2022年平行四边形的面积教学案例 .pdf

学习好资料欢迎下载平行四边形的面积教学设计案例教学内容：平行四边形的面积。学习内容分析：平行四边形的面积是新课标人教版五年级数学上册多边形的面积 第一节的内容。通过学习，让学生掌握平行四边形的面积计算公式，经历并理解公式的推导过程，运用公式进行相关计算，并初步认识转化的方法，发展空间观念。这部分知识的学习运用会为学生学习后面的三角形、梯形，圆等平面图形乃至立体图形表面积奠定良好的基础。由此可见，本课的内容在整个教材体系中起到了承上启下的作用。学生分析：本节课，学生将通过转化的方法，由长方形的面积公式推导出平行四边形的面积计算公式。感受数学与生活的密切联系，体验数学的价值，渗透“变中有不变”的辨证观念。对于“转化”的思想，部分学生不容易接受。教学目标：知识与技能：通过学生的动手操作，让学生掌握平行四边形的面积计算公式，经历并理解公式的推导过程，并运用公式进行相关计算。过程与方法：通过操作、观察、比较等活动，初步认识转化的方法，发展空间观念。培养学生观察、分析、概括、推导的能力。情感态度与价值观：在独立思考、自主探索和合作交流的学习活动中，培养学生的自主意识，探索精神。感受数学与生活的密切联系，体验数学的价值，渗透“变中有不变”的辨证观念。教学重点：学习好资料欢迎下载探究并推导平行四边形的面积计算公式，并能正确运用。教学难点：1、理解平行四边形面积公式的推导方法 转化与等积变形。2、渗透“转化”的思想，发展空间观念。教学设计思路：1.复习旧知，导入新课引导学生复习长方形面积计算公式，平行四边形特征。为新知识的学习作好铺垫。然后创设情境，引出问题：平行四边形的面积如何计算？2.用数方格的方法，求出课本上平行四边形的面积，学生很容易发现长方形面积与平行四边形的面积相等。这时启发猜想，是不是平行四边形的面积就是底高呢？当一个平行四边形很大时，我们还能用数格子的方法求它的面积吗？引发思考：是否有其它的方法来求平行四边的面积。3.剪拼转化，验证猜想活动是认知的基础，动手操作是学生学习循序渐进的探索过程。由于前面在数格子时就有同学提到用割补法来求面积，教师这时顺水推舟，让学生动手操作，想办法将平行四边形转化为长方形，之后汇报。引导比较两个图形，拼出的长方形与原平行四边形比较什么变了，什么没变？拼成的长方形的长与原平行四边形的底有什么联系，长方形的宽与原平行四边形的高有什么联系？顺势引导学生得出推导过程：将平行四边形剪、拼后转化成长方形，拼成的长方形的长就是平行四边形的底，宽就是平行四边形的高。因为长方形的面积=长宽，所以平行四边形的面积=底高。4.课堂练习，诊断学习效果。教学准备：计算机、投影仪、教学用具（方格纸、长方形和平行四边形纸、三角尺、剪刀等）文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3学习好资料欢迎下载教学过程：一、课前准备。课件演示：出示一个长方形和一个平行四边形，让学生口算出长方形的面积，说出平行四边形的名称，指出它的底和高。（通过复习旧知识，为学习新课做好铺垫。）二、激趣引入。1.出示课本上的主题图，一个长方形花坛和一个平行西变形花坛，提问：你觉得那个花坛面积大？（激发学生的学习兴趣。）2.让学生用数方格的方法求出两个图形的面积，并填好课本上的表格。3.提问：请观察表中的数据，你发现了什么？（培养学生的观察比较能力）4.根据刚才的发现，你能大胆猜想平行四边形的面积是怎样计算的吗？揭示课题后让学生说自己的猜想。（引发学生提出猜想，有了验证猜想的欲望，进一步激发学习兴趣。）三、探究公式。（一）提出问题，出示探究学习提纲。1、如何把平行四边形剪拼成长方形？2.拼后面积有变化吗？拼出的长方形的长、宽与原来的平行四边形的底、高有什么关系？3.你能根据长方形面积的计算公式推导出平行四边形的面积计算公式吗？（二）组织学生自主探究。（使学生在实验操作的过程中，认真观察、分析、思考，体验并理解公式的推导过程。）（三）组织学生进行学习成果汇报。（通过成果展示，培养学生表现自我的意识。）四、点拨归纳。文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3学习好资料欢迎下载1.提问：还有哪个小组的同学用了不同的操作方法？（只要沿着平行四边形内的任意一条高剪开，都可以把平行四边形拼成一个长方形，培养学生的发散思维。）2.引导学生归纳总结面积公式。（培养学生的概括总结能力）五、诊断提高。依次出示题目，让学生计算解答。（巩固平行四边形面积公式的应用，并培养其合作交流的意识和能力。）六、课后小结。提问：说说这节课你有哪些收获？（培养学生的归纳总结能力和语言表达能力。）文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3文档编码:CG1K1V5D9Y10 HD2B6J8T4F6 ZF9C5I9H5T3