探索规律北师大版六年级数学下册第十二册数学市名师优质课比赛一等奖市公开课获奖课件.pptx

单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,探索规律,（北师大版）六年级数学下册,观察是处理问题先导,石屏县异龙小学 孙卫波,第1页,教学目标,1.,知识目标：引导大家探求给定事物中隐含规律或改变趋。,2.,能力目标：让大家体验经历探索规律形成过程，加深对所学数、图形了解，发展大家观察、归纳、概括能力。,3.,情感目标：引导大家进行知识梳理，沟通知识之间联络，体会知识与生活联络。,第2页,一首唱不完歌,1,只青蛙,1,张嘴,2,只眼睛,4,条腿,扑通,1,声跳下水,;,n,只青蛙（）张嘴,（）只眼睛,（）条腿,扑通（）声跳下水。,n,2n,4n,n,3,只青蛙,3,张嘴,6,只眼睛,12,条腿,扑通,3,声跳下水,;,2,只青蛙,2,张嘴,4,只眼睛,8,条腿,扑通,2,声跳下水,;,第3页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,x,f,d,s,h,第4页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第5页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第6页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第7页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第8页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第9页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第10页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第11页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第12页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第13页,探索数与数之间规律：,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,第14页,(1),假如用数字“,1”,表示正方形大小。,（,2,）现在正方形大小怎么表示？,（,3,）现在正方形大小呢？,（,4,）接着画第,4,个？,（,5,）请描述第,10,个图形样子？,22,33,44,（,6,）假如用,N,表示第几项数，用,X,表示图形个数，你能用一个关系式来它们之间规律吗？,探索数与图之间规律：,X=NN,2,=N,第15页,按图中方式继续排列桌椅，完成下表,桌子张数/张,1,2,3,4,5,可坐人数,/,人,摆 桌 椅,6,10,14,18,22,桌子张数与可坐人数之间有什么关系？,n,4n+2,第16页,桌子张数/张,1,2,3,4,5,可坐人数,/,人,6,8,10,12,14,n,2n+4,桌椅摆放方式不一样，,所展现规律也不一样。,摆 桌 椅,第17页,1.,六（,2,）班同学按下面规律为教室挂上气球。,第,20,个气球是什么颜色？第,27,个呢？请说明理由。,你能发觉以下图形规律吗？,1,2,3,4,0,第18页,魔方故事,第一个图形由,1,个小正方体搭成；,第二个图形由,个小正方体搭成；,第三个图形由,个小正方体搭成；,由此搭下去，第,n,个图形由,个小正方体搭成。,8,27,n,3,第19页,思索题,高斯故事,1+2+3+100=,5050,你知道高斯是怎样算吗？,等差数列求和公式,和（首项末项）,项数,2,第20页,一批小球按下面方法堆放,你知道第,n,堆有多少个小球吗？,(1+,n,),n,2,第,5,堆有（,),个小球，,第,8,堆有（）个小球。,15,36,第21页,历年相关考题,（）一根绳子对折3次后，从中间剪开，能够剪成（）段绳子。,（）数一数，图中共有（）条线段。,（）欣欣今年有（a5）岁，毛毛今年有a岁，再过x 年后，,他们年纪相差（）岁。,（）木工锯一根木料，若锯成3段，需6分钟，以一样速度，,若锯成6段，需要（）分钟。,（）a只青蛙（）张嘴，（）只眼睛，（）条腿。,（）一个自然数用m表示，那么与它相邻两个 自然数分别,是（）和（）。,A,B,C,D,E,F,9,15,5,15,a,4a,2a,m-1,m+1,第22页,敬请指导！,第23页,