七年级数学上册第三章整式的加减3.4整式的加减教学设计(新版)华东师大版.doc

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1、13.4 整式的加减教学目标:1.理解与掌握整式加减的一般步骤.2.能熟练地进行整式的加减运算.3.渗透类比及整体的数学思想.教学重点:能熟练地进行整式的加减运算是本节课的重点.教学难点:熟练与准确、灵活应用所学知识点是本节课的难点.教具准备:多媒体.教学过程:1. 情境导入:首先实际生活问题,激发学习兴趣,分析提出问题,导入新课.2. 探究新知:引导同学们根据提出的问题,在寻求答案时,展示了上节课的习题,提出问题的同时,总结出整式加减的一般步骤,从而训练学生对新知识的大胆探索并用新知识解决导入时提出的问题.3.新知运用:通过一系列例题及练习问题的解决,使学生能够准确对单项式与单项式进行加减,

2、并能对多项式与多项式进行加减,明确整式的加减的理论基础,加强对学生对已学知识的掌握与巩固.4.知识拓展:通过拓展练习进行进一步的尝试与探究,发现解决问题的同时,注意对知识的整合,并提出运算中的注意事项,例如运算的结果按某一字母的降幂排列结合反馈练习,加深同学们对整式的加减的认识,并通过练习进一步复习了单项式、多项式、去括号、添括号的知识,也通过题目的简便算法提出了类比及整体的数学思想,为数学学习打下基础.5.例题学习:例 1:求整式 x27 x2 与2 x2+4x1 的差.解:原式=( x27 x2)(2 x2+4x1)= x27 x2+2 x24 x+1=3x211 x1.例 2:计算:2 y3+(3xy2 x2y)2( xy2 y3).2解:原式=2 y3+3xy2 x2y2 xy2+2y3= xy2 x2y.例 3:化简求值:2 x2y3 xy2+4 x2y5 xy2,其中 x=1, y=1.解:原式=(2 x2y+4 x2y)(3 xy2+5 xy2)=6 x2y8 xy2.当 x=1, y=1 时,原式=14.6.本节小结:通过对本节课的小结,提高同学们对本节课的认识,特别加深同学们对整式的加减的认识与巩固,归纳总结了整式加减的一般步骤:先去括号,再合并同类项,通过练习加强学生对已学知识的灵活应用,进一步明确了数学学习中的思想与方法.

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