2014新苏教版五级数学上册七单元解决问题的策略教案.pdf
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1、1/8 六解决问题的策略教案目标:1、使学生经历用“一一列举”的策略解决简单实际问题的过程,能通过有条理的列举分析有关实际问题中的数量关系,并获得问题的答案。2、使学生在对解决简单实际问题过程的反思和交流中,感受“一一列举”策略的特点和价值,进一步发展思维的条理性和严密性。3、使学生进一步积累解决问题的经验,增强解决问题的策略意识,获得解决问题的成功经验,提高学好数学的信心。教案重点:能对信息进行分析,用列举法解决问题,体会多样化的解决问题的策略。教案难点:能正确运用列举法解决问题,得到解决问题的全部答案,优化解决问题的策略。教具学具:小黑板教案挂图教案课件教案课时:3 课时第 1 课时用“一
2、一列举”的策略解决问题2/8 月日教案内容:教科书 P9495 例 1 及相应的“练一练”,“练习十七”第 14 题。教案目标:1、使学生经历用列举的策略解决简单实际问题的过程,能通过不遗漏、不重复的列举找到符合要求的所有答案。2、使学生在对解决简单实际问题过程的反思和交流中,感受“一一列举”的特点和价值,进一步发展思维的条理性和严密性。3、使学生进一步积累解决问题的经验,增强解决问题的策略意识,并获得解决问题的成功体验,提高学好数学的信心。教案重点:使学生经历用列举的策略解决简单实际问题的过程,能通过不遗漏、不重复的列举找到符合要求的所有答案。教案难点:使学生在对解决问题简单实际问题过程的反
3、思和交流中,感受“一一列举”的特点和价值,进一步发展思维的条理性和严密性。教具准备:小黑板教案课件教案过程:一、谈话导入。1、回想一下,过去我们学习过哪些解决问题的策略?2、你们说到的列表、画图这两种策略都是用来整理问题中的信息,便于我们分析数量关系,最后还是通过列式计算解决问题。这节课我们学习的策略则不然,运用这种策略就能找到问题的答案,不需要再列式计算。那么这是一种什么策略呢?让我们在解决问题的过程中去体验吧。二、探究策略。1、教案例 1。王大叔在围羊圈的时候遇到了一个数学问题,他究竟碰到了什么困惑?让我们一起去看一下吧。出示例1,你愿意帮助王大叔解决困难吗?提问:从题中你找到了哪些数学信
4、息?要确定围成一个什么样的长方形,我们要考虑的什么?你是怎么想的?(知道长和宽。)怎样才能知道长方形的长和宽呢?C=2(a+b)(a+b)=C 2=222=11 知道长方形的长和宽的和是11M,你有信心把不同的围法都找到吗?把你找到的围法和你的同桌说一说吧。指名回答。大家这样有条理地表达是能够解决问题的,但是都写下来,似乎也比较麻烦,有没有更简单的方法能很好地找出所有不同的围法?(让学生发表意见,把意见统一到列表上来。)出示表格:请你把刚才所找到的所有围法都记录在表格中文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6
5、H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8
6、E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3
7、T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L
8、2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编
9、码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10
10、Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5
11、J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X33/8(学生各自填表,教师巡视,收集学生列表)出示学生表格:长方形的长 M 10 9 8 7 6 5 4 3 2 1 长方形的宽 M 1 2 3 4 5 6 7 8 9 10 提问:这两张表格有什么相同和不同的地方?要研究一共有多少种不同的围法,你认为哪张表格是正确的?为什么?通过刚才的交流和
12、对比你认为在“一一列举”时最应该注意什么呢?板书:有序这样有顺序的一个一个排列出来有什么好处?板书:不重复不遗漏小结:像这样把事件发生的可能性有条理地一一列举出来,从而找到问题答案的策略,就是我们今天要研究的策略,这种策略就是“一一列举”。板书:一一列举在大家的帮助下,王大叔知道了羊圈一共有5 种不同的围法,可这会他又在纳闷该选择哪种围法?有没有什么好的建议给王大叔?指名回答:为什么呢?根据学生回答,教师适时加入面积一栏。学生口算,教师填入面积。提问:观察长方形的长、宽和面积,你发现了什么?(周长相等的情况下,长方形的长和宽越接近,面积越大。)小结:看来有顺序的一一列举,还可以帮助我们发现隐藏
13、的数学规律。2、讨论:在以前的学习中,我们曾经运用列举的策略解决过哪些问题?(1)一组一组地写出10 可以分成几和几。(2)用 12 个边长 1 厘 M的正方形拼成不同的长方形。(3)有序地写出 3 张数字卡片能组成的所有三位数。三、巩固练习。谈话:刚才同学们表现得都不错,现在到了检验大家学习成果的时候,有信心接受挑战吗?1、做“练一练”第1 题。(1)出示题目:有一种音乐钟,每隔一段相等的时间就发出铃声。已经知道上午 9:00 9:40 10:20 和 11:00 发出铃声,那么下面哪些时刻也会发出铃声?13:00 14:40 15:40 16:00 指名读一读。(2)学生先尝试完成。(3)
14、学生独立完成后汇报交流,教师主要掌握学生一一列举时的顺序。2、做“练一练”第2 题。长方形的长 M 10 9 8 7 6 长方形的宽 M 1 2 3 4 5 文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3
15、H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1
16、 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4
17、Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9
18、 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T1
19、0T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X
20、3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X34/8 学
21、生各自做题,指名说结果(12种)。3、做“练习十七”第2 题。学生各自做题,集体交流订正。四、全课总结。今天学习解决问题的策略是什么?可以用哪些方式列举?列举时要注意什么?通过这节课的学习,我们又学会了一种新的解决问题的策略:一一列举。在用一一列举策略的同时,我们还用到了其他策略,你知道用到了哪些策略吗?(列表、画图)随着你们知识的增长,将来一定会发现更多、更妙的解决问题的策略。五、课堂作业。P97第 1、3、4题。板书设计:解决问题的策略一一列举不重复长方形的周长=22M 有顺序不遗漏长方形的长+宽=222=11M 教案后记:第 2 课时解决问题的策略列举月日教案内容:教科书 P96例 2
22、及相应的“练一练”,“练习十七”第58 题。教案目标:1、让学生继续在解决问题的过程中体验并掌握列举的策略,会用这种出策略解决一些稍复杂的实际问题。文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J
23、1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H
24、4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E
25、9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T10T8L2X3文档编码:CL10Q3H1G5J1 HG6H4Y1D8E9 ZG3T
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