"It is clear that the chief
end of mathematical study must be to make the students
think."—John Wesley
Jada Webb, class of 2017 
012119
to
012519

HELLO, students and parents!
This
is the 19^{th} week of school and the 3^{rd}
week of the 3^{rd} 9weeks grading period.
A
reminder that if any student is absent, they are
expected to watch the video of that day’s lecture, found
either on the YouTube link on their math page or in the
shared google folder,
so that they are up to speed when they return. Also, I
am in my classroom each morning at 8:00 AM for tutorials
(Wednesday duty, though, at 8:20 AM.)
Caring Achievers Reach
Excellence
“Nothing
in all the world is more dangerous than
sincere ignorance and conscientious
stupidity.”
—Martin Luther King, Jr. 

PreAP Precal
MONDAY, JANUARY 21, 2019
We will:
MLK DAY
MLK DAY
I will:
MLK DAY
MLK DAY

TUESDAY, JANUARY 22, 2019
We will:
Apply angles to rotational
situations §5.2
I will:
Compute angular velocity of a
spinning object

WED, JANUARY 23, 2019
We will:
Graph circular trigonometric
functions §5.3
I will:
Develop the Unit Circle and the trig
functions

THUR, JANUARY 24, 2019
We will:
Graph circular trigonometric
functions §5.3
I will:
Develop the Unit Circle and the trig
functions

FRIDAY, JANUARY 25, 2019
We will:
Graph circular trigonometric
functions §5.3
I will:
Develop the Unit Circle and the trig
functions


AP Calculus AB
MONDAY, JANUARY 21 2019
We will:
MLK DAY
MLK DAY
I will:
MLK DAY
MLK DAY

TUESDAY, JANUARY 22, 2019
We will:
Find inflection values of a function
§3.4
I will:
Create a number line chart to
determine sign changes of f”.

WED, JANUARY 23, 2019
We will:
Analyze relations among f, f’, and
f” §3.5
I will:
Sketch a graph of f and f” from a
graph of f’

THUR, JANUARY 24, 2019
We will:
Analyze relations among f, f’, and
f” §3.5
I will:
Sketch a graph of f and f” from a
graph of f’

FRIDAY, JANUARY 25, 2019
We will:
Find optimal values using
differential calculus §3.6
I will:
Find the absolute max mins of real
life applications


AP Calculus BC
MONDAY, JANUARY 21, 2019
We will:
MLK DAY
MLK DAY
I will:
MLK DAY
MLK DAY

TUESDAY, JANUARY 23, 2019
We will:
Integrate by pattern recognition &
usubstitution §4.4
I will:
Find an antiderivative and
indefinite integral

WED, JANUARY 23, 2019
We will:
Integrate by pattern recognition &
usubstitution §4.4
I will:
Find an antiderivative and
indefinite integral

THUR, JANUARY 24, 2019
We will:
Integrate by pattern recognition &
usubstitution §4.4
I will:
Find an antiderivative and
indefinite integral

FRIDAY, JANUARY 25, 2019
We will:
Solve differential equations using
calculus §5.1
I will:
Find a particular solution to a
differential equation


Academic AllState
Monday, January 21st

No
School! Student Holiday!
Tuesday, January 22nd

4:05
 Campus Report Card Presentation room
203

7:00
 Boys Basketball vs. Canyon (home)

7:00
 Girls Basketball vs. Canyon (away)

7:15
 Girls Soccer vs. Dripping Springs
(away)
Wednesday, January 23rd  AM Assembly
Schedule

STUCO
Blood Drive all day

11:15
 Senior Assembly about Scholarships
Thursday, January 24th

Tennis vs. San Marcos

6:00
 Dual Credit meeting for all interested
parents in library

6:30
 Wrestling vs. Canyon (home)
Friday. January 25th

Men's
Golf at Hill Country Invitational

5:00
 Wrestling vs. Madison/Reagan (at
Reagan)

7:00
 Boys Basketball vs. East Central
(away)

7:00
 Girls Basketball vs. East Central
(home)

7:15
 Girls Soccer vs. Canyon (home)

7:15
 Boys Soccer vs. Canyon (away)
Saturday, January 26th

Men's
Golf at Hill Country Invitational

Swim
District Meet at Blossom in SA

Wrestling at CC Veteran Memorial
Tournament in Corpus

10:00
 Softball Scrimmage (home)
NBHS Athletics Calendar 

MATH
BIO:
Galileo
Galilei
(1564 – 1642) Born in Pisa, Italy, Galileo pioneered
"experimental scientific method" and was the first to
use a refracting telescope to make important
astronomical discoveries.
In 1609 Galileo learned of the
invention of the telescope in Holland. From the
barest description he constructed a vastly superior
model. Galileo made a series of profound discoveries
using his new telescope, including the moons of the
planet Jupiter and the phases of the planet Venus
(similar to those of Earth's moon).
As a professor of astronomy at University of Pisa,
Galileo was required to teach the accepted theory of his
time that the sun and all the planets revolved around
the Earth. Later at University
of Padua he was exposed to a new theory, proposed by
Nicolaus Copernicus, that the Earth and all the other
planets revolved around the sun. Galileo's observations
with his new telescope convinced him of the truth of
Copernicus's suncentered or heliocentric theory.
Galileo's support for the heliocentric theory got him
into trouble with the Roman Catholic Church. In 1633 the
Inquisition convicted him of heresy and forced him to
recant (publicly withdraw) his support of Copernicus.
They sentenced him to life imprisonment, but because of
his advanced age allowed him serve his term under house
arrest at his villa in Arcetri outside of
Florence.
Galileo's originality as a scientist lay in his method
of inquiry. First he reduced problems to a simple set of
terms on the basis of everyday experience and
commonsense logic. Then he analyzed and resolved them
according to simple mathematical descriptions. The
success with which he applied this technique to the
analysis of motion opened the way for modern
mathematical and experimental physics. Isaac Newton used
one of Galileo's mathematical descriptions, "The Law of
Inertia," as the foundation for his "First Law of
Motion."
Galileo became blind at the age of 72. His
blindness has often been
attributed to damage done to his eyes by telescopic
observations he made of the Sun in 1613. The truth is he
was blinded by a combination of cataracts and
glaucoma. Galileo died at
Arcetri in 1642—the year Isaac Newton was born.
MATH FACT:
Maybe the most
famous scientific experiment is Galileo Galilei's
dropping objects from the leaning tower of Pisa in order
to prove that all objects fall at the same rate,
whatever their mass.
Galileo
realized, even during his earliest studies (published in
his book On motion) that the speed of a falling
body is independent of its
weight. He argued as follows: suppose, as Aristotle
did, that the manner in which a body falls does depend
on it weight (or on some other quality, such as its
``fiery'' or ``earthy'' character), then, for example, a
two pound rock should fall faster than a one pound rock.
But if we take a two pound rock, split it in half and
join the halves by a light string then one the one hand
this contraption should fall as fast as a two pound
rock, but on the other hand it should fall as fast as a
onepound rock. Since any object should have a definite
speed as it falls, this argument shows that the
Aristotle's assumption that the speed of falling bodies
is determined by their weight is inconsistent; it is
simply wrong.
Two bodies
released from a given height will reach the ground (in
general) at different times not because they have
different ``earthliness'' and ``fiery'' characteristics,
but merely because they are affected by air friction
differently. If the experiment is tried in vacuum
any two objects when released from a given height,
will reach the ground simultaneously (this was verified
by the Apollo astronauts on the Moon using a feather and
a wrench).
This result is
peculiar to gravity; other forces do not behave like
this at all. For example, if you kick two objects (thus
applying a force to them) the heavier one will move more
slowly than the lighter one. In contrast, objects being
affected by gravity (and starting with the same speed)
will have the same speed at all times. This unique
property of gravity was one of the motivations for
Einstein's general theory of relativity.
Also in his
investigations of falling bodies Galileo determined that
the acceleration of these bodies is constant. He
demonstrated that an object released from a height
starts with zero velocity and increases its speed with
time (before him it was thought that bodies when
released acquire instantaneously a velocity which
remained constant but was larger the heavier the object
was). Experimenting with inclined planes, and measuring
a ball's positions after equal time intervals Galileo
discovered the mathematical expression of the law of
falling bodies: the distance increases as the square
of the time.
MATH QUOTE:
“All
truths are easy to understand once they are discovered;
the point is to discover them.”—Galileo
Galilei
“You cannot
teach a man anything; you can only help him discover it
in himself.”—Galileo Galilei
LIMERICK:
Galileo's experiment worked because the air is sufficiently thin.
Who knows what he would have concluded if we lived in a
thicker medium...
What would you
have thought, Galileo,
If instead you dropped cows and did say, "Oh!
To lessen the sound
Of the moos from the ground,
They should fall not through air but through mayo!"
Have a great
week,
Kevin W.
Korpi
2005 District Teacher of the Year
2015 Region 13 Teacher of the Year
New Braunfels
High School
www.korpisworld.com
kkorpi@nbisd.org
