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      欢迎来到原中小学教育资源网!

      小学课文《圆的周长》教学设计

      教学设计 时间:2018-12-30 我要投稿
      【www.dnfdy.com - 教学设计】

        教学内容:

        圆的周长(小学数学九年制义务教材第十册).

        教学目的:

        1.让学生知道什么是圆的周长.

        2.理解圆周率的意义.

        3.理解和掌握圆的周长计算公式,并能初步运用公式解决一些简单的实际问题.

        教学重点:

        推导圆的周长计算公式.

        教学难点:

        理解圆周率的意义.

        教具学具:

        1.学生准备直径为4厘米、2厘米、3厘米圆片各一个,线,直尺.

        2.电脑软件及演示教具.

        教学过程:

        一、复习:

        上节课我们认识了圆,谁能说说什么是圆心?圆的半径?圆的直径?在同圆或等圆中圆的半径和直径有什么关系?用字母怎样表示?

        二、导入:

        这节课我们继续研究圆的周长(板书课题).

        1.指实物图片(长方形)问:这是什么图形?谁能指出它的周长?

        2.指实物图片(圆)问:这是什么图形?谁能指出它的周长?

        问:什么是圆的周长?

        板书:围成圆的曲线的长是圆的周长.

        3.你能测量出这个圆的周长吗?(能)

        4.指实物(用铁丝围成的圆)问:你能测量出这个圆的周长吗?

        5.用拴线的小球在空中旋转画圆.问:你能测量它的周长吗?

        回答:不能.

        想一想圆的周长都可以用测量的方法得到吗?(不能)这样做也会不方便、不准确.有没有更好的方法计算圆的周长呢?今天我们就来研究这个问题.

        三、请同学们用圆规在练习本上画几个大小不同的圆,想一想圆的周长可能和什么条件有关?(半径或直径)再看电脑演示(半径不同周长不同)圆的周长和它的直径或半径究竟有什么样的关系?请同学们测量手中圆片的周长(用线或滚动测量),再和直径比一比,看谁能发现其中的秘密?

        四、学生动手测量、教师巡视指导.

        五、统计测量结果.

        观察表中数据,想一想发现什么?圆的周长总是直径的三倍多一些!任何圆的周长都是直径的3倍多吗?

        六、电脑演示

        (几个大小不同的圆,它们的周长都是直径的3倍多一些)这是一个了不起的发现!谁知道我国历史上最早发现这个规律的人是谁?圆的周长到底是直径的3倍多多少?请同学们带着这个问题认真读书93页,默读“通过实验”到“π≈3.14”.

        七、看书后回答问题:

        1.是谁把圆周率的值精确计算到6位小数?

        2.什么叫圆周率?

        3.知道了圆周率,还需知道什么条件就可以计算圆的周长?

        4.如果用字母c表示圆的周长,d表示直径,r表示半径,π表示圆周率,圆的周长的计算公式应该怎样表示?

        现在你们已经掌握了圆的周长的计算方法,谁能很快说出你手中圆片的周长约是多少?(π取3.14)

        八、出示例1:

        一种矿山用的大卡车车轮直径是1.95米,车轮滚动一周约前进多少米?

        (得数保留两位小数)

        请同学们想一想:车轮滚动一周的距离实际指的是什么?

        解:d=1.95 单位:米

        c=πd

        =3.14×1.95

        =6.123

        ≈6.12(米)

        答:车轮滚动一周约前进6.12米.

        九、课堂练习:

        1.投影:计算下面图形的周长.

        2.判断下面各题(正确的出示“√”,错误的出示“×”)

        (1)圆周率就是圆的周长除以它的直径所得的商. ( )

        (2)圆的直径越大,圆周率越大. ( )

        (3)圆的半径是3厘米,周长是9.42厘米. ( )

        3.小明和爷爷分别沿小圆(A→B→C→D→E→A)和大圆两条路线散步.(如图)

        如果速度相同,两人同时出发,谁先回到出发地点?为什么?

        小明的路线长:20×3.14+20×3.14

        =62.8+62.8

        =125.6(米)

        爷爷的路线长:3.14×(20+20)

        =3.14×40

        =125.6(米)

        两条路线一样长,两人应同时回到出发点.

        4.一棵大树(投影)又粗又壮,不用锯倒大树,你能知道大树的直径是多少吗?讨论.

        结论:先测量大树一周的长度,再用周长除以圆周率,就得到了直径.

        小结:今天我们共同努力研究出了圆的周长的计算方法,谁能说说圆的周长应当怎样计算?计算时要注意什么问题?今后我们在学习探索新的知识时一定要积极动手动脑,扎扎实实地学好科学知识.

        板书设计:

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