-
新人教版高中英语选修2Unit 2 Bridging Cultures-Discovering useful structures教学设计
The grammar of this unit is designed to review noun clauses. Sentences that use nouns in a sentence are called noun clauses. Nominal clauses can act as subject, object, predicate, appositive and other components in compound sentences. According to the above-mentioned different grammatical functions, nominal clauses are divided into subject clause, object clause, predicate clause and appositive clause. In this unit, we will review the three kinds of nominal clauses. Appositive clauses are not required to be mastered in the optional compulsory stage, so they are not involved.1. Guide the students to judge the compound sentences and determine the composition of the clauses in the sentence.2. Instruct students to try to learn grammar by generalizing grammar rules, controlling written practice, and semi-open oral output.3. Inspire the students to systematize the function and usage of noun clause1.Instruct students to try to learn grammar by generalizing grammar rules, controlling written practice, and semi-open oral output.2.Inspire the students to systematize the function and usage of noun clauseStep1: The teacher ask studetns to find out more nominal clauses from the reading passage and udnerline the nominal clauses.
新人教版高中英语选修2Unit 4 Journey Across a Vast Land教学设计
当孩子们由父母陪同时，他们才被允许进入这个运动场。3．过去分词(短语)作状语时的几种特殊情况(1)过去分词(短语)在句中作时间、条件、原因、让步状语时，相当于对应的时间、条件、原因及让步状语从句。Seen from the top of the mountain (＝When it is seen from the top of the mountain), the whole town looks more beautiful.从山顶上看，整个城市看起来更美了。Given ten more minutes (＝If we are given ten more minutes), we will finish the work perfectly.如果多给十分钟，我们会完美地完成这项工作。Greatly touched by his words (＝Because she was greatly touched by his words), she was full of tears.由于被他的话深深地感动，她满眼泪花。Warned of the storm (＝Though they were warned of the storm), the farmers were still working on the farm.尽管被警告了风暴的到来，但农民们仍在农场干活。(2)过去分词(短语)在句中作伴随、方式等状语时，可改为句子的并列谓语或改为并列分句。The teacher came into the room, followed by two students (＝and was followed by two students)．后面跟着两个学生，老师走进了房间。He spent the whole afternoon, accompanied by his mom(＝and was accompanied by his mom)．他由母亲陪着度过了一整个下午。
新人教版高中英语选修2Unit 5 First Aid-Discovering useful structures教学设计
You have no excuse for not going.你没有理由不去。He was punished for not having finished his homework.他因未完成作业而受到惩罚。2．动词ing形式复合结构由物主代词或人称代词宾格、名词所有格或普通格加动词ing，即“sb./sb.'s＋doing”构成。动词ing形式的复合结构实际上是给动词ing形式加了一个逻辑主语。动词ing形式的复合结构有四种形式：①形容词性物主代词＋动词ing②名词所有格＋动词ing③代词宾格＋动词ing④名词＋动词ingHer coming to help encouraged all of us.她来帮忙鼓舞了我们所有人。The baby was made awake by the door suddenly shutting.这个婴儿被突然的关门声吵醒了。Can you imagine him/Jack cooking at home?你能想象他/杰克在家做饭的样子吗？无生命名词无论是作主语还是作宾语都不能用第②种形式。Tom's winning first prize last year impressed me a lot.汤姆去年得了一等奖使我印象深刻。Do you mind my/me/Jack's/Jack leaving now?你介意我/杰克现在离开吗？Excuse me for my not coming on time．很抱歉我没能按时来。His father's being ill made him worried.他父亲病了，他很担心。We are looking forward to the singer's/the singer to give us a concert.我们盼望着这位歌手来给我们举办一场演唱会。
新人教版高中英语选修2Unit 1 Science and Scientists-Learning about Language教学设计
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
新人教版高中英语选修2Unit 1 Science and Scientists-Reading and thinking教学设计
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
新人教版高中英语选修2Unit 1 Science and Scientists-Discovering useful structures教学设计
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. 以上黑体部分在句中作表语。2. 句1、2、3中的that在从句中不作成分，只起连接作用。 Step2: Review the basic components of predicative clauses1.Definition
新人教版高中英语选修2Unit 1 Science and Scientists-Using langauge教学设计
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!
人教A版高中数学必修一充分条件与必要条件教学设计（2）
【例3】本例中“p是q的充分不必要条件”改为“p是q的必要不充分条件”，其他条件不变，试求m的取值范围．【答案】见解析【解析】由x2－8x－20≤0得－2≤x≤10，由x2－2x＋1－m2≤0(m>0)得1－m≤x≤1＋m(m>0)因为p是q的必要不充分条件，所以q?p，且p?/q.则{x|1－m≤x≤1＋m，m>0}?{x|－2≤x≤10}所以m>01－m≥－21＋m≤10，解得0<m≤3.即m的取值范围是(0,3]．解题技巧：（利用充分、必要、充分必要条件的关系求参数范围）(1)化简p、q两命题，(2)根据p与q的关系(充分、必要、充要条件)转化为集合间的关系，(3)利用集合间的关系建立不等关系，(4)求解参数范围．跟踪训练三3．已知P＝{x|a－4<x<a＋4}，Q＝{x|1<x<3}，“x∈P”是“x∈Q”的必要条件，求实数a的取值范围．【答案】见解析【解析】因为“x∈P”是x∈Q的必要条件，所以Q?P.所以a－4≤1a＋4≥3解得－1≤a≤5即a的取值范围是[－1,5]．五、课堂小结让学生总结本节课所学主要知识及解题技巧
人教A版高中数学必修一三角函数的应用教学设计（2）
本节课是在学习了三角函数图象和性质的前提下来学习三角函数模型的简单应用，进一步突出函数来源于生活应用于生活的思想，让学生体验一些具有周期性变化规律的实际问题的数学“建模”思想,从而培养学生的创新精神和实践能力.课程目标1.了解三角函数是描述周期变化现象的重要函数模型，并会用三角函数模型解决一些简单的实际问题．2．实际问题抽象为三角函数模型． 数学学科素养1.逻辑抽象：实际问题抽象为三角函数模型问题；2.数据分析：分析、整理、利用信息，从实际问题中抽取基本的数学关系来建立数学模型； 3.数学运算：实际问题求解； 4.数学建模：体验一些具有周期性变化规律的实际问题的数学建模思想，提高学生的建模、分析问题、数形结合、抽象概括等能力.
人教A版高中数学必修一函数模型的应用教学设计（2）
本节通过一些函数模型的实例，让学生感受建立函数模型的过程和方法，体会函数在数学和其他学科中的广泛应用，进一步认识到函数是描述客观世界变化规律的基本数学模型，能初步运用函数思想解决一些生活中的简单问题。课程目标1.能利用已知函数模型求解实际问题.2.能自建确定性函数模型解决实际问题.数学学科素养1.数学抽象：建立函数模型,把实际应用问题转化为数学问题；2.逻辑推理：通过数据分析，确定合适的函数模型；3.数学运算：解答数学问题,求得结果；4.数据分析：把数学结果转译成具体问题的结论,做出解答；5.数学建模：借助函数模型，利用函数的思想解决现实生活中的实际问题.重点：利用函数模型解决实际问题；难点：数模型的构造与对数据的处理．
人教A版高中数学必修一不同函数增长的差异教学设计（2）
本节课在已学幂函数、指数函数、对数函数的增长方式存在很大差异.事实上，这种差异正是不同类型现实问题具有不同增长规律的反应.而本节课重在研究不同函数增长的差异.课程目标1.掌握常见增长函数的定义、图象、性质,并体会其增长的快慢.2.理解直线上升、对数增长、指数爆炸的含义以及三种函数模型的性质的比较,培养数学建模和数学运算等核心素养.数学学科素养1.数学抽象：常见增长函数的定义、图象、性质；2.逻辑推理：三种函数的增长速度比较；3.数学运算：由函数图像求函数解析式；4.数据分析：由图象判断指数函数、对数函数和幂函数；5.数学建模：通过由抽象到具体，由具体到一般的数形结合思想总结函数性质.重点：比较函数值得大小；难点：几种增长函数模型的应用．教学方法：以学生为主体，采用诱思探究式教学，精讲多练。教学工具：多媒体。
人教A版高中数学必修一等式性质与不等式性质教学设计（2）
等式性质与不等式性质是高中数学的主要内容之一，在高中数学中占有重要地位，它是刻画现实世界中量与量之间关系的有效数学模型，在现实生活中有着广泛的应，有着重要的实际意义.同时等式性质与不等式性质也为学生以后顺利学习基本不等式起到重要的铺垫.课程目标1. 掌握等式性质与不等式性质以及推论，能够运用其解决简单的问题．2. 进一步掌握作差、作商、综合法等比较法比较实数的大小． 3. 通过教学培养学生合作交流的意识和大胆猜测、乐于探究的良好思维品质。数学学科素养1.数学抽象：不等式的基本性质；2.逻辑推理：不等式的证明；3.数学运算：比较多项式的大小及重要不等式的应用；4.数据分析：多项式的取值范围，许将单项式的范围之一求出，然后相加或相乘.（将减法转化为加法，将除法转化为乘法）；5.数学建模：运用类比的思想有等式的基本性质猜测不等式的基本性质。
人教A版高中数学必修一函数的表示法教学设计（2）
课本从引进函数概念开始就比较注重函数的不同表示方法：解析法，图象法，列表法．函数的不同表示方法能丰富对函数的认识，帮助理解抽象的函数概念．特别是在信息技术环境下，可以使函数在形与数两方面的结合得到更充分的表现，使学生通过函数的学习更好地体会数形结合这种重要的数学思想方法．因此，在研究函数时，要充分发挥图象的直观作用．在研究图象时，又要注意代数刻画以求思考和表述的精确性．课本将映射作为函数的一种推广，这与传统的处理方式有了逻辑顺序上的变化．这样处理，主要是想较好地衔接初中的学习，让学生将更多的精力集中理解函数的概念，同时，也体现了从特殊到一般的思维过程．课程目标1、明确函数的三种表示方法；2、在实际情境中，会根据不同的需要选择恰当的方法表示函数；3、通过具体实例，了解简单的分段函数，并能简单应用.
人教A版高中数学必修一函数的应用（一）教学设计（2）
客观世界中的各种各样的运动变化现象均可表现为变量间的对应关系，这种关系常常可用函数模型来描述，并且通过研究函数模型就可以把我相应的运动变化规律.课程目标1、能够找出简单实际问题中的函数关系式，初步体会应用一次函数、二次函数、幂函数、分段函数模型解决实际问题； 2、感受运用函数概念建立模型的过程和方法，体会一次函数、二次函数、幂函数、分段函数模型在数学和其他学科中的重要性． 数学学科素养1.数学抽象：总结函数模型； 2.逻辑推理：找出简单实际问题中的函数关系式，根据题干信息写出分段函数； 3.数学运算：结合函数图象或其单调性来求最值. ； 4.数据分析：二次函数通过对称轴和定义域区间求最优问题； 5.数学建模：在具体问题情境中，运用数形结合思想，将自然语言用数学表达式表示出来。 重点：运用一次函数、二次函数、幂函数、分段函数模型的处理实际问题；难点：运用函数思想理解和处理现实生活和社会中的简单问题．
人教A版高中数学必修一函数的零点与方程的解教学设计（2）
本章通过学习用二分法求方程近似解的的方法，使学生体会函数与方程之间的关系，通过一些函数模型的实例，让学生感受建立函数模型的过程和方法，体会函数在数学和其他学科中的广泛应用，进一步认识到函数是描述客观世界变化规律的基本数学模型，能初步运用函数思想解决一些生活中的简单问题。1.了解函数的零点、方程的根与图象交点三者之间的联系.2.会借助零点存在性定理判断函数的零点所在的大致区间.3.能借助函数单调性及图象判断零点个数．数学学科素养1.数学抽象：函数零点的概念；2.逻辑推理：借助图像判断零点个数；3.数学运算：求函数零点或零点所在区间；4.数学建模：通过由抽象到具体，由具体到一般的思想总结函数零点概念.重点：零点的概念，及零点与方程根的联系；难点：零点的概念的形成．
人教A版高中数学必修一集合间的基本关系教学设计（2）
第一节通过研究集合中元素的特点研究了元素与集合之间的关系及集合的表示方法，而本节重点通过研究元素得到两个集合之间的关系，尤其学生学完两个集合之间的关系后，一定让学生明确元素与集合、集合与集合之间的区别。课程目标1. 了解集合之间包含与相等的含义，能识别给定集合的子集．2. 理解子集.真子集的概念． 3. 能使用 图表达集合间的关系，体会直观图示对理解抽象概念的作用。数学学科素养1.数学抽象：子集和空集含义的理解；2.逻辑推理：子集、真子集、空集之间的联系与区别；3.数学运算：由集合间的关系求参数的范围，常见包含一元二次方程及其不等式和不等式组；4.数据分析：通过集合关系列不等式组， 此过程中重点关注端点是否含“=”及 问题；5.数学建模：用集合思想对实际生活中的对象进行判断与归类。
人教A版高中数学必修一简单的三角恒等变换教学设计（2）
它位于三角函数与数学变换的结合点上，能较好反应三角函数及变换之间的内在联系和相互转换，本节课内容的地位体现在它的基础性上。作用体现在它的工具性上。前面学生已经掌握了两角和与差的正弦、余弦、正切公式以及二倍角公式，并能通过这些公式进行求值、化简、证明，虽然学生已经具备了一定的推理、运算能力，但在数学的应用意识与应用能力方面尚需进一步培养.课程目标1.能用二倍角公式推导出半角公式，体会三角恒等变换的基本思想方法，以及进行简单的应用． 2.了解三角恒等变换的特点、变换技巧，掌握三角恒等变换的基本思想方法． 3.能利用三角恒等变换的技巧进行三角函数式的化简、求值以及证明，进而进行简单的应用． 数学学科素养1.逻辑推理： 三角恒等式的证明； 2.数据分析：三角函数式的化简； 3.数学运算：三角函数式的求值.
人教A版高中数学必修一同角三角函数的基本关系教学设计（2）
本节内容是学生学习了任意角和弧度制，任意角的三角函数后，安排的一节继续深入学习内容，是求三角函数值、化简三角函数式、证明三角恒等式的基本工具，是整个三角函数知识的基础，在教材中起承上启下的作用。同时，它体现的数学思想与方法在整个中学数学学习中起重要作用。课程目标1.理解并掌握同角三角函数基本关系式的推导及应用．2.会利用同角三角函数的基本关系式进行化简、求值与恒等式证明．数学学科素养1.数学抽象：理解同角三角函数基本关系式；2.逻辑推理： “sin α±cos α”同“sin αcos α”间的关系；3.数学运算：利用同角三角函数的基本关系式进行化简、求值与恒等式证明重点：理解并掌握同角三角函数基本关系式的推导及应用； 难点：会利用同角三角函数的基本关系式进行化简、求值与恒等式证明．
人教A版高中数学必修一正切函数的图像与性质教学设计（2）
本节课是三角函数的继续，三角函数包含正弦函数、余弦函数、正切函数.而本课内容是正切函数的性质与图像.首先根据单位圆中正切函数的定义探究其图像，然后通过图像研究正切函数的性质. 课程目标1、掌握利用单位圆中正切函数定义得到图象的方法;2、能够利用正切函数图象准确归纳其性质并能简单地应用.数学学科素养1.数学抽象：借助单位圆理解正切函数的图像； 2.逻辑推理： 求正切函数的单调区间；3.数学运算：利用性质求周期、比较大小及判断奇偶性.4.直观想象：正切函数的图像； 5.数学建模：让学生借助数形结合的思想，通过图像探究正切函数的性质. 重点：能够利用正切函数图象准确归纳其性质并能简单地应用； 难点：掌握利用单位圆中正切函数定义得到其图象.
人教A版高中数学必修一正弦函数、余弦函数的图像教学设计（2）
由于三角函数是刻画周期变化现象的数学模型，这也是三角函数不同于其他类型函数的最重要的地方，而且对于周期函数，我们只要认识清楚它在一个周期的区间上的性质，那么它的性质也就完全清楚了，因此本节课利用单位圆中的三角函数的定义、三角函数值之间的内在联系性等来作图，从画出的图形中观察得出五个关键点，得到“五点法”画正弦函数、余弦函数的简图．课程目标1.掌握“五点法”画正弦曲线和余弦曲线的步骤和方法，能用“五点法”作出简单的正弦、余弦曲线.2.理解正弦曲线与余弦曲线之间的联系. 数学学科素养1.数学抽象：正弦曲线与余弦曲线的概念； 2.逻辑推理：正弦曲线与余弦曲线的联系； 3.直观想象：正弦函数余弦函数的图像； 4.数学运算：五点作图； 5.数学建模：通过正弦、余弦图象图像，解决不等式问题及零点问题，这正是数形结合思想方法的应用.