人教版2022年六年级数学上册 倒数的认识 导学案

3倒数的认识导学案设计课题倒数的认识课型新授课设计说明“倒数的认识”是在学生学习了分数乘法的基础上进行教学的，它既是分数乘法计算的后继内容，也是学习分数除法的基础，起着承上启下的作用。这部分知识主要包含两部分：一是倒数的意义，二是求一个数倒数的方法。基于以上认识，本节课教学设计如下：1.游戏激趣，迁移揭题。上课伊始，通过反义词知识，帮助学生理解“互为”的含义，为建构新知扫清语言理解上的障碍，然后通过知识迁移，自然地导入倒数知识的学习。2.发现、讨论、探究新知。教师以组织者、引导者、合作者的身份，让学生主动参与到整个学习的过程中，为学生充分提供发现、讨论的机会。先让学生观察乘积是1的算式，引出倒数的意义，再根据倒数的意义，求一个数的倒数。3.全方位练习，提高准确度与计算速度。多角度、全方位地设计练习题，让学生熟练地掌握求一个数的倒数的方法。学前准备教具准备:PPT课件学具准备:口算卡教学过程教学环节教师指导学生活动效果检测一、激趣导入。(7分钟)1.反义词游戏，抢答所给词语的反义词，教师说，学生答。黑－快－上－里－2.借助反义词，引导学生理解“互为”的含义。1.快速说出教师所说出的词语的反义词。1.口算。(1)××6××404/4 3.根据每组字的规律，填数。呆――杏――（）吞――吴――（）4.导入新课，板书课题。仔细观察分子和分母的位置关系，这节课我们来学习有关倒数的知识。2.理解“互为”的含义，并举例说明。3.按要求回答教师提问，初步感知倒数。4.明确本节课学习内容。(2)×  ×3×   ×80二、探究新知。(20分钟)1.明确倒数的含义。课件出示教材24页例1。（1）引导学生认真计算并思考，发现规律。（2）交流发现的问题。（3）引导学生总结几组算式的共同特点，引出倒数的概念。（4）明确倒数的含义。乘积是1的两个数互为倒数。（5）指名举例说出什么是倒数。2.探究求倒数的方法。课件出示教材24页例2。（1）学生独立解答。（2）引导学生观察互为倒数的两个数的分子、分母各有什么特点？（3）指导学生分小组讨论：你怎样才能快速地找到一个数的倒数？总结：将这个数的分子和分母调换位置。1.（1）观察例题，独立计算，初步观察算式的特点，发现规律。（2）在小组内交流发现的问题并汇报。（3）观察分子和分母的位置变化，总结几组算式的特点。（4）尝试表述倒数的概念。（5）根据倒数的特点，举例说出两个倒数。2.（1）尝试独立解答。（2）观察互为倒数的两个数的分子、分母，总结特点和规律。2.判断。（1）任意一个数都有倒数。（）（2）a是自然数，它的倒数是。（）（3）因为＋＝1，所以和互为倒数。(  )（4）0.3的倒数是3。（）（5）1的倒数是1，0的倒数是0。（）（6）得数为1的两个数互为倒数。（）4/4 （4）组织讨论：1的倒数是多少？0有倒数吗？（3）在小组内讨论、交流找一个数倒数的方法。（4）在小组内讨论，1的倒数是多少？0有没有倒数？三、训练深化。（9分钟）1.写出下面各数的倒数。  28 2.游戏：互说倒数。组织学生进行分组游戏，两人一组，一同学说出一个数，另外一个同学快速说出它的倒数。1.在练习本上独立完成，同桌互检，进行评价。2.进行互说倒数的游戏。3.列式计算。（1）的倒数与0.25的倒数的积是多少？（2）最小质数的倒数减去最小合数的倒数，所得的差的倒数是多少？四、总结收获。（4分钟）1.师总结本课学习内容。2.布置课后学习内容。谈本节课的收获。教师批注板书设计倒数的认识1.乘积是1的两个数互为倒数。2.求一个数(0除外)的倒数，只要把这个数的分子、分母调换位置即可。3.0没有倒数，1的倒数是它本身。4/4 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