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年沪教版三年级上册数学教案:<数学广场—周期问题>》,供老师们参考。
沪教版三年级上册《数学广场——周期问题》数学教案
【教学目标】
1、 通过对简单的周期性问题的探究,理解周期性问题的结构特点。
2、 知道使用除法解决这类问题的简洁、便利。
3、 结合具体情境,探索并发现简单周期现象中的排列规律,能根据规律确定某个序号所代表的是什么物体或图形,能正确计算按周期规
律排列的某类物体或图形共有多少个。
4、 经历自主探索、合作交流的过程,体会画图、列举、计算等解决问题的不同策略,能根据实际情况,选择合适的解决问题的策略。
【教学重点】
发现数字、文字、记号等排列的重复部分,就是发现 周期,并体会它的确定性是认识周期现象的关键。
【教学难点】
确定周期现象中某个序号所代表的物体或图形。
【教学准备】多媒体
一、引入新知:
(1)师:快过 节了很多的商店都在张灯结彩的,店里都挂 满了一些气球。
投影出示气球图片
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" width="483" height="46"/> (2)小兔欢欢提了一个问题:仔细观察上 面的气球,你能发现什么规律?
生得出结论:气球以“2个蓝、1个绿、2个黄”的顺序5个5个有规律地排列。
(4)师:对了,这就是我们今天要 学习的内容《周期问题》。
(5)归纳:通过仔细观察,我们发现在日常生活中,有许多现象都是按照一定的规律、依次不断重复出现的,我们把这种现象叫做周期现象,(出示周期现象的概念)而重复出现的一节个数叫做周期。
二、自主探究
例1:照上面那样将气球 从左往右挂下去,第23个气球什么颜色?这23个气球里面有几个是绿色的?有几个是黄色的?