七年级数学上册第三章有理数的运算3.1有理数的加法与减法(1)学案2(无答案)(新版)青岛版.doc

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1、13.1 有理数的加法一、学习目标1经历有理数加法法则 的探索过程,理解有理数的加法法则2能熟练地运用有理数加法的运算法则进行整数运 算学习重难点重点:是依据有理数的加法法则熟练进行有理数的加法运算。难点:是有理数的加法法 则的理解。二自主学习活动一 现在让我们一起来看一个具体问题:某人从一点出发,经过下面两次运动,结果的方向怎样?离开出发点的距离是 多少?先向东走了 5 米,再向东走 3 米,结果怎样?如果规定向东为正,向西为负,同学们能不能用一个数学式子来表示?表示为画出示意图:先向西走了 5 米,再向西走了 3 米,结果如何?可以表示为: 先向东 走了 5 米,再向 西走了 3 米,结果

2、呢? 可以 表示为先向西走了 5 米,再向东走了 3 米,结果呢?可以表示为先向东走 5 米,再向 西走 5 米,结果呢?可以表示为2先向西走 5 米,再向东走 5 米,结果呢?可以表示为:三、 合作交流先独立完成下面一组有理数加法的具体问题,用数学式子表示出来。 ( 自己不能完成的小组合作交流)从河岸现在水位线开始,规定上升为正,下降为负: 上升 8cm,再上升 6cm,结果怎样? 下降 8cm,再下降 6cm,结果怎样?上升 6cm,再下降 8cm,结果怎样? 下降 6cm,再上升 8cm,结果怎样?上升 8cm,再下降 8cm,结果怎样? 下降 8cm,再上升 0cm,结果怎样?答案:合作交流(探究有理数的加法法则)通过以上两组题目,从两个有理数相加 的过程中你发现了什么?请同学们发表演自己的观点,与本组同学交流。有理数加法法则:四、当堂训练进行下列运算,并分析各题运算过程:(1)(18)(5); (2)(5.8)(8.5);(3)(0.8)(5); (4)(8)(5);(5)(43)(+34); (6)(1 5)0;五、课堂小结通过本节课的学习,你有哪些收获?

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