创设情境,导入新课:你对母亲知多少师问1:我们5月份刚过了一个重要的节日,你知道是什么吗?----母亲节。师问2:那你知道妈妈的生日吗?(举手示意),每个妈妈都知道自己孩子的生日,请不知道的同学回家了解一下,多关心一下自己的父母。师问3:那你知道妈妈最爱吃的菜吗?你可以选择知道、不知道或者是没有爱吃的(拖动白板上相对应的表情符号)。请大家用不同的手势表示出来。我找3名同学统计各组的数据,写在黑板上(随机找3名学生数人数)。下面我来随机采访一下:你妈妈最喜欢吃的菜是什么?(教师随机采访,结合营养搭配和感恩教育)
尊敬的各位评委老师: 你们好!我说课的内容是义务教育教科书人教版小学数学四年级下册第一单元第5-6页的内容《乘除法的意义和各部分间的关系》。下面我谈谈本节课的教学设想,不妥之处,恳请各位教师指正。一.我对教材的理解(教材分析)——参考教学参考书《乘除法的意义和各部分间的关系》是人教版小学四年级下册第一单元四则运算中第2课时的教学内容。本课是在学生对整数乘除法有了较多的接触,积累了丰富的感性认识并掌握了相应的基础知识和技能的基础上进行抽象、概括,上升到理性的认识。为后面学习的四则运算打基础,也为以后学习小数、分数的意义和关系做铺垫。二.学情分析(根据考评要求,可不说)因为年龄特征决定了四年级学生活泼好奇好动,虽具一定的抽象思维能力,但仍然以形象思维为主;就知识层面上,已经学习了简单整数乘除法,对整数乘除法及各部分名称有初步的感性认知,初步具备了理性认知学习的基础;同时又存在个体差异,多数学生思维活跃,数学兴趣浓厚,表现欲望强烈,少数学生缺乏积极性,学习被动。
方法总结:观察表中的数据,发现其中的变化规律,然后根据其增减趋势写出自变量与因变量之间的关系式.三、板书设计1.用关系式表示变量间关系2.表格和关系式的区别与联系:表格能直接得到某些具体的对应值,但不能直接反映变量的整体变化情况;用关系式表示变量之间的关系简单明了,便于计算分析,能方便求出自变量为任意一个值时,相对应的因变量的值,但是需计算.本节课的教学内容是变量间关系的另一种表示方法,这种表示方法学生才接触到,学生感觉有点难.这节课的重点是让学生掌握用关系式与表格表示变量间的关系,难点是理解这两种表示方法的优缺点.就此问题,通过让学生对几个例子比较、讨论、总结、归纳两种方法的优点来解决,这样学生就能很好地区分这两种表示方法,并能对不同的问题选择恰当的方法
解:(1)电动车的月产量y为随着时间x的变化而变化,有一个时间x就有唯一一个y与之对应,月产量y是时间x的因变量;(2)6月份产量最高,1月份产量最低;(3)6月份和1月份相差最大,在1月份加紧生产,实现产量的增值.方法总结:观察因变量随自变量变化而变化的趋势,实质是观察自变量增大时,因变量是随之增大还是减小.三、板书设计1.常量与变量:在一个变化过程中,数值发生变化的量为变量,数值始终不变的量称之为常量.2.用表格表示数量间的关系:借助表格表示因变量随自变量的变化而变化的情况.自变量和因变量是用来描述我们所熟悉的变化的事物以及自然界中出现的一些变化现象的两个重要的量,对于我们所熟悉的变化,在用了这两个量的描述之后更加鲜明.本节是学好本章的基础,教学中立足于学生的认知基础,激发学生的认知冲突,提升学生的认知水平,使学生在原有的知识基础上迅速迁移到新知上来
授课 日期 班级16高造价 课题: §10.1 计数原理 教学目的要求: 1.掌握分类计数原理与分步计数原理的概念和区别; 2.能利用两个原理分析和解决一些简单的应用问题; 3.通过对一些应用问题的分析,培养自己的归纳概括和逻辑判断能力. 教学重点、难点: 两个原理的概念与区别 授课方法: 任务驱动法 小组合作学习法 教学参考及教具(含多媒体教学设备): 《单招教学大纲》、课件 授课执行情况及分析: 板书设计或授课提纲 §10.1 计数原理 1、加法原理 2、乘法原理 3、两个原理的区别
1、方程的定义1)像这种用等号“=”来表示相等关系的式子,叫等式。(老师给出定义。)2)请大家观察左边的这些式子,看看它们有什么共同的特征?(老师提出问题。)3)列方程时,要先设字母表示未知数,然后根据问题中的相等关系,写出含有未知数的等式叫做方程。(学生思考后,老师给出新学内容方程的定义。)4)判断方程的两个关键要素: ①有未知数 ②是等式(老师提问,并给出。)
课题序号6-3授课形式讲授与练习课题名称等比数列课时2教学 目标知识 目标理解并掌握等比数列的概念,掌握并能应用等比数列的通项公式及前n项和公式。能力 目标通过公式的推导和应用,使学生体会从特殊到一般,再从一般到特殊的思维规律,初步形成认识问题、分析问题、解决问题的一般思路和方法 。素质 目标通过对等比数列知识的学习,培养学生细心观察、认真分析、正确总结的科学思维习惯和严谨的学习态度。教学 重点等比数列的概念及通项公式、前n项和公式的推导过程及运用。教学 难点对等比数列的通项公式与求和公式变式运用。教学内容 调整无学生知识与 能力准备数列的概念课后拓展 练习 习题(P.21): 3,4.教学 反思 教研室 审核
系(部)医药授课教师戚文撷授课班级11(5),11(6)班授课类型新授课授课时数2课时授课周数第一周授课日期2012.2.15授课地点 教室课题第六章数列分课题§6.2 等差数列教学目标1. 理解等差数列的概念,掌握等差数列的通项公式;掌握等差中项的概念. 2. 逐步灵活应用等差数列的概念和通项公式解决问题. 3.等差数列的前N项之和 . 4.培养学生分析、比较、归纳的逻辑思维能力. . 2. 3.教学重点等差数列的概念及其通项公式. 教学难点等差数列通项公式的灵活运用. 教学方法情境教学法、自主探究式教学方法教学器材及设备黑板、粉笔复习提问提问内容姓名成绩1.数列的定义? 答: 2. 数列的通项公式? 答: 板书设计 §6.2.1等差数列的概念 1. 1.等差数列的定义 公差:d 2.常数列 3.等差数列的通项公式 an=a1+(n-1)d. 等差数列的前n 项和公式: 例题 练习作业布置习题第1,2题.课后小结本节课主要采用自主探究式教学方法.充分利用现实情景,尽可能地增加教学过程的趣味性、实践性.我再整个教学中强调学生的主动参与,让学生自己去分析、探索,在探索过程中研究和领悟得出的结论,从而达到使学生既获得知识又发展智能的目的.
课程课题随机事件和概率授课教师李丹丹学时数2授课班级 授课时间 教学地点 背景分析正确使用两个基本原理的前提是要学生清楚两个基本原理使用的条件;分类用加法原理,分步用乘法原理,单纯这点学生是容易理解的,问题在于怎样合理地进行分类和分步教学中给出的练习均在课本例题的基础上稍加改动过的,目的就在于帮助学生对这一知识的理解与应用 学习目标 设 定知识目标能力(技能)目标态度与情感目标1、理解随机试验、随机事件、必然事件、不可能事件等概念 2、理解基本事件空间、基本事件的概念,会用集合表示基本事件空间和事件 1 会用随机试验、随机事件、必然事件、不可能事件等概念 2 会用基本事件空间、基本事件的概念,会用集合表示基本事件空间和事件 3、掌握事件的基本关系与运算 了解学习本章的意义,激发学生的兴趣. 学习任务 描 述 任务一,随机试验、随机事件、必然事件、不可能事件等概念 任务二,理解基本事件空间、基本事件的概念,会用集合表示基本事件空间和事件
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
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
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
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!
教 学 过 程教师 行为学生 行为教学 意图时间 *揭示课题 3.1 排列与组合. *创设情境 兴趣导入 基础模块中,曾经学习了两个计数原理.大家知道: (1)如果完成一件事,有N类方式.第一类方式有k1种方法,第二类方式有k2种方法,……,第n类方式有kn种方法,那么完成这件事的方法共有 = + +…+(种). (3.1) (2)如果完成一件事,需要分成N个步骤.完成第1个步骤有k1种方法,完成第2个步骤有k2种方法,……,完成第n个步骤有kn种方法,并且只有这n个步骤都完成后,这件事才能完成,那么完成这件事的方法共有 = · ·…·(种). (3.2) 下面看一个问题: 在北京、重庆、上海3个民航站之间的直达航线,需要准备多少种不同的机票? 这个问题就是从北京、重庆、上海3个民航站中,每次取出2个站,按照起点在前,终点在后的顺序排列,求不同的排列方法的总数. 首先确定机票的起点,从3个民航站中任意选取1个,有3种不同的方法;然后确定机票的终点,从剩余的2个民航站中任意选取1个,有2种不同的方法.根据分步计数原理,共有3×2=6种不同的方法,即需要准备6种不同的飞机票: 北京→重庆,北京→上海,重庆→北京,重庆→上海,上海→北京,上海→重庆. 介绍 播放 课件 质疑 了解 观看 课件 思考 引导 启发学生得出结果 0 15*动脑思考 探索新知 我们将被取的对象(如上面问题中的民航站)叫做元素,上面的问题就是:从3个不同元素中,任取2个,按照一定的顺序排成一列,可以得到多少种不同的排列. 一般地,从n个不同元素中,任取m (m≤n)个元素,按照一定的顺序排成一列,叫做从n个不同元素中取出m个元素的一个排列,时叫做选排列,时叫做全排列. 总结 归纳 分析 关键 词语 思考 理解 记忆 引导学生发现解决问题方法 20
1、问题1的设计基于学生已有的一元一次方程的知识,学生独立思考问题,同学会考虑到题中涉及到等量关系,从中抽象出一元一次方程模型;同学可能想不到用方程的方法解决,可以由组长带领进行讨论探究.2、问题2的设计为了引出二元一次方程,但由于同学的知识有限,可能有个别同学会设两个未知数,列出二元一次方程;如果没有生列二元一次方程,教师可引导学生分析题目中有两个未知量,我们可设两个未知数列方程,再次从中抽象出方程模型.根据方程特点让生给方程起名,提高学生学习兴趣.3、定义的归纳,先请同学们观察所列的方程,找出它们的共同点,并用自己的语言描述,组内交流看法;如果学生概括的不完善,请其他同学补充. 交流完善给出定义,教师规范定义.
(一)例题引入篮球联赛中,每场比赛都要分出胜负,每队胜1场得2分,负1场得1分。某队在10场比赛中得到16分,那么这个队胜负场数分别是多少?方法一:(利用之前的知识,学生自己列出并求解)解:设剩X场,则负(10-X)场。方程:2X+(10-X)=16方法二:(老师带领学生一起列出方程组)解:设胜X场,负Y场。根据:胜的场数+负的场数=总场数 胜场积分+负场积分=总积分得到:X+Y=10 2X+Y=16
A.20x-55≥350 B.20x+55≥350C.20x-55≤350 D.20x+55≤350解析:此题中的不等关系:现在已存有55元,计划从现在起以后每个月节省20元.若此学生平板电脑至少需要350元.列出不等式20x+55≥350.故选B.方法总结:用不等式表示数量关系时,要找准题中表示不等关系的两个量,并用代数式表示;正确理解题中的关键词,如负数、非负数、正数、大于、不大于、小于、不小于、不足、不超过、至少、至多等的含义.三、板书设计1.不等式的概念2.列不等式(1)找准题目中不等关系的两个量,并且用代数式表示;(2)正确理解题目中的关键词语的确切含义;(3)用与题意符合的不等号将表示不等关系的两个量的代数式连接起来;(4)要正确理解常见不等式基本语言的含义.本节课通过实际问题引入不等式,并用不等式表示数量关系.要注意常用的关键词的含义:负数、非负数、正数、大于、不大于、小于、不小于、不足、不超过,这些关键词中如果含有“不”“非”等文字,一般应包括“=”,这也是学生容易出错的地方.
活动内容:教师首先让学生回顾学过的三类事件,接着让学生抛掷一枚均匀的硬币,硬币落下后,会出现正面朝上、正面朝下两种情况,你认为正面朝上和正面朝下的可能性相同吗?(让学生体验数学来源于生活)。活动目的:使学生回顾学过的三类事件,并由掷硬币游戏培养学生猜测游戏结果的能力,并从中初步体会猜测事件可能性。让学生体会猜测结果,这是很重要的一步,我们所学到的很多知识,都是先猜测,再经过多次的试验得出来的。而且由此引出猜测是需通过大量的实验来验证。这就是我们本节课要来研究的问题(自然引出课题)。
这是本节课的重点。让同学们将∠aob对折,再折出一个直角三角形(使第一条折痕为斜边),然后展开,请同学们观察并思考:后折叠的二条折痕的交点在什么地方?这两条折痕与角的两边有什么位置关系?这两条折痕在数量上有什么关系?这时有的同学会说:“角的平分线上的点到角的两边的距离相等”.即得到了角平分线的性质定理的猜想。接着我会让同学们理论证明,并转化为符号语言,注意分清题设和结论。有的同学会用全等三角形的判定定理aas证明,从而证明了猜想得到了角平分线的性质定理。
问题1:你能证明“两条直线被第三条直线所截,如果内错角相等,那么这两条直线平行”这个命题的正确性吗?已知:如图,∠1和∠2是直线a,b被直线c截出的内错角,且∠1=∠2.求证:a∥b. 问题2:你能证明“两条直线被第三条直线所截,如果同旁内角互补,那么这两条直线平行”这个命题的正确性吗?已知:如图,∠1和∠2是直线a、b被直线c截出的同旁内角,且∠1与∠2互补.求证:a∥b