Cracking code and launching rocket

Wawan Setia Budi_B_11600013

Dalam artikel ini terdapat beberapa bagian yang cukup menarik. Dalam artikel ini dijelaskan bahwa ketika setiap siswa dapat memecahkan sebuah kode rahasia untuk  bisa meluncurkan suatu roket maka akan terjadi suatu bahaya yang sangat besar. Oleh karena itu diperlukan berbagai tahapan untuk bisa memecahkan kode tersebut. Dalam pembelajaran ini siswa diajak untuk berdiskusi tentang bagaimana cara memperoleh dan menemukan suatu kode peluncuran roket. Dalam hal ini informasi kode peluncuran roket tidak akan bisa dipecahkan jika hanya diperoleh dari 1 siswa tanpa kerjasama dengan siswa sehingga diperlukan kerjasama antara siswa satu dan lainnya. Siswa akan dibawa menuju ke materi geometri yang akan membantu memecahkan permasalahan tersebut sehingga akan membentuk sebuah lereng. Hal itu merupakan aplikasi secara langsung dari Aljabar yang kemudian akan dikenalkan konsep kriptografi mengenai peluncuran rudal. Semua tadi tertuang dalam bagian “The first key idea needed is the geometric axiom that any two points determine a line. Although almost all the students will already understand this idea, it is critical to this application. In introducing the axioms in a geometry class, teachers could use this lesson as a way to engage students with a historically significant, real -life problem whose solution relies on an axiom. If several people are given coordinates of a point on the same line, none will be able to find an equation of the line with only his or her coordinates. However, any two of these people will have the ability to determine the equation of the line that extends between their two points. It does not matter which two people share their knowledge; all the points are on the same line. Thus, we create a framework in which one person does not have enough information to do anything, but any two persons can share their knowledge to construct something useful. This technique allows the class to choose multiple high-ranking officials such that any two can join forces to launch the missiles. Now that students have an idea of how to design a system whereby a number (the launch code) can be hidden, they still need a way to implement this system. This is where algebra comes in. Each person is given the coordinates of a point in the Cartesian plane. Once two of the people meet, they can use their points to find a slope and then use one of the points and the slope to find the equation of the line. The line has already been designed so that the y-intercept is the launch code. In this ingenious design, students make connections between mathematical ideas, an element of NCTM’s Connections Standard (NCTM 2000). I then introduce the term two-person rule, which is the proper term for the cryptographic procedure (Trappe and Washington 2006).”