“钉子板上的多边形”是苏教版五年级上册安排的一次“探索规律”的专题活动,主要引导学生通过观察、操作、猜测、验证等活动,探索和发现钉子板上多边形的面积与它的边上钉子数,以及多边形内部钉子数的关系,并能用含有字母的式子表示发现的规律。这一规律最先是由奥地利数学家乔治?皮克发现的,所以也称为“皮克定理”。本次“探索规律”的专题活动极具探索性,能充分展现数学探索活 Polygons on the Nailboard are the special activities of the fifth grade of the Sujian edition, exploring the laws, which mainly guide the students to explore and discover the polygons on the nailboard through observation, operation, speculation and verification. The area of ​​the nail, the number of nails on its edge, and the number of nails inside the polygon, and can use the alphabetical expression to indicate the law of discovery. This law, first discovered by the Austrian mathematician George Pick, is also called the “Pick’s theorem.” The “exploration of law ” thematic activities are very exploratory, can fully demonstrate the mathematical exploration of live