Tuesday, February 9, 2010

Geometric Exalted: Chosen of the Cartesian Plane

Yesterday's post highlighted the cross-overs I'm making with White Wolf's Exalted into my day-to-day mad antics in class, and when I administered my BUSMATH (Business Mathematics) exam today with the rather harder-to-socialize-with Tourism students, I devised the darker side of my Algebraic Exalted from ALGEBRA class - this one being the Geometric Exalted.

Similar to how the Solar Exalted and the Abyssal Exalted relate, the Algebraics and the Geometrics share a similar relationship - they are inverse of one another's concept, the same way both topics are discussed differently.

I will waste no time in highlighting them before I forget the essence of my next post, which will focus on the suffering I had to endure correcting their papers. Without ado, I present...

The Geometric Exalted: Chosen of the Cartesian Plane

The Linear Caste

Linear Caste Geometrics, like the line that they represent, are straightforward, direct students who take the lessons to heart and apply them properly without losing track of what's important - comprehension. Unwavering to their goal and focused to be as straight as can be lest they lose the essence of their existence, these Chosen are probably the most decent among the castes.

In other words, these are the students who have applied what they had learned in the lesson to heart and answered the exam as accurately and as correctly as they could. Few people get chosen under this caste's banner, sadly.

The Circular Caste

Circulars, like the shape they represent, revolve on an eternal, undying loop, for without a perfect loop that is equidistant from a particular goal, they cannot be called circles. In the same manner that the circle's center represents the topic in discussion, the Circulars strive to understand the topic, but end up pursuing the topic in circles until they form a vicious cycle of torment that never seems to end.

Exams-wise, these are the students who, try as they might to recall what they had learned in the past lessons, are unable to put the finger on the solution to the problem. Hence they end up going in circles with the problem they are supposed to solve.

The Hyperbolic Caste

The Hyperbola is one of the most curious geometric formations to ever be graphed on a Cartesian Plane, and its uniqueness and ability to skew from one end of the plane to another makes it a remarkable concept to bear its own Chosen. Students under this caste, while understanding of the lesson and formulas at heart, skew towards the other side and end up committing horrible mistakes.

In short, these are the students who make use of the wrong formulas to solve a particular problem. Correct and accurate as their application of the formula may be, they have ended up solving for the wrong answer.

The Point Caste

The foundation of every geometric figure in the Cartesian Plane is a point and without a point there would be no lines, no shapes, no spiraling figures ever. A point's presence is of the highest important but it only serves as a foundation to form the magical things that geometry provides. Hence those who bear the caste of the Point are those who are still starting out as foundations to greater knowledges, but will need other points or guidance before they can progress to greater levels of achievement.

Students under this caste may have grasped the fundamentals of the lesson, but fail to apply it when the problem suddenly changes its style of statement. Sad as it may sound, they are those who still needs to master thinking out of the box.

The Angular Caste

Angles are a curious thing in geometry, how the line suddenly 'breaks off' and skews elsewhere without forming a graceful curve. Its sheer flexibility of forming figures of nearly a degree to 360 makes it a highly amusing topic of discussion in geometry and to its brother branches of learning such as Trigonometry. Its Chosen, however, bear the same flexibility as an angle itself, capable of formulating clever tricks to outsmart the problem.

Of course, it is often sad or interesting (however it is taken) to note that the Angular Caste Geometrics make use of their interesting powers of flexibility to extend their knowledge in the exam towards that of their immediate neighbors.

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So there you have it - the Geometric Exalted. Are you a Geometric and if so, under which caste would you belong?




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