小学教育网 发表于 2018-10-14 21:41:35

北京版六年级数学上册教案设计《圆的周长》

北京版六年级数学上册教案设计《圆的周长》
          教材分析:
       
          这部分内容是在学生认识了圆周长的概念和圆的基本特征的基础上,引导学生从已有的生活经验出发,以小组合作的方式,通过实验探究圆的周长与直径的关系,自学自知圆周率,从而总结探究出求圆的周长的公式。另一方面提高学生运用公式解决实际问题的能力,体会数学与现实生活的密切联系。
       
          教学目标:
       
          1.让学生经历圆周率的探索过程,理解圆周率的意义,掌握圆周长的公式,能运用圆周长公式解决一些简单的实际问题。
       
          2.培养学生的观察、比较、分析、综合及动手操作能力,发展学生的空间观念。
       
          3.让学生理解圆周率的含义,熟记圆周率的近似值,结合圆周率的教学,感受数学文化,激发爱国热情。
       
          教学重点:
       
          通过多种数学活动推导圆的周长公式,能正确计算圆的周长。
       
          教学难点:
       
          圆的周长与直径关系的探讨。
       
          教学准备:
       
          多媒体课件、线、尺、塑胶板上剪下的直径大小不一的圆、实验报告单、计算器等。
       
          教学过程:
       
          一、把准认知冲突,激发学习愿望。
       
          1.谈话:同学们,知道大家都喜欢看《喜羊羊和灰太狼》的动画片,今天,老师把它俩带到了我们的课堂。听:(课件播放故事:在一个天气晴朗的日子里,喜羊羊和灰太狼举行跑步比赛,喜羊羊沿正方形路线跑,灰太狼沿圆形路线跑,一圈过后,它们又同时回到了起点。此时,它俩正为谁走的路程长而争论不休。同学们,你们认为呢?)(学生进行猜测)
       
          2.要想确定它俩究竟谁跑的路程长,可怎么做?(生:先求出正方形和圆形的周长,再进行比较。)
       
          3.指名一生说说正方形的周长计算方法:(生:边长×4=周长)今天这节课,我们一起来研究圆的周长。(揭示课题:圆的周长)

jzfive 发表于 2018-10-14 22:46:06


          二、经历探究全程,验证猜想发现。
       
          (一)认识圆周长的含义并初步感知圆周长与直径之间的关系。
       
          1.谈话:那什么是圆的周长呢?(课件出示3个车轮)
       
          2.师:上面的3个数据是表示什么的?(生:圆的直径)“英寸”是什么意思?(学生看书回答)
       
          3.将3个车轮各滚动一圈,猜一猜,谁滚动的路程最长?从中你们有什么发现?(生:车轮滚动一周的长度是车轮的周长;直径越长,周长越长,直径越短,周长越短)
       
          (二)交流测量圆周长的方法
       
          1.学生拿出课前剪的圆,互相指一指它们的周长。
       
          2.用什么办法测量它们的周长?(同桌交流方法)
       
          3.指名到前面投影上展示测量周长的方法
       
          ①滚动法。明确注意点:做好记号,从零刻度开始滚,滚动到这个记号再次指向这里,圆滚动一周的长就是这个圆的周长。
       
          ②绕圈法。明确:线贴紧圆周,把多余的部分剪掉,把线拉直,这两点之间线的长就是这个圆的周长。
       
          ③用软尺测量。明确:用软尺上有厘米刻度的一面测量。从零刻度开始量,绕圆周一圈,然后看看对齐哪个刻度。
       
          4.小结:这些方法有一个共同的特点:(生:将一条弯曲的线变成一条直的线)这就是数学上所讲的“化曲为直”的方法。
       
          5.(课件出示摩天轮图片)问:它的周长能用刚才的方法测量吗?(生:不能,很不方便)问:那怎么办?引发学生探究圆的周长与直径之间的关系。
       
          (三)认识圆周率。
       
          1.谈话:接下来同学们分4人小组,选择自己喜欢的方法,测量出身边这些圆的周长与直径,完成表格。(学生分组活动,完成书上表格)(课件出示表格)
       
          2.各小组组长汇报测量结果。(学生说结果,教师在课件上完善)
       
          3.让学生观察表格中的数据,说说又发现了什么?(学生小组交流后汇报:一个圆的周长总是直径的3倍多一些)
       
          4.(课件出示)介绍《周髀算经》这本书及“周三径一”的意思。(圆的周长大约是直径的3倍)
       
          5.介绍祖冲之在求圆周率中做出的贡献,让学生想象祖冲之探索圆周率的过程,体验科学发现的艰辛、不易。(课件播放资料,学生自学)
       
          6.学生说说从资料的介绍中知道了什么?(学生交流自己的学习所得)
       
          7.师小结:祖冲之是我们民族的骄傲与自豪,正因为他杰出
       
          的成就,月球上有一座环形山就被命名为祖冲之山,宇宙中第1888号小行星也是以他的名字命名的。希望同学们以后也能像他那样刻苦钻研,将来也做一个不平凡的人。
       
          (四)推导公式
       
          1.当学生弄清了圆周长与直径之间的关系后,让学生说说圆的周长怎么计算?(生:圆的周长=圆周率×直径)
       
          2.谈话:如果圆的周长用大写字母C表示,那么这个公式用字母怎么表示?
       
          3.谈话:还可已知什么条件求周长?(生:半径)为什么?(生:在同一个圆中,圆的直径是半径的两倍)那这个公式还可怎么变换?
       
          4.齐读公式,加深印象。

jzfive 发表于 2018-10-14 23:34:48


          三、刷新应用能力,总结巩固新知。
       
          1.(课件出示第1题)学生口答两个圆的周长。
       
          2.计算例4中三个自行车车轮的周长大约各是多少英寸?(课件出示3个车轮)通过计算,比一比谁的周长最长?这再一次说明了什么?(生:圆的周长与它的直径有关)
       
          3.(课件出示一个喷水池)一个圆形喷水池的周长是12米,它的周长是多少米?(学生独立完成在作业本上,投影仪展示答案)
       
          4.(课件出示摩天轮图)它的半径是10米,坐着它转动一周,大约在空中转过多少米?(学生独立完成在作业本上,后在全班交流)
       
          四、交流学习收获,课后拓展延伸
       
          1.通过这节课研究圆的周长,你有什么收获?(学生全班交流)
       
          2.谈话:现在如果老师问喜羊羊和灰太狼谁走的路程长一些?同学们可怎么做?(学生独立完成,后全班交流)有没有其它方法?(学生可通过计算解决,也可直接观察两个图比较)
       
          3.师:种种方法都可以帮助我们来确定谁走的路程长,所以当喜羊羊得知这一结果后,直喊比赛不公平,于是老村长为它们又重新设计了一种新的赛跑路线:问:如果喜羊羊和灰太狼沿这样的路线赛跑,谁走的路程长一些呢?(学生课后思考,下节课交流。)
       
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
          教学反思:
       
          一、“情境”与“知识”两条主线相互交融。
       
          结合本节课的教学内容和学生的年龄特点,教师抓住“情境”与“知识”这两条主线。在教学情境上,教师努力为学生创设一个生动、活泼、和谐的学习氛围。我们知道,《喜羊羊与灰太狼》是学生喜闻乐见的动画片,学生对此非常感兴趣,也有一定的了解,以此为学习的背景,作为学习圆周长的切入点,使“情境主线”与本节课的“知识主线”有机的融合在一起,形成一个完整的统一体,激发了学生的学习兴趣,时学生积极主动地投入到学习活动中。
       
          二、动手操作让学生亲身经历知识的形成过程。
       
          动手操作是学生获得知识的一条重要途径。本节课从学生的生活经验和已有的知识背景出发,为他们提供了丰富的操作材料和开放的操作空间,使学生在操作活动中亲身经历了圆的周长计算公式的推导过程,在此过程中,教师以一个组织者、引导者和合作者的身份参与到学生的学习活动中,使学生的操作活动有目的、有思考、有选择、有创造,使学生在做一做、看一看、想一想的过程中增长智力,提高动手实践能力,获得积极的情感体验。
       
          三、数学阅读让学生感受数学的厚实的文化。
       
          在数学学习过程中,适当介绍一些有关数学发现与数学史的认识,能够丰富学生对数学发展的整体认识,对后续学习起到一定的激励作用。结合本节课的教学内容,教师向学生介绍了圆周率的有关认识。这里的介绍从《周髀算经》中的“周三径一”、祖冲之的“算筹”到圆周率在现代生活中的应用以及用电子计算机来计算圆周率,使学生对圆周率的历史有一个完整的认识,感受到我们祖先的智慧,体会数学知识与人类生活经验和实际需要的密切关系。
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查看完整版本: 北京版六年级数学上册教案设计《圆的周长》