六年级数学圆柱圆锥公式
为落实“双减”政策中减负增效的实践作业要求,探索实现数学新课程标准中培养学生创新精神和实践能力的这一重要目标之路,渭南高新区第一小学六年级数学老师结合本学期“圆柱和圆锥”教学内容,设计了“玩转柱锥”为主题的实践作业活动。
活动一:滚一滚
利用滚动法求圆柱的侧面面积,学生通过观察滚动所形成的图形,进一步了解圆柱侧面的特性。
![](https://p0.ssl.img.360kuai.com/t014ef1fd4cfeddbcd5.jpg)
![](https://p0.ssl.img.360kuai.com/t010a01845e4f84b4e0.jpg)
![](https://p0.ssl.img.360kuai.com/t01ef964ec50583420d.jpg)
![](https://p0.ssl.img.360kuai.com/t019c67338cbee5e7a0.jpg)
活动二:剪一剪
学生利用现成的圆柱模型,沿着不同方向将侧面剪开,观察比较展开图的异同点,并体验圆柱侧面积、表面积计算公式的推导过程。
![](https://p0.ssl.img.360kuai.com/t01cd0df185345e73b4.jpg)
![](https://p0.ssl.img.360kuai.com/t01567177219798e2d6.jpg)
![](https://p0.ssl.img.360kuai.com/t010f8d7fc99cfadbed.jpg)
![](https://p0.ssl.img.360kuai.com/t017983d0ec6142c93d.jpg)
活动三:切一切
学生按不同方式将生活中的“圆柱”和“圆锥”切开,探究截面,了解“截面”的产生过程,体会“面源于体”。
![](https://p0.ssl.img.360kuai.com/t0109143844d5f39a29.jpg)
![](https://p0.ssl.img.360kuai.com/t01b6f44f3b4c7cb7af.jpg)
![](https://p0.ssl.img.360kuai.com/t010c1287b4d2fe5ec5.jpg)
![](https://p0.ssl.img.360kuai.com/t01d4c16737536dce51.jpg)
![](https://p0.ssl.img.360kuai.com/t0186d470b6eb7dcb56.jpg)
活动四:拼一拼
我们能把一个圆采用“化曲为直”的思想方法推导面积计算公式,同样,让学生用转化思想,通过动手实践,推导圆柱体积计算公式。
![](https://p0.ssl.img.360kuai.com/t019589412d32c09e3c.jpg)
![](https://p0.ssl.img.360kuai.com/t0146a102ea148c4bcb.jpg)
![](https://p0.ssl.img.360kuai.com/t01561326c0519a4867.jpg)
活动五:做一做
学生在了解了圆柱、圆锥特点之后,制作圆柱与圆锥创意作品,提高学生的实际操作能力,让学生充分参与到“做数学”的活动中。
![](https://p0.ssl.img.360kuai.com/t015ff7db0b5aadf68d.jpg)
![](https://p0.ssl.img.360kuai.com/t0195a6709858169d86.jpg)
![](https://p0.ssl.img.360kuai.com/t0104873375f6d839ee.jpg)
![](https://p0.ssl.img.360kuai.com/t014b9dbf7090f36f26.jpg)
![](https://p0.ssl.img.360kuai.com/t01460693c28680b9f0.jpg)
![](https://p0.ssl.img.360kuai.com/t0179cb9033a19ba0b7.jpg)
活动六:画一画
圆柱与圆锥知识点多而杂,但知识点之间不是孤立的,让学生从多维度对圆柱和圆锥的知识点进行整理,找出知识点之间联系,绘制思维导图,编织自己的知识网。
![](https://p0.ssl.img.360kuai.com/t013881fb4d5a63dd0f.jpg)
![](https://p0.ssl.img.360kuai.com/t0185a7262c8869d5bd.jpg)
![](https://p0.ssl.img.360kuai.com/t0136db622720ca3224.jpg)
![](https://p0.ssl.img.360kuai.com/t017918621b30871258.jpg)
此次实践活动中,同学们不断在做中学,学中思,思中悟,进一步理解了圆柱和圆锥的特征,发现了两者之间的联系和区别,发展了空间想象能力、逻辑推理能力,体会了数学的应用价值,让学生得以跳出课堂,放飞手脑,去探索更广阔的数学世界!
撰稿:冯琳
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