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Cracking Codes & Launching Rockets
At the beginning of the lesson the teacher tried to incorporate
between the history of the real life and other branches of mathematics. In this
article cracking codes and launching rockets. Student divided into several
groups to dvelop the strategy to crack the code and also launcing rockets. The technique
is done to evoke the spirit of the students in a problem solving and
mathematical communication. The material that will be taught are geometry and
algebra.
Who should have to code?
Students are asked ti imagine that anyone of anyone who
distributing the launch codes for United State. They thought that the chosen
strategy on target. They think just choose the president but when lost, the
rocket can not be launch. Finally they to choose the important people.
Algebra, Geometry and the two person rule
The first key is needed is a geometric axioms two points to define
the line. If some people are just given the coordinates of points on the same
line, none will be able to find the equation of the line. If the several
exchange opinions will be able to fing and build something useful. Students have
an idea how to design a system in which a number (the launch code) can be
hidden, they still need a way to implement this system. This is where the
algebraic entry. Each person is given a point in Cartesian coordinates. The teacher
gives code 1234 then teacher ask the student choise slope is 7 and then teacher
write the equation is y = 7x +1234. Y is intercept the launch code. After that
theacher delete the original equation. Once two people meet, they can use their
point to find the slope and then use one of the point and the slope to find the
equation of the line.
The Launch Code Activity
A next exercise is to give each student a point and having two of
them find partners launch codes. This activity is to finding the slope between
two points. Students work with at least two people to find the slope. A student
will explain that the difference in the value of x number of small but the
difference in the value of y will be a large number; as a result, the ratio of
the difference of the y-values for the x-value can not be rounded between 1 and
10. Make conclusions based on all the
information is always one of the best parts of the lesson and very represent
NCTM focus on reasoning and sense making (NCTM 2000).
Extension: Converting Letters to Numbers
After student complete all the from of the equation that use the
gradient then finding the value of x. After find the value of x then is used as
code (x,y). Y is point that student have.
A Lesson For Everyone
Students are more interested in subject like these incorporates
history, geometry, algebra and cryptography.
Source : article Cracking Codes and Launching Rockets Teo J.
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