1.确定研究对象,明确哪个是解释变量,哪个是响应变量;2.由经验确定非线性经验回归方程的模型;3.通过变换,将非线性经验回归模型转化为线性经验回归模型;4.按照公式计算经验回归方程中的参数,得到经验回归方程;5.消去新元,得到非线性经验回归方程;6.得出结果后分析残差图是否有异常 .跟踪训练1.一只药用昆虫的产卵数y与一定范围内的温度x有关,现收集了6组观测数据列于表中: 经计算得: 线性回归残差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分别为观测数据中的温度和产卵数,i=1,2,3,4,5,6.(1)若用线性回归模型拟合,求y关于x的回归方程 (精确到0.1);(2)若用非线性回归模型拟合,求得y关于x回归方程为 且相关指数R2=0.9522. ①试与(1)中的线性回归模型相比较,用R2说明哪种模型的拟合效果更好 ?②用拟合效果好的模型预测温度为35℃时该种药用昆虫的产卵数.(结果取整数).
由样本相关系数??≈0.97,可以推断脂肪含量和年龄这两个变量正线性相关,且相关程度很强。脂肪含量与年龄变化趋势相同.归纳总结1.线性相关系数是从数值上来判断变量间的线性相关程度,是定量的方法.与散点图相比较,线性相关系数要精细得多,需要注意的是线性相关系数r的绝对值小,只是说明线性相关程度低,但不一定不相关,可能是非线性相关.2.利用相关系数r来检验线性相关显著性水平时,通常与0.75作比较,若|r|>0.75,则线性相关较为显著,否则不显著.例2. 有人收集了某城市居民年收入(所有居民在一年内收入的总和)与A商品销售额的10年数据,如表所示.画出散点图,判断成对样本数据是否线性相关,并通过样本相关系数推断居民年收入与A商品销售额的相关程度和变化趋势的异同.
4.写出下列随机变量可能取的值,并说明随机变量所取的值表示的随机试验的结果.(1)一个袋中装有8个红球,3个白球,从中任取5个球,其中所含白球的个数为X.(2)一个袋中有5个同样大小的黑球,编号为1,2,3,4,5,从中任取3个球,取出的球的最大号码记为X.(3). 在本例(1)条件下,规定取出一个红球赢2元,而每取出一个白球输1元,以ξ表示赢得的钱数,结果如何?[解] (1)X可取0,1,2,3.X=0表示取5个球全是红球;X=1表示取1个白球,4个红球;X=2表示取2个白球,3个红球;X=3表示取3个白球,2个红球.(2)X可取3,4,5.X=3表示取出的球编号为1,2,3;X=4表示取出的球编号为1,2,4;1,3,4或2,3,4.X=5表示取出的球编号为1,2,5;1,3,5;1,4,5;2,3,5;2,4,5或3,4,5.(3) ξ=10表示取5个球全是红球;ξ=7表示取1个白球,4个红球;ξ=4表示取2个白球,3个红球;ξ=1表示取3个白球,2个红球.
三个“二次”即一元二次函数、一元二次方程、一元二次不等式是高中数学的重要内容,具有丰富的内涵和密切的联系,同时也是研究包含二次曲线在内的许多内容的工具 高考试题中近一半的试题与这三个“二次”问题有关 本节主要是帮助考生理解三者之间的区别及联系,掌握函数、方程及不等式的思想和方法。课程目标1. 通过探索,使学生理解二次函数与一元二次方程,一元二次不等式之间的联系。2. 使学生能够运用二次函数及其图像,性质解决实际问题. 3. 渗透数形结合思想,进一步培养学生综合解题能力。数学学科素养1.数学抽象:一元二次函数与一元二次方程,一元二次不等式之间的联系;2.逻辑推理:一元二次不等式恒成立问题;3.数学运算:解一元二次不等式;4.数据分析:一元二次不等式解决实际问题;5.数学建模:运用数形结合的思想,逐步渗透一元二次函数与一元二次方程,一元二次不等式之间的联系。
本节课选自《普通高中课程标准实验教科书数学必修1本(A版)》第五章的5.5.1 两角和与差的正弦、余弦和正切公式。本节的主要内容是由两角差的余弦公式的推导,运用诱导公式、同角三角函数的基本关系和代数变形,得到其它的和差角公式。让学生感受数形结合及转化的思想方法。发展学生数学直观、数学抽象、逻辑推理、数学建模的核心素养。课程目标 学科素养1.了解两角差的余弦公式的推导过程.2.掌握由两角差的余弦公式推导出两角和的余弦公式及两角和与差的正弦、正切公式.3.熟悉两角和与差的正弦、余弦、正切公式的灵活运用,了解公式的正用、逆用以及角的变换的常用方法.4.通过正切函数图像与性质的探究,培养学生数形结合和类比的思想方法。 a.数学抽象:公式的推导;b.逻辑推理:公式之间的联系;c.数学运算:运用和差角角公式求值;d.直观想象:两角差的余弦公式的推导;e.数学建模:公式的灵活运用;
本节内容是三角恒等变形的基础,是正弦线、余弦线和诱导公式等知识的延伸,同时,它又是两角和、差、倍、半角等公式的“源头”。两角和与差的正弦、余弦、正切是本章的重要内容,对于三角变换、三角恒等式的证明和三角函数式的化简、求值等三角问题的解决有着重要的支撑作用。 课程目标1、能够推导出两角和与差的正弦、余弦、正切公式并能应用; 2、掌握二倍角公式及变形公式,能灵活运用二倍角公式解决有关的化简、求值、证明问题.数学学科素养1.数学抽象:两角和与差的正弦、余弦和正切公式; 2.逻辑推理: 运用公式解决基本三角函数式的化简、证明等问题;3.数学运算:运用公式解决基本三角函数式求值问题.4.数学建模:学生体会到一般与特殊,换元等数学思想在三角恒等变换中的作用。.
新知讲授(一)——随机试验 我们把对随机现象的实现和对它的观察称为随机试验,简称试验,常用字母E表示。我们通常研究以下特点的随机试验:(1)试验可以在相同条件下重复进行;(2)试验的所有可能结果是明确可知的,并且不止一个;(3)每次试验总是恰好出现这些可能结果中的一个,但事先不确定出现哪个结果。新知讲授(二)——样本空间思考一:体育彩票摇奖时,将10个质地和大小完全相同、分别标号0,1,2,...,9的球放入摇奖器中,经过充分搅拌后摇出一个球,观察这个球的号码。这个随机试验共有多少个可能结果?如何表示这些结果?根据球的号码,共有10种可能结果。如果用m表示“摇出的球的号码为m”这一结果,那么所有可能结果可用集合表示{0,1,2,3,4,5,6,7,8,9}.我们把随机试验E的每个可能的基本结果称为样本点,全体样本点的集合称为试验E的样本空间。
【点津】 1.不定式的复合结构作目的状语 ,当不定式或不定式短语有自己的执行者时,要用不定式的复合结构?即在不定式或不定式短语之前加 for +名词或宾格代词?作状语。He opened the door for the children to come in. 他开门让孩子们进来。目的状语从句与不定式的转换 英语中的目的状语从句,还可以变为不定式或不定式短语作状语,从而使句子在结构上得以简化。可分为两种情况: 1?当目的状语从句中的主语与主句中的主语相同时,可以直接简化为不定式或不定式短语作状语。We'll start early in order that/so that we may arrive in time. →We'll start early in order to/so as to arrive in time. 2?当目的状语从句中的主语与主句中的主语不相同时,要用动词不定式的复合结构作状语。I came early in order that you might read my report before the meeting. →I came early in order for you to read my report before the meeting.
二、说学情本课的教学对象为高二学生,他们思维活跃已具备一定归纳能力和分析、综合能力,能够自主地分析现实生活中的一些文化行为,但看问题往往比较偏激、片面,缺乏良好的逻辑思维能力。所以,在文化创新的途径上要对他们进行指导,以免走入误区。三、教学目标根据新课程标准、教材特点、学生的实际,我确定了如下教学目标:【知识与能力目标】1.理解文化创新的根本途径和两个基本途径;2.了解文化创新过程中需要坚持正确方向,克服错误倾向。
幂函数是在继一次函数、反比例函数、二次函数之后,又学习了单调性、最值、奇偶性的基础上,借助实例,总结出幂函数的概念,再借助图像研究幂函数的性质.课程目标1、理解幂函数的概念,会画幂函数y=x,y=x2,y=x3,y=x-1,y=x 的图象;2、结合这几个幂函数的图象,理解幂函数图象的变化情况和性质;3、通过观察、总结幂函数的性质,培养学生概括抽象和识图能力.数学学科素养1.数学抽象:用数学语言表示函数幂函数;2.逻辑推理:常见幂函数的性质;3.数学运算:利用幂函数的概念求参数;4.数据分析:比较幂函数大小;5.数学建模:在具体问题情境中,运用数形结合思想,利用幂函数性质、图像特点解决实际问题。重点:常见幂函数的概念、图象和性质;难点:幂函数的单调性及比较两个幂值的大小.
2. Sort out detailed information about Michael Jordan.(1) Understand the transitional sentence.Q: Which part is about Michael Jordan as a master? Which part is about the example he set?(2) Have the Ss Focus on why Michael Jordan is a master and what good examples Michael Jordan set when they’re reading. And think about these questions as below:Q1: How does the author describe his impressive skills?Q2: How do you understand “time seemed to stand still”?Q3: What does “graceful” mean?Q4. Which sentence do you think best describes his mental strength?Q5. Which words is important in the sentence in describing his mental strength? Why?Q6: How do you understand “unique”?Q7: What can we learn from Michael Jordan?Step 5 Discussing and recommendingRecommend their own living legends of sports.Work in groups to choose your own living legend of sports and give the reasons of your choice. Step 6 HomeworkReview the stories of Lang Ping and Michael Jordan, and try to retell them.
This unit is about the Internet, which has a great influence to our humans and our lives. During the Listening & Speaking & Talking and Reading and Thinking section, the influence in examples has been shown. Thus, use the Present Perfect Tense is appropriate. However, in order to show the justice or weaken the doer of the behavior/action, it’s better to use the Present Perfect Passive Voice than the Present Perfect Tense. Besides, having learned to use the Present Perfect Passive Voice, students can beautify their language in their writing. 1. Learn the structure of the Present Perfect Passive Voice and its functions. 2. Learn to change the sentences with the Present Perfect Passive Voice into the sentences with the Present Perfect Passive Voice. 3. Learn to write sentences with the Present Perfect Passive Voice flexibly according to the context. 1. Learn the structure of the Present Perfect Passive Voice and its functions. 2. Learn to change the sentences with the Present Perfect Passive Voice into the sentences with the Present Perfect Passive Voice. 3. Learn to write sentences with the Present Perfect Passive Voice flexibly according to the context. Step 1 Observe the following sentences, then change the sentences into passive voice.He has been selected to take part in the sports meeting.(肯定句)他已被挑选出来参加运动会。The ink has not been removed from his overcoat.(否定句)墨迹还没有从他外套上去掉。
Paragraph 3. Jan decided to start an IT club to teach old people how to use computers and the Internet. Paragraph 4. Jan has started taking online classes to learn more about how to use the Internet to make society better. Paragraph 5. Jan’s life has been greatly improved by the Internet. Step 5: Critical thinking:(1)How do you arrange your time spent on study and the Internet? Is it reasonable? I usually surf the Internet using my mobile phone for only an hour after class, and it is reasonable for me.(2)What are your online activities? Are they safe? I chat with my friends, read news and play games. I never give away my private information so I think they are safe.Step 4: summary Much has been written about the wonders of the World Wide Web. There are countless articles (1)______(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)_____(much) for people than simply make life more convenient. People’s lives (3) _________________(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)_____(stick) at home with only her computer to keep (5)___(she) company. She joined an online group (6)______ she could share problems, support and advice with others. She considered the ability to remove the distance between people as one of the greatest (7)_______(benefit). She was so inspired (8)____ she started an IT club in which many people have been helped. She has started to learn more about how to use the Internet to make society better. Her next goal is to start a charity website to raise money (9)___ children in poor countries. Jan’s life has been (10)______(great) improved by the Internet. Step 5 Homework:Review what we have learned and find out the key language points in the text.
This teaching period mainly deals with grammar “The Present Perfect Passive Voice.” To begin with, teachers should lead students to revise what they have learned about the Present Perfect Passive Voice. And then, teachers move on to stress more special cases concerning this grammar。This period carries considerable significance to the cultivation of students’ writing competence and lays a solid foundation for the basic appreciation of language beauty. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercises. 1. Guide students to review the basic usages of the Present Perfect Passive Voice2. Lead students to learn to use some special cases concerning the Present Perfect Passive Voice flexibly.2. Enable students to use the basic phrases structures flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of the Present Perfect Passive Voice in a sentence2. Instruct students to write essays using the proper the Present Perfect Passive Voice.观察下列句子特点,总结共同点。1.(教材P28)Much has been written about the wonders of the World Wide Web.2.(教材P28)But the Internet has done much more for people than simply make life more convenient.3.(教材P28)Many people have been helped by the club.4.(教材P28)She no longer feels lonely, and her company has become quite successful.5.(教材P32)Today I thought I’d blog about a question that has been asked many times—how do you stay safe online and avoid bad experiences on the Internet?
From the pictures in the text and the title--- choose the best app, we can know that this part is about how to save money by using apps.Step 2 While-listening1. Laura and Xiao Bo are talking about apps. Listen to their conversation and find out what apps they want.Xiao Bo is looking for a(n) exercise app to help him get in shape.Laura would like an app for getting rich and another that will make her grades better.2. Listen again. Are the sentences true T or false F?1). Both of Xiao Bo's apps keep track of the steps he takes._____2). Xiao Bo's second app can help him make a fitness plan._____3). Laura needs an app that will help her get discounts.______4). Laura needs an app that will add money to her bank account._______F T F T3. Listen once more and tick the sentence you hear. Underline the words used to express predictions, guesses, and beliefs.Predictions, Guesses, and Beliefs________It might help me walk more.________My guess is that it wouldn't work.________I imagine this app would help me get fit faster________I suppose that would be good.________I guess you could save a little with this app.________I suppose there would be some problems, too.________I believe this app could help me get thinner.
Listening and Speaking introduces the topic of “ask about online habits”. Many middle school students have been surfing the Internet for many years, but what they do with the Internet and how much time they spend every day may not be very clear to themselves, nor to other students. This section allows students to investigate their peers' Internet use, which is conducive to their mutual understanding and understanding of the Internet. It can also help them reflect on their own online behavior, learn from other people's good online habits, and get rid of their bad online behavior.The listening text of this section is an investigation interview. The investigators interview specific groups with the same questions to obtain information, so as to understand their views, practices or attitudes on this issue. There are two specific questions: “how much time do you spend online every day? What do you usually do online?”. The answers of the three respondents provide rich and different information, and achieve the purpose of the investigators. The oral discourse structure of survey interviews generally includes greeting and explaining the purpose of the interview, presenting the interview questions and the respondents' answers. Listening and Talking introduces the theme of “choosing the right application ". Listening text is a conversation between Laura and Xiao Bo. In this part of listening, “oink”; “piggy bank” may cause the students' hearing comprehension limitation. Oink refers to sound word and pig's sound. So, add some oink to my piggy bank is often used to describe "making a little money".1. Guide students to understand the content of listening texts in terms of listening for definitions.2. Cultivate students' ability to define words and understand an investigation interview.
Q5:What's Jan's next goal?Her next goal is to start a charity website to raise money for children in poor countries.Q6:What can we learn from her experiences?We learn that when we go through tough times, we can find help and support from other people online. We learn that we can feel less lonelyStep 5: While reading---rethinkingQ1: What is Jan’s attitude to the Internet ?Thankful/Grateful, because it has changed her and her life.Q2: What writing skills is used in the article ?Examples(Jan’s example, the 59-year-old man’s and the 61-year-old woman’s example)Q3: Can you get the main idea of the article ?The Internet has changed Jan’s life/Jan’s life has been changed by the Internet.Step 6 Post reading---Retell the storyMuch has been written about the wonders of the World Wide Web. There are countless articles (1)telling(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)more(much) for people than simply make life more convenient. People’s lives (3) have been changed(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)stuck(stick) at home with only her computer to keep (5)her(she) company. She joined an online group (6)where she could share problems, support and advice with others. She considered the ability to remove the distance between people as one of the greatest (7)benefits(benefit). She was so inspired (8)that she started an IT club in which many people have been helped. She has started to learn more about how to use the Internet to make society better. Her next goal is to start a charity website to raise money (9)for children in poor countries. Jan’s life has been (10)greatly(great) improved by the Internet.
1.制作红灯笼师:(展示漂亮的灯笼)小朋友们想不想自己亲手制作一个呢?生:好呀师:那小朋友们知道制作灯笼需要什么材料吗?生:彩纸、剪刀...师:没错,那老师先来展示一下怎么制作灯笼吧!(展示完后,开始让小朋友两两组合共同制作)2.制作灯笼剪纸师:小朋友们,刚刚是不是已经制作灯笼了呀?下面我们进行一个更好玩的环节?生:好呀好呀!师:那我先来展示一下咯,小朋友们别眨眼呀!(展示完后,开始让小朋友们独立完成)小结:通过制作共同合作制作灯笼与独自完成灯笼剪影,不仅使他们更能感知灯笼的形状,更能提高小朋友们的动手能力和思考力。
文本分析《琵琶行》作为白居易最为出名的诗歌之一,内容详实,情感动人,在诗歌中,白居易塑造了两个形象极为鲜明的人物——琵琶女&作者本人。一个是江湖薄命人,一个是官场失意者。两个本无交集的人因为京都琵琶声相遇,互诉衷肠后,发出“同是天涯沦落人,相逢何必曾相识“的感慨
三、主要工作: 本学期教务处继续抓好教学管理,规范教学过程,加强教学指导,加大考核力度。群策群力、千方百计提高教学质量。 1、抓好常规教学的管理 ⑴、切实把好教学流程,规范教学秩序。上课期间(包括上晚辅导期间)禁止使用多媒体播放与教学无关的视频影像。 ⑵、规范教学过程,对备课、上课、作业批改、课后辅导、单元验收、学科竞赛等明确要求,认真检查、指导。检查作业批改两次,教务处设专人检查,记录。