"It is clear that the chief
end of mathematical study must be to make the students
think."—John Wesley
Jada Webb, class of 2017 
110518
to
110918

HELLO, students and parents!
This
is the 12^{th} week of school and the 4^{th}
week of the 2^{nd} 9weeks grading period. This
is also THE LAST WEEK OF SCHOOL BEFORE OUR WEEKLONG
THANKSGIVING BREAK!!! IN OTHER WORDS, THERE IS NO
SCHOOL NEXT WEEK, SOMETHING ELSE FOR WHICH TO GIVE
THANKS!!!
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
quote of the week
"Try not to become a person of success, but
rather try to become a person of value."
—Albert Einstein


This week in the classroom . . .
PreAP Precal
MONDAY, NOVEMBER 12, 2018
We will:
Explore properties of logarithmic
functions. §4.3
I will:
Sketch a graph of a transformed log
equation and list properties.

TUESDAY, NOVEMBER 13, 2018
We will:
Explore properties of logarithmic
functions. §4.3
I will:
Sketch a graph of a transformed log
equation and list properties.

WEDNESDAY, NOVEMBER 14, 2018
We will:
Explore properties of logarithmic
functions. §4.3
I will:
Sketch a graph of a transformed log
equation and list properties.

THURSDAY, NOVEMBER 15, 2018
We will:
Use logs to make molehills out of
mountains. §4.4
I will:
Manipulate an expression with
factors and exponents with logs.

FRIDAY, NOVEMBER 16, 2018
We will:
Use logs to make molehills out of
mountains. §4.4
I will:
Manipulate an expression with
factors and exponents with logs.


AP Calculus AB
MONDAY, NOVEMBER 12, 2018
We will:
Learn how and when to differentiate
implicit equations §2.7
I will:
Calculate a derivative using
implicit differentiation.

TUESDAY, NOVEMBER 13, 2018
We will:
Learn how and when to differentiate
implicit equations §2.7
I will:
Calculate a derivative using
implicit differentiation.

WEDNESDAY, NOVEMBER 14, 2018
We will:
Learn how and when to differentiate
implicit equations §2.7
I will:
Calculate a derivative using
implicit differentiation.

THURSDAY, NOVEMBER 15, 2018
We will:
Learn how to differentiate inverse
functions §2.8
I will:
Calculate a derivative of an inverse
function.

FRIDAY, NOVEMBER 09, 2018
We will:
Learn how to differentiate inverse
functions §2.8
I will:
Calculate a derivative of an inverse
function.


AP Calculus BC
MONDAY, NOVEMBER 12, 2018
We will:
Use the MVT to prove the existence
of a slope §3.2
I will:
State and use the Mean Value Theorem
to prove slopes.

TUESDAY, NOVEMBER 13, 2018
We will:
Use the MVT to prove the existence
of a slope §3.2
I will:
State and use the Mean Value Theorem
to prove slopes.

WEDNESDAY, NOVEMBER 14, 2018
We will:
Use the MVT to prove the existence
of a slope §3.2
I will:
State and use the Mean Value Theorem
to prove slopes.

THURSDAY, NOVEMBER 15, 2018
We will:
Use the 1^{st} Derivative
test to find local extrema §3.3
I will:
Find and test critical values of a
function for local extrema.

FRIDAY, NOVEMBER 16, 2018
We will:
Use the 1^{st} Derivative
test to find local extrema §3.3
I will:
Find and test critical values of a
function for local extrema.


This week on campus . . .
Monday, November
12th

6:00 Cheer Booster Meeting in library

6:30 Evening with the Counselors for
Sophomore and Junior Parents in
auditorium

6:30 Boy's Basketball parent meeting
in competition gym

7:00 Board Meeting at Education
Center
Tuesday, November
13th

8:00  Parent meeting with Counselors
for Sophomore and Junior Parents in
library (same presentation as the Monday
night meeting)

5:00  Swim Tri Meet against
Steel/East Central at Das Rec

6:00  ROTC Parent Meeting in library

7:00  Boy's Basketball vs. Southwest
Legacy (home)

7:00  Girl's Basketball vs.
Roosevelt (away)
Wednesday,
November 14th  Advisory Schedule

Fundamental 5 Recognize and Reinforce
Training during conference periods in
L106  all classroom teachers required
to attend during your conference period

Men's Golf at Clark Fall Scramble

Signing Day

4:15  HOSA Meeting in library

6:30  Wrestling Blue/Gray Dual
(home)
Thursday, November
15th

Unannounced Lock Down Drill

8:00  Google Classroom training in
library

JV Boy's Basketball Tournament at
NBHS

Varsity Girl's Basketball Tournament
in Marble Falls
Friday, November
16th

Fat Friday!!!

Varsity Girl's Basketball Tournament
in Marble Falls

7:00  Varsity Boy's Basketball vs.
Seguin (home)
Saturday, November
17th

JV Boy's Basketball Tournament at
NBHS

Varsity Girl's Basketball Tournament
in Marble Falls
NBHS Athletics Calendar 

MATH BIO:
Eratosthenes
(276194 BC) was a Greek mathematician, astronomer,
poet, athlete, geographer, and professional librarian.
As the chief librarian of the Library of Alexandria (the
center of all knowledge of the day), he made several
discoveries and inventions including a system of
latitude and longitude and musical scales. His other
contributions include the following:

The Sieve of
Eratosthenes as a way of finding prime numbers.

The measurement of
the SunEarth distance, now called the astronomical
unit (804,000,000 stadia, 1 stadion varies from 157
to 209 meters).

The measurement of
the distance to the Moon (780,000 stadia).

The approximate angle
of the tilt of the earth.

He compiled a star
catalogue containing 675 stars, which was not
preserved.

A map of the Nile's
route as far as Khartoum.

A map of the entire
known world, from the British Isles to Ceylon, and
from the Caspian Sea to Ethiopia.

Invented the leap
day.
He was ALSO
the first Greek to calculate the circumference of the
earth (with remarkable accuracy). Eratosthenes was also
the founder of scientific chronology; he was the first
to try to arrange historical events in chronological
order. We still use his dates for most of ancient
history.
In his time,
the known world extended from Spain to India.
Eratosthenes believed that a vast ocean covered the rest
of the world. If it weren’t for the enormity of the
ocean, he thought it would be possible to sail from
Spain to India by heading west. It was this idea that
inspired Christopher Columbus to undertake his famous
voyage in 1492.
Other
scientists during his time nicknamed him “Beta,” and it
wasn’t because he was the coolest guy in his
fraternity. Eratosthenes had so many interests that his
contemporaries considered him a dabbler; to them, he was
secondclass, a beta (although Eratosthenes turned it
around by saying he was the “second best” in any field
during his time.)
MATH FACT:
How did
Eratosthenes approximate the circumference of the
earth? Pure genius. Eratosthenes knew of a special
well near Syene, Egypt. At noon on June 21^{st},
the longest day of the year (summer solstice), the sun’s
rays penetrated all the way to the bottom of the well,
meaning that the sun was directly overhead. He realized
that if the sun was directly overhead in Syene, then its
rays must be hitting at an angle in Alexandria, which
was due north (same meridian). If he could measure the
angle by which the sun was off center, then he would
have the clue he needed to extrapolate the size of the
earth. So, at noon on June 21 in Alexandria, he took a
measuring stick and captured the angle cast by its
shadow.
Eratosthenes
knew that the angle of the shadow was equivalent to the
angle formed by the
two cities and the center of the earth. So, he divided
the size of that angle by 360, the number of degrees in
a circle, to determine the fraction of the earth that
separated the two cities. The answer was onefiftieth.
In other words, if you walked back and forth between
Syene and Alexandria fifty times, then you would have
walked the equivalent of the earth’s circumference.
All that
remained was to measure the precise distance between the
two cities. For this, Eratosthenes hired a pacer, a
professional walker trained in taking perfectly equal
steps. From the measurements of the pacer (about 5,000
stadia), Eratosthenes estimated the circumference of
earth to be 24,700 miles. Today, using the exact same
principles developed by Eratosthenes 2,000 years ago,
modern instruments estimate the distance around the
equator to be 24,902 miles.
Here’s a nice video describing the process as explained by Carl Sagan. Got 7
minutes?
MATH QUOTE:
[Eratosthenes]
... is a mathematician among geographers, and yet a
geographer among mathematicians; and consequently on
both sides he offers his opponents occasions for
contradiction.—H.L.
Jones, geographer, circa 1917
Are you SURE
you took equal steps and kept good count? Remember, I’m
waiving your library fine of 3 drachma for your overdue
book “How to walk and chew gum at the same time.”—Eratosthenes
to his hired pacer upon his return
LIMERICK:
Alexandria's
polymath Greek
Read from shadows' small angles, oblique
To a tower at noon
(21st day in June),
The whole size of the Earth—so to speak!
AND
The Greek
Eratosthenes
Found with the
greatest of ease
The actual
girth
Of our great
planet earth
Plus or minus
a couple degrees.
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
