Article
CRACKING
CODES LAUNCHING ROCKETS
In the article, give information to us about cracking
codes launching rocket. In historically real-life application of a
cryptographic coding technique, which correlate algebra and geometry, makes
mathematics come alive in the classroom. In teaching mathematics, teacher wish
connect some brach of mathematics. Then, teacher should to correlate in the
real-life. This lessons use algebra and geometri. Algebra is used to finding
equation of line between two pint. But, geometri is used to define two line. This
teaching integrates the first Standard for Mathematical Practice from the
Common Core State Standards (CCSSI 2010) and many of the NCTM Process
Standards—namely, Problem Solving, Reasoning and Proof, Communication, and
Connections (NCTM 2000).
Who Should Have The Code
At this point, how do distributing a lunch code in
United States. The students think about it. Many students say that only the U.S
president have that code. As long as discussion, come to relize that if only the president
is given the launch codes and something happens to him or her, then the codes
will be lost; no one else will be able to launch the missiles. Then, many
students suggest that two people have the code. However, having only two people
with the code still creates problems. If one person decides to defect, is
captured, or dies, a missile still cannot be launched. To resolve this problem,
another student may suggest that there should be four people, two with half the
launch code and two with the other half. The situation leads them to solve a
problem in a nonmathematical context and communicate their solution strategies
to their peers and teacher, thus addressing NCTM’s Problem Solving and
Communication Standards (NCTM 2000)
Algebra, Geometry, And The Two-Person
Rule
The idea is needed determine a line from the geometric
axiom that two points. In introduction of geometric axiom, teachers can
correlate students and his real-life problem. However, two people will
determinate the equation of line that extends between their two pints. It does
not matter which two people share their knowledge. The algebra is used to
desaign a launch code can be hidden, they still need a way to implement this
system. At this points, to prevent this situation in real life, a computer
would randomly generate both the launch code and the slope.
The Launch Code Activity
Students give a partner and a point and have two of
them find a launch code. This exercise is used if time is limited. They will
know that they have found their partner when the slop between their points is
an integer between 1 and 10. Students may have problems with rounding, causing
difficulty in finding an exact launch code. The real-life application of the
two person rule use integers and modular arithmetic.
Extension: Converting Letters To Numbers
Student have found launch code can informed that this
problem has another level. In cryptography, letters replaced by their numerical
value. A teacher can adjust the message by choosing a saying, converting the
letters to numbers, and making these the
y-coordinate of the y-intercepts of
different lines. This exercise adds another level of intrigue and interest that
can be explored, especially if all students finish early.
A Lesson For Everyone
Furthermore this lesson is very interesting to
students, but teachers dislike the idea to integrating a war scenario into
mathematics subject. Two person have other application, including banking
and IT security. But, Students are less interested in and less knowledgeable
about banking or IT security than they are about World War II and the Cold War.
Students is very happy and dissatisfied to find a launch code in classmates.
everyday, students always request to teacher to find launch codes again.
Connecting history, geometry, algebra, and cryptography makes this an
interesting and enjoyable lesson for all students.
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