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小学数学教资面试逐字稿及教案《两位数除一位数》

  • 2026-05-12 09:42:59
小学数学教资面试逐字稿及教案《两位数除一位数》

上课!同学们好,请坐!

一、情境导入,自然激趣

师:同学们,阳光明媚,我们学校马上要举办春季趣味运动会了,为了方便大家课间训练,老师准备了一些运动器材。大家看大屏幕,这里一共有52个羽毛球,现在要公平地平均分给咱们年级的2个班级,保证两个班数量一样多。谁能开动小脑筋,帮老师列一道数学算式,算一算每个班能分到多少个羽毛球呀?

师:看大家举手都又快又端正,就请第一排这位举手最快的同学,你来试着说一说。

师:回答得非常准确,思路特别清晰,我们可以列出算式:52÷2

师:全班同学一起仔细观察想一想,这道除法算式,和我们上一节课学习的两位数除以一位数,有哪里不一样的地方呢?可以同桌之间轻轻交流一下。

师:好,交流结束。请靠窗的同学分享你的发现。

师:观察得太仔细了!我们之前学习的除法,十位上的数字都能正好分完,没有余数;但是这道题里,十位上的5除以2,没办法一次性分完,还会剩下余数。

师:像这种十位首位不能整除、分完还有余数的两位数除以一位数,我们应该怎么正确列竖式计算呢?今天这节课,我们就一起动手操作、探究算理,共同学习《两位数除以一位数》。

(缓步走到黑板左侧,工整书写课题,写完转身回到讲台)

二、动手操作,探究新知

师:想要学会竖式算法,我们先动手摆一摆、分一分,把道理弄明白。请大家拿出课前准备好的小棒学具,我们统一规定:一捆小棒代表1个十,也就是10个羽毛球,一根单独的小棒代表1个一。请大家快速摆出52根小棒,对应题目里的52个羽毛球。

师:现在同桌两人为一个学习小组,合作动手把这些小棒平均分成两份,一边分一边互相说一说自己的分步骤,重点想一想:十位分完剩下的小棒,该怎么继续平均分?大家开始动手探究吧。

师:好,老师巡视一圈,发现大家合作得特别默契,大部分同学都已经分完坐端正了。谁愿意主动上台,借助黑板教具,完整演示你的分小棒过程?请你来台前展示。

师:大家看他操作多规范。第一步,先分整捆的5捆小棒,对应5个十,平均分给2个班级,每个班级先分到2捆,也就是20个羽毛球。那大家一起说一说,一共分走了几捆?还剩下几捆?

师:没错,分走了4捆,最后还剩下1捆,这1捆已经不够再分给两个班级各一捆了。关键问题来了,剩下的这1捆小棒,我们该怎么处理,才能继续平均分呢?谁能说一说好方法?

师:后排这位同学补充得太到位了!我们可以把剩下的这1捆小棒拆开,拆开之后就变成了10根单根小棒。

师:大家别忘了,还要把拆开的10根,和原本个位上的2根单根小棒合在一起,一共合成多少根?全班一起齐声回答:12根!

师:最后我们再把这12根小棒,平均分给2个班级,每个班级就能分到6根。现在合并算一算,每班先分到20根,又分到6根,合起来一共是26根。也就是说,52个羽毛球平均分,每班能分到26个。大家都听懂分小棒的道理了吗?

师:数形结合学数学,现在我们就把刚才分小棒的全过程,一步一步转化成标准除法竖式,大家跟着老师同步思考、同步书写。

(走到黑板中间,边讲边规范板书例题竖式)

师:我们先写下例题:52个羽毛球,平均分给2个班,列式:52÷2。先写长长的除号,被除数52写在除号里面,除数2写在除号外面。记住,除法计算要从最高位十位算起。

师:十位上是5,代表5个十,5个十除以2,商是2,这个2一定要对齐十位书写,表示2个十。接着算乘法,二二得四,把4写在十位5的正下方;再算减法,5减4,余数是1。

师:老师提问大家,这里余下的1,不是1个一,它代表的是什么呀?

师:对啦,代表剩下的1个十,正好对应我们刚才没分完、拆开的那一捆小棒。

师:十位有余数,我们不能不管它,接下来把个位上的数字2直接落下来,和余下的1个十合并在一起,就组成了12。

师:最后计算12除以2,商6,对齐个位写6,二六十二,12减12等于0,正好除尽,没有剩余。所以我们算出结果,52÷2=26。

师:老师送给大家一句好记口诀,大家轻声跟读两遍:十位有余不要慌,落下个位合起来,继续再除就妥当。

师:我们还要养成良好学习习惯,算完主动验算,谁还记得除法怎么验算?没错,用商乘除数,26乘2正好等于52,和被除数一致,说明我们计算完全正确!

(顺势在黑板右侧,板书验算公式与计算口诀)

三、分层练习,巩固夯实

师:算理听懂了,竖式学会了,现在我们趁热打铁,做两道基础练习题巩固一下,看看谁书写规范、计算零失误。请看大屏幕,第一道:78÷3,第二道:70÷5。

师:请两位同学上台板演完整竖式,其他同学在练习本上独立完成,记得写完简单口头验算。

师:好,时间到,全体停笔。我们一起当小老师,批改黑板上的作业。

师:第一题78÷3,十位7除以3商2余1,落下个位8合成18,18除以3商6,结果26,数位对齐、步骤完整,完全正确!

师:第二题70÷5,十位7除以5商1余2,落下0合成20,20除以5商4,结果14,书写工整,毫无差错!全班同学都做对了,老师为大家点赞!

四、课堂小结,布置作业

师:快乐的课堂马上就要结束了,谁愿意分享一下,今天你收获了哪些数学本领?

师:这位同学说得特别好,学会了首位不能整除的两位数除以一位数竖式计算,记住十位有余数,要和个位合并之后再继续除。

师:还有同学补充,学会了用乘法验算除法,养成细心检查的好习惯,值得全班学习。

师:老师总结核心要点:从高位依次除起,十位余数合并个位,数位对齐写商,及时乘法验算。

师:老师给同学们两个任务,1、完成课本对应想想做做习题,规范书写竖式;2、回家和家长互相出题,说一说两位数除以一位数的计算步骤,下节课我们一起交流。

师:本节课到此结束,同学们下课!

以上就是我的全部试讲内容,感谢各位评委老师的聆听与指导!

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  1. CONNECT:[ UseTime:0.000509s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000807s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000299s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000257s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000468s ]
  6. SELECT * FROM `set` [ RunTime:0.000197s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000680s ]
  8. SELECT * FROM `article` WHERE `id` = 498915 LIMIT 1 [ RunTime:0.000395s ]
  9. UPDATE `article` SET `lasttime` = 1778636359 WHERE `id` = 498915 [ RunTime:0.011527s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000260s ]
  11. SELECT * FROM `article` WHERE `id` < 498915 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000434s ]
  12. SELECT * FROM `article` WHERE `id` > 498915 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.012365s ]
  13. SELECT * FROM `article` WHERE `id` < 498915 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002047s ]
  14. SELECT * FROM `article` WHERE `id` < 498915 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001366s ]
  15. SELECT * FROM `article` WHERE `id` < 498915 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003076s ]
0.101034s