# On the Overpass

This blog talks about everything; school works,politics,economy,love,opinions and the like.You can ask anything and I am willing to answer.

## Huwebes, Disyembre 25, 2014

## Huwebes, Mayo 10, 2012

## Sabado, Marso 3, 2012

## Martes, Pebrero 21, 2012

### Just a Post

Many are struggling towards happiness, but they don't know the very reason why they are unhappy.

It is just like an Athiest who does not believe in the existence of God but implying that God really exists.

Same as being keen in observing the shortcomings of others but does not see oneself's limitations.

Like defying love because of the experiences that resulted to pain.

Is that a natural phenomenon of a HUMAN PERSONALITY or just a psychology of being imperfect.

I really do not know .

Is being rude a coping mechanism of not accepting the reality?

This is a mind over matter that we must dealt with.

It is just like an Athiest who does not believe in the existence of God but implying that God really exists.

Same as being keen in observing the shortcomings of others but does not see oneself's limitations.

Like defying love because of the experiences that resulted to pain.

Is that a natural phenomenon of a HUMAN PERSONALITY or just a psychology of being imperfect.

I really do not know .

Is being rude a coping mechanism of not accepting the reality?

This is a mind over matter that we must dealt with.

## Linggo, Pebrero 19, 2012

### THE OVERPASS: No Permit, No Exam

Withstand
sun’s penetrating rays, combat push and pull attacks of the people falling in
line, skip meals, and witness the accent of tongue-lashing words.

It
was last August 2 when students huskily rushed to the luminous windows of The
Finance Office like everyone’s in a race. They were waiting impatiently to be
entertained. Some wee reprimanding for the priorities given to the parents
while they tried their best to extend their palms to be given a priority number
ranging from 1-1000. Their poses jumbled with huge drops of sweat constantly
falling.

Obviously
not all can pay exactly on a given due
date, and hence should write a letter addressed to the Vice President of
Finance in block form, no erasures if possible and reasonably stated. Of
course, who among the college students have not written a promissory letter,
ever since?

I
myself had experienced the tiring process of paying fees in partial. I had to get
my assessment first, prepare my ID., observe keenly if somebody inserts in cuts
through of the line, and if someone does how I am going to confront that person
to fall in line properly. Worn out, the feeling of WOW would then be felt after
receiving the four-sided sheets—the permit.

Unfortunately among
thousands of students, many can’t still afford to pay their tuition or even
half of it on time because of financial difficulties and so they will not be
allowed to take the scheduled examination considering the NO PERMIT, NO EXAM
policy. However according to the student handbook, these students, upon grant
of their request take a special exam, provides that the garnered score is
computed to 80% as the highest grade.

Distinction
among teachers is also taken account herewith. Few teachers disregard the
presenting of permit in giving exams while others heed to the policy. Mr.
Albert Musico said during the First General Assembly this school year that
scores for special exams can still reach 100% provided valid reasons are given
by a student, but what valid is varies by this matter. Hence, what is valid to
one cannot be valid to another.

September
10, 2009, Raymund Palatino of Kabataan Party list filed the House Bill 4791-Anti
No Permit, No Exam in the Congress. This states that even in the absence of
permit during Midterm and Final Exam in post- secondary level, examination must
be given to the students, and a fine of Php 20-50,000 multiplied to the number
of students will be charged to the teacher who violates it.

Public’s
reaction approved to it for sympathy and consideration. Palatino said that
students with fees in arrears are usually disallowed from taking exam which may
cause them to fail the subject and even experience humiliation.

This
column has nothing against the administration or the government. This is
written not against an individual but an attitude. An attitude that causes students
to experience downfall, gives students discouragement, and draws them to
humiliation and shame.

This
is not a protest but a campaign. A campaign for the teachers to be more
affectionate, helpful, and understanding to students with or without an
examination permit, even before the existence of “ANTI-No Permit, No Exam.”

I
write this for the many unprivileged students. Educators want to mold
productive students and by molding them, they give much attention to figures.
Figures represented by grades, which are much affected by the 20 percent
deduction due to special exams.

Commission
on Higher Education (CHED) already approved the aforementioned Bill but it
still awaits certain deliberation and other legal process. Although I think the
School Administration will not embrace abruptly to this, we are only asking
understanding for the student’s sake. For the people in the Congress, I
acknowledge your approval to the said Bill. I only hope that this will be
totally implemented and recognized.

## Sabado, Pebrero 18, 2012

### TEACHER( a subjective criticism)

*What would a teacher really do in a class in which most of the students doesn't know how to deal with the SUBJECT MATTER?*

It is not really easy to become a teacher because you are going to teach students the best way that you can for them to become good citizens in the future.

But what happens when the teacher you want to have is different from what you have expected?

This is a fact. I do not write this because I hate teachers.I write this because I want the future teachers to be not like them.

Imagine that you are the only alien in a class and you don't know anyone there?Yes, you have a teacher

but a teacher who is not existing. A teacher that appears only thrice or twice a week, gives quizzes which are not discussed,scolds us without doing anything wrong, and gives grades which does not respond to our performances.

We are paying for them to teach us but it appears that we are going to learn by ourselves. Where are the builders of tomorrow and the changers of lives? We don't want to be ignorant in any subject we enrolled ourselves.What are you going to do when you asked your professor about something then what you receive are insults and discrimination in return? Isn't that absurd especially if your teacher is a Doctor of Education?

This issue is really a big deal for me for I'm studying to become a LEARNED PERSON! If this kind of teacher strikes my way, I will never step back for I am really a threat.

## Huwebes, Pebrero 9, 2012

## Lunes, Pebrero 6, 2012

### Basic Trigonometry

### Introduction to Angles

Trigonometry is the study of angles and relationships between them.
Especially important in trigonometry are the angles of a triangle. For this
reason, trigonometry is closely linked with geometry. One of
the major differences between trigonometry and geometry, though, is that
trigonometry concerns itself with actual measurements of angles and sides of a
triangle, whereas geometry focuses on establishing relationships between
unmeasured angles and sides. To begin our study of trigonometry, we'll review
the definition and some characteristics of angles to make sure we have a solid
foundation for learning more about them.

Angles, by definition, lie in a plane, so
trigonometry is a two-dimensional field of study. It will be convenient, and
eventually necessary, to become familiar with the coordinate plane, which is
a system of measuring and plotting points in two dimensions. The location
of any point in a plane, then, can be specified by exact coordinates. A
point can also be specified by a vector. A vector is like a line
segment lying in a specific position--it has
length and direction. Vectors can be used to determine the location of points,
as well as the measure of certain angles. These basic concepts will provide a
foundation for understanding the principles of trigonometry.

**Angles Defined**

An angle is the union of two rays that share a common endpoint. The
rays are called the sides of the angle, and the common endpoint is the
vertex of the angle. The measure of an angle is the measure of the space
between the rays. It is the direction of the rays relative to one another that
determine the measure of an angle.

In trigonometry, angles are often defined in terms of rotation. Consider one
ray, and then let it rotate a fixed distance about its endpoint. The ray in its
initial position before the rotation, and the ray in its ending, or terminal
position, after the rotation, creates an angle. The endpoint point about which
the ray rotates is the vertex. The amount of rotation determines the measure of
the angle. The ray in the initial position, before the rotation, is called the
initial side of the angle. The ray in the terminal position, after the
rotation, is called the terminal side of the angle. An angle created this
way has a positive measure if the rotation was counterclockwise, and a negative
measure if the rotation was clockwise.

Note that a ray can rotate all the way around to its initial position, and
possibly further, and still result in an angle with an initial and terminal
side. This definition of an angle places no restriction on the magnitude of an
angle (how far it can rotate).

### Measuring Angles

There are three units of measure for angles: revolutions, degrees, and radians. In trigonometry, radians are used most often, but it is important to be able to convert between any of the three units.#### Revolutions

A revolution is the measure of an angle formed when the initial side rotates all the way around its vertex until it reaches its initial position. Thus, the terminal side is in the same exact position as the initial side. In trigonometry, angles can have a measure of many revolutions--there is no limit to the magnitude of a given angle. A revolution can be abbreviated "rev".#### Degrees

A more common way to measure angles is in degrees. There are 360 degrees in one revolution. Degrees can be subdivided, too. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Therefore, an angle whose measure is one second has a measure of degrees. When perpendicularity is discussed, it is most often defined as a situation in which a 90 degree angle exists. Often degrees are used to describe certain triangles, like 30-60-90 and 45-45-90 triangles. As previously mentioned, however, in most cases that concern trigonometry, radians are the most useful and manageable unit of measure. Degrees are symbolized with a small superscript circle after the number (measure). 360 degrees is symbolized 360^{ o }.

#### Radian

A radian is not a unit of measure that is arbitrarily defined, like a degree. Its definition is geometrical. One radian (1 rad) is the measure of the central angle (an angle whose vertex is the center of a circle) that intercepts an arc whose length is equal to the radius of the circle. The measure of such an angle is always the same, regardless of the radius of the circle. It is a naturally occurring unit of measure, just like*Π*is the natural ratio of the circumference of a circle and the diameter. If an angle of one radian intercepts an arc of length

*r*, then a central angle of 2

*Π*radians would intercept an arc of length 2

*Πr*, which is the circumference of the circle. Such a central angle has a measure of one revolution. Therefore, 1 rev = 360

^{ o }= 2

*Π*rad . Also, 1 rad = ()

^{ o }= rev.

#### Conversion between Revolutions, Degrees, and Radians

Below is a chart with angle measures of common angles in revolutions, degrees, and radians. Any angle can be converted from one set of units to another using the definition of the units, but it will save time to memorize a few simple conversions. It is particularly important to be able to convert between degrees and radians.
Figure %: Some common angles measured in all three units of measurement

Figure %: The coordinate plane

### The Coordinate Plane

Angles lie in a plane. To specify the point in space where an angle lies, or where any figure exists, a plane can be assigned*coordinates.*Since a plane is two-dimensional, only two coordinates are required to designate a specific location for every point in the plane. One coordinate determines the length, and the other determines width. In reality, length and width are the same thing--they are used because they describe distance in two directions which are perpendicular to each other. This is all the coordinate plane is: a plane with two perpendicular axes by which distance in either of two dimensions can be measured.

The coordinate plane consists of an origin and two axes. The origin is a point. The axes are lines perpendicular to each other that intersect at the origin. Below is pictured the coordinate plane, with the origin at point O.

The origin is fixed, and designated as the point (0,0). Every other point is assigned an ordered pair, (

*x*,

*y*) , according to its position relative to the origin. The two axes are named the $x$-axis and the y-axis. In most drawings, the

*x*-axis is the horizontal axis, and the y-axis is the vertical axis, but this does not necessarily need to be the case. A point is assigned an ordered pair consisting of two real numbers: The first is the x-coordinate, which measures how far the point is from the y-axis. The second real number making up an ordered pair is the y-coordinate, which measures the distance between the point and the x-axis. Often the axes are pictured with tick marks indicating length to make it easier to measure distance. When a point is drawn into the coordinate plane and assigned an ordered pair, it is plotted. Take a gander at the plotted points below.

Figure %: Some points plotted in the coordinate plane

A plane extends in all direction without limit. So does the coordinate plane. Although there are many ways to draw the coordinate plane, it is always the same thing: a point of origin and two axes, which intersect at the origin and lie perpendicular to each other. The origin, by definition, always has the coordinates (0,0). Every other point in the plane can be measured according to the axes. Even the point (33563452143,23455434) exists and can be located in any coordinate plane; it extends without limit. Below are some other ways to draw the coordinate plane. All look different, but they are all the same coordinate plane.

Figure %: Different views of the coordinate plane

*x*< 0 and

*y*> 0 . Quadrant III is the region in which

*x*< 0 and

*y*< 0 . Quadrant IV is the region in which

*x*> 0 and

*y*< 0 . The quadrants are labeled in the figure below.

Figure %: Quadrants I - IV.

### Terms

**Angle**- The union of two rays with a common vertex.

**Coordinate Plane**- Any plane with two perpendicular intersecting lines. The point of intersection of the lines is called the origin and the location of any point in the plane can be measured along the two lines, or axes.

**Degree**- A unit of measure for angles. 360 degrees equals one revolution and 2Π radians.

**Initial Side**- The side of an angle from which the rotation begins; the initial position of the ray whose rotation creates the angle.

**Magnitude**- The length of a vector

**Minute**- A subdivision of a degree. One minute is equal to degrees.

**Ordered Pair**- The $x$-coordinate and $y$-coordinate, placed together between parentheses and separated by a comma. An ordered pair specifies a location in the coordinate plane.

**Origin**- The intersection of the $x$-axis and $y$-axis in a coordinate plane. The location of the origin is (0,0).

**Plot**- To draw a point in the coordinate plane at a specific location. Points are plotted in the coordinate plane.

**Quadrant**- One of the four regions in the coordinate plane created by the intersection of the axes

**Quadrantal Angle**- An angle in standard position whose terminal side lies along one of the axes

**Radian**- A unit of measure for angles. 2Π radians equals one revolution and 360 degrees.

**Ray**- A part of a line with a fixed endpoint on one end that extends without bound in the other direction.

**Revolution**- A rotation of the magnitude such that the initial side of an angle coincides with the terminal side; one complete rotation. One revolution equals 360 degrees and 2Π radians.

**Second**- A subdivision of a degree. One second is equal to degrees, or minutes.

**Side**- One of the rays that makes up an angle (is a side of the angle).

**Standard Position**- The location of an angle such that its vertex lies at the origin and its initial side lies along the positive $x$-axis.

**Terminal Side**- The side of an angle after rotation; the final position of the ray whose rotation created an angle.

**Vector**- A line segment with a starting point and an endpoint that represents motion in the direction of the endpoint, and which lies in a specific position such that its direction is fixed.

**Vertex**- The common endpoint of two rays that form an angle

**x-axis**- One of the two perpendicular lines that form the coordinate plane; usually the x-axis lies in a horizontal position.

**x-component**- The magnitude of a vector in the x direction.

**x-coordinate**- The distance between a point and the y-axis.

**y-axis**- One of the two perpendicular lines that form the coordinate plane; usually the y-axis lies in a vertical position.

**y-component**- The magnitude of a vector in the y direction.

**y-coordinate**- The distance between a point and the x-axis.

*REFERENCES: sparknotes, Trigonometry Book-William Hart*

### The Beauty of IMPERFECTION

Imagine a perfect world with perfect people.

Would forgiveness still exist?

Would people learn how to repent from their sins?

It's a matter of how our world is considered perfect for the existence of ANGER, WRATH and REVENGE

nobody will stand up after a great downfall

nobody will aim for the betterment of all

nobody will strive harder

ALL IS WELL if the wellness is discerned well

not in a perfect manner in the absence of mistakes..

but in time when mistakes are modified and corrected

the way we want it to be..

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