for _____________________ _________________. 5．无论发生什么事，他都不会介意的。 ___________________________________, he would not mind. regardless of their ability to pay his selfless devotion to this cause No matter what/Whatever happened 课时作业 巩固提升 Ⅰ.单句语法填空 1．With all your energies ____________ (focus) on the study of French, you are sure to master the language soon. 2．We are all touched by his integrity and ________ (devote) to his patients, which inspire us to be better people in our own lives. 3．You really have to put a large amount of time and effort _________ finishing your first task well. focused devotion into 4．These lovely girls listened in ____________ (fascinate) to the story the teacher was telling, their eyes wide opened and focused on every detail. 5．My Chinese teacher knew my fascination _______ reading and made sure I had great books to read. 6．Those who change mobile phones frequently will pay a heavy price for being ____________ (fashion). fascination with fashionable 7．To get your opinions across, you need to change your approach to ____________ (express) them. 8．The instructions for the product were ____________ (complicated) and easy to follow, which made the whole process very smooth and efficient. 9．I've decided to take a few days _______ next week because I have been too tired so far. 10．Years of hard training and the strong passion _____ the sports earned him the championship in the Olympic Games. expressing uncomplicated for off Ⅱ.完成句子 1．她没有打字的经验。同时，那种工作她也不感兴趣。(倒装句) She has no experience in typing.At the same time, __________________________． 2．无论多么艰难，我永远不会放弃成为一名成功的作家的梦想。(no matter＋疑问词) ________________________， I will never give up my dream of becoming a successful writer. nor does the job interest her No matter how hard it is　 3．正是他开车时的心不在焉才造成了这次严重的事故。(强调句) ______________________________________ caused the serious accident. 4．保持环境清洁、无污染是实现健康生活的关键一步。(keep＋宾语＋宾语补足语) ________________________________________________ is the key step to make life healthy. It was his absence of mind during driving that Keeping the environment clean and free of pollution Ⅲ.阅读理解 You may be familiar with some of ancient Chinese musical instruments called erhu or guzheng, but you may not be familiar with some other ancient Chinese music instruments, such as the hujia.These instruments are gradually dying out because of a lack of attention and preservation for them.But now, a young man in Northeast China's Shenyang City is hoping to change that. Liu Da was born in Shenyang City, Liaoning Province, China and graduated from a music university two years ago, where he majored in piano.But rather than a pianist, Liu is now more like a carpenter for most of the day.And it's all for one thing: to recreate the musical instruments of ancient China. “In the country where I went to college, during major festivals, the artists from around the world would dress up in their own traditional clothes and use their own musical instruments to play.I had an opportunity to see a lot of music instruments in these festivals.So I was inspired to present our culture, our music as well, from where I'm from，” Liu said. Liu Da started to recreate ancient Chinese music instruments after he graduated from university.It usually takes him between six to eight months to make one ancient instrument.Liu Da has even learned the Manchu and Mongolian language, so he could consult historic files to make accurate designs. During the last two years, he has recreated 23 different kinds of musical instruments from ancient China, some dating back over thousands of years.“This musical instrument is called hujia, a reed pipe (牧笛).It dates back to 3，000 BCE.It's very old and it has a very interesting history，” Liu Da said. Liu Da's next plan is to form a band with these 23 instruments to get an authentic flavor for ancient music. [语篇解读]　本文是一篇说明文。文章介绍了沈阳一位钢琴专业的毕业生为改变中国古代乐器逐渐消失的现状，亲手重造中国古代乐器的经历。 2 3 1 4 1．Why are some ancient Chinese musical instruments dying out? A．They have lost their value in the modern society. B．People in China are not able to play them. C．People pay no attention to preservation for them. D．People in China don't know how to recreate them. 答案：C 2 3 1 4 细节理解题。根据第一段中的“These instruments are gradually dying out because of a lack of attention and preservation for them.”可知， 中国的一些古代乐器正在消失是因为人们不注意保护它们。 2．What inspired Liu Da to recreate ancient Chinese musical instruments? A．No artists were invited to play in major festivals in his university. B．Musicians played their own musical instruments in festivals. C．Artists from other countries knew little about Chinese culture and music. D．Chinese modern musical instruments were not popular with artists. 答案：B 2 3 1 4 细节理解题。根据第三段内容可知，各国音乐家们在节日里演奏自己国家的乐器，激发了刘达重现中国古代乐器的灵感。 2 3 1 4 3．What can we learn from the text? A．Liu Da began making musical instruments when he was in the university. B．Ancient Chinese musical instruments are easy to recreate for Liu Da. C．Liu Da has recreated 23 different kinds of musical instruments from the world. D．Liu Da has made great efforts to recreate ancient Chinese musical instruments. 答案：D 2 3 1 4 推理判断题。根据第四段中的“It usually takes him between six to eight months to make one ancient instrument.”及第五段刘达说的话可推知，刘达在再现中国古代乐器方面付出了巨大的努力。 2 3 1 4 4．What does Liu Da plan to do in the near future? A．To form a band with instruments he recreated. B．To recreate more musical instruments. C．To go for further study. D．To perform all around the world. 答案：A 2 3 1 4 细节理解题。根据最后一段可知，刘达计划在不久的将来用他重新制作的乐器组建一个乐队。 2 3 1 4 Ⅳ.完形填空 Several years ago, I was bitten by a mosquito carrying West Nile virus.I was lying in bed for three months and had 1 with speech.My left leg didn't work right.About two years and a half into this, I 2 I was never going to be able to work again, so I started 3 something that would give my 4 a sense of meaning and purpose.So I 5 art. When I do art, my brain becomes very still and 6 and the only thing that exists is that moment of creating with the paintbrush and the colors and the paper.And it's such a 7 place to be because that's all there is.It's just that moment of 8 ． And with watercolors, there are ways in which you 9 the paint onto a wet piece of paper and it just sort of spreads, and you can 10 another drop of paint to it, a 11 color, and that will spread.And you get some just 12 combinations that you can't control; that just 13 ． The most important thing is to have 14 in the process of doing it because, for me, that's the place that I like to be.It is in the process and not so 15 to how it looks in the end. [语篇解读]　本文是一篇记叙文。文章讲述了作者在经历了一次人生不幸之后，通过学习水彩画，享受生活乐趣的故事。 2 3 1 4 1．A.problems　　　　　　　 B．lessons C．connections D．conditions 答案：A 根据上文“I was bitten by a mosquito carrying West Nile virus.I was lying in bed for three months”可知，作者感染病毒之后卧床三个月，说明这次遭遇很严重，使她说话都有困难(problem)。 5 6 7 8 9 10 11 12 13 14 15 2．A.dreamt B．realized C．admitted D．intended 答案：B 根据上文“My left leg didn't work right...and a half into this”可知，作者意识到(realize)自己再也不能工作了。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 3．A.making up B．taking down C．looking for D．putting forward 答案：C 根据上文“I 2 I was never going to be able to work again”可知，作者不能再工作了，所以希望寻找(look for)一些能够使生活(life)有意义的事情来做。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 4．A.mind B．family C．career D．life 答案：D 参见上题解析。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 5．A.turned to B．showed off C．dealt with D．lived on 答案：A 根据语境可知，作者想做一些有意义的事情，因此转向(turn to)了艺术，开始学习艺术。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 6．A.painful B．quiet C．messy D．full 答案：B 根据空前的“still”可知，当作者从事艺术的时候，作者的大脑变得非常平静(quiet)。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 7．A.strange B．noisy C．wonderful D．distant 答案：C 根据上文“my brain becomes very still...and the paper”和下文“because that's all there is”可推知，这是一个奇妙的(wonderful)地方。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 8．A.acting B．playing C．thinking D．creating 答案：D 根据上文“that moment of creating”可知，此处表示创作(create)的那一刻。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 9．A.drop B．pour C．stick D．apply 答案：A 根据下文“the paint onto a wet piece of paper and it just sort of spreads”和“that you can't control”可知，创作水彩画的时候，你可能会把颜料滴(drop)到一张湿的纸上，然后它就会扩散。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 10．A.bring B．add C．remove D．mix 答案：B 根据语境可知，可以增加(add)另外一种颜料到这张湿的纸上，让它进行扩散，然后自动地形成一幅画。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 11．A.thick B．mild C．different D．bright 答案：C 根据常识可知，在你增加另外一种颜料的时候，应该会选择不同的(different)颜色。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 12．A.complex B．familiar C．ordinary D．beautiful 答案：D 根据上文“and that will spread”及下文“that you can't control”可知，不同的颜料放在一起会扩散，自动形成(happen)美丽的(beautiful)组合。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 13．A.escapes B．happens C．waits D．disappears 答案：B 参见上题解析。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 14．A.patience B．determination C．talent D．fun 答案：D 根据语境可知，对于作者来说，进行这种艺术创作，最重要的是在过程中享受其中的乐趣(fun)。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 15．A.attached B．accustomed C．compared D．exposed 答案：A 根据上文“have 14 in the process of doing it”可知，作者认为自己进行这种爱好的时候，享受的是快乐的过程，而无关于(be attached to)最后的作品会是什么样子。 2 3 1 4 5 6 7 8 9 10 11 12 13 14 15 $$