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1、人教版数学七年级下册算术平方根说课稿各位老师,同学们好:我今天说课的题目是“算数平方根”第一课时,课程选自:人教版义务教育教科书数学七年级下册第六章第一节,我主要从教材分析、教学目标、教学重难点、教学方法、教学过程、教学评价这六个方面来阐述对这堂课的教学设计。一、教材分析算术平方根的概念和性质的教学是对无理数的认识,数域从有理数到实数范围扩充的一个前提,也是之后学习二次根式及其运算的一个基础,在整个代数学习中有举足轻重的作用。二、教学目标:知识目标:1、使学生正确理解算术平方根的概念。2、能用平方运算求某些数的算术平方根,并会用符号表示算术平方根。能力目标:1、通过具体情境的观察、思考、类比、
2、探索、交流和反思等数学活动培养学生创新意识,使学生掌握研究问题的方法,从而学会学习。2、通过具体情境贴近学生生活,让学生在生活中挖掘数学问题,解决数学问题,使数学生活化,生活数学化。会利用算术平方根的知识解决有关问题。3、通过知识梳理,培养学生的概括能力、表达能力和逻辑思维能力。情感目标:通过具体情境的探索、交流等数学活动培养学生的团体合作精神和积极参与、勤于思考意识。三、教学重点、难点:教学重点:算术平方根概念的理解和求法。教学难点:算术平方根概念的理解和求法。四、教学方法与手段:1 教学方法利用引导发现法、讨论法,引导学生从具体生活情境及已有的知识和生活经验出发,提出问题与学生共同探索、学
3、生与学生共同探索,以调动学生求知欲望,培养探索能力、创新意识。2 教学手段利用多媒体创设教学情境,引导学生观察、探索、发现、归纳来激发学生学习兴趣、激活学生思维,以利于突破教学重点和难点,提高课堂教学效益。五、教学过程:(一)创设情境,导入新课:问题:1、学校要举行美术作品比赛,小鸥想裁一块面积为25dm2的正方形画布,画上自己的得意之作参加比赛,这块正方形画布的边长应为多少?2、已知正方形的面积分别为1、9、16、36、425、它的边长分别文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D
4、7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6
5、F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4
6、L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M
7、1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:C
8、G6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 H
9、U4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE
10、1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4是多少?(教师操作媒体,展示幻灯片,提出问题。学生思考并回答问题。)(二)合作交流、解读探究:问题:什么叫算术平方根?(一般地,如果一个正数x 的平方等于a,即 x2=a,那么这个正数 x 就叫做a的算术平方根)记为:a(a0)读作:“根号 a”,a 叫被开方数(教师启发、指导学生理解概念;学生朗读概念、理解概念。)规定:0 的算术平方根是 0。(三)应用迁移、巩固提高:1 例:求下列各数的算术平方根:(1)100
11、,(2)6449,(3)0.0001。(教师启发、指导学生大胆猜想,引导学生探究学习方法。操作媒体,展示解题过程。学生同桌、前后左右同学进行讨论。并请几位说一说,再探讨结论。)2 练习:1、求下列各数的算术平方根:(1)144(2)(3)0.16 (4)62 (5)(-3)22、求下列各式的值:(1)1(2)925(3)24(4)0(教师选择有代表性的学生作业,后教师点评。学生做练习后由两位板演,其他同学互批互评。)3 巩固:下列各式是否有意义,为什么?(1)4(2)4(3)(4)2110(解答:出示幻灯片)2381121文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D
12、7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6
13、F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4
14、L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M
15、1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:C
16、G6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 H
17、U4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE
18、1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4(四)小结、反思:(1)什么是算术平方根?如何求一个正数的算术平方根?(2)什么数才有算术平方根?(五)布置作业:(1)教科书 41 页练习第 1、2 题。(2)教科书 47 页复习巩固第 1、2 题。六、教学评价本节课的设计从学生的认知规律出发,教给学生探求知识的方法,教会学生获取知识的本领,在教学中,努力创设平等的师生关系,让学生
19、在和谐的课堂氛围中达到目标。谢谢大家!文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1
20、D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG
21、6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU
22、4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1
23、M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:
24、CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4文档编码:CG6F9W10Z8G2 HU4L3P5Q2Q1 ZE1M1D7D2T4