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六上数学《分数乘整数》课件|配 AI 视频 公开课直接用

  • 2026-09-20 17:08:01
六上数学《分数乘整数》课件|配 AI 视频 公开课直接用
六上数学,分数乘整数这课,不少老师反馈很容易上得枯燥。要么对着算式讲算法,学生死记硬背;要么算理讲不透,学生只会套公式做题,问为什么分母不变就说不清楚。这套换了「非遗千纸工坊」的情境,把算理揉进纸艺制作的任务里,顺着 “做纸花算用纸量” 的思路走下来,学生理解得透,常规课和公开课都适用。
🎬 配了 AI 视频
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开头是纸艺工坊的小故事,阿笺带着新任务出场,自然带出 “遇到几个相同的量,怎样写得更简便” 的核心问题。不是一上来就讲计算,先把学生的注意力拉进情境里。
🔍 课件内容拆解
封面直接点题「非遗千纸工坊」,整节课都围绕纸艺任务展开,不是零散的计算练习,课堂有主线,代入感也强。
先复习整数乘法的含义,勾连旧知识。再抛出问题:相同加数是分数的话,还能用乘法吗?带着疑问往下走,接受度更高。
从 “做一朵花需要 3/8 张纸” 切入,先讲清分数的意义,把一张纸平均分 8 份取 3 份。从具体的纸样入手,不是直接讲抽象算式。
做 2 朵花就是 2 个 3/8 张纸,让学生自己想怎么表示。自然引出加法和乘法两种写法,把整数乘法的含义迁移过来。
小组合作摆纸样,探究为什么分母不变。用直观的纸片拼摆,学生能自己看出 “总份数没变,只是取的份数变多了”,算理理解得更扎实。
从纸样抽象出算式,把乘法转化成加法推导,一步步得出 “分子乘整数、分母不变” 的算法。不是直接甩公式,是带着学生推出来的。
专门设置了 “分母要不要也乘 2” 的辨析。把容易错的点拎出来对比,结合纸样讲原因,学生不容易再踩坑。
加大数量,做 8 朵花的批量订单。让学生先自己算,再对比不同算法,主动感受先约分的简便性。
把先乘后约分、先约分再计算两种方法摆在一起对比。学生自己就能看出哪种更省事,不用反复强调 “要先约分”。
整理计算诀窍,把方法说完整:分子乘整数、分母不变,能约分先约分,结果要化简。清晰好记,学生能自己梳理步骤。
三道基础计算题,有能约分的,有不能约分的。练手的同时,巩固 “先观察再计算” 的习惯。
千纸工坊的进阶任务,算 4 朵装饰纸莲的用纸量。呼应开头的工坊情境,也再一次巩固计算方法。
设计了 “小小讲解员” 环节,让学生自己讲算理、讲方法。不光会算,还能说清楚为什么,知识点落得实。
收尾配了 AI 结束视频,从一张纸的用量讲到纸艺作品的完成,回扣传统纸艺的主题。不是硬升华,是把数学和生活、传统文化联系起来,课堂收尾很完整。
整套一共 20 页,配套的教案和逐字稿都整理好了,环节怎么推进、提问怎么引导、重难点怎么突破都写得很细。不用自己熬夜磨课,拿到手调整下就能直接用。
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  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000828s ]
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  6. SELECT * FROM `set` [ RunTime:0.000314s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000711s ]
  8. SELECT * FROM `article` WHERE `id` = 530452 LIMIT 1 [ RunTime:0.000362s ]
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  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000330s ]
  11. SELECT * FROM `article` WHERE `id` < 530452 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000428s ]
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  13. SELECT * FROM `article` WHERE `id` < 530452 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000541s ]
  14. SELECT * FROM `article` WHERE `id` < 530452 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000578s ]
  15. SELECT * FROM `article` WHERE `id` < 530452 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000727s ]
0.089265s