2019年北师大版六年级下册数学教案:《图形的旋转(二)》

2019-09-28 16:26:34来源:网络

  新学期开学在即,老师们都要开始准备教案了。对于一些教学经验还不够丰富的老师来说需要多看一些好的教案,这样会成长的更快。新东方在线小学网整理了《2019年北师大版六年级下册数学教案:<图形的旋转(二)>》,供老师们参考。

  北师大版六年级下册《图形的旋转(二)》数学教案

  教学目标

  1、通过动手操作,使学生会在方格纸上将一个简单图形旋 转90°。

  2、初步学会运用旋转的方法在方格纸上设计图案,发展学生的空间观念。

  3、欣赏图形的旋转变换所创造出的美,培养 学生的审美能力;感受旋转在生活中的应用,体会数学的价值。

  教学重难点

  能在方格纸上将一个简单图形旋转90°。

  教学过程

  一、复习导入

  师:上节课,我们一起学习了线段旋转。首先回忆一下,什么是旋转?旋转的三要素是什么?

  这节课我们继续来来研究图形的旋转。

  二、探究交流

  1、师:画出图中的小旗绕点M顺时针旋转90°后的图形。清先在小组内交流一下画法,在动手画一画。

  

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" width="280" height="149"/>

  师:哪个小组来展示并说说哦你们的画法。

  同学们很有想法,老师是这样画的,先把旗杆绕点M顺时针旋转90°后在画 出旗子。

  师:利用刚才画小旗的方法,来画出三角形ABC绕点A顺时针旋转90°后的图形和逆时针旋转90°后的图形。

  

\

  2、师:通过刚才三角形ABC的旋转,请同学们想一想旋转后三 角形有什么 变化?

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