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年北师大版五年级下册数学教案:<露在外面的面>》,供老师们参考。
北师大版五年级下册《露在外面的面》数学教案
教学目标
1、知识与技能
熟悉三视图以判断不同角度面的个数,掌握查找长方体露在外面面的个数。
2、过程与方法
通过三视图查找露在外面的面的个数,以及自主探寻规律。
3、情感态度和价值观
有利于学生对于立体三维结构的理解,以及不同角度空间想象力等的认知。
教学过程
一、知识回顾
1、长方体和正方体都有6个面。
2、一个长方体的长宽高分别为6cm、4cm、5cm,请问它的表面积是148cm2。
3、一个无盖正方体玻璃鱼缸的棱长是 5cm,玻璃的面积是125cm2。
二、新课引入
1、计算
4个棱长为50cm的正方体纸箱放在墙角处,如图。
(1)有几个面露在外面?露在外面的面积是多少平方厘米?
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" width="300" height="90"/> 从正面、上面和侧面看各有三个面露在外面,因此一共有9个面露 在外面。
50x50x9=22500(平方厘米)
答:露在外面的面积是22500平方厘米。
(2)把这4个纸箱换一种方式放在墙角处,可以怎样摆,各有几个面露在外面?
2、根据图填写下列表格。你能发现什么规律?