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:<图形的运动>》,供老师们参考。
北师大版六年级下册《图形的运动》数学教案
教学目标
1.通过观察、操作、想象,经历一个简单图 形经过平移或旋转制作复杂图形的过程,体验图形的变换,发展空间观念。
2.借助方格纸上的操作和分析,有条理地表达图 形的平移或旋转的变换过程。
3.利用七巧板在方格纸上变换各种图形,进一步提高学生的想象能力。
教学重难点
通过观察、操作活动,说出图形的 平移或旋转的变换过程。
教学过程
一、复习旧知,
师:在以前的学习中我们已初步认识了 平移和旋转,下面请同学们用一个三角形在方格纸上边摆边说,说说什么是平移、什么是旋转。
师:今天我们利用所学的知识进一步探索 图形的运动(板书课题:图形的运动)
二、自主探索
1.情境探索:
课件呈现情境图(教材第32页)
如下图,七巧板中有两个图形移动了位置。
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" width="275" height="176"/> 请同学们观察 上图,你能通过平移将图①移入七巧板相应的位置吗?想一 想,再在方格纸上摆一摆。
师:哪位同学上来展示一下自己的做法 。
生1:先向上平移4格,再向左平移10格。
生1:先向左平移10格,再向上平移4格。
2.师:你能通过平移和旋转将图②移入七巧板相应的位置吗?与同伴交流你的做法。
学生先独立思考,然后摆一摆, 最后在小组内说一说,可以边摆边说,教师巡视参与交流,再组织全班反馈。
生1:先左平移9格,再绕直角顶点逆时针旋转900。
生2:先绕直角顶点 逆时针旋转900 ,再左平移9格。