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1、 8.4《釘子板上的多邊形》ppt課件 小學(xué)五年級數(shù)學(xué)上冊 蘇教版 第8單元 用字母表示數(shù) 4 釘子板上 的多邊形 學(xué)習(xí)目標(biāo) 1.使學(xué)生在操作、觀察、猜測、驗證等活動中，發(fā) 現(xiàn)在釘子板上圍出的多邊形與它的邊所經(jīng)過的釘子 數(shù)，以及多邊形內(nèi)部釘子數(shù)的關(guān)系，會用含有字母 的式子表示發(fā)現(xiàn)的規(guī)律。 2.使學(xué)生在探索規(guī)律、發(fā)現(xiàn)規(guī)律和表達規(guī)律的過程 中，進一步感受數(shù)學(xué)抽象的意義，培養(yǎng)比較、分析 和簡單推理的能力，增強發(fā)現(xiàn)問題、提出問題的意 識，積累數(shù)學(xué)活動經(jīng)驗。 復(fù)習(xí)導(dǎo)入 復(fù)習(xí)導(dǎo)入 復(fù)習(xí)導(dǎo)入 引出問題 ● ● ● ● ● ● 數(shù)一數(shù)，下面圖形的面積？ 1㎝ ● ●

2、 ● ● ● ● ● ● ● ● ● ● ● ● 1㎝ ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

3、 ● ● ● ● ● ?● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 引出問題 1厘米 厘 米 數(shù)一數(shù)，下面圖形的面積？ 1 引出問題 1厘米 厘 米 數(shù)一數(shù)，下面圖形的面積？ 1 ? ? ? ? 激活猜想 ● ● ● ● ● ● ● ● ● ● ● ● 1㎝ ● ● ● ● ● ● 1、 ㎝ ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 、 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

4、● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ① ● ● ● ● ● ● ② ● ● ● ● ③ ● ● ● ● ④ ● ● ● ● 圖形編號 多邊形的面積/平 方厘米 多邊形邊上的釘子 數(shù)/枚 ① ② ③ 2 3 3.5 4 ④ 4 6 7 8 激活猜想 圖形編號 ① ② ③ S=n÷2 多邊形的面積 多邊形邊上的 /平方厘米 (s) 釘子數(shù)/枚 (n) 2 3 3.5 4 6 7 ④ 4 8 數(shù)學(xué)是研究千變

5、萬化中不變的規(guī)律 ——開普勒 進行驗證 1㎝ ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 1㎝ ● ● ● ● ● ● ● ● ● ● 、 ● 、 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● n=10 s=6 ● ● ● ● ● ● ● ● n=9 s=5.5 ● ● 11